Ideker Farms, Inc. v. United States ( 2020 )


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  •           In the United States Court of Federal Claims
    No. 14-183L
    (Filed: December 14, 2020)
    )
    IDEKER FARMS, INC., et al.,               )
    )
    Plaintiffs,          )      Taking; Fifth Amendment; Flooding;
    )      Arkansas Game & Fish; Flowage
    v.                                        )      Easement; Just Compensation; Before-
    )      and-After Valuation; Consequential
    THE UNITED STATES,                        )      Damages; Interest Rate
    )
    Defendant.           )
    )
    R. Dan Boulware, St. Joseph, MO, for plaintiffs. Edwin H. Smith, Seth C. Wright, St.
    Joseph, MO, and Benjamin D. Brown, Washington, D.C., of counsel.
    Brent Allen, Environment and Natural Resources Division, U.S. Department of Justice,
    Washington, D.C., with whom was Jean E. Williams, Deputy Assistant Attorney General,
    for defendant. Jacqueline C. Brown, Elizabeth McGurk, Brad Leneis, Terry Petrie, and
    Frank Singer, Washington, D.C., of counsel.
    TRIAL OPINION
    FIRESTONE, Senior Judge.
    Set forth below are the court’s findings of fact and conclusions of law following
    the Phase II trial in Ideker v. United States. This takings action was brought by over four
    hundred farmers, landowners, and business owners from six states claiming that changes
    made by the United States Army Corps of Engineers (“Corps”) to its operations on the
    Missouri River (“River”) after 2004 under the Missouri River Recovery Program
    (“MRRP”) in order to comply with the Endangered Species Act (“ESA”) have resulted in
    the taking of flowage easements across their properties without just compensation in
    violation of the Fifth Amendment to the United States Constitution.
    In the Phase I trial, the court examined the claims of 44 representative plaintiffs to
    determine whether they met some of the threshold requirements for establishing a taking
    by intermittent flooding set forth by the Supreme Court in Arkansas Game & Fish
    Commission v. United States, 
    568 U.S. 23
    , 34 (2012) (“Arkansas Game & Fish”). The
    court in Phase I focused on whether the 44 representative plaintiffs could prove that some
    or all of the flooding of their properties was caused by the Corps’ actions under the
    MRRP to comply with the ESA and, if so, whether that flooding was a foreseeable
    consequence of the Corps’ actions.1 The court also examined in Phase I whether any of
    the flooding caused by the Corps was sufficiently severe to give rise to a potential taking.
    Causation, foreseeability, and severity are three of the Arkansas Game & Fish factors the
    court must consider in determining whether the government has taken a flowage
    easement. 
    568 U.S. at 34, 39
    .
    In the Phase I trial opinion, the court described the history of this case and made
    extensive findings and conclusions regarding the Corps’ changes to the River under the
    1
    In Phase I, the court rejected the claims of all representative plaintiffs who sought
    compensation for a taking based only on the extraordinary flooding that occurred along the River
    in 2011. Ideker v. United States, 
    136 Fed. Cl. 654
    , 691 (2018). The court found that this
    flooding had nothing to do with ESA compliance; instead, it was caused by extraordinary flows
    into the Missouri River Mainstem Reservoir System’s reservoirs at levels beyond the System’s
    design. 
    Id.
     As a consequence, the Corps was forced to release huge volumes of water from the
    System’s dams in order to protect the integrity of the System itself. 
    Id. at 691-93
    . The court
    determined that the flooding in 2011 was necessary to save the System and did not give rise to a
    taking. 
    Id. at 693
    . Many of the Phase I representative plaintiffs had a takings claim based only
    on flooding in 2011 and were accordingly not eligible to proceed to Phase II. See 
    id. at 762-63
    .
    2
    MRRP. The court will not repeat in detail that history or those findings and conclusions
    here. In brief, after considering all of the evidence presented in Phase I, the court
    determined that 28 of the 44 representative plaintiffs had established that the changes
    made by the Corps to the Missouri River Mainstem Reservoir System2 (“System
    Changes”) and the River itself (“River Changes”) under the MRRP3 had foreseeably
    caused increased and repeated flooding on their respective properties. Ideker Farms, Inc.
    v. United States, 
    136 Fed. Cl. 654
     (2018) (“Ideker I”); Ideker Farms, Inc. v. United
    States, 
    142 Fed. Cl. 222
     (2019) (“Ideker II”). More specifically, the court held that the
    actions taken by the Corps when (1) releasing water from the Gavins Point Dam4 to
    protect certain species during periods of high flows, and (2) undoing actions previously
    taken by the Corps to make the River straighter and faster5 (and thus less flood prone)
    resulted in more flooding6 than would have occurred on the properties of 28
    2
    The Missouri River Mainstem Reservoir System is the system of dams and reservoirs
    constructed by the Corps on the Missouri River under the Flood Control Act of 1944. 
    Id.
     at 661-
    62.
    3
    In its Phase I opinion, the court, as a shorthand, referred to the Corps’ River and System
    Changes as the MRRP. 
    Id. at 665
     (The MRRP “is the Corps’ umbrella program for returning the
    Missouri River to a more natural state to aid in the recovery of the Missouri River Basin
    ecosystem.”). In this opinion, the court continues to use the MRRP as the shorthand for these
    River and System Changes.
    4
    The Gavins Point Dam is one of six mainstem dams operated by the Corps on the River. 
    Id. at 661
    .
    5
    The program that sought to make the river straighter, deeper, and faster is known as the
    Missouri River Bank Stabilization and Navigation Project (“BSNP”). 
    Id. at 663
     (describing the
    channelization and stabilization effect of the BSNP).
    6
    The court used the word “flooding” in the Phase I opinion as a shorthand for four different
    types of flooding: “overbank, levee overtopping, blocked drainage, and seepage.” 
    Id. at 700
    .
    3
    representative plaintiffs without the System and River Changes for some or all of the
    following years: 2007, 2008, 2010, 2013, and 2014. See Ideker I, 136 Fed. Cl. at 761-63.
    The court further determined that 14 of the 28 had established that the increased flooding
    attributable to the MRRP had occurred more than three times and was “severe.” Id. The
    court relied primarily on the testimony of plaintiffs’ experts: Dr. Ronald Christensen
    (regarding raised water surface elevations (“WSEs”)), Dr. Theodore Hromadka II
    (regarding increased and more severe flooding based on raised WSEs), and Mr. Glenn
    Tofani (regarding the effect of WSEs on levees and levee failure). See id. at 680-81, 761-
    63.
    In Phase II, the court asked the parties to identify a smaller number of
    representative parties for the purpose of determining whether these plaintiffs could
    establish the remaining Arkansas Game & Fish factors, and, if so, to provide evidence
    regarding just compensation. The parties selected the tracts of three representative
    plaintiffs for the Phase II trial. These are the Adkins property (Property 17), the Ideker
    Farms, Inc. property (Property 33), and the Buffalo Hollow Farms, Inc. property
    (Property 41). These properties are referred to as “representative,” “bellwether” or
    “Phase II” properties by the witnesses in Phase II and throughout this opinion. In Phase
    I, the court concluded that these three plaintiffs had already “established causation,
    foreseeability, and severity” for the flooding of their properties in 2007, 2008, and 2010
    for the Adkins property, in 2007, 2008, 2010, 2013, and 2014 for the Ideker property, and
    The differences are explained in the Phase I opinion. See id. The court uses the term “flooding”
    the same way in this opinion.
    4
    in 2007, 2008, 2010, 2013, and 2014 for the Buffalo Hollow property. Ideker I, 136 Fed.
    Cl. at 761-62.
    The Phase II trial concerning these three representative tracts was held remotely
    over three weeks beginning on July 20, 2020. The court heard testimony from 19
    witnesses during the trial and received 1080 exhibits into evidence. Closing argument for
    the Phase II trial was heard on September 22, 2020.
    This opinion is divided into four sections: (1) causation for post-2014 flooding, (2)
    takings liability for a permanent flowage easement under Arkansas Game & Fish, (3) the
    date of the taking, and (4) just compensation. The court’s findings of fact and legal
    conclusions are set forth in each section separately. As described in more detail below,
    the court has concluded that the three representative plaintiffs have established that the
    government has taken a permanent flowage easement across their representative tracts
    and has determined the just compensation due to these three plaintiffs.
    I.     Causation for Post-2014 Flooding
    The Supreme Court in Arkansas Game & Fish, 
    568 U.S. at 38-39
    , set forth the
    standard for when government-induced intermittent flooding may give rise to a claim for
    the taking of a flowage easement. Under Arkansas Game & Fish, the court must
    undertake a multi-factor, “situation-specific factual inquiry,” 
    id. at 31-32
    , considering
    whether (1) the flooding was caused by the government, see 
    id. at 38
    ; see also Ridge
    Line, Inc. v. United States, 
    346 F.3d 1346
    , 1356 (Fed. Cir. 2003) (holding the court must
    determine “whether the [flooding] on the claimants[’] property was the predictable result
    of the government action”); (2) “the degree to which the invasion is intended or is the
    5
    foreseeable result of the authorized government action,” Ark. Game & Fish, 
    568 U.S. at 39
    , (3) the “[s]everity of the interference,” 
    id.,
     (4) “time” and the duration of the flooding,
    
    id. at 38
    , (5) “the character of the land at issue,” 
    id. at 39
    , and (6) interference with “the
    owner’s ‘reasonable investment-backed expectations’ regarding the land’s use,” 
    id.
    (quoting Palazzolo v. Rhode Island, 
    533 U.S. 606
    , 618 (2001)).
    This first part of the Phase II trial opinion addresses whether the representative
    plaintiffs have established causation for flooding that occurred on their respective
    properties post-2014. In the Phase I trial, the court limited the evidence of flooding to
    December 2014 so that the parties had a closing date for discovery. See Ideker I, 136
    Fed. Cl. at 670. In the Phase II trial, the court allowed the three representative plaintiffs
    to present evidence of any continued flooding post-2014, setting a cut-off date of
    December 2018, again for trial preparation purposes. As discussed below, the three
    representative plaintiffs contend that flooding on their properties is continuing post-2018
    and, as permitted, presented evidence in support of that contention.
    A.     Scope of the Court’s Previous Findings on Causation and the Relevant
    Time Period
    Before turning to the court’s causation findings regarding flooding on the three
    representative plaintiffs’ properties post-2014, the court will address two threshold issues
    raised in the parties’ Phase II post-trial briefs regarding the scope of the court’s holdings
    during and after the Phase I trial. First, the parties disagree as to whether the court
    previously determined that the Corps’ actions caused all of the flooding on the
    representative properties for the years where the court found causation in Phase I, as the
    6
    representative plaintiffs contend, Pls.’ Br. at 59-90, 130-33, ECF No. 678, or whether the
    Corps’ actions caused only additional flooding beyond what would have otherwise
    occurred, as the government argues, Def.’s Br. at 12-20, 132-33, ECF No. 679.
    The representative plaintiffs’ argument that the government caused all of the
    flooding on their properties for the years where the court found causation is incorrect. It
    is true that the court found that any flooding attributable to natural causes, as opposed to
    the Corps’ actions, did not break the “chain of causation” between the MRRP and the
    flooding on the representative plaintiffs’ properties. Pls.’ Br. at 133; Ideker I, 136 Fed.
    Cl. at 670. However, the court did not go on to hold that all of the flooding on the
    representative plaintiffs’ tracts was attributable solely to the MRRP. Rather, the court
    concluded in Phase I that the Corps’ MRRP actions in certain instances made the
    flooding more severe than it would have been had the MRRP not been in place.
    Specifically, the court held that the “Corps’ River Changes have, together with the
    Corps’ System Changes, caused WSEs to rise higher than they would have risen without
    these Changes and that this rise in WSEs has led to more flooding or more severe or
    longer flooding than would have occurred had these Changes not been made by the
    Corps.” Id. at 696-97. Relying on the testimony of the Phase I plaintiffs and their
    experts, for every year in which it found causation, the court concluded that the Corps’
    actions under the MRRP caused “more severe flooding than would have occurred
    without” the Corps’ actions. Ideker I, 136 Fed. Cl. at 729-30 (Adkins) (emphasis added);
    id. at 747-49 (Ideker); id. at 757-58 (Buffalo Hollow). The only exception to this finding
    was where the evidence established that certain levees would not have failed but for the
    7
    higher WSEs attributable to the MRRP. See, e.g., id. at 748 (for the Ideker property in
    2010, “[t]he court finds, based on Mr. Tofani’s testimony, that flooding was due to levee
    overtopping that would not have occurred without the System and River Changes”).
    Apart from these exceptions, the court did not hold that the MRRP was the but-for cause
    of all flooding on the representative plaintiffs’ properties, but only that it caused
    additional or more severe flooding than would have occurred without the MRRP.
    The representative plaintiffs’ reliance on their experts’ testimony from Phase I to
    argue that the court found that the Corps was responsible for all flooding is not supported.
    The representative plaintiffs first contend that Dr. Christensen and Dr. Hromadka opined
    in Phase I that the MRRP was the cause of all of the flooding on the Phase I plaintiffs’
    properties. Pls.’ Br. at 60-62. The court did not interpret the evidence in that way or
    make such a finding. Rather, the court relied on Dr. Christensen, Dr. Hromadka, and Mr.
    Tofani to hold that, generally, the MRRP caused more severe flooding in certain years.
    Ideker I, 136 Fed. Cl. at 729-30 (Adkins); id. at 747-49 (Ideker); id. at 757-58 (Buffalo
    Hollow).
    The representative plaintiffs also appear to suggest that the WSEs presented by Dr.
    Christensen in Phase I underestimate the extent of the flooding at the Adkins, Ideker, and
    Buffalo Hollow properties, meaning that the MRRP could have caused all of the flooding
    on the three representative plaintiffs’ properties. See Pls.’ Br. at 62-64. While Dr.
    Christensen opined that the WSEs on plaintiffs’ individual properties could have been
    greater than he estimated in his model, Dr. Christensen’s statement alone is not enough to
    prove that the MRRP was responsible for all of the flooding on plaintiffs’ representative
    8
    tracts for the years in question. The court therefore agrees with the government that,
    when examining the Arkansas Game & Fish factors as well as just compensation, the
    court is tasked with determining whether the additional flooding caused by the MRRP is
    sufficient to meet the standards for the taking of a flowage easement and, if so, the value
    of the property interest it has taken.
    However, the court disagrees with the government’s argument that “[b]ecause
    Plaintiffs failed to present any evidence of the amount of incremental flooding, Plaintiffs
    failed [to] prove either liability or just compensation for their claims.” Def.’s Br. at 133.
    As explained below, the court finds that the representative plaintiffs have demonstrated
    liability under the Arkansas Game & Fish factors here, building on the court’s Phase I
    opinion that the MRRP caused more severe flooding on their properties. In fact, the
    government’s own crop loss expert’s opinions demonstrate that the representative
    plaintiffs’ properties experienced considerable crop losses based on the incremental
    effects of MRRP flooding. See infra Part II. With respect to just compensation, the court
    finds that the representative plaintiffs’ method of calculating the diminution in the fair
    market value of their respective properties supplies a reasonable approximation of what
    was taken as a result of the Corps’ actions under the MRRP. See infra Part IV.
    Second, the parties disagree as to the court’s prior opinion regarding the relevant
    time period over which to analyze the Arkansas Game & Fish factors. The government
    presented evidence describing the flooding on the representative plaintiffs’ tracts that
    occurred before the Mainstem System and BSNP (the program that made the river
    straighter and faster, see infra n.5) were in place to argue that the character of the
    9
    representative plaintiffs’ land has not meaningfully changed with the introduction of the
    MRRP. See Def.’s Br. at 134 (“In this case, Plaintiffs’ properties are located next to the
    Missouri River and have been subject to flooding (and, at times, major flooding) at
    unpredictable intervals throughout recorded history.”). The representative plaintiffs
    argue that the proper time periods to compare are “the time period without the MRRP but
    with the System and BSNP (not the beginning of time)” and “the time period with the
    MRRP and the System and BSNP (the current period).” Pls.’ Resp. at 13, ECF No. 681.
    The court agrees with the representative plaintiffs that in determining whether the
    government can be liable for any increased flooding, the relevant time period begins after
    the Mainstem System and BSNP were in place. This court has already determined in its
    prior ruling denying the government’s motion to amend its answer that “the flood
    protection provided by the Mainstem System and the BSNP is the baseline of flood
    protection against which the additional flooding caused by the MRRP should be judged
    for purposes of deciding both causation and government liability for any taking in this
    case.” Ideker Farms, Inc. v. United States, 
    146 Fed. Cl. 413
    , 416 (2020) (“Ideker III”).
    It is against this backdrop of its prior rulings that the court now turns to the claims
    of the representative plaintiffs.
    B.     Phase I Findings of Fact on Causation and Foreseeability for the Three
    Representative Tracts
    Before turning to the court’s Phase II findings on post-2014 causation for the
    representative plaintiffs, the court will first review its Phase I findings for each
    representative property.
    10
    1.     The Adkins Property
    The representative Adkins property is located along the Missouri River at River
    mile markers 608-611 in Council Bluffs, Iowa. Tr. 46:23-47:2. The Adkins plaintiffs
    own the property in fee simple. Ideker I, 136 Fed. Cl. at 729. The property is protected
    on three sides by federal levees. Id.; see also Tr. 47:3-7 (“The Phase II tract is
    surrounded on three sides, the west, south and east side, by Federal Levee L-627, and the
    tie-back levee on Indian Creek.”).
    The court determined in Phase I that the MRRP caused foreseeable and more
    severe flooding on the Adkins representative tract in 2007, 2008, and 2010, but rejected
    flooding claims for 2011, 2013, and 2014. Ideker I, 136 Fed. Cl. at 730-31.
    The court found that, in 2007, flooding occurred in April and May during the
    planting seasons. The Adkins claimed that 400 of their 1,044 acres flooded. About 50 to
    60 percent of the property inside the levees was flooded for about three weeks. The court
    found that flooding in 2008 was similar to 2007 in severity, duration, and damage. The
    2008 flooding occurred in June and crops were lost. The court found that, in 2010,
    flooding was similar to 2007 and 2008 but the water was higher and stayed longer.
    Flooding again occurred in late June and crops were lost. Id. at 729-31.
    Based on Dr. Hromadka’s testimony, the WSEs prepared and testified to by Dr.
    Christensen, and the testimony of Mr. Tofani regarding water levels on the levees, the
    court concluded in Phase I that the 2007, 2008, and 2010 flooding “was the result of
    higher WSEs,” and that “the higher WSEs were caused by and were a foreseeable result
    11
    of the Corps’ System and River Changes which resulted in more severe flooding than
    would have occurred without these Changes.” Id. at 729-30.
    2.      The Ideker Property
    The Ideker representative property is located in Holt County, Missouri, at River
    mile markers 510-12. Tr. 218:1-8; Ideker I, 136 Fed. Cl. at 747. The property is owned
    in fee simple. Ideker I, 136 Fed. Cl. at 747. The Corps’ MRRP activities in the area
    surrounding the Ideker property include (1) dike construction and notching near the
    property; (2) dike alteration at River mile 512; and (3) the Corps’ operations at the
    Thurnau Wildlife Refuge directly south of the property. Id. The Corning Levee District
    levee separates the Thurnau Wildlife Refuge and the Ideker property. Id. The property is
    also protected by a private levee built by the plaintiff. Id.
    The court determined in Phase I that the Corps had caused foreseeable and more
    severe flooding on the Ideker property for 2007, 2008, 2010, 2013, and 2014. Id. at 748-
    49. The court rejected the Ideker flooding claims for 2011. Id. at 749.
    The court found that in 2007, the entire Ideker farm flooded for 30 to 60 days
    beginning in May. Floodwaters entered the farm from the south and east, coming from
    the Thurnau Wildlife Refuge. The private levees held, but at that time there was no levee
    on the east side of the farm. The floodwaters entering the farm from the Thurnau
    Wildlife Refuge were estimated to be two to ten feet deep. Equipment was destroyed and
    some land reclamation was necessary. The 55 acres riverward of the mainline levee were
    flooded. The river cabin outside the levee flooded for the first time and required
    extensive renovation. Id. at 747.
    12
    The court found that in 2008, flooding began in mid-June and lasted 30 to 45 days.
    The Ideker levees held. Like in 2007, water entered from the Thurnau Wildlife Refuge.
    A portion of the farm sustained flood damage due to seepage and blockage of the
    drainage ditches. The drainage ditches on the property filled and flowed over onto some
    crops, sustaining water from one inch to one foot deep. Some crops died but were re-
    planted. Grain bins and irrigation equipment sustained damage. The 55 acres riverward
    of the Ideker mainline levee flooded. The cabin on the property adjacent to the River was
    flooded and required renovation. Id. at 747-48.
    The court found that the flooding in 2010 was worse than in 2007 and 2008. Once
    again, the high waters entered from the Thurnau Wildlife Refuge. Sandbagging occurred
    to block the Thurnau waters from entering the farm. The efforts were successful until the
    mainline levee breached on the northwest corner of the farm, leaving a 90-foot scour hole
    destroying farmland. The entire farm was flooded for approximately 90 days with
    floodwaters on the north side of the property reaching three feet deep and 11 to 13 feet
    deep on the south end of the farm. The farm, home, structures, and equipment sustained
    extensive damage. Up to five feet of sand was left on the 60- to 70-acre area in the
    northwest of the farm. Grading equipment was used to remove sand and relocate and
    rebuild the mainline levee on the west and south areas, widening it two to three feet and
    raising it two feet. Additionally, levees were built on the east side of the farm to negate
    floodwaters emptying into the farm from the east in the future. Id. at 748.
    The court found that in 2013, flooding on the property began in May and lasted 30
    to 45 days. Fifty-five acres on the riverward side of the mainline levee again flooded.
    13
    There were no levee breaches. The water was estimated at seven to eight feet on the
    mainline levee on the west side and two to three feet over the riverbank. Id. at 749.
    The court found that, in 2014, the 55 acres on the riverward side again flooded
    much like 2013. Flooding began in June with the peak water in late June but drainage
    was impacted periodically from June to October. Water reached the base of the mainline
    levee on the west side and was estimated at one to two feet over the riverbank.
    Floodwaters were not as deep as in 2013. Farming the acreage riverward of the levee
    was determined to be no longer sustainable in light of the flood-prone River. Id.
    Based on Dr. Hromadka’s testimony, Dr. Christensen’s WSE chart, and Mr.
    Tofani’s testimony, the court found for 2007, 2008, 2013, and 2014 that the flooding
    “was the result of higher WSEs,” and that “the higher WSEs were caused by and were a
    foreseeable result of the Corps’ System and River Changes which resulted in more severe
    flooding than would have occurred without these Changes.” Id. at 747-49. For 2010, the
    court found based on Mr. Tofani’s testimony that “flooding was due to levee overtopping
    that would not have occurred without the System and River Changes.” Id. at 748. Based
    on Dr. Hromadka’s testimony and Dr. Christensen’s WSE chart, the court held that for
    2010 “the higher WSEs were caused by and were a foreseeable result of the Corps’
    System and River Changes which resulted in more severe flooding than would have
    occurred without these Changes.” Id.
    3.     The Buffalo Hollow Farms Property
    The Buffalo Hollow property is located in Doniphan County, Kansas, adjacent to
    River mile markers 475-78. Tr. 142:12-15; Ideker I, 136 Fed. Cl. at 757. The property is
    14
    owned in fee simple and is protected by a private levee. Ideker I, 136 Fed. Cl. at 757.
    Corps construction activities near the property include the Wolf Creek Bend channel
    widening at River mile 481 in 2006 and dike notching at River miles 492, 490, and 487.
    Id. The court determined in Phase I that the Corps had caused foreseeable and more
    severe flooding on the subject property for 2007, 2008, 2010, 2013, and 2014. Id. at 758.
    The court rejected the Buffalo Hollow flooding claims for 2011. Id.
    The court found that, in 2007, the flooding occurred in May, covering
    approximately 25 percent of the property inside the levee and all but two or three acres
    outside the levee. The River was three to four feet high against the levee and the water
    depths inside the levee ranged from “spongy” soil to two feet. Crops were lost, there
    were reduced crop yields, and pumping expenses were incurred. Id. at 757.
    The court found that, in 2008, flooding occurred from May 30 to June 21. The
    flooding covered approximately 50 percent of the property inside the levee and all but
    two to three acres outside the levee. The River was four to five feet high against the
    levee and the water depths inside the levee ranged from saturated soil to one to two feet
    deep. Crops were lost, yields were reduced, and plaintiffs incurred pumping expenses
    and clean-up costs. Id.
    The court found that, in 2010, flooding occurred from June 11 to August 20.
    Flooding covered about 75 percent of the property inside the levee and the entire property
    that was outside the levee. The River was four to five feet against the levee and the water
    depths inside the levee ranged from saturated soils to three feet deep. Crops were lost,
    yields were reduced, pumping expenses and debris clean-up costs were incurred. Id.
    15
    The court found that in 2013, flooding occurred from late May to early June.
    Almost all of the acres outside the levee were flooded with overbank flooding, and
    seepage and/or blocked drainage occurred inside the levee. Crops were lost. The River
    was about one to two feet high against the levee. The court found that flooding in 2014
    was similar to 2013. Id. at 758.
    For all of these years, the court found, based on Dr. Hromadka’s testimony, Dr.
    Christensen’s WSE chart, and Mr. Tofani’s testimony, that the flooding “was the result of
    higher WSEs,” and that “the higher WSEs were caused by and were a foreseeable result
    of the Corps’ System and River Changes which resulted in more severe flooding than
    would have occurred without these Changes.” Id. at 757-58.
    C.     Post-2014 Causation for the Phase II Representative Tracts
    The court now turns to the post-2014 flooding on the three representative
    properties. Based on the evidence discussed below, the court finds (1) that the Corps’
    continued operation of the MRRP without change has caused more severe flooding in the
    years 2016, 2017, and 2018 on the Adkins representative tract; 2015, 2016, 2017, and
    2018 on the Ideker representative tract; and 2015, 2016, 2017, and 2018 on the Buffalo
    Hollow representative tract than would have occurred without the MRRP and (2) that
    because of the MRRP there is a new and increased flooding pattern on these
    representative tracts and this new pattern of flooding is continuing into the future.
    16
    1.     The Representative Plaintiffs’ Accounts of Increased Flooding
    and a Changed Flooding Pattern
    The court begins with its review of the representative plaintiffs’ eyewitness
    accounts of the increased magnitude and duration of flooding post-2014 and the changed
    flooding patterns at their properties following implementation of the MRRP.
    a.    The Adkins property
    Before the MRRP but after the Mainstem System and BSNP were in place, Mr.
    Adkins testified that his property experienced some degree of flooding from seepage
    and/or blocked drainage in 1967, 1984, 1993, and 1995. Tr. 57:8-16. However, Mr.
    Adkins testified that “the flooding in the 1980s and 1990s” was “much different” from
    the “MRRP flooding post-2004.” Tr. 58:11-15. According to Mr. Adkins, the “MRRP
    flooding is different in how often it happens, its frequency, its severity, and just how long
    it lasts . . . .” Id.
    Regarding flooding on the property after 2014, Mr. Adkins testified that in 2016 a
    high Missouri River in June and July caused blocked drainage and seepage on the
    representative tract, and water backed up into the ditches causing wet fields and blocked
    drainage. Crops were lost and yields were adversely impacted. Tr. 59:2-6. Mr. Adkins
    further testified that flooding on the tract in 2017 was very similar to 2016. Tr. 59:7.
    Mr. Adkins then testified that in 2018, crops were planted and looked good up
    until the middle of June when, because of a high River, there was blocked drainage and
    seepage, and all the crops outside the levee and within a half-mile inside the levee were
    17
    lost. He observed that the floodwaters remained on the property from June 2018 through
    “Thanksgiving or so.” Tr. 59:8-60:5.
    Mr. Adkins testified that the new pattern of flooding caused by the MRRP
    beginning in 2007 has continued. Tr. 60:12-16; Tr. 86:25-87:4 (“The MRRP has
    cause[d] the river to change. It has changed from the standpoint that its flooding patterns
    have changed resulting in an increase in the frequency, severity and duration of the
    flooding.”). He explained that the changes to the River from the MRRP are evidenced by
    a change in the observed WSEs that now block the drainage ditches so that water cannot
    runoff the property. Tr. 80:2-21. He also testified that before the MRRP the levee flood
    gates and pressure relief wells on the property required little to no maintenance because
    they were seldom used or needed. Tr. 80:22-81:1; Tr. 81:18-22. He stated that this is no
    longer the case and that the flooding post-MRRP is very different from what it had been
    before. Tr. 81:18-24; Tr. 82:5-6.
    Based on his “personal observations of the river on a daily basis,” Mr. Adkins
    testified “with confidence that we have a changed river since 2004.” Tr. 85:21-24. Mr.
    Adkins stated that it is his “belief that the MRRP has altered the river’s flooding patterns
    which will not go back to the way they were before unless the MRRP is terminated and
    time passes.” Tr. 88:1-5. Because of this, Mr. Adkins “believe[s] the Phase II tract will
    continue to be subjected under the MRRP flooding pattern of the river to inevitably
    recurring and intermittent flooding on par with the flooding of the river from 2004
    through 2014.” Tr. 88:12-18.
    18
    b.       The Ideker property
    Mr. Ideker testified that before the MRRP, his property flooded in 1952, 1962, and
    1967 – prior to the Mainstem System becoming fully operational – and then in 1984 and
    1993. Tr. 224:12-16; Tr. 261:8-13. However, Mr. Ideker stated that this flooding was
    “nothing whatsoever like the flooding we have experienced since 2007,” after the
    implementation of the MRRP. Tr. 224:17-20.
    Mr. Ideker also testified about flooding after 2014. Mr. Ideker stated that in 2015,
    overbank flooding was again experienced over the 55 acres on the west side of the farm
    outside the levee, with blocked drainage inside the levee which adversely impacted farm
    efforts. There were no crops planted on the 55 acres at the time. The new river home on
    the acreage, now setting at a rebuilt higher elevation, was not damaged. Water again
    reached the base of the levee and was estimated at one foot over bank. Six hundred to
    700 acres of the interior farm was impacted by blocked drainage and seepage, and 50 to
    60 percent of the farmable acreage flooded. Tr. 245:10-25.
    Mr. Ideker stated that the flooding in 2016 was worse than in 2015. Overbank
    flooding was experienced over the 55 acres on the west side of the farm outside the levee
    in May through June. Due to blocked interior drainage and seepage, 200 acres of
    cropland inside the levee were not planted. No crops were planted on the 55 acres
    outside the levee next to the River. The interior farm was again impacted by blocked
    drainage and seepage. Over 800 acres of farmable acreage flooded, or about 60 percent
    of the farm. Tr. 246:1-16.
    19
    Mr. Ideker observed that in 2017 the flooding was similar to 2016. Overbank
    flooding occurred on the 55 acres without reaching the interior of the new river home.
    No crops were planted on the 55 acres. Blocked drainage and seepage again resulted,
    adversely impacting farm efforts. Again, over 800 acres of the farmable acreage flooded,
    or about 60 percent of the farm. Tr. 246:17-247:1.7
    Regarding flooding in 2018, Mr. Ideker testified that there was a high River for
    most of the year which periodically caused overbank flooding on 55 acres and created
    severe problems inside the levee with blocked drainage and seepage. Planting was
    hampered and the harvest was delayed until late 2018. The Ideker drainage tubes were
    blocked over 300 days during 2018. Flooding interfered with efforts to farm the entire
    year. Tr. 247:13-25.
    Mr. Ideker stated that the changed pattern of flooding caused by the MRRP from
    2007 to 2014 has continued and that this pattern is different than before 2007. Tr.
    259:13-17; Tr. 263:17-264:1. Mr. Ideker testified that the “river since 2007 is
    unpredictable,” and that the “severity, duration and frequency of the flooding is worse.”
    Tr. 263:8-16; see also Tr. 267:16-18 (“This was not the situation prior to 2007, nothing
    remotely close.”).
    7
    After experiencing repeated ongoing flooding in 2017, the ninth time in 11 years, the Idekers
    made the decision to terminate their efforts to farm the land themselves and leased the interior
    farm effective March 1, 2018, for $260 per acre. The 55 acres outside the levee, which includes
    the new river home, were not part of the lease. The property was under lease at the time of trial.
    Tr. 227:4-10; Tr. 247:2-12.
    20
    c.     The Buffalo Hollow Farms property
    Mr. Schneider8 testified that the Buffalo Hollow Phase II tract significantly
    flooded in 1952 and 1967, prior to the Mainstem System becoming fully operational, and
    then in 1973, 1984, and 1993. The 1973 and 1984 flood events took place before the
    private levee on the tract was fully completed. Mr. Schneider testified that any other
    flooding on the property from 1967 to 2007 was not significant and that even the 1973,
    1984, and 1993 floods were nothing like what they have experienced since 2007. Tr.
    146:22-147:4; Tr. 167:3-15. According to Mr. Schneider, “before the MRRP, the river
    would raise slowly and drop quickly. Flooding was infrequent. Now, under the MRRP,
    the flooding rises fast and it drops slowly. As a result, the inundation is more severe.”
    Tr. 167:23-168:3.
    Regarding flooding post-2014, Mr. Schneider described how, in 2015, the flooding
    occurred on two separate occasions in June lasting up to 10 days. There was overbank
    flooding outside the levee, with one to two feet of water up against the levee. Seepage
    and blocked drainage occurred inside the levee. Crops were impaired or lost. On
    December 16, water was over bank up against their levee and the Schneiders used a skid
    loader to clean up the debris. Mr. Schneider stated that this event was very much like
    those that occurred in 2013 and 2014. Tr. 159:20-160:7.
    In 2016, Mr. Schneider stated that flooding took place May 10 through 31. As
    before, seepage and blocked drainage resulted. There was standing water inside the
    8
    Mr. Schneider is the authorized representative of Buffalo Hollow Farms, Inc. Tr. 141:19-24.
    21
    levee. Crops had to be replanted and planting was delayed. Mr. Schneider described the
    May flooding as “particularly significant,” but noted that there were other instances of
    blocked drainage that took place in 2016. Tr. 160:8-16.
    In 2017, Mr. Schneider stated that the River ran high, blocking drainage and
    causing seepage problems during most of the summer. This was longer-lasting than the
    previous two years, and extensive pumping efforts in May were undertaken and
    continued. There was overbank flooding outside the levee. Mr. Schneider testified that
    50 percent of the crops outside the levee were lost. Mr. Schneider likened the flooding in
    2017 to that of “past years’ flooding,” which he ascribed to “a routinely high river.” Tr.
    160:17-161:2.
    Regarding flooding in 2018, Mr. Schneider testified that the River ran above
    normal most of the year, blocking drainage for over 100 days in the summer, fall, and
    into December. Harvest efforts were significantly impaired. Overbank flooding outside
    of the levee occurred. Blocked drainage and seepage occurred again inside the levee
    constantly for six months. Mr. Schneider testified that 70 percent of the crops outside the
    levee were lost. Tr. 161:3-16.
    Mr. Schneider testified that, based on his observation of the River on a daily basis,
    the implementation of the MRRP has changed the flooding on his property, and that the
    changed pattern of flooding is ongoing. Tr. 165:16-20; Tr. 166:15-20 (“[T]he river runs
    higher than it did prior to 2004.”).
    22
    2.     The Court Accepts Plaintiffs’ Accounts of Post-2014 Flooding
    The court finds the representative plaintiffs’ descriptions of flooding on their
    properties as described above to be reliable, and that the flooding as described by the
    plaintiffs occurred as stated. The court also finds that the representative plaintiffs’
    testimony regarding the change in flooding patterns on their properties post-2014 is
    credible and reliable.
    The government introduced crop insurance records to undermine the
    representative plaintiffs’ recollections of flooding on their properties and plaintiffs’
    testimony regarding the changed nature of the flooding. However, the court finds the
    crop insurance evidence does not undermine the representative plaintiffs’ testimony.
    To begin, crop insurance claims may be made for a number of reasons if
    productivity is not achieved at the level of coverage provided. For example, claims can
    be made for losses due to “excessive moisture,” in addition to claims for “flooding.” Tr.
    2660:22-25 (Mr. Zanoni, a government witness who is a senior underwriter for the
    federal crop insurance program, describing codes for losses). The government, not the
    farmer, makes the decision on how to code a loss, and such codes do not describe the
    source of the water that harms the crops. Tr. 2726:1-13; Tr. 2728:6-2730:21. The
    government attempts to undermine the representative plaintiffs’ testimony by pointing
    out that they made insurance claims for “excessive moisture” in years in which they did
    not testify about any flooding. Def.’s Br. at 38-40. By counting claims for excessive
    moisture as evidence of flooding events, the government also contends that the
    representative plaintiffs either made a similar amount of crop insurance claims before and
    23
    after the MRRP, id. at 74 (arguing the Adkins farm made seven claims for excess
    moisture prior to 2004 and eight claims for excess moisture between 2004 and 2018), or
    failed to make claims for years in which they described flooding, id. at 76 (noting that
    Mr. Ideker did not make a claim in 2013 through 2014).
    The court finds, however, that crop insurance claims cannot be used to account for
    flooding on the representative plaintiffs’ properties and thus do not undermine plaintiffs’
    recollection. First, many of the insurance claims the government relies on are coded as
    “excessive moisture,” see id. at 38-40 (describing claims), which usually references
    severe rainfall onto the land and not flooding caused by a higher River. Tr. 168:9-14
    (Schneider) (“A claim for excessive moisture, for example, can be due to rainfall and not
    a rising river leading to flooding.”); Tr. 262:1-6 (Ideker) (“A crop insurance claim for
    excessive moisture does not necessarily mean there was flooding from the river; it can be
    due to rainfall.”); Tr. 2728:6-2730:21 (Zanoni) (testifying that the crop insurance records
    “would not tell you” the source of the water that harmed the crops and that the “crop
    insurance records alone cannot be used to confirm or not confirm a flood event in any
    given year”). Because the crop insurance claims do not necessarily correlate to whether
    River flooding occurred on the representative plaintiffs’ properties, the government’s
    reliance on crop insurance records to undermine the credibility of plaintiffs’ testimony is
    unpersuasive.
    The government has not put forth any other evidence to undermine the
    representative plaintiffs’ recollection. To the contrary, the government witnesses at the
    Phase II trial each stated that they had no reason to doubt plaintiffs’ descriptions of
    24
    flooding on their properties. Tr. 1999:14-2000:3 (Jones); Tr. 1307:9-19, 1329:13-18
    (Kelman); Tr. 1397:22-24 (Remus); Tr. 2268:23-2269:8 (Earles). In addition, the Corps’
    historic flooding records generally support the representative plaintiffs’ description of
    flooding on their properties prior to the MRRP. According to those records, historic
    flooding occurred in 1952, 1973, 1978, 1984, and 1993. See Tr. 1531:7-1533:14
    (testimony of Eric Shumate, Chief of the Hydrologic Engineering Branch in the Kansas
    City District, Army Corps of Engineers). The Corps’ Omaha District Office post-flood
    reports also included 1984 and 1993. Tr. 1453:7-22 (testimony of Daniel Pridal, Chief of
    the River and Reservoir Engineering section of the Omaha District Corps of Engineers).
    For all of these reasons, the court finds that the representative plaintiffs’
    descriptions of the flooding on their properties and how the flooding has changed from
    the period preceding the MRRP to after the MRRP was implemented are credible and
    reliable. Taking this testimony together with the expert testimony described below, the
    court finds that the MRRP has caused a pattern of increased flooding on the three
    representative properties that will continue into the future.
    3.     The Plaintiffs’ Expert Dr. Mays Confirms a Finding of a
    Changed and Increased Flooding Pattern on the Representative
    Tracts post-MRRP
    In support of the representative plaintiffs’ claim that the MRRP has caused a
    changed flooding pattern resulting in more flooding than plaintiffs had experienced
    before the MRRP was implemented, the plaintiffs presented the expert testimony of Dr.
    25
    Larry Mays.9 Dr. Mays is both a professional hydrologist and professional engineer. Dr.
    Mays’ testimony corroborated the representative plaintiffs’ accounts of the additional
    flooding they are experiencing beyond what would have been expected to happen on their
    properties without the MRRP.
    Dr. Mays was tasked with investigating whether flooding on the three
    representative plaintiffs’ properties from 2015 through 2018 is consistent with the
    changed flooding pattern demonstrated from 2007 through 2014 and is attributable to the
    MRRP, and whether there is a heightened risk of flooding at the representative properties
    due to the MRRP. Tr. 820:11-18. Before conducting an analysis of the post-2014
    flooding, Dr. Mays examined the flooding that occurred from 2007 through 2014, and the
    court’s findings regarding MRRP causation from the Phase I opinion. Tr. 820:20-821:1.
    Dr. Mays opined based on the court’s findings that “[o]ne would logically expect that,
    unless and until the river changes [caused by the MRRP] are deconstructed and the”
    environmental priorities under the MRRP shifted, “any altered flooding pattern caused by
    the MRRP changes would continue.” Tr. 836:12-17. In other words, because the MRRP
    9
    Dr. Mays is a registered professional hydrologist, a registered professional engineer in
    California, Arizona, and Texas, and is recognized as a leading authority on hydrology. Tr.
    813:1-5; PX3443 (Mays CV). Dr. Mays’ extensive academic and professional experience spans
    43 years, and he is currently a Professor Emeritus at Arizona State University, School of
    Sustainable Engineering and the Built Environment. Tr. 813:6-15. He is the author, co-author,
    or editor-in-chief of 24 books. Tr. 814:15-25. Dr. Mays has also consulted with many different
    government agencies and industries regarding flood control systems, which include the U.S.
    Army Corps of Engineers Waterways Experiment Station, the State of Texas Attorney General’s
    Office, and the American Water Works Association. Tr. 815:7-21. In recognition of his
    contributions to the field of hydrology, he has received numerous high honors and distinctions in
    the profession. Tr. 818:16-819:22.
    26
    changes are still in place, the flooding pattern recognized by the court in Phase I should
    continue to persist. See Tr. 897:17-898:11 (“There has been no effort to deconstruct
    physical channel changes or reinstitute a flood control first priority for require operations,
    so a hydrologist would expect that new flooding pattern to persist.”). In this connection,
    the court notes that the government admits that the MRRP is ongoing and has remained a
    viable and active program at all times since 2014. Tr. 33:12-15 (admissions that the
    MRRP “has continued and remained a viable and active program at all times since
    2014”); see also Tr. 1400:11-13, 1402:16-17 (Remus); Tr. 1494:14-1495:14 (Pridal); Tr.
    1538:9-11 (Shumate).
    To determine whether the more severe flooding recognized by the court in the
    Phase I opinion for the representative properties persists, Dr. Mays conducted three
    quantitative studies and one qualitative study. Tr. 849:17-23; Tr. 891:16-892:1. First,
    Dr. Mays analyzed the recorded annual peak discharges and corresponding gage heights
    available at United States Geological Survey (“USGS”) gaging stations near each of the
    representative properties. Tr. 850:12-22. This analysis allowed Dr. Mays to “illustrate
    the patterns of flooding for each of the bellwether properties before and after the MRRP,
    and demonstrate[] that the increased flooding of the properties is a continuance of the
    newer post-MRRP flooding pattern.” Id.; see PX3413, PX3415, PX3419 (tables ranking
    peak discharges and noting approximate return periods). Dr. Mays explained that the
    available data would not allow him to measure the duration or depth of increased
    flooding attributable to the MRRP. Tr. 851:3-11; Tr. 979:17-23. However, he explained
    27
    that the data provides “highly useful information regarding flooding patterns.” Tr.
    851:10-11.
    Specifically, Dr. Mays’ examined the peak discharges at the USGS gages near the
    representative plaintiffs’ properties from 1980 through 2018. See Tr. 851:16-25. Peak
    discharges “are the largest discharge that occurred in each of those respective years.” Tr.
    852:6-8. Dr. Mays then sorted these peak discharges by magnitude. Tr. 851:24-25. Dr.
    Mays noted whether each representative property experienced flooding in that year and
    determined that, starting in 2007, every representative property started flooding during
    years with peak flows at lower levels, where the properties had not historically flooded.
    See Tr. 853:7-21. A review of this data led Dr. Mays to conclude that the pattern of
    flooding in 2015 to 2018 is consistent with the post-MRRP flooding pattern after 2007.
    Tr. 864:18-865:10 (summarizing conclusion for all properties).
    Second, Dr. Mays conducted a frequency analysis to determine “ranges of return
    periods for . . . USGS peak discharges” at the USGS gages closest to the three
    representative properties. Tr. 867:5-19. Return periods represent “how frequently a
    given flow is expected to occur or return at a particular location.” Tr. 866:19-22. For
    example, Dr. Mays took the smallest peak discharges that resulted in flooding at the
    Ideker property. Using USGS peak discharge data from 1970 to 2018,10 Tr. 868:19-21,
    10
    Dr. Mays examined the flows post-1970 to reflect the completion of the Mainstem System and
    BSNP. Dr. Mays also considered other year ranges to determine any potential impact in wet or
    dry cycles and concluded that his results for return periods were not unduly influenced by wet or
    dry cycles. Tr. 3019:18-3020:10.
    28
    Dr. Mays then calculated a return period of 1.5 years for discharges with this smallest
    peak discharge range for the Ideker property. Tr. 870:16-22. In other words, discharges
    within this range can be expected to occur every 1.5 years on the Ideker property. Tr.
    870:23-871:1. Conducting this analysis for all properties, based on the dataset of peak
    flows from 1970 to 2018, Dr. Mays determined that the return period for flooding tied to
    the Corps’ MRRP actions at the Ideker, Buffalo Hollow, and Adkins representative tracts
    were 1.5, 2.0, and 1.5 years, respectively. Tr. 871:11-12 (Ideker); Tr. 873:6-11 (Buffalo
    Hollow); Tr. 874:20-25 (Adkins).
    After a review of the peak discharge data, Dr. Mays concluded that “while the
    bellwether properties used to flood relatively infrequently,” the “frequency of flooding
    has dramatically changed.” Tr. 876:6-15. Now, “the MRRP-related flooding pattern that
    started in 2007 causes flooding to occur significantly more frequently on the bellwether
    properties compared to the pre-MRRP time period.” Tr. 877:2-7. In support of his
    opinion, Dr. Mays noted that a 2003 Corps Flow Frequency Study,11 see DX1097,
    DX1202 (appendices to the Flow Frequency Study), “obtain[ed] largely the same
    results,” and that the 2003 Study “does not materially change” his conclusions. Tr.
    877:16-22.
    Third, Dr. Mays conducted a hydrologic risk analysis building off of his frequency
    analysis. Dr. Mays’ hydrologic risk analysis was conducted to determine the likelihood
    11
    This study updated the flow and stage frequency for the Missouri River from Gavins Point
    Dam to the mouth at St. Louis. The study was a continuation of previous Corps efforts to update
    flood risk within the basin. Tr. 1448:2-7 (Pridal).
    29
    that, given a particular return period, a flood will occur in any given year using a
    mathematical equation. Tr. 884:20-885:7; Tr. 886:2-20. Based on the frequency
    analysis, Dr. Mays reiterated that probabilities of flooding reflect that, in the post-MRRP
    flooding pattern, the “[b]ellwether properties cannot expect to go for even two years
    without flooding, a marked departure from pre-MRRP flooding pattern.” Tr. 891:6-11.
    Applying those return periods, Dr. Mays opined that for the Adkins and Ideker properties,
    there was a 90 percent chance those properties would flood every two years, and a 75
    percent chance the Buffalo Hollow property would flood every two years. Tr. 889:11-14
    (Ideker); Tr. 890:6-9 (Buffalo Hollow); Tr. 890:20-23 (Adkins).
    Finally, Dr. Mays conducted a qualitative risk analysis using a “generic risk
    matrix.” Tr. 892:12-13. Dr. Mays opined that the representative properties were
    experiencing “tolerable” risk pre-MRRP but “intolerable” risk post-MRRP because of the
    frequent and more extensive flooding on the properties. Tr. 895:5-8.
    The court finds that Dr. Mays’ analyses described above all confirm the
    representative plaintiffs’ account of increased flooding post-2014 attributable to the
    MRRP and establish that there has been a changed pattern of increased flooding
    following the Corps’ implementation of the MRRP, as compared to the period of time
    before the implementation of the MRRP but after the completion of the Mainstem System
    and BSNP. Based on the plaintiffs’ and Dr. Mays’ opinion testimony, the court finds that
    the government, in implementing the MRRP, has increased the frequency of flooding on
    plaintiffs’ representative tracts as compared to the pre-MRRP period.
    30
    4.     The Government’s Evidence Does Not Undermine, and at
    Times Supports, Plaintiffs’ and Dr. Mays’ Testimony
    For the reasons that follow, the court finds that the government’s evidence
    challenging Dr. Mays’ conclusions does not undermine the court’s finding that the
    MRRP has permanently increased the frequency of flooding from what plaintiffs would
    have experienced without the MRRP and that this increased flooding reflects a new and
    ongoing pattern of flooding attributable to the MRRP at the representative properties.
    First, the court rejects the government’s argument that to establish causation for
    post-2014 and continued flooding, Dr. Mays was bound to rely on the same analysis the
    plaintiffs used in Phase I, specifically, Dr. Christensen’s data and opinions regarding
    changed WSEs. See Def.’s Br. at 65 (“Thus, to properly evaluate any ‘consistency’ with
    the incremental flooding caused by the Corps’ actions from 2007 through 2014, Dr. Mays
    would have to have evaluated for 2015-2018 the same factors that experts evaluated in
    Phase I . . . .”); id. at 139 (arguing that plaintiffs “have not adduced competent evidence
    that could show that the United States caused flooding experienced in those years under
    the standard the Court laid out in Phase I”). Based on Dr. Christensen’s modeling
    analysis, the court in Phase I had already determined that the MRRP resulted in increased
    and more severe flooding from 2007 to 2014 for these representative plaintiffs. The
    representative plaintiffs were not required to repeat this analysis in Phase II to prove that
    the MRRP caused increased and more severe flooding post-2014. Dr. Mays’ testimony
    persuasively builds off Dr. Christensen’s analysis and the court’s related findings in
    Phase I. Dr. Mays explained that his opinion builds off of the court’s findings in Phase I
    31
    by examining whether there is a continued, changed flooding pattern based on those
    findings. Tr. 819:25-823:18. As described above, he did this by demonstrating that
    flooding was occurring on plaintiffs’ representative properties at lower peak discharges
    than previously associated with flooding on those properties pre-MRRP. Tr. 820:20-
    821:8. Having incorporated the court’s findings from Phase I into his analysis, the court
    disagrees with the government that Dr. Mays’ analysis did not properly evaluate the
    consistency of flooding from 2014 through 2018.
    Second, the testimony of the government’s experts Dr. Robert Holmes, Mr.
    Jonathan Jones, and Dr. Andrew Earles do not persuasively show that the MRRP has not
    caused a new and ongoing pattern of increased flooding. See Def.’s Br. at 49-63 (Holmes
    and Jones), 68-72 (Earles). The government first presented testimony from Dr. Holmes,12
    who modeled daily WSEs at the representative tracts between 1950 and 2018. Tr.
    1592:13-1593:2. Dr. Holmes used an interpolation method similar to that used by Dr.
    Christensen in Phase I. Tr. 1592:13-1593:2 (“In assigning this task, [the] Department of
    Justice asked me to use the interpolation model, similar to the approach used by Dr.
    Christensen in Phase I . . . so I built an interpolation model similar to Dr. Christensen’s
    but not exactly like Dr. Christensen’s to provide a consistent methodology for estimates
    12
    Dr. Holmes has spent his entire 33-year career with USGS, concentrating his efforts on the
    study of river hydrodynamics. Tr. 1583:3-7. Dr. Holmes currently serves as the Chief of the
    Branch of Hydrodynamics for the USGS. Tr. 1584:4-6. He previously served as the agency’s
    National Flood Hazard Coordinator. Tr. 1584:16-17. Dr. Holmes earned a B.S. and M.S. from
    the University of Missouri-Rolla (now the Missouri University of Science and Technology,
    where he is on faculty) and a Ph.D. from the University of Illinois. Tr. 1586:14-22, 1587:25-
    1588:6; Tr. 1588:22-1589:4.
    32
    for that entire time period.”); Tr. 1594:2-6 (“Although I was asked by DOJ to use an
    interpolation method similar to Christensen in Phase I, I did not use the exact manner or
    relationship that Dr. Christensen did. But, rather, I built my model from the ground
    up.”); Tr. 1688:6-1690:11 (comparing Dr. Holmes’ interpolation model with Dr.
    Christensen’s interpolation model).13
    Dr. Holmes modeled WSEs at the representative properties using historic daily
    WSEs at USGS gages, historic daily discharges at those gages, and water surface profiles
    from the Corps’ 2003 Flow Frequency Study. Tr. 1594:7-24. A water surface profile is a
    measure of how WSEs change along a reach of river. Tr. 1595:2-4.
    To measure WSEs at a point at the representative properties, Dr. Holmes
    interpolated between gages upstream and downstream of the properties using a “proration
    scheme.” Tr. 1631:7-13; see also Tr. 1647:22-1654:9 (describing methodology behind
    “proration scheme”). This proration interpolation model was built using water surface
    profile data from the Corps’ 2003 Flow Frequency Study. Tr. 1648:1-9. That 2003
    Study in turn used bathymetric and terrain data from 1994 to 1999. See Tr. 1721:24-
    1722:10; PX3702 (excerpt of Phase I government witness expert rebuttal report stating
    13
    The results of Dr. Holmes’ analysis produced similar results to Dr. Christensen’s analysis in
    Phase I. Tr. 1689:2-6. Dr. Holmes confirmed that the approach taken by Dr. Christensen to
    model the WSEs at the representative tracts in Phase I was sound. Tr. 1700:4-8 (“The
    interpolation model has its warts, it has periods of underprediction and overprediction, but, you
    know, I can’t guarantee that I would do a lot better with the HEC-RAS model.”); Tr. 1700:12-17
    (“I find that the interpolation model used in this analysis provides overall reasonable estimates of
    daily water surface elevations at the representative Plaintiff properties from 1950 to 2018.”). Dr.
    Christensen, however, did not have later Corps studies and thus explained that his modeling of
    WSEs at the representative properties was an underestimate. See Tr. 2252:23-2253:13
    (discussing Phase I Tr. 4769:4-10).
    33
    that the Corps’ profiles are “based on bathymetric and terrain data from 1994 to 1999 and
    calibrated to historical data from 2003 and earlier”). Using the 2003 Study, Dr. Holmes
    “back calculated what would be the proration value that would allow [him] to match” the
    Corps’ data. Tr. 1648:18-24. Dr. Holmes also used historic water surface profile data
    from the Corps’ records regarding historic floods to “back compute[] what the proration
    value of [the] model would have to be” to simulate the flood elevation at the plaintiffs’
    properties for these historic floods. Tr. 1650:19-1652:7. Dr. Holmes then used this
    proration model and the WSEs at the upstream and downstream bounding gages to
    compute the WSEs on the plaintiffs’ properties on a given day. Tr. 1664:6-1666:9.
    Dr. Holmes also conducted assessments of how his model performed at other
    stream gages on the River near the plaintiffs’ representative properties to compare the
    model estimates against the real world observed data at those gages. Tr. 1674:21-1681:2;
    see DX6065, DX6066, DX6067 (plotting differences between modeled and actual data).
    At the Brownville gage closest to the Ideker property, for example, Dr. Holmes opined
    that the average difference between his model and the actual data at the Brownville gage
    was 0.9 feet, meaning that, on average, the model is underestimating the elevation by 0.9
    feet. Tr. 1680:17-1681:9. Although acknowledging that the model was not perfect,
    based on his assessments of the model, Dr. Holmes opined that the model “provides
    overall reasonable estimates of daily water surface elevations at the representative
    Plaintiff properties from 1950 to 2018.” Tr. 1700:12-17.
    34
    Using Dr. Holmes’ WSEs and other data, Mr. Jones14 was then tasked with
    determining whether the “high-water events that occurred at the representative properties
    from 2004 to 2018 were of comparable frequency, magnitude and duration to events
    experienced historically.” Tr. 1838:17-21. To analyze frequency, Mr. Jones compared
    Dr. Holmes’ modeled WSEs against key threshold elevations on the representative tracts,
    such as the top of the bank and the drain outlets on the properties. Tr. 1843:22-1845:4.
    With this comparison, Mr. Jones determined the number of days that the modeled WSEs
    exceeded the key threshold elevations from 1950 to 2018 on the representative tracts. Tr.
    1849:23-1850:5, 1853:11-17 (Adkins); Tr. 1863:20-1864:12 (Ideker); Tr. 1866:24-
    1867:16 (Buffalo Hollow). Mr. Jones concluded that “before 2004, clusters of high-
    water events occurred during 15-year periods at every representative property . . . that
    were similar to the number of events experienced during the 2004 to 2018 period.” Tr.
    1872:11-17.
    To analyze duration and magnitude, Mr. Jones used the same data to “rank all
    years between 1967 and 2018, in terms of the duration of time that each threshold
    elevation was exceeded in each year.” Tr. 1909:17-1910:19. Mr. Jones also calculated
    “the percentage of days that each threshold elevation was exceeded for 1983 to [19]97,
    14
    Mr. Jones is the CEO of Wright Water Engineers. DX4840-A (Jones CV). Mr. Jones holds
    B.S. and M.E. degrees from the University of Virginia. Id. He is a registered professional
    engineer in nineteen states. Id. He is also a registered professional hydrologist with the
    American Institute of Hydrology and a diplomate of water resources engineering with the
    American Academy of Water Resources Engineers. Id.
    35
    2004 to [20]18, and then 1967 to 2018.”15 Id. Mr. Jones concluded that the “1983 to
    [19]97 period saw high-water events of comparable magnitude and durations to the high-
    water events that occurred from 2014 to [20]18 at each representative property.” Tr.
    1927:12-17. In other words, according to Mr. Jones, “[n]o overarching trend has been
    identified at any of the representative properties for critical elevations that show one
    period to have consistently higher duration events than the other.” Tr. 1927:18-22.
    Based on Dr. Holmes’ and Mr. Jones’ analyses, the government argues that “high
    water events of similar frequency, duration, and magnitude” to the post-MRRP flooding
    “occurred at the representative properties between 1967 and 2004.” Def.’s Br. at 49. For
    the following reasons, the court disagrees.
    To begin, the court notes that neither Dr. Holmes nor Mr. Jones evaluated or tied
    their analyses to any actual flooding at the plaintiffs’ representative properties. Dr.
    Holmes stated that his modeling was not for the purpose of predicting or determining
    when flooding occurred on the representative properties. Tr. 1766:22-1768:5. Mr. Jones
    also did not do any analysis to determine instances of actual flooding at the representative
    properties and testified that he was not offering any opinions on whether actual flooding
    occurred at any of the representative properties. Tr. 2007:20-2008:9; Tr. 2010:22-25; Tr.
    2061:15-16; Tr. 3013:23-25 (Dr. Mays’ rebuttal testimony noting that Mr. Jones’ analysis
    15
    Mr. Jones also compared “annual stage hydrographs for the relevant post-2004 years” against
    “historical stage hydrographs qualitatively,” Tr. 1910:14-19, and found general “comparability,”
    Tr. 1927:5-10, of WSE trends on plaintiffs’ properties during select high water years pre- and
    post-MRRP.
    36
    “completely ignores the bellwether Plaintiffs’ testimony about when they are actually
    flooding”).
    In addition, Dr. Holmes’ modeled WSEs – relied on by Mr. Jones – were based on
    pre-MRRP data, even though more recent data was available. As noted above, to create
    his modeled WSEs, Dr. Holmes relied on water surface profiles sourced from the Corps’
    2003 Flow Frequency Study, which Dr. Holmes stated are “the primary way that a model
    reflects channel geometry and morphology at localized spots within a river reach.” Tr.
    1705:25-1706:9. That 2003 Study used data from 1994 to 1999 to create water surface
    profiles. Tr. 1720:19-1722:23; see also 1714:2-1715:11 (use of data for Adkins);
    1715:12-23 (use of data for Ideker); 1715:24-1716:13 (use of data for Buffalo Hollow).
    Because the Corps’ actions on the MRRP began after 2004, the data from the 2003 Flow
    Frequency Study does not reflect any changes resulting from the implementation of the
    MRRP and does not paint an accurate picture of how the River has changed since then or
    how the MRRP has affected flooding at the representative properties.16
    Moreover, Dr. Holmes’ model relied on the 2003 Study data despite the fact that
    the Corps had prepared updated post-2004 water surface profiles that could have yielded
    16
    The court notes that in Phase I, Dr. Christensen relied on the Corps’ 2003 Flow Frequency
    Study to support his analysis of WSEs. Dr. Christensen, however, testified that he was
    underestimating flooding at individual properties precisely because he did not have more recent
    data on the River changes post-MRRP. See Tr. 1719:24-1721:11; see also Tr. 2552:23-2253:13
    (discussing Phase I Tr. 4769:4-10). In Phase I, the court found that Dr. Christensen provided
    reliable estimates for purposes of the causation analysis, but explained that this model was
    conservative. Ideker I, 136 Fed. Cl. at 696 (noting that Dr. Christensen’s “interpolation of water
    surface levels was probably conservative because it would not reflect higher WSEs at a particular
    property”). In other words, Dr. Christensen’s interpolation model provided reliable minimum
    estimates of the effect of the MRRP.
    37
    a more accurate analysis. See PX3718 (comparing 2003 Study with later studies);
    PX3716 (Corps’ updated May 2015 HEC-RAS Report, Appendix D). In Phase I, the
    government’s expert Mr. Mark Woodbury opined in his rebuttal report that use of this
    more recent data would have produced more accurate results. See PX3702 (excerpts
    from Phase I Woodbury rebuttal report, noting “updated models” that “were built using
    bathymetry data from after the 2011 flood to best represent current state of the channel
    bed”); Tr. 1722:2-23. But Dr. Holmes testified that he was not given access to any of the
    updated hydraulic modeling that incorporates the modifications to the River channel
    made pursuant to the MRRP. Tr. 1722:2-23.
    Dr. Mays persuasively explained that, by relying on the 2003 Study data in his
    proration scheme, Dr. Holmes’ model predictably underestimated the WSEs in the post-
    MRRP world because it did not incorporate post-MRRP changes to the geometry and
    roughness of the river. Tr. 2992:12-2993:12. To show the model’s tendency to
    underpredict, Dr. Mays separated out and analyzed how Dr. Holmes’ model performed
    only during days where the representative properties experienced MRRP flooding. Tr.
    2994:14-3000:15. Dr. Mays found that, of 50 data points at the Brownville gage, nearby
    Ideker, 49 showed under-predictions with an average under-prediction of almost two feet.
    Tr. 2997:9-11; see also PX3496 (plotting differences between modeled and observed
    WSEs for the range of MRRP flooding).
    At the Oregon gage, which is across the River from Buffalo Hollow, Dr. Mays
    compared Dr. Holmes’ modeled WSEs at Buffalo Hollow with actual recorded WSEs at
    the Oregon gage for the three years where data was available (2009, 2010, and part of
    38
    2011). Dr. Mays opined that Dr. Holmes’ model “is consistently off by over three feet
    during high flow conditions.” Tr. 3001:18-3002:3. Dr. Mays further testified that the
    mile distance between the Oregon gage and the Buffalo Hollow property would not
    explain this discrepancy. Tr. 3004:17-3005:2. These differences measured in feet
    between Dr. Holmes’ model and the actual recorded data are troubling, where plaintiffs
    in Phase I testified that inches of water can be the difference between flooding and no
    flooding, for example, by blocking drainage pipes into the River. See PX3710 at 2873
    (Mar. 2017 Phase I Tr.); PX3711 at 4164 (Apr. 2017 Phase I Tr.). Dr. Holmes did not
    disagree with this testimony. Tr. 1765:14-1766:11.
    In addition, Dr. Holmes acknowledged that the gages he examined are not capable
    of picking up specific WSE changes associated with MRRP projects nearest to the
    plaintiffs’ representative tracts. Tr. 1629:3-10 (“[W]hile the streamgages – or a
    streamgage may not sense the exact effect from a MRRP project miles downstream near a
    bellwether property, it does sense those MRRP projects nearest to the gage.”). For
    reference, the Adkins tract is five miles downstream from the nearest gage, the Ideker
    tract is 10 miles downstream from the nearest gage, and the Buffalo Hollow tract is 20
    miles downstream from the nearest gage. Tr. 846:3-8 (Mays, on Adkins); Tr. 841:10-16
    (Mays, on Ideker); Tr. 843:24-844:1 (Mays, on Buffalo Hollow). And each tract is near
    multiple BSNP structures, MRRP sites, and dike notches that can impact flooding. See
    Tr. 847:2-11 (Mays, on Adkins); Tr. 842:16-20 (Mays, on Ideker); Tr. 845:9-23 (Mays,
    on Buffalo Hollow). While Dr. Holmes believed that the model’s failure to pick up
    increases at the representative properties would be made up for by the gages picking up
    39
    different WSE increases from MRRP projects closer to the upstream and downstream
    gages, he did no study of how much WSE increases result from different MRRP projects
    or types of projects, nor did he study where MRRP projects are relative to the gages. Tr.
    1751:10-1752:5. Dr. Mays persuasively testified in Phase II, and the court accepted Dr.
    Christensen’s testimony in Phase I, that, for this reason, an interpolation model like Dr.
    Holmes’ would likely underpredict WSEs at the representative tracts. Tr. 2983:1-10;
    Ideker I, 136 Fed. Cl. at 696 (citing Dr. Christensen’s explanation that “his interpolation
    of water surface levels was probably conservative” because none of the MRRP projects
    are located at a specific gage location).
    Because Mr. Jones relied on Dr. Holmes’ analysis, which likely underpredicted
    WSEs at the representative properties, the court further finds that Mr. Jones’ opinions are
    unpersuasive. For these reasons, the court finds that Mr. Jones’ and Dr. Holmes’
    analyses do not call into question the court’s findings based on the plaintiffs’ testimony
    and Dr. Mays’ opinion testimony.
    The court also finds the opinions of Dr. Andrew Earles,17 the government expert
    who challenged Dr. Mays’ opinions, to be unpersuasive. Dr. Earles was tasked with
    providing a rebuttal to Dr. Mays’ expert opinions. Tr. 2171:4-6. Dr. Earles did not
    perform his own frequency study. Tr. 2270:2-5.
    17
    Dr. Earles is the vice-president of water resources for Wright Water Engineers. Tr. 2172:21-
    24. Dr. Earles holds a Bachelor’s degree in civil engineering from Stanford University and
    Master’s and Ph.D. degrees in civil and environmental engineering from the University of
    Virginia. Tr. 2172:11-15.
    40
    Dr. Earles focused much of his criticism of Dr. Mays’ opinion regarding flow
    frequency on the ground that Dr. Mays had failed to follow all aspects of a USGS
    publication known as Bulletin 17C to develop his flood flow frequency curves and
    calculate his recurrence intervals. See Tr. 2199:1-4 (testifying that Dr. Mays “did not
    conduct any of the necessary procedures” for his analysis). Bulletin 17C “provides the
    standard guidelines for conducting flow frequency analysis in the United States.” Tr.
    2196:17-19. Dr. Earles opined that Dr. Mays’ analysis “incorrectly applied Bulletin 17C
    methods to regulated data without making any adjustments,” and that, as a result, Dr.
    Mays’ calculations were unreliable. Tr. 2207:6-9.
    On cross-examination, Dr. Earles admitted, however, that Bulletin 17C expressly
    states there is no national guidance on how to develop flood frequency curves for
    regulated rivers. Tr. 2324:24-2325:4; see also PX3749 at 35-36 (USGS Bulletin 17C).
    There is no dispute that the Missouri River is a regulated river. Tr. 2322:12-2324:21. Dr.
    Mays opined that Bulletin 17C need not be used to calculate reliable recurrence intervals
    and merely provides guidelines. Tr. 3015:20-3016:13.
    Dr. Earles also challenged Dr. Mays’ analysis because he did not follow the steps
    for developing flow frequency relationships used in the Corps’ 2003 Study. Tr. 2218:12-
    2221:12. In its study, the Corps developed regulated and unregulated flow relationships
    to quantify the value of flood protection that the Mainstem System provides as well as to
    incorporate both regulated and unregulated historical data in its analysis. Tr. 2220:16-25.
    However, Dr. Mays opined that it was unnecessary to take these steps in this case, and
    that to do so would only add uncertainty to his analysis, which included exclusively
    41
    regulated river data. Tr. 3018:11-3019:12. Dr. Mays also noted that the Corps itself does
    not always rely on such regulated and unregulated flow relationships when it is analyzing
    exclusively regulated data. Tr. 3017:7-3018:7.
    Dr. Earles also criticized Dr. Mays’ recurrence intervals because they differed
    from the recurrence intervals outlined in the Corps’ 2003 Study. Tr. 2238:5-2242:2.
    However, the Corps’ 2003 Study used data from 1897 to 1997, while Dr. Mays used data
    from 1970 to 2018. Tr. 2291:25-2292:3. Dr. Earles stated that he had no knowledge of
    the effect of the use of the different datasets on the recurrence interval calculation. Tr.
    2295:18-24 (“I have not had an opportunity to do a comparison of a dataset properly
    analyzed from 1970 to 2019 with the flow frequency study.”); Tr. 2296:19-23 (Dr. Earles
    agreeing that he had “not done any analysis to see what the effect is on recurrence
    interval calculation if one includes water years subsequent to . . . 2011”).
    Dr. Earles further criticized Dr. Mays for using outdated and inappropriate
    “regional skew data” in his analysis, which produced a “less accurate fit of the data.” Tr.
    2213:12-20; Tr. 2218:5-10. But, again, Dr. Earles did not conduct his own flood
    frequency study and did not opine what the effect of using this outdated data would be.
    Dr. Mays persuasively concluded that, even if any of Dr. Earles’ proposed extra steps
    were added to his methodology, it is impossible that the effect would have been
    sufficiently material to alter his conclusions about a changed flooding pattern along the
    River due to the MRRP. Tr. 3020:16-3021:9 (Dr. Mays stating that “[n]one of Dr.
    Earles’ criticisms affect my confidence in my conclusions” and observing that Dr. Earles
    42
    did not “offer any analysis to quantify how my thresholds would have been affected had I
    incorporated into my analysis any of the changes he opined I should have made”).
    Dr. Earles also criticized Dr. Mays for not aligning his analysis with the
    representative plaintiffs’ testimony regarding flooding. However, the only example Dr.
    Earles offered was Mr. Adkins’ testimony regarding whether flooding occurred in 1995
    or 1996. Tr. 2253:25-2254:17; see also Tr. 2304:14-2312:19 (discussing Dr. Mays’
    testimony regarding flooding on the Adkins property and affirming that the Adkins
    testimony is the only example of “improper reliance” on plaintiffs’ testimony regarding
    historical flooding included). Dr. Mays addressed and corrected this issue in his opening
    testimony. See Tr. 2304:14-2312:19 (cross examination of Dr. Earles discussing Dr.
    Mays’ opening testimony).
    Finally, Dr. Earles criticized Dr. Mays’ “calculations about the changes in
    flooding patterns and future flooding” for using small sample sizes and for failing to
    account for “wet and dry cycles in the Missouri Basin.” Tr. 2258:5-10. However, Dr.
    Mays credibly testified that he performed separate analyses on multiple different time
    frames and was thus “able to test whether I was getting unreliable results that were
    unduly influenced by a wet or dry cycle or some other time-limited phenomenon.” Tr.
    3019:15-3020:14.
    The court therefore finds that Dr. Earles’ criticisms of Dr. Mays do not undermine
    Dr. Mays’ opinions. The court agrees that Dr. Mays was not bound to follow all of the
    steps in Bulletin 17C or those taken by the Corps in the 2003 Study and, while offering
    criticisms of Dr. Mays’ calculations, the court notes that Dr. Earles did not provide his
    43
    own flow frequency study and could not say whether his criticisms would have had a
    material effect on Dr. Mays’ conclusions. Dr. Mays also provided reasoned responses to
    Dr. Earles’ criticisms. The court finds Dr. Mays’ opinions more persuasive.
    Finally, the government’s own hydrology expert Dr. Jeffery Bradley, an expert
    identified for trial but never called,18 stated in his deposition testimony that flooding
    events have become more common and of longer duration in the post-MRRP timeframe,
    as the representative plaintiffs claim. See PX3740 at 78-83 (excerpt from June 19, 2020
    Bradley Depo.); Tr. 2078:8-2084:7 (reading excerpts of Bradley deposition testimony
    into the record). Although Dr. Bradley characterized the increased recurrence intervals as
    “minor,” Dr. Bradley’s testimony is nonetheless consistent with Dr. Mays’ opinions.
    PX3740 at 80. Dr. Bradley also opined that Dr. Holmes’ use of outdated water surface
    profiles was not best practice, consistent with Dr. Mays’ criticisms of Dr. Holmes and
    Mr. Jones. PX3738 at 30-34 (excerpt from June 19, 2020 Bradley Depo.); PX3739 at 36
    (excerpt from June 19, 2020 Bradley Depo.).
    Having found that the government’s evidence challenging the representative
    plaintiffs’ lay testimony and expert evidence of increased flooding post-2014 is not
    persuasive (and even, at times, supports plaintiffs’ claims), the court concludes that the
    plaintiffs have met their burden of demonstrating that the MRRP has caused increased
    18
    Although the government did not present Dr. Bradley as a trial witness, the court
    acknowledges that Dr. Bradley’s deposition testimony constitutes an admission against the
    government and is admissible as such. See Tr. 2491:7-2492:13.
    44
    flooding for the years at issue in both Phase I and Phase II and has caused a changed
    pattern of increased flooding on the plaintiffs’ representative properties.
    II.    Liability for a Permanent Flowage Easement Under the Remaining Arkansas
    Game & Fish Factors
    Against the backdrop of the above findings on causation, the court now turns to
    whether the flooding described above satisfies the criteria for establishing a taking of a
    flowage easement under Arkansas Game & Fish. In that case, the Supreme Court
    identified the following factors that the court must consider in determining whether
    government action that causes intermittent flooding amounts to the taking of a flowage
    easement: severity, duration, intent or foreseeability, character of the land, and
    reasonable investment-backed expectations. See Ark. Game & Fish, 
    568 U.S. at 38-39
    ;
    see also Ridge Line, 
    346 F.3d at 1355-56
     (considering intent or foreseeability and “the
    nature and magnitude of the government action”). Although these factors are related, the
    court will examine them separately to determine whether the representative plaintiffs
    have established each.19
    A.      Severity
    One factor that the court must consider in the liability determination under
    Arkansas Game & Fish is the “[s]everity of the interference.” 
    568 U.S. at 39
    . This factor
    requires the court to assess whether the intermittent flooding at issue was “substantial”
    enough to rise to the level of a taking. Ridge Line, 
    346 F.3d at 1355
    . In doing so, the
    19
    Although the government in closing argument suggested that plaintiffs need not establish each
    factor in order to show a taking occurred, Tr. 3452:18-3453:20, the court finds that the requisite
    showing for all six factors has been met and therefore does not reach that issue.
    45
    court must determine whether “after the [government action] began the flooding lasted
    for significantly longer periods of time and had much more serious consequences than the
    flooding” during the period before the government action. Ark. Game & Fish v. United
    States, 
    736 F.3d 1364
    , 1374 (Fed. Cir. 2013). In other words, the court must determine
    whether or not “the asserted intrusion was within a range that the property owner could
    have reasonably expected to experience in the natural course of things.” Id. at 1375.
    Although “it may often be difficult to say, in the abstract, whether a particular intrusion is
    severe or only incremental in nature” the “consideration of the effects of the intrusion on
    the property owner will often make that distinction easier to draw.” Id.
    While the government acknowledges that the court found that flooding on the
    three representative properties caused by the MRRP was “severe,” the government
    contends that “the severity of any additional incremental flooding” caused by the MRRP
    is “relatively small,” and thus does not meet the “severity” prong of the Arkansas Game
    & Fish test. Def.’s Br. at 148. The court disagrees. Based on the testimony of the
    representative plaintiffs and Dr. Mays, the court concluded above that the Corps’ ongoing
    implementation of the MRRP has caused a new pattern of increased flooding on the
    representative properties beginning in 2007. The court further finds that the Corps’
    actions have resulted in more severe flooding than plaintiffs experienced pre-MRRP.
    Following implementation of the MRRP, the return periods associated with flooding are
    now likely to occur every 2 years. Tr. 889:11-14 (Mays, on Ideker); Tr. 890:6-9 (Mays,
    on Buffalo Hollow); Tr. 890:20-23 (Mays, on Adkins); Tr. 891:6-9 (“The probabilities of
    flooding reflect that, in the new flooding pattern, the bellwether properties cannot expect
    46
    to go for even two years without flooding.”). Moreover, the plaintiffs’ testimony
    established that flooding on the plaintiffs’ representative tracts is far more frequent and
    damaging than they had experienced before implementation of the MRRP, see supra Part
    I.B & I.C, and is outside the “range that [the representative plaintiffs] could have
    reasonably expected to experience,” Ark. Game & Fish, 736 F.3d at 1375.
    In addition, as discussed in more detail below, the post-MRRP flooding has had
    considerable effects on the plaintiffs’ crop yields. See infra Part II.E. This is a “serious
    consequence[]” of the MRRP flooding, further evidencing that the flooding was “severe.”
    Ark. Game & Fish, 736 F.3d at 1374. The court therefore concludes that the plaintiffs
    have met their burden of establishing that the increased and repeated flooding attributable
    to the MRRP is sufficiently severe for each representative plaintiff to demonstrate the
    Arkansas Game & Fish severity factor.
    B.     Duration
    The time and duration of the government invasion is also an important
    consideration in takings cases based on intermittent flooding. See Ark. Game & Fish,
    
    568 U.S. at 38-39
    . This factor is often relevant in the context of a temporary taking, as
    was the case in Arkansas Game & Fish. In this case, however, both parties agree that if
    the court finds that a taking occurred, that taking is permanent. Def.’s Br. at 158; Pls.’
    Br. at 119-20. This court has previously held that where the government action that
    causes intermittent flooding will continue into “the foreseeable future,” the time and
    duration factor is not measured by the length of time that water inundates the plaintiffs’
    properties, but by the government’s “permanent right to inundate the property.” In re
    47
    Upstream Addicks and Barker (Texas) Flood-Control Reservoirs, 
    146 Fed. Cl. 219
    , 250
    (2019). In other words, the permanent nature of the intermittent flooding means that the
    duration factor “weighs in favor of plaintiffs.” 
    Id.
     Nevertheless, in this case, the court
    will consider both the duration of the more severe flooding attributable to the MRRP each
    year, as well as the permanent nature of the MRRP itself.
    As discussed above, the court heard undisputed testimony from the plaintiffs that
    the flooding attributable to the MRRP lasted of sufficient duration, each year, to impact
    their farming operations. See supra Part I.B & I.C. In addition, as discussed in more
    detail below, the increased flooding attributable to the MRRP caused the representative
    plaintiffs to lose crops that they would not have otherwise lost absent the incremental
    effects of the MRRP. See infra Part II.E. The court thus concludes that the flooding each
    year was of a duration substantial enough for the duration factor to weigh in plaintiffs’
    favor.
    Moreover, these significant invasions of increased flooding are not temporary or
    isolated events. The representative plaintiffs have shown that more severe flooding will
    often recur for the foreseeable future. The government concedes that the MRRP is
    ongoing. See, e.g., Tr. 34:7-16 (admitting that the government has not removed or closed
    any of the chutes constructed and/or opened in conjunction with the MRRP since 2014);
    Tr. 1400:11-13, 1402:16-17 (Remus, confirming that the MRRP “still exists”); see also
    Pls.’ Br. at 55-56. The plaintiffs can now anticipate that they will experience more
    frequent flooding periods from increased WSEs than they would have experienced
    without the MRRP. See infra Part I.C. The permanent nature of the increased flooding
    48
    also indicates that the duration factor weighs in favor of finding a taking. See In re
    Upstream Addicks and Barker, 146 Fed. Cl. at 250.
    C.     Intent and Foreseeability
    Arkansas Game & Fish also requires the court to evaluate “the degree to which the
    invasion is intended or is the foreseeable result of authorized government action.” 
    568 U.S. at 39
    . An action is foreseeable if “the government should have predicted or foreseen
    the resulting injury.” Moden v. United States, 
    404 F.3d 1335
    , 1343 (Fed. Cir. 2005). An
    injury “may not be foreseeable if an intervening cause breaks the chain of causation.” 
    Id. at 1344
    .
    In Phase I, the court determined that the increased flooding on plaintiffs’
    properties was the foreseeable result of the System and River Changes made under the
    MRRP. Ideker I, 136 Fed. Cl. at 761-62 (listing plaintiffs that have “established
    causation, foreseeability and severity”); id. at 705 (“The rising WSEs described by Dr.
    Hromadka and Dr. Christensen are the result of known processes that change the
    hydrology and hydraulics of a river. When the Corps took combined actions to make the
    River shallower and slower, rising WSEs were a natural, direct, and probable
    consequence of the Corps’ actions.”); see also id. at 729-30 (Adkins), 747-49 (Ideker),
    757-58 (Buffalo Hollow), 690 (finding that Dr. Christensen’s testimony was sufficient to
    show foreseeability), 696-97 (concluding that, in light of Dr. Christensen’s and Dr.
    Hromadka’s testimonies, the System and River Changes have “caused WSEs to rise
    higher than they would have risen without these Changes and that this rise in WSEs has
    led to more flooding or more severe or longer flooding than would have occurred had
    49
    these Changes not been made by the Corps”). Dr. Mays’ testimony regarding the
    predictable increase in flooding because of the MRRP confirms the court’s Phase I
    finding. Tr. 835:12-21 (testifying that it “makes perfect sense from a hydrological
    perspective” that higher WSEs are the “predictable result” of the MRRP); Tr. 833:1-7
    (testifying that “[t]he evidence has established that the river changes by the Corps . . .
    have had the effect of raising Missouri River’s water surface elevations in periods of high
    flows”); Tr. 833:8-834:4 (testifying that “[w]hether the Corps took combined actions to
    make the river shallower and slower, arising water surface elevations were a natural,
    direct, and probable sequence of the Corps’ actions”).
    While the government continues to dispute that the MRRP has caused any change
    in flooding, see, e.g., Def.’s Br. at 139 (“The flooding that occurred between 2007 and
    2014 did not significantly alter the character of the land” and “was consistent with the
    historical record”), the government did not present any specific evidence on
    foreseeability in Phase II to counter the court’s Phase I finding that the flooding changes
    on plaintiffs’ properties following implementation of the MRRP were a foreseeable
    consequence of the Corps’ actions under the MRRP. As noted above, the government
    also concedes that it is continuing to implement the MRRP and will do so into the future.
    The court therefore concludes that the plaintiffs have shown that continued increased
    flooding on the plaintiffs’ representative tracts is a foreseeable consequence of the Corps’
    implementation of the MRRP.
    50
    D.     Character of the Land
    The court must also determine in the takings analysis whether the increase in
    flooding “was great enough to change the character” of the land. Ark. Game & Fish, 736
    F.3d at 1371. “The character of the land in government flooding cases is usually defined
    by whether, inherently, the property is ‘especially susceptible to flooding.’” In re
    Upstream Addicks and Barker, 146 Fed. Cl. at 248 n.18.
    The government argues that the Corps’ actions under the MRRP did not
    significantly alter the “character” of the representative plaintiffs’ land. Def.’s Br. at 139
    (“The flooding that occurred between 2007 and 2014 did not significantly alter the
    character of the land” and “was consistent with the historical record”). A great deal of
    the evidence presented by the government in Phase II was centered on this factor. The
    government presented as its first witness Dr. Ari Kelman, an environmental historian.
    See Tr. 1246:18-1250:10. Dr. Kelman testified that properties next to the Missouri River
    have always been subject to extensive flooding. Tr. 1253:12-15. In support, Dr. Kelman
    presented evidence of flooding that occurred on the Missouri River beginning in July
    1867 through the end of the twentieth century. See generally Tr. 1254:7-1266:20. Dr.
    Kelman’s opinions were based solely on the review of documents concerning historical
    flood events identified in public records; he did not consult the plaintiffs regarding their
    experience of flooding on the representative tracts before and after the MRRP. Tr.
    1312:24-1313:7.
    The court finds that Dr. Kelman’s testimony is largely irrelevant. The court has
    previously determined that, in evaluating whether the government is liable for a taking in
    51
    this case, the relevant time frame is from the period after the Mainstem System and
    BSNP were completed, in the 1970s, and then the period following implementation of the
    MRRP in 2004. Ideker III, 146 Fed. Cl. at 416. Given these bounds, the court finds
    evidence regarding the character of the land that predates the Mainstem System and
    BSNP to be of little value.
    Moreover, the evidence presented by the representative plaintiffs in Phase II and
    described above establishes that the character of plaintiffs’ land has changed. There is no
    dispute that the representative plaintiffs’ land flooded prior to the MRRP; the plaintiffs’
    themselves so testified. However, the court has concluded that the changes implemented
    by the Corps under the MRRP caused more severe and frequent flooding than the
    representative plaintiffs have historically experienced. The court therefore concludes that
    the “character of the land” factor weighs in plaintiffs’ favor. See In re Upstream Addicks
    and Barker, 146 Fed. Cl. at 286 n.18 (“That plaintiffs’ properties may be susceptible to
    flooding during extreme weather events is of some relevance, but it is independent from
    the fact that plaintiffs’ properties . . . only flooded in this case because of the
    government’s construction of the” dams.).
    The government’s additional argument that the character of the land has not
    changed because the plaintiffs’ representative tracts were in a FEMA designated flood
    hazard zone before the MRRP is without merit. See Def.’s Br. at 136. There is no
    dispute that the plaintiffs’ properties are within a flood zone. The issue in this case is
    whether the changes made by the Corps to implement the MRRP for the purpose of
    protecting and promoting habitat for endangered species has increased the flooding on
    52
    plaintiffs’ property such that it is now experiencing more frequent and more severe
    flooding post-MRRP. In Arkansas Game & Fish, the land at issue was also in a flood
    zone, but the Supreme Court recognized that a taking can nonetheless occur. See 
    568 U.S. at 26-29
     (noting that, prior to the government action, the area at issue flooded
    approximately 65 days per year during the relevant period).
    In sum, the court finds that the increased frequency, severity, and duration of
    flooding post-MRRP demonstrates that the MRRP changed the character of the
    representative tracts of land. It cannot be the case that land that experiences a new and
    ongoing pattern of increased flooding does not undergo a change in character. The court
    therefore finds that the plaintiffs have met their burden of demonstrating that the Corps’
    actions under the MRRP are “great enough to change the character” of the representative
    properties. Ark. Game & Fish, 736 F.3d at 1371.
    E.     Reasonable Investment-Backed Expectations
    Finally, the court must consider a property owner’s “reasonable investment-
    backed expectations regarding the land’s use” in the takings inquiry. Ark. Game & Fish,
    
    568 U.S. at 39
    . An objective standard applies. Chancellor Manor v. United States, 
    331 F.3d 891
    , 904 (Fed. Cir. 2003). The “burden is on the owner to establish a reasonable
    investment-backed expectation in the property at the time [the owner] made the
    investment.” Cienega Gardens v. United States, 
    503 F.3d 1266
    , 1288 (Fed. Cir. 2007)
    (citing Forest Props., Inc. v. United States, 
    177 F.3d 1360
    , 1367 (Fed. Cir. 1999)). The
    court considers whether a plaintiff had expectations that were backed by investments,
    whether those expectations were reasonable, and whether the government action
    53
    interfered with those expectations. Cienega Gardens, 
    503 F.3d at 1288-89
    ; Palazzolo,
    
    533 U.S. at 618
    .
    The court notes that the concept of “reasonable investment-backed expectations”
    is traditionally considered in a regulatory, not physical, takings analysis. Love Terminal
    Partners, L.P. v. United States, 
    889 F.3d 1331
    , 1345 (Fed. Cir. 2018) (“The reasonable,
    investment-backed expectation analysis is designed to account for property owners’
    expectation that the regulatory regime in existence at the time of their acquisition will
    remain in place, and that new, more restrictive legislation or regulations will not be
    adopted.”). However, the Supreme Court in Arkansas Game & Fish recognized that
    “reasonable investment-backed expectations” is also an appropriate factor to consider in a
    flooding takings case. 
    568 U.S. at 39
    . The Supreme Court applied this factor to the
    flooding before it, explaining that the flooded area at issue in Arkansas Game & Fish had
    flooded previously, but that the flooding involved in the takings claim was of a different
    kind than the plaintiffs had previously encountered. 
    Id.
     Likewise, the question in this
    case is whether plaintiffs had a reasonable expectation that the flooding pattern on their
    properties after the Mainstem System and BSNP were in place would continue, whether
    that expectation was backed by investment in plaintiffs’ properties, and whether that
    expectation was interfered with by the Corps’ actions under the MRRP.
    The representative plaintiffs argue that based on the pre-MRRP flooding patterns
    of the River, the plaintiffs had reasonable expectations of being free from the increased
    flooding caused by the MRRP. Pls.’ Br. at 146-52. Plaintiffs contend that “no
    reasonable River Basin stakeholder, including the Plaintiffs, would have ever predicted
    54
    that the Corps, after decades of honoring a pre-emptive priority of flood control and after
    spending billions of dollars to tame the River in order to induce people and businesses to
    settle and invest in the Basin, would suddenly change cause and intentionally alter the
    existing flooding patterns of the River to benefit the ecosystem and fish and wildlife.” 
    Id. at 150
    . Plaintiffs further argue that “there is also evidence in the record establishing that
    each of the Phase II Plaintiffs invested in their property interests relying on their
    reasonable expectations of flooding based upon the pre-MRRP flooding patterns.” 
    Id. at 152
    .
    The government contends that the representative plaintiffs have not carried their
    burden of demonstrating reasonable investment-backed expectations because “it is not
    clear” from the plaintiffs’ testimony “what specific expectations” the plaintiffs had about
    the government’s actions or whether any investments were actually made based on those
    expectations. Def.’s Br. at 141. The government also argues that because the
    representative plaintiffs’ “land has always been subject to flooding, any investment-
    backed expectations were not interfered with” by the Corps’ actions. 
    Id.
     The
    government contends that the representative plaintiffs could not have reasonably
    expected that the Corps to continue its pre-2004 operations of the Mainstem System and
    BSNP without change when the Corps had changed its operations in the past. 
    Id. at 144
    .
    The government points out that the Corps under federal law has been authorized since the
    1980s to complete projects to mitigate BSNP habitat losses, and that these federal laws
    were publicly available and widely known within the Missouri River Basin. 
    Id. at 147
    .
    55
    For the reasons that follow, the court concludes that the plaintiffs have established
    that they had reasonable investment-backed expectations that the pre-MRRP flooding
    pattern would continue, and that the Corps’ actions under the MRRP interfered with those
    expectations.
    1.     The Government’s State Law Arguments are Waived and
    Fail for Lack of Proof
    As an initial matter, the court rejects the government’s argument, raised for the
    first time in the government’s Phase II post-trial brief, that the plaintiffs’ reasonable
    investment-backed expectations should be framed by the Corps’ rights as an upstream
    riparian landowner under state law. See Def.’s Br. at 138-39 (in the context of the
    character of the land factor), 143 (reasonable investment-backed expectations factor).
    The government briefly argues in its post-trial brief that under the state law of Kansas,
    Missouri, and Iowa, “those owning land along a river must anticipate that other
    landowners will make reasonable use of their properties and the benefits and burdens of
    riparian ownership will be shared with their neighbors.” Def.’s Br. at 139. The plaintiffs
    contend, and the court agrees, that to the extent the government’s argument is a defense
    to any takings liability for flooding plaintiffs’ properties, that defense has been waived.
    Pls.’ Resp. at 41-43; see also RCFC 12(h)(2); Kontrick v. Ryan, 
    540 U.S. 443
    , 459 (2004)
    (“A defense or objection that is not raised by motion or in the responsive pleading is
    waived unless it is protected by Rules 12(h)(2) or 12(h)(3) or by the successful invocation
    of the liberal amendment policy of Rule 15.” (quotation omitted)).
    56
    But even if not waived, the court finds that this argument fails for lack of proof.
    Whether the Corps’ actions in implementing the MRRP even qualify as rights of a
    riparian landowner under state law is unclear. Even if the government could make a
    claim based on its rights as a riparian landowner, the government presented no evidence
    and scant argument on this issue. For example, some of the footnoted cases cited by the
    government in support of this argument apply a “reasonable use” rule in determining
    whether an upstream landowner may take actions on that landowner’s own property even
    though those actions may result in flooding damages to a neighboring property. See
    Bettinger v. City of Springfield, 
    158 S.W.3d 814
    , 818 (Mo. Ct. App. 2005). The
    government did not present any evidence describing what riparian rights it was exercising
    and whether its actions met this “reasonableness” standard. The court has no basis for
    determining whether the government’s actions would qualify under state riparian laws or
    how these laws apply to the facts in this case.
    The court will now turn to the evidence presented regarding reasonable
    investment-backed expectations and the extent to which the government has interfered
    with those expectations.
    2.     The Plaintiffs Made Substantial Investments in Farming Their
    Representative Properties in Reliance on the Flood Protection
    Provided by the Mainstem System and BSNP
    a.     The Adkins property
    Mr. Adkins testified that he grew up and has spent his life at or near the Phase II
    tract. Tr. 48:14-17. Over time, the Adkins family invested in acquiring additional tracts
    of land for farming. Tr. 76:6-7. Robert and Betty Adkins, Sr. settled on the Phase II tract
    57
    in 1948. Tr. 76:4-5. Mr. Adkins, his brother, and his parents all built homes next to each
    other on the northern portion of the tract. Tr. 48:16-27. Mr. Adkins explained that after
    the Mainstem dams were built, the Adkins family proceeded to invest millions of dollars
    in the development and farming of the Phase II tract and the other land they own near the
    River. Tr. 78:11-79:14. He testified that but for the government’s assurances that the
    Mainstem System and the BSNP would provide enhanced flood protection, the Adkins
    family would not have made these investments. 
    Id.
     He testified that the Adkins family
    relied on the government’s representations about flood protection. 
    Id.
    b.     The Ideker property
    Although Mr. Ideker conceded that the Ideker representative tract when acquired
    was prone to flooding, he testified that the Ideker family acquired the property with the
    expectation that the flood protection the government promised to provide with the
    Mainstem System, the levees, and the BSNP would allow the property to be productive.
    Tr. 221:19-222:19. He testified that the Idekers relied upon many government
    publications and representations that flooding would be substantially reduced. 
    Id.
     Mr.
    Ideker further explained that the government encouraged citizens to invest in the
    farmland that the Corps’ actions made possible. Tr. 220:20-24; Tr. 223:17-24; see also
    PX1 (cross-section photo of Ideker property comparing September 1934 with March
    1977). In reliance, the Ideker family began investing heavily to develop the land for
    farming. Tr. 223:17-24.
    Mr. Ideker testified that his family built private levees to protect their investment
    from flooding. Tr. 225:10-226:14. He stated that the levees represent an investment of
    58
    millions of dollars. 
    Id.
     Additionally, he testified that Ideker Farms has invested
    hundreds of thousands of dollars in equipment, including irrigation equipment, in
    planting beans and corn, and harvesting crops. 
    Id.
     He explained that drainage ditches
    and two drainage conduits were constructed at significant cost. 
    Id.
     He also testified as to
    the wells dug to irrigate the farm. 
    Id.
     He testified that these investments in the farm were
    prompted by the belief that the land would be suitable and productive for farming, as well
    as for their recreational use and enjoyment without repetitive, atypical flooding they are
    now experiencing due to changes in River management by the Corps. 
    Id.
    Mr. Ideker testified that it costs the Idekers about $750 per acre to plant a crop of
    corn, and $550 per acre to plant a crop of beans. Tr. 226:15-24. The Idekers planted an
    average of 645 acres of corn and 733 acres of beans each year for an average total planted
    acreage of 1,378 acres. 
    Id.
     Their total investment for planting each year averaged
    $483,750 for corn and $403,150 for beans, for a total of $886,900. 
    Id.
     Mr. Ideker stated
    that this represents a substantial business investment. 
    Id.
    After the MRRP flooding began in 2007, Mr. Ideker testified as to the steps the
    farm has taken to prevent the flooding and protect their property. Tr. 227:11-228:10.
    These efforts included the rocking of the riverbank to abate erosion and preserve the
    levee and river cabin situated close to the river. Tr. 228:1-10. It also included the repair
    of the existing levees breached or damaged as a result of the flooding, as well as the
    building of new levees on the east side of the property, all at substantial expense. Tr.
    227:11-25.
    59
    c.     The Buffalo Hollow Farms property
    Mr. Schneider testified that his family originally acquired the Phase II tract in
    1962, believing that the new publicized flood protection to be provided by the
    government through new dams and reservoirs and the BSNP would allow the ground
    adjacent to the river to be productive and otherwise free from the frequent flooding that
    had been experienced up until that time. Tr. 145:8-20.
    Title to the representative property was transferred to the Schneider’s family-
    owned Buffalo Hollow Farms in July 2009. Tr. 171:20-172:4. Buffalo Hollow Farms
    absorbed Buffalo Hollow Ranch. 
    Id.
     No money was exchanged for the transfer of title.
    JX8 (Jan. 27, 2020 Schneider Depo. at 19:13-21, 20:18-21:14).20
    Mr. Schneider testified that his family has invested millions of dollars in the land
    since acquisition. Tr. 146:6-12. He explained that but for the many public assurances by
    the government regarding flood control and enhanced flood protection beginning during
    the last century, the Schneiders and Buffalo Hollow Farms would not have invested in the
    property as they have done. 
    Id.
     Based upon the Schneiders’ experience with the Phase II
    tract prior to 2007, they expected the farm to be productive each year and experience wet
    years approximately once per decade. Tr. 147:12-18.
    Mr. Schneider testified that it costs Buffalo Hollow Farms $670 per acre to plant a
    crop of corn on 579 acres, and $450 per acre to plant a crop of beans on 248 acres,
    20
    The government argued that there cannot be any reasonable investment-backed expectations
    regarding property that is “inherited.” Def.’s Br. at 40. The court disagrees. As discussed
    above, Mr. Schneider continues to farm the subject property and his undisputed testimony states
    that he and his family have invested millions in the farm.
    60
    exclusive of labor costs. Tr. 149:11-150:4. The Schneiders’ total investment for crops
    per year, exclusive of labor costs, is approximately $500,000. 
    Id.
     Mr. Schneider stated
    that this investment was made in reliance on the flood control Buffalo Hollow
    experienced prior to 2007. 
    Id.
     Mr. Schneider further explained that the substantial
    investment of millions of dollars the Schneiders have put in the land for farming since
    acquisition makes it economically difficult to simply quit trying to farm the ground. 
    Id.
    The Schneiders’ expectations for their Phase II tract remained the same until at least
    2011. Tr. 151:14-19. He testified that the flooding impacts of the MRRP and the
    deprioritization of flood control came as a surprise to them. 
    Id.
    Based on the testimony of the representative plaintiffs summarized above, the
    court finds that each of the plaintiffs has shown that they had an investment-backed
    expectation that they would continue to farm their properties under the pre-MRRP flood
    pattern. The representative plaintiffs own their farmland, invest yearly in crop production
    to make use of the land, have an interest in the land gaining value, spend money to
    prevent flooding, and remediate their land after flooding. The representative plaintiffs
    made these investments to make their farms productive with the expectation that the pre-
    MRRP flood patterns would continue.
    3.     Plaintiffs’ Expectation that the Representative
    Properties Would Not Be Subject to Increased Flooding is
    Reasonable
    The court further finds that the representative plaintiffs’ expectations are
    supported by evidence and this court’s prior opinions and are therefore reasonable. The
    plaintiffs in both Phase I and Phase II presented government publications that
    61
    demonstrate that the United States expected people to be protected from flooding along
    the River following the construction of the Mainstem System and BSNP. See Pls.’ Br. at
    35-38; see, e.g., Ideker I, 136 Fed. Cl. at 661 (noting that the federal government
    determined it was in the national interest for the Missouri River “to be controlled for
    purposes of human settlement and as a resource to support economic development”
    (citing PX16 at PLTF-00003157, PLTF-00003098)). For example, a U.S. Department of
    Interior Overview Report dated March 2005 states that after “closing of the dams, the
    vast lands were cleared for agricultural production . . . As time passed, the idea that these
    lands were flood-free caused developers to move in, thus supplementing the demands for
    bank stabilization projects.” PX18 at PLTF00005755; see also PX16 at PLTF-00003229
    (2002 National Resource Council publication stating “[h]owever, the land between
    federal levees and the river has been farmed, and expectations consequently arose to
    protect this land, as well as those lands behind the levees . . . .”). The Phase II
    representative plaintiffs testified that they relied on the government’s assurances about
    flood protection when investing in their properties. See Tr. 78:17-79:14 (Adkins); Tr.
    221:19-222:19 (Ideker); Tr. 146:6-12 (Buffalo Hollow).
    It was reasonable for the plaintiffs to expect the prioritization of flood protection
    to continue, and for the prioritization of habitat protection under the ESA to come as a
    surprise to the plaintiffs. As this court has previously held, “the changes made to the
    Corps’ River and Mainstem [S]ystem after the court order requiring the Corps’
    compliance with the ESA increased flooding to a degree that would not have been
    contemplated when the River and Mainstem System structures were planned.” Ideker II,
    62
    142 Fed. Cl. at 232 (emphasis added). Separately, the court has explained that the actions
    taken by the Corps to comply with the ESA represent a “significant change in the focus
    of the work the Corps was doing in managing the River—from flood control to River
    restoration work.” Ideker I, 136 Fed. Cl. at 668. It is true, as the government argues, that
    the Corps must comply with federal laws like the ESA and that the Corps was free to
    change its operations of the Mainstem System and BSNP, and has in fact done so in the
    past. Def.’s Br. at 46; see also, e.g., Tr. 1362:20-1363:16 (Remus) (citing PX6 ¶ 5-23)
    (noting that as early as 1960, the Corps explained in its master manual that its operation
    of the mainstem system could not “be expected to remain entirely fixed in the future”).
    But it was nonetheless reasonable for the representative plaintiffs to view the post-MRRP
    flooding as “unexpected” given the Corps’ significant priority change from flood
    protection to species protection after 2004. Cf. In re Upstream Addicks and Barker, 146
    Fed. Cl. at 261 (“[I]t is not the case that a takings claim must fail simply because a
    property owner acquired land while on notice that a taking . . . had the potential to
    occur.” (quotation and internal alterations omitted)).
    The government also argues that Dr. Kelman’s and Mr. Jones’ testimony, along
    with government documents introduced by other government witnesses, establish that the
    representative plaintiffs’ expectations regarding flooding on their properties was not
    reasonable because plaintiffs’ land has always been subject flooding risk. Def.’s Br. at
    43-49 (discussing Dr. Kelman’s testimony and documents), 59-62 (discussing Mr. Jones’
    review of other documents); see also id. at 144 (“Plaintiffs’ land was subject to flooding
    before and after [the] Mainstem System, and before and after 2004-2006 changes.”).
    63
    However, as stated above, the court gives Dr. Kelman’s testimony little weight. Dr.
    Kelman conducted no interviews with the representative plaintiffs regarding their
    expectations or what information they had available when forming their expectations,
    despite acknowledging that such information is relevant to his opinions. Tr. 1312:24-
    1313:7. On cross-examination, Dr. Kelman admitted that the representative plaintiffs’
    personal observations for the period of time they lived on the river and how that was
    managed are relevant and important considerations. Tr. 1310:21-1311:8.
    Mr. Jones also performed a literature review of historical documents on
    government communications regarding flood risk, but has no training as a historian or in
    any social sciences. Tr. 2092:14-2093:6. The government contends that this literature
    review supports the proposition that plaintiffs should have known that their land “has
    always been subject to flooding.” Def.’s Br. at 141; see also id. at 59-60 (discussing Mr.
    Jones’ literature review). As an initial matter, the court has already rejected the
    government’s argument that the nature of the flooding on representative plaintiffs’
    properties has not changed. See infra Part I.C. Notwithstanding that, the court concludes
    that Mr. Jones’ testimony does not show that the representative plaintiffs’ expectations
    were unreasonable. Mr. Jones acknowledged during cross examination that after the
    BSNP was constructed, farm development investment followed, and that reasonable
    investment-backed expectations can arise from enhanced flood control. Tr. 2100:1-
    2101:13. Mr. Jones also acknowledged that an “important part” of his conclusions about
    plaintiffs’ expectations was his belief that those expectations would have been formed
    based in part on flooding patterns that predated completion of the dams, which is not the
    64
    relevant time period. Tr. 2067:7-2071:1. For these reasons, plaintiffs’ expectations that
    there would not be increased flooding after the BSNP and Mainstem System was in place
    are reasonable.
    4.      The Corps’ MRRP Actions Interfered with the Representative
    Plaintiffs’ Reasonable Investment-Backed Expectations
    Finally, the court finds that the Corps’ MRRP actions have interfered with the
    representative plaintiffs’ reasonable investment-backed expectations to be able to farm
    and invest in their property. The government argues that the “productivity” and “value”
    of the representative plaintiffs’ land has not “changed considerably as a result of the
    MRRP changes.” Def.’s Br. at 146. However, this assertion is undermined by the
    government’s expert on crop losses. The court finds that the testimony of the
    government’s crop loss expert, Dr. Robert Evans, confirms that the MRRP has resulted in
    increased flooding which in turn has led to lower crop yields and therefore a drop in
    productivity and value.21
    Specifically, Dr. Evans calculated for years 2007, 2008, 2010, 2013, and 2014 the
    but-for or incremental impacts of the MRRP on the three representative plaintiffs’ corn
    and soybean crop yields. See Tr. 2524:13-2529:11; see also DX7007-223, DX7007-224,
    DX7007-225 (demonstrative summaries of opinions on yield impact for claim years).
    These lost yields were then valued by the government’s expert Dr. David Sunding22 at
    21
    Dr. Evans’ qualifications and opinions are discussed in more detail in Part IV, infra.
    22
    Dr. Sunding’s qualifications and opinions are discussed in more detail in Part IV, infra.
    65
    $1.3 million dollars. Tr. 2854:9-18; see also DX6033-0030 (table of crop loss
    calculations using Dr. Evans’ report). Dr. Sunding also testified that Dr. Evans’ analysis
    demonstrated a 12 percent average drop in crop yield across the three representative
    properties for the crops Dr. Evans considered. Tr. 2879:12-19. While the plaintiffs argue
    that Dr. Evans’ study undervalues the impact of the MRRP on crop yields, see Pls.’ Br. at
    81, Dr. Evans’ work nonetheless establishes that but for the MRRP the representative
    plaintiffs would have seen greater crop yields. The losses described by Dr. Evans and Dr.
    Sunding are significant, and with more frequent flooding, the losses are continuing.
    Accordingly, the court finds that the representative plaintiffs’ have met their burden of
    establishing that the MRRP interfered with their reasonable investment-backed
    expectations.
    In sum, for the reasons discussed above, the three representative plaintiffs have
    established all of the factors set forth by the Supreme Court in Arkansas Game & Fish for
    proving the taking of a flowage easement. Both parties agree that if the court finds a
    taking here, that taking is of a permanent flowage easement,23 given the ongoing nature
    of the MRRP. See Def.’s Br. at 158; Pls.’ Br. at 119-20. The court now turns to the issue
    of just compensation.
    23
    Arkansas Game & Fish involved a temporary taking by intermittent flooding. As discussed in
    Part III, infra, the court concludes (and the parties agree) that it is appropriate to apply the
    Arkansas Game & Fish factors for the taking of a permanent flowage easement by intermittent
    flooding as well. See Tr. 3390:8-14; Tr. 3424:13-3425:5 (closing arguments).
    66
    III.   Date of Taking
    Having determined that the United States is liable for a taking of a permanent
    flowage easement for the three representative plaintiffs under the Arkansas Game & Fish
    factors, the court now turns to the question of just compensation. As an initial matter, the
    parties disagree as to the appropriate date of taking, which implicates not only how just
    compensation is valued but whether plaintiffs’ claims are time-barred. The court
    therefore addresses this issue first.
    The representative plaintiffs argue that to determine the date of taking, the court
    must apply the stabilization doctrine in United States v. Dickinson, 
    331 U.S. 745
     (1947)
    and the doctrine approved by the Federal Circuit in Arkansas Game & Fish, which allows
    the court to group multiple years of flooding together so long as they are sufficiently
    related. According to the representative plaintiffs, the period of taking is one that begins
    in 2007 but stabilizes for accrual and valuation purposes on December 31, 2014. Pls.’ Br.
    at 157-64. The representative plaintiffs point out that the permanent nature of the
    flowage easement was not confirmed until 2020, when the government admitted that the
    MRRP was not going to be terminated. Pls.’ Br. at 162-63. However, the representative
    plaintiffs contend that the accrual and valuation date under the unique facts and
    circumstances of this case is December 31, 2014, when the effects of the MRRP were
    sufficiently stabilized as shown by the evidence. 
    Id.
    December 31, 2014 is also the date this court set as a “cut-off” date as to what
    flooding would be considered in addressing the representative plaintiffs’ claims for just
    compensation. See Ideker I, 136 Fed. Cl. at 670 (“The year 2014 was selected as the cut-
    67
    off year for purposes of proving flooding by the Corps’ System and River Changes;
    however, some plaintiffs have continued to experience flooding.”). The representative
    plaintiffs therefore chose December 31, 2014 as the date of taking “to be conservative
    with their demand and consistent with the court’s approach to trial.” Pls.’ Br. at 163.
    The government contends that for the representative plaintiffs, the appropriate date
    of taking is 2007, the first year that atypical flooding at the three representative properties
    occurred. Def.’s Br. at 151. Based on this date, the government argues that the
    representative plaintiffs’ claims are time-barred under the six year statute of limitations
    because they filed their complaint on March 5, 2014. Def.’s Br. at 152-53 (citing 
    28 U.S.C. § 2501
    ). Alternatively, the government argues that the representative plaintiffs
    have failed to meet their burden to provide any evidence of a credible date of taking.
    Def.’s Br. at 153-54.
    A.     The Stabilization Doctrine
    In general, where the United States permanently takes an interest in real property,
    the date of a taking is the date the United States enters into possession of the property.
    United States v. Dow, 
    357 U.S. 20
    , 22 (1958). This date is generally also “the date as of
    which the land is to be valued.” 
    Id.
     However, where flooding results from a “continuing
    process of physical events” set in motion by the United States, the date of taking is set
    when the property has experienced flooding and the situation has “stabilized.” Barnes v.
    United States, 
    538 F.2d 865
    , 873 (Ct. Cl. 1976) (discussing Dickinson, 
    331 U.S. at
    748-
    49).
    68
    The Supreme Court held in Dickinson v. United States that where the “source of
    the entire [takings] claim . . . is not a single event[, but] is continuous,” such as a series of
    floods, a claim does not arise “until the situation becomes stabilized.” 
    331 U.S. at
    748-
    49. This is because “when the Government chooses not to condemn land but to bring
    about a taking by a continuing process of physical events, the owner is not required to
    resort either to piecemeal or to premature litigation to ascertain the just compensation for
    what is really ‘taken.’” 
    Id. at 749
    . Under Dickinson, a claim becomes “stabilized” where
    the “consequences of inundation have so manifested themselves that a final account may
    be struck.” 
    Id.
    The Court of Claims applied Dickinson in Barnes, 538 F.2d at 873, where the
    United States’ actions at the Gavins Point and Fort Randall Dams caused farmland
    flooding from 1969 to 1975. The Barnes court set the date of taking not at the
    approximate date of the first flood, but at November 30, 1973, reasoning that by then,
    “the permanent character of intermittent flooding could fairly be perceived.” 538 F.2d at
    873.
    Likewise, in Cooper v. United States, the Federal Circuit applied Dickinson in a
    temporary takings case to determine when the government’s taking of timber by
    intermittent flooding occurred. 
    827 F.2d 762
    , 764 (Fed. Cir. 1987). The Federal Circuit
    explained that “the critical question is: when did the destruction of trees become
    sufficiently stabilized so that the owner could determine the amount of timber taken?”
    
    Id.
     The Federal Circuit stated that, although trees began to die on the plaintiff’s property
    69
    in 1979, “the extent of the destruction was not ascertainable until 1984,” when the
    plaintiff filed suit. 
    Id.
    More recently, the Federal Circuit held in an erosion case that a situation becomes
    stabilized when the physical process caused by government action has “substantially
    encroached the parcels at issue and the damages [are] reasonably foreseeable.” Banks v.
    United States, 
    741 F.3d 1268
    , 1272-73 (Fed. Cir. 2014) (quoting Boling v. United States,
    
    220 F.3d 1365
    , 1373 (Fed. Cir. 2000)). The Federal Circuit has also applied Dickinson to
    hold, in a case alleging that the government’s actions in draining a lake caused
    uncontrolled vegetation growth, that a taking accrues when all the events which fix the
    United States’ alleged liability have occurred and the harmed party knows or should have
    known their existence. Nw. La. Fish & Game Pres. Comm’n v. United States, 
    446 F.3d 1285
    , 1290 (Fed. Cir. 2006). In that case, the Federal Circuit held that the proper accrual
    date occurred when the damages from the vegetation overgrowth became “quantifiable
    and present,” even where the plaintiff had estimated damages years earlier. Id. at 1291.
    Where stabilization is an issue, “it is the uncertainty surrounding the permanent
    nature of the taking, and not the uncertainty surrounding the ultimate extent of the[]
    damage, that is critical in determining whether the situation has stabilized.” Boling, 
    220 F.3d at 1372
    . Stabilization occurs where “environmental forces have substantially and
    permanently invaded the private property such that the permanent nature of the taking is
    evident and the extent of the damage is reasonably foreseeable.” 
    Id. at 1371
    . Selecting
    the date of taking under Dickinson and its progeny is a question of fact that is dependent
    on the unique circumstances of a particular case. Dickinson, 
    331 U.S. at 748-49
    ; Barnes,
    70
    538 F.2d at 873. Determining the date is “a practical matter and not a technical rule of
    law.” Dickinson, 
    331 U.S. at 749
    .
    Applying these standards, the question in this case is therefore: when did the
    flooding consequences of the MRRP claimed by the representative plaintiffs become
    sufficiently stabilized? In answering this question, the court considers when the nature of
    the flooding caused by the MRRP could be reasonably perceived, the foreseeability of the
    damages from this flooding, when the plaintiffs were or should have been aware of the
    MRRP-caused flooding on their properties, and the practicalities presented by the
    circumstances of this case.
    B.     The Taking Did Not Accrue in 2007
    Applying the Dickinson stabilization doctrine to this case, the court first rejects the
    government’s contention that the taking accrued in late 2007, when the atypical flooding
    on the representative plaintiffs’ properties first became apparent. See Def.’s Br. at 151.
    The MRRP’s effect on the River had not “stabilized” as of 2007, and it is unreasonable to
    expect the representative plaintiffs to have known of the MRRP’s ongoing effect on their
    property after the first atypical flooding event.
    To begin, Dickinson and the cases that follow reject the idea that the date of taking
    is the first flooding event because, at that time, the nature and the extent of the flooding at
    issue is still unknown. Dickinson, 
    331 U.S. at 769
     (holding that a claim does not accrue
    “as soon as [the property owner’s] land is invaded” because of the “uncertainty of the
    damage”); see also Cooper, 
    827 F.2d at 764
     (holding that the taking did not accrue when
    the timber in question was first damaged by flooding in 1979, but in 1984 when the
    71
    extent of the injuries was “ascertainable”); Barnes, 538 F.2d at 873 (setting the date of
    taking after five years of flooding). Likewise, here, at the time of the first atypical flood
    in 2007, there was no reason to know whether that flooding would continue in a way that
    would be so substantial and frequent as to constitute a taking. Boling, 
    220 F.3d at 1372
    (“[R]equiring the plaintiffs to sue immediately upon the initial encroachment of their land
    is too rigid an application of the stabilization principle.”).
    Rather, not until the plaintiffs had experienced multiple years of intermittent
    flooding would a taking have accrued. For example, in Barnes, the Court of Claims held
    that government-caused intermittent flooding did not amount to a taking of a permanent
    flowage easement until after years of flooding that was expected to continue into the
    future. See 538 F.2d at 872. The Court of Claims therefore did not set the date of taking
    at the date of the first flood in 1969, but five years later in 1973, when the “permanent
    character of intermittent flooding could fairly be perceived.” Id. at 873. A similar
    finding is warranted here, where the representative plaintiffs have presented evidence of
    years of intermittent flooding that began in 2007 and is expected to continue.
    Moreover, as discussed in the Phase I decision, the Corps’ projects under the
    MRRP continued past 2007, into 2014. See Ideker I, 136 Fed. Cl. at 669 (“Corps studies
    explain that as of 2014, the Corps had undertaken 1,697 dike notching actions, 354 major
    modification actions, 63 dike lowering actions, 36 dike extension actions, 39 side-channel
    chute actions, 20 revetment chute actions, 14 backwater actions, and 3 channel widening
    actions.”). The continued construction projects under the MRRP years after 2007
    undermine the government’s argument that the situation had “stabilized” by then.
    72
    Evidence in the Phase II record also supports the representative plaintiffs’ contention that
    the River continued to change between 2003 and 2015 near the representative plaintiffs’
    tracts. PX3718 (comparing “roughness” values in the Corps’ 2003 Flow Frequency
    Study and May 2015 Missouri River Unsteady HEC-RAS Model Calibration Report);
    PX3716 (Corps’ May 2015 HEC-RAS Report Appendix D). These studies show
    increased “roughness” in the River adjacent to the Adkins and Ideker properties. See
    PX3716 at USACE2571084 (roughness values); PX3718 at USACE0231783 (roughness
    values); Tr. 1729:10-1734:20 (Dr. Holmes, discussing these documents). Although these
    studies use two different modeling methods, see Def.’s Resp. at 31 n.28, the studies
    nonetheless recognize changes in the River post-2007, see PX3716 at USACE2571059.
    In addition, it is unreasonable to expect the representative plaintiffs to have known
    of the cause of the increased flooding by 2007 given the complex nature of the hydrology
    of the River. See Ideker I, 136 Fed. Cl. at 702-05 (describing Dr. Hromadka’s
    testimony). As the representative plaintiffs have testified, and many, if not all, of the
    Phase I plaintiffs testified, the cause of the flooding beginning in 2007 was not known
    until later. See Pls.’ Resp. at 30. The representative plaintiffs specifically explained that
    they were “not aware until sometime later [of] the MRRP, the deprioritization of flood
    control and the changes that had been made to the river and river management in 2004.
    The ongoing flooding was much different than before.” Tr. 82:2-6 (Adkins). And,
    although they “beg[a]n questioning the cause of flooding in our region” during “the 2010
    flood event,” the representative plaintiffs did not until March 2014 file suit “after getting
    confirmation from our expert in the latter half of 2013, the Government’s actions in
    73
    conjunction with the MRRP were causing the flooding we were experiencing.” Tr.
    150:22-151:13 (Schneider).
    The court rejects the government’s contention that the evidence demonstrates that
    the representative plaintiffs should have known of the cause of the increased flooding in
    2007. The government points to testimony by plaintiffs regarding observed changes in
    the River at various dates before the plaintiffs’ chosen date of 2014. See Def.’s Br. at 152
    (citing, for example, testimony by Mr. Adkins that the 2007 flooding was atypical), 154
    (citing testimony from the Phase II and Phase I plaintiffs regarding changes in the River
    since 2004). While changes in the River may have occurred earlier, the representative
    plaintiffs reasonably did not know the cause or character of the River changes and the
    foreseeable extent of the damages during those earlier times. See Nw. La. Fish & Game,
    446 F.3d at 1291-92 (holding that the fact that the plaintiffs estimated damages before the
    extent of potential harms became known did not set accrual at an earlier date than when
    the potential harms actually occurred and subsequently “stabilized”).
    The government further argues that this court has already held that the 2007
    flooding at issue on the representative plaintiffs’ properties was the foreseeable result of
    the MRRP, a required element of plaintiffs’ takings claims. Def.’s Br. at 152. Yet, this
    does not mean that the impact of the MRRP had stabilized by 2007, or that the nature of
    the takings claims had become known by the first atypical flood. See Barnes, 538 F.2d at
    873 (setting the date of taking as November 30, 1973, but noting that the relevant
    flooding “stretch[ed] back to 1969,” when the first flood occurred).
    74
    For all of these reasons, the court disagrees with the government’s proposed 2007
    date of taking.
    C.      The Accrual and Valuation Date is December 31, 2014
    The court instead agrees with the plaintiffs that, under the unique facts and
    circumstances of this case, the accrual and valuation date for a permanent flowage
    easement is December 31, 2014. First, as noted above, the MRRP construction activities
    relied on by the representative plaintiffs continued through 2014. See Ideker I, 136 Fed.
    Cl. at 669. This suggests that the full effect of the MRRP would not have “stabilized”
    until these construction activities were completed – in other words, when the events
    fixing the United States’ liability occurred – supporting plaintiffs’ December 31, 2014
    accrual date.24 See Nw. La. Fish & Game, 446 F.3d at 1291-92.
    Second, although they were aware of atypical flooding earlier, it is the combined
    effect of the years of intermittent flooding between 2007 and 2014 that supports the
    taking of a permanent flowage easement for the three representative plaintiffs.
    “Adopting a date of taking must often be done in a somewhat imprecise manner,” and the
    court is satisfied that based on the facts of this case for these three plaintiffs, “the
    permanent character of intermittent flooding could fairly be perceived” by the end of
    24
    Although the Corps plans to continue to construct new projects under the MRRP, see, e.g., Tr.
    1469:6-1471:22 (regarding minor modifications and yet-to-be-completed spawning habitat);
    Def.’s Br. at 73 (noting that the planned future MRRP construction will take place downstream
    of the three representative properties), plaintiffs do not base their takings claims on this new
    construction, except, as discussed above, to demonstrate that the MRRP is ongoing.
    75
    2014. Barnes, 538 F.2d at 873 (finding a date of taking for a permanent flowage
    easement after five years of intermittent flooding).
    Third, the representative plaintiffs testified that while they began to notice changes
    in the river before 2014 and began to question those changes in 2010, they could not
    reasonably have known that the MRRP caused those changes before consulting with their
    experts and ultimately filing suit. This, combined with the unique circumstances and
    “practical[ities]” of the case, further supports a date of taking of December 31, 2014.
    Dickinson, 
    331 U.S. at 749
    . As discussed above, the changes to the river caused by the
    MRRP are complex. See Ideker I, 136 Fed. Cl. at 702-05 (describing Dr. Hromadka’s
    testimony). As the Federal Circuit has held, a taking does not accrue until all the events
    which fix the United States’ alleged liability have occurred and the harmed party was
    aware of or should have been aware of their existence. Nw. La. Fish & Game, 446 F.3d
    at 1290. It is reasonable for the representative plaintiffs not to have known the cause of
    the flooding on their properties until consulting an expert. Although the plaintiffs
    consulted their expert in late 2013 and filed their lawsuit on March 5, 2014, the court
    concludes that it is appropriate to use December 31, 2014, the court’s original “cut-off”
    date for plaintiffs’ flooding claims, as the date of taking.
    In sum, the court concludes that the end of 2014 best represents when all of the
    events fixing the United States liability occurred, when the intermittent flooding on the
    representative plaintiffs’ properties became sufficiently permanent in nature, and when
    the plaintiffs knew or should have been aware of the nature and extent of the MRRP-
    76
    caused flooding. The court therefore agrees with the representative plaintiffs that
    December 31, 2014 is the appropriate date of accrual and valuation in this case.
    D.     The Taking Began in 2007
    Finally, the court agrees with the representative plaintiffs that it is appropriate to
    continue to treat the increased flooding attributable to the Corps’ MRRP actions prior to
    2014 as a continuous flood as it did in Phase I in determining when the taking began,
    based on the Federal Circuit’s remand decision in Arkansas Game & Fish. See Pls.’ Br.
    at 158-64. In that case the Federal Circuit, on remand from the Supreme Court, found
    that where the Corps’ yearly actions between 1993 and 2000 causing intermittent
    flooding on the land in question “were directed to a single purpose,” it was appropriate to
    analyze the intermittent flooding “as having lasted for seven years.” 736 F.3d at 1370.
    In other words, it was appropriate in that circumstance to treat the intermittent flooding as
    a single flood for purposes of the takings analysis, rather than treating each flood as an
    individual, separate action. Id.
    Pursuant to the Federal Circuit’s remand decision, in Phase I the court found here
    that “(1) the Corps’ System and River Changes were made for a single purpose; (2) the
    cumulative and combined effects of the System and River Changes made for that single
    purpose led to higher WSEs than would have existed without the System and River
    Changes; and (3) the higher WSEs led to flooding, or more severe flooding on the
    property owned or farmed by that individual plaintiff than the flooding the plaintiff
    would have experienced without the Corps’ System and River Changes.” Ideker I, 136
    Fed. Cl. at 674. Applying these facts to the reasoning in the Arkansas Game & Fish
    77
    remand decision, the court held that “it is proper to consider the series of changes made
    by the Corps for a single purpose” in the causation analysis, id. at 674, rather than isolate
    each individual Corps action under the MRRP and connect that action to each flooding
    event on each plaintiffs’ individual property, as the government sought, id. at 673.
    The court now finds that this same reasoning extends to determining the period of
    the taking. The atypical flooding caused by the MRRP began in 2007, as part of a series
    of floods caused by the Corps’ actions under the MRRP that is continuing today. Under
    the Federal Circuit’s remand decision in Arkansas Game & Fish, the court treats this
    series of intermittent floods collectively in determining the period and nature of the
    taking and in evaluating just compensation. See 736 F.3d at 1370.
    The government suggests that, where the court has determined an accrual date in
    2014, treating the taking as beginning in 2007 is inconsistent with Barnes, where the
    Court of Claims held that any flooding damages “sustained prior to the date of taking are
    the product of tortious invasions” and are thus unrecoverable. 538 F.2d at 874; Def.’s Br.
    at 154, 159. The Barnes court reasoned that “not until the date of taking,” when it
    became clear that prior flooding would continue and that the government therefore had
    taken a permanent flowage easement, “did these several tortious invasions ripen to the
    extent necessary to confer on the defendant a flowage easement.” Id. at 874. According
    to the government, any damages claimed by the plaintiffs prior to the 2014 accrual date
    are tort damages beyond this court’s jurisdiction. Def.’s Br. at 154, 159.
    It is well-settled that tortious flood damages claims are not within the court’s
    jurisdiction. Ridge Line, 
    346 F.3d at 1355
    . However, since Barnes, the Supreme Court
    78
    has held that government-induced intermittent flooding could constitute a taking, rather
    than a tort, even where the flooding is temporary in nature. Ark. Game & Fish, 
    568 U.S. at 27
    . In doing so, the Supreme Court reversed the Federal Circuit’s decision, which
    relied in part on Barnes, that the government’s actions “at most created tort liability.”
    Ark. Game & Fish Comm’n v. United States, 
    637 F.3d 1366
    , 1378, 1379 (Fed. Cir. 2011).
    On remand from the Supreme Court, the Federal Circuit held that the seven years of
    intermittent flooding caused by the government in that case could be treated as one flood
    in the takings analysis. 736 F.3d at 1370. The Federal Circuit upheld the trial court’s
    determination that this intermittent flooding (which had a single purpose of providing
    water to farmers), taken together, constituted a taking. Id. at 1381.
    In this case, there has been a permanent, rather than a temporary, taking, based on
    intermittent flooding related to the single purpose of the MRRP. The parties agree that
    the Supreme Court’s decision in Arkansas Game & Fish is applicable not only to a
    temporary taking due to intermittent flooding, but to the taking of a permanent flowage
    easement due to intermittent and continuing flooding. See supra n.23. The court finds no
    reason not to apply the rationale of Arkansas Game & Fish in this case, even though the
    intermittent flooding here – unlike the intermittent flooding in Arkansas Game & Fish –
    will continue into the future. Applying Arkansas Game & Fish, the court finds it
    appropriate to hold that the accrual date of intermittent flooding resulting in a permanent
    flowage easement may be later than the date that the taking began. The court therefore
    treats the taking here as beginning in 2007, when flooding attributable to the MRRP
    79
    began, and rejects the government’s argument that any floods prior to the 2014 accrual
    date were tortious invasions outside this court’s jurisdiction.
    Based on the foregoing, the court determines that, while the taking began in 2007,
    the representative plaintiffs’ claims did not accrue until December 31, 2014. The
    representative plaintiffs have therefore brought their claims within the six-year statute of
    limitations applicable to this case. In addition, as discussed below, December 31, 2014 is
    the appropriate date for valuing just compensation for the permanent flowage easement
    taken.
    IV.      Just Compensation
    Having determined that the taking began in 2007 and accrued in 2014, the court
    next turns to just compensation. Where there is a physical taking under the Fifth
    Amendment, the court must award just compensation. See Yee v. City of Escondido, 
    503 U.S. 519
    , 527 (1992) (holding that the government must pay just compensation when it
    “requires [a] landowner to submit to the physical occupation of his land”); see also Banks
    v. United States, 721 F. App’x 928, 940 (Fed. Cir. 2017) (“It cannot be the case that acres
    of property are lost due to erosion and the value of that total property is not affected.”).
    Just compensation must be paid in an amount that puts the property owner in “as good a
    position pecuniarily as he would have occupied if payment had coincided with the
    appropriation.” Kirby Forest Indus., Inc. v. United States, 
    467 U.S. 1
    , 10 (1984). The
    court does not require proof of the “precise amount” of just compensation due, but only a
    “reasonable approximation,” Ark. Game & Fish, 736 F.3d at 1379, which “requires more
    than a guess, but less than absolute exactness,” Precision Pine & Timber Inc. v. United
    80
    States, 
    596 F.3d 817
    , 833 (Fed. Cir. 2003). “[J]ust compensation must be measured by
    an objective standard that disregards subjective values which are only of significance to
    an individual owner.” United States v. 50 Acres of Land, 
    469 U.S. 24
    , 35 (1984).
    The representative plaintiffs’ claims for just compensation in this case involve
    valuing the permanent flowage easement based on the diminution in land value due to the
    increased flooding pattern on the representative tracts as measured on the date of accrual
    in 2014, as well as the crop and other losses, including land and levee restoration,
    sustained from 2007 to 2014. The court first addresses the valuation of the permanent
    flowage easement, and then turns to whether plaintiffs are entitled to lost crop and other
    damages prior to the 2014 date of accrual. Finally, the court addresses the proper interest
    rate.
    A.     Valuation of Just Compensation for the Taking of the Permanent
    Flowage Easement
    In this case, the United States has taken a flowage easement across the
    representative plaintiffs’ properties. Where the United States takes less than an entire
    parcel, the “before-and-after” valuation method is generally the simplest and perhaps the
    most widely-used approach that “serves to lessen the pitfalls and problems that arise
    when a series of factors affecting value are added together to arrive at a total severance
    damage determination.” Ga. Pac. Corp. v. United States, 
    640 F.2d 328
    , 336 (Ct. Cl.
    1980). Under the before-and-after method, “just compensation” is the difference between
    the fair market value of the whole parcel immediately before the taking and the remainder
    after the taking. United States v. Miller, 
    317 U.S. 369
    , 376 (1943); see also Otay Mesa
    81
    Prop., L.P. v. United States, 
    670 F.3d 1358
    , 1363-64 (Fed. Cir. 2012) (“Where the
    property interest permanently taken is an easement, the ‘conventional’ method of
    valuation is the ‘before-and-after’ method, i.e., ‘the difference between the value of the
    property before and after the Government’s easement was imposed.’” (quoting United
    States v. Va. Elec. & Power Co., 
    365 U.S. 624
    , 632 (1961)).
    However, there is no one approved approach for determining what injuries and
    losses are compensable; rather, the determination must be based on the particular facts of
    each case. Hendricks v. United States, 
    14 Cl. Ct. 143
    , 149 (1987) (holding “the concept
    of just compensation cannot be reduced to formula nor can it be confined to inexorable
    rules”) (internal citation and quotation marks omitted); Ridge Line, 
    346 F.3d at 1354-55
    (holding that the trial court erred in finding that damages could not be demonstrated
    simply because the plaintiff did not provide appraisals of its land value before and after
    the taking). The trial court has considerable discretion in determining the methodology to
    be used in calculating just compensation. Innovair Aviation, Ltd. v. United States, 
    82 Fed. Cl. 567
    , 568 (2007). Regardless of the valuation method used, “a judge may award
    damages, even if [the judge] does not fully credit that party’s methodology.” Banks, 721
    F. App’x at 940 (quotation omitted).
    Ultimately, the court must determine whether the damages were shown “to a
    reasonable approximation” of the value of what was taken from the plaintiffs. Ark. Game
    & Fish, 736 F.3d at 1379. For the reasons set forth below, the court finds that the
    representative plaintiffs’ damages calculations meet that standard.
    82
    1.     The Representative Plaintiffs’ Method of Before-and-After
    Valuation Offers a Reasonable Approximation of the
    Diminution in Fair Market Value of Their Properties
    The representative plaintiffs relied on three experts, Mr. Leo Smith, Mr. Tim
    Keller, and Dr. Bruce Babcock, to determine the diminution in the fair market value of
    their tracts due to the imposition of the permanent flowage easement. As discussed
    below, the plaintiffs did not use the traditional “before-and-after” appraisal method to
    determine just compensation. However, the court finds the plaintiffs experts’ opinions
    credible and persuasive, and that the representative plaintiffs’ method, under the unique
    circumstances of this case, provides a reasonable approximation of the diminution in fair
    market value of the representative plaintiffs’ tracts.
    a.      The court finds the testimony of plaintiffs’ appraisers
    credible and reliable
    First, the representative plaintiffs relied on the testimony of local appraisers, Mr.
    Leo Smith and Mr. Tim Keller. Mr. Smith and Mr. Keller were not tasked with
    performing before-and-after property appraisals. Rather, Mr. Smith and Mr. Keller were
    tasked with valuing the representative plaintiffs’ tracts as of the December 31, 2014 date
    of taking; in other words, to appraise the plaintiffs’ property after the imposition of the
    permanent flowage easement. Tr. 316:10-317:2 (Smith); Tr. 453:15-454:2 (Keller). Mr.
    Smith and Mr. Keller were also tasked with providing Dr. Babcock additional appraisal
    data needed to perform his analysis (described below). Tr. 319:5-8 (Smith); Tr. 454:10-
    15 (Keller). Although the government had originally planned to call its own appraisal
    83
    witness, that witness was withdrawn before trial, and the government did not offer its
    own appraisals of the plaintiffs’ properties.
    The court finds the appraisals of Mr. Smith and Mr. Keller credible and reliable.
    Both Mr. Smith and Mr. Keller are local, experienced appraisers. Mr. Smith has been a
    licensed real estate appraiser for over 21 years and is a licensed certified general real
    property appraiser in Iowa and Nebraska. Tr. 320:3-17; see also PX3031 (Smith CV).
    Mr. Keller has been a licensed real estate appraiser for over 27 years, in Kansas,
    Missouri, Nebraska, and Colorado. Tr. 455:15-456:19. Both Mr. Smith and Mr. Keller
    previously completed appraisals for the federal government, including for the U.S. Army
    Corps of Engineers. Tr. 321:22-322:13 (Smith); Tr. 545:7-546:9 (Keller). Mr. Smith and
    Mr. Keller are familiar with Missouri River bottom farmland, the type of property which
    they were asked to appraise. Tr. 323:3-7 (Smith); Tr. 460:4-10 (Keller). The appraisals
    were developed in conformity with the Uniform Standards of Professional Appraisal
    Practice. Tr. 320:19-24 (Smith); Tr. 457:1-14 (Keller). Both appraisers testified that
    they complied with “all applicable ethical and professional standards in conducting” the
    appraisals. Tr. 321:19-21 (Smith); Tr. 457:23-25 (Keller).
    Mr. Smith appraised the Adkins representative tract using the comparable sales
    approach. This approach uses sales considered to have been made in the most similar
    market areas and with the most similar land characteristics as the Adkins tract, near the
    December 31, 2014 valuation date. Tr. 323:13-324:1. Mr. Smith split the Adkins
    property into four appraisals after considering the highest and best use of the property.
    Tr. 317:19-318:11. Only the two Adkins farmland tracts, referred to as the farmland
    84
    inside and outside the levee, are relevant here. Tr. 1013:1-8 (Babcock). Mr. Smith also
    verified these two appraisals using an income approach and a cost approach. Tr. 324:16-
    24. In conducting his appraisals, Mr. Smith received information including the Adkins
    tract profile, visited with Mr. Adkins, and visited the Adkins representative tract. Tr.
    323:7-12.
    The Adkins representative tract inside the levee is approximately 754.52 acres of
    improved farmland of which 698.03 acres are tillable and 47.92 are timberland. Tr.
    325:13-16. The appraised market value using the sales comparison approach of the
    Adkins representative tract inside the levee was $6,700 per acre or $5,055,000 as of
    December 31, 2014. Tr. 331:5-10; see also PX3037 (opinion of value document using
    different approaches). In performing the comparable sales appraisal, Mr. Smith made
    adjustments for characteristics including building improvements and soil quality
    differences and noted that several of the comparable sales had slow drainage issues like
    the Adkins farmland inside the levee. Tr. 330:19-331:3.
    The Adkins representative tract outside the levee is 221.57 acres of unimproved
    farmland with 98.08 tillable acres and 72.28 acres enrolled in the Forest Reserve. Tr.
    335:17-22. The appraised fair market value of the Adkins representative tract outside the
    levee, using the sales comparison approach, was $2,300 per acre or $510,000 as of
    December 31, 2014. Tr. 340:16-19; see also PX3055 (opinion of value document using
    different approaches). In conducting the appraisal using the comparable sales approach,
    Mr. Smith made adjustments for the timing of the sales and land mix. Tr. 339:24-340:4.
    85
    Mr. Keller appraised the Ideker and Buffalo Hollow tracts using a sales
    comparison approach, as verified by an income approach. Tr. 460:4-461:22. The
    comparable sales analysis focused on comparable sales of properties with similar
    characteristics that occurred near the time of the December 31, 2014 valuation date. Tr.
    461:2-4. Mr. Keller “received information including the tract profiles, met and visited
    with” the Schneiders and Mr. Ideker, and “visited each of the representative tracts on
    several occasions . . . .” Tr. 460:11-16. In conducting the appraisals, Mr. Keller
    researched, among other things, flood zone status, tax data, crop history, soil data,
    comparable sales data, and the plaintiffs’ summary of the River’s flooding history. Tr.
    459:22-460:3.
    Mr. Keller appraised the Ideker representative tract at $8,250 per acre, or
    $12,330,000 as of December 31, 2014. Tr. 478:19-23; Tr. 480:3-13; Tr. 483:8-12; see
    also PX3273 (Ideker sales comparison conclusions). Mr. Keller appraised the Buffalo
    Hollow representative tract at $8,000 per acre or $6,230,000 for the bottomland, $2,500
    per acre or $1,240,000 for the upland, for a total value of $7,470,000. Tr. 470:2-14; Tr.
    483:1-7; see also PX3266 (Buffalo Hollow sales comparison conclusions). Both of these
    values fell within the range in prices for Missouri River bottomland in Northeast Kansas
    and Northwest Missouri of $6,500 per acre to $8,250 per acre. Tr. 483:14-17.
    Based on their qualifications and testimony, the court finds Mr. Smith and Mr.
    Keller’s appraisals of the representative plaintiffs’ tracts persuasive and adopts those
    valuations.
    86
    b.     The court finds the representative plaintiffs’ diminution
    in value analysis a credible method of measuring just
    compensation
    Next, the plaintiffs relied on the econometric analysis of Dr. Bruce Babcock, an
    agricultural economist,25 who, using farmland sales data obtained from Mr. Smith and
    Mr. Keller and interviews of the representative plaintiffs, estimated the diminution in the
    fair market value of the representative plaintiffs’ properties due to the MRRP. Tr.
    1001:3-1002:3. To do so, Dr. Babcock measured “the extent to which the fair market
    values of the Phase II tracts in the actual world . . . that . . . includes the MRRP
    permanent flowage easements . . . are less than the hypothetical fair market values of
    those Phase II tracts . . . in the but-for world (without the MRRP permanent flowage
    easement).” Tr. 1016:19-1017:6.
    Dr. Babcock’s approach used actual farmland sales data in the Missouri River
    Basin, both before and after the MRRP, to determine how the MRRP on average affected
    farmland price. Tr. 1026:2-6. Farmland price data was obtained from Mr. Smith and Mr.
    Keller, plaintiffs’ appraisers. Tr. 1039:14-19 (referencing Mr. Smith); Tr. 1048:3-8
    (referencing Mr. Smith and Mr. Keller). Mr. Smith compiled 20 years of arms-length
    land sales of Missouri River bottomland in Nebraska and Iowa. Tr. 358:2-7 (Smith). He
    25
    Dr. Babcock is an agricultural economist and is currently a Professor of Public Policy at the
    University of California at Riverside. Tr. 1002:9-15. Dr. Babcock received his Bachelor’s
    degree from the University of California at Davis in 1980, a Master’s degree from the University
    of California at Davis in 1981, and his Ph.D. in Agricultural and Resource Economics from the
    University of California at Berkeley in 1987. Tr. 1003:19-1004:4. For most of his career, Dr.
    Babcock held various roles at Iowa State University; most notably, he was the director of a
    public policy research center called The Center for Agricultural and Rural Development, for
    which he was the director from 1998 to 2011. Tr. 1002:16-22; see generally PX3350 (Babcock
    CV).
    87
    also gathered twenty years of land sales data for both the East and West Nishnabotna
    River Basins, a tributary of the Missouri River. Tr. 359:21-360:3 (Smith). Mr. Keller
    collected data from Kansas, Missouri, and Nebraska. Tr. 3204:19-3205:22 (Babcock).
    Dr. Babcock limited the data to arms-length, commercial agricultural transactions, and
    ruled out land sales where the price was inflated by developmental value. Tr. 1048:3-19.
    Dr. Babcock also limited the farmland data along the Missouri River Basin to the state of
    Iowa. Tr. 1143:8-1144:9; Tr. 1148:21-1149:1. Dr. Babcock excluded data from other
    states because of the small number of observations and because the other states would
    have impeded his ability to use the Iowa soil quality index as an explanatory variable in
    his analysis. Tr. 3205:3-3207:16.
    Using this data, Dr. Babcock conducted a regression analysis that allowed for a
    change in farmland prices to occur in 2011. Tr. 1027:8-16. Dr. Babcock used this 2011
    “switch point” or “intercept” variable to measure the effect of the MRRP, reasoning that
    by 2010, the effects of the MRRP would have been reflected in farmland prices. Tr.
    1061:5-1062:4. Dr. Babcock’s regression analysis also controlled for other variables that
    determine farmland prices, such as technology costs, soil quality, and the amount of
    tillable acreage. Tr. 1033:5-12; Tr. 1036:22-1037:23.
    To control for whether some factor other than the MRRP may have impacted
    farmland value, Dr. Babcock’s model also incorporated farmland data from the
    Nishnabotna River Basin. Tr. 1039:14-1040:9. The Nishnabotna is a tributary of the
    Missouri River. Tr. 359:23-360:1 (Smith). The farmland along the Nishnabotna is
    unaffected by the MRRP but otherwise similar to the farmland along the Missouri River
    88
    Basin. Tr. 1027:17-3 (“I also got additional farmland sales data from a nearby river basin
    that’s not impacted by the MRRP, and I used that data . . . as a check.”); Tr. 1046:14-
    1047:24 (description of regression equation). Although Dr. Babcock did not initially
    label it as such, this type of regression model is known as a “difference-in-difference”
    model. Tr. 3168:21-3170:15 (Dr. Babcock equating his model with a “difference-in-
    difference” model). The first “difference” in the model measures the change in farmland
    prices in 2011 along the River, which Dr. Babcock uses to measure the impact of the
    MRRP. The second “difference” measures the change in 2011 on the Nishnabotna River.
    See Tr. 1050:17-1053:17. The difference between these farm price changes measures the
    impact of the MRRP. See Tr. 1055:8-1060:13.
    The results of Dr. Babcock’s initial regression analysis indicated that if the MRRP
    had not affected farmland prices, the Missouri River Basin farmland prices would have
    been, on average, 25.7 percent higher. Tr. 1055:13-16; see also PX3389 (demonstrative
    sales data plots); PX3356 (model results chart); PX3390, PX3391, PX3392
    (demonstrative graphs visualizing the regression results). After discovering that he
    erroneously included three land sales, Dr. Babcock re-ran the analysis, which increased
    the average diminution in value to 26.9 percent. Tr. 1059:20-1060:10. Dr. Babcock
    opined that this change was statistically significant, meaning that he could be confident
    that the change was not zero. Tr. 1057:19-1058:3. In contrast, Nishnabotna River Basin
    farm prices would have been 9 percent lower had there been no change in 2011. Tr.
    1055:16-18. However, this change in farmland prices in the Nishnabotna River Basin
    89
    was not statistically significant. Tr. 1058:9-1059:6. Dr. Babcock therefore treated this
    shift – the second “difference” – as if it had not occurred. Tr. 1059:3-6.
    Dr. Babcock also performed a check on the robustness of the model to determine
    whether allowing the change in farmland prices to occur in 2011, rather than some other
    year, was appropriate. Tr. 1060:14-1064:6. Dr. Babcock determined that the highest
    diminution in value occurred in 2010, and opined that that was the correct year of the
    diminution in value for his statistical model. Tr. 1063:24-1064:6. Dr. Babcock further
    testified that his result aligned with his interviews with the representative plaintiffs and
    Dr. Mays’ analysis. Tr. 1061:17-25. He testified that flooding through the late 2010 time
    period would have increased the knowledge that something had changed among local
    farmers and outside buyers. Tr. 1061:13-16. When he first talked to the representative
    plaintiffs, they told him that they first became aware that something had changed on the
    river in the first decade in the late 2000s. Tr. 1061:18-25. And they all said they were
    aware of the changed river by 2011. Tr. 1062:1-4.
    Dr. Babcock then took that average diminution in value of 26.9 percent and
    translated it into a tract-specific diminution in value. Tr. 1065:13-1069:9. Based on a
    review of the Phase I opinion, his conversations with the representative plaintiffs, and Dr.
    Mays’ analysis, Dr. Babcock concluded that the representative plaintiffs had greater-than-
    average increased flood losses. Id. Dr. Babcock then incrementally increased the
    diminution in value of the Adkins tract to 27.5 percent, and of the Buffalo Hollow and
    Ideker tracts to 30 percent, which he believed to be a “conservative” estimate of the
    diminishment in their respective fair market values. Tr. 1069:10-23. Based on its review
    90
    of Dr. Babcock’s approach and Dr. Babcock’s qualifications, the court finds Dr.
    Babcock’s method of just compensation persuasive and reliable.
    c.     The government’s arguments do not undermine plaintiffs’
    method
    The government contends that the representative plaintiffs’ method of valuing the
    diminution in the fair market value of their properties should be rejected on three general
    grounds: (1) Mr. Jones and Mr. Keller’s appraisals of plaintiffs’ properties are unreliable;
    (2) Dr. Babcock’s method of calculating the before-and-after valuation of the plaintiffs’
    properties is improper; and (3) assorted additional criticisms of Dr. Babcock’s model.
    Def.’s Br. at 83-100, 158-59. The court determines that the government’s objections and
    criticisms do not undermine Dr. Babcock’s approach.
    First, the government raises several issues with Mr. Smith and Mr. Keller’s
    appraisals of the representative plaintiffs’ tracts as of December 31, 2014. However, the
    issues raised by the government do not undermine the reliability of the appraisals. For
    example, the government raises issues with the appraisal of development and residential
    tracts on the Adkins property. Def.’s Br. at 84-85 (criticizing Mr. Smith’s reliance on the
    city of Council Bluff’s 2030 development plan). But this criticism is irrelevant, as Dr.
    Babcock’s ultimate opinions regarding diminution in value apply to only two of the
    appraisals Mr. Smith provided, both of which are for farmland (inside and outside the
    levee). Tr. 1013:1-8; Tr. 1014:3-8.
    As another example, the government argues that Mr. Smith and Mr. Keller did not
    appropriately adjust the comparable sales for flood frequency or size. Def.’s Br. at 86-88.
    91
    However, in determining just compensation, mathematical certainty is not required. See,
    e.g., Otay Mesa Prop., L.P. v. United States, 
    779 F.3d 1315
    , 1323 (Fed. Cir. 2015)
    (requiring “more than a guess, but less than absolute exactness” (quoting Precision Pine,
    596 F.3d at 833)). The government did not offer its own appraisals of the properties or
    provide the proper method of doing so, nor did the government provide a sense of
    whether these adjustments would have made a large or small difference in the appraisals.
    While it could be true that Mr. Smith and Mr. Keller could have made certain
    adjustments to their appraisals, the court finds that none of the issues raised by the
    government fatally undermine the credibility and reliability of Mr. Smith and Mr.
    Keller’s opinions. Even if the appraisals lack perfection, they are the best evidence
    available. For these reasons, the court rejects the government’s arguments regarding the
    reliability of the appraisals of plaintiffs’ properties.
    Second, the government argues that because the plaintiffs did not conduct a
    standard before-and-after valuation as called for by the Yellow Book,26 the representative
    plaintiffs’ method of measuring diminution in value is improper. Def.’s Br. at 83, 87. As
    an initial matter, the Yellow Book applies to only those appraisals being conducted at the
    request of the government. See Hardy v. United States, 
    141 Fed. Cl. 1
    , 32 (2018) (“[A]s
    a matter of law, [Plaintiffs’ appraiser] was not bound by the Yellow Book. The Yellow
    Book applies only to appraisers hired by the federal government for condemnation
    26
    The Yellow Book is shorthand for the Uniform Appraisal Standards for Federal Land
    Acquisitions, developed and adopted by the Interagency Land Acquisition Conference and
    published by the Appraisal Institute to guide appraisals associated with federal land acquisitions.
    See Tech. College of the Low Country v. United States, 
    145 Fed. Cl. 408
    , 426 (2019).
    92
    purposes; it is not mandatory with respect to appraisers not hired by the government.”).
    The plaintiffs’ appraisers, therefore, were not bound by the Yellow Book.
    In addition, the court disagrees with the government’s argument to the extent that
    the government suggests that a standard before-and-after valuation method by an
    appraiser must be used in determining just compensation. Def.’s Resp. at 35, ECF No.
    682 (“The correct way of determining just compensation in a takings case is through a
    straightforward before-and-after analysis of fair market value, where an appraiser uses
    comparable properties and other techniques to determine the subject property’s value
    immediately before and immediately after the date-of-taking.”). The Federal Circuit has
    stated that in assessing just compensation, the court has the flexibility to consider
    alternative approaches from the standard before-and-after method using comparable
    sales. See, e.g., Banks, 721 F. App’x at 940. As the government itself acknowledges,
    “courts are willing to employ non-traditional valuation methods when necessary.” Def.’s
    Resp. at 35. The court does not fault plaintiffs for seeking the expert opinion of a
    qualified agricultural economist, rather than an appraiser, to evaluate the effects of the
    MRRP on plaintiffs’ properties.
    Moreover, the model by Dr. Babcock is not a wholesale departure from the before-
    and-after valuation method. Evidence was presented showing that farmland prices were
    generally increasing in the Missouri River Basin from the 1990s through 2013, meaning
    that the value of the flowage easement taken by the government may not have been
    reflected in a standard before-and-after appraisal. See Tr. 1028:25-1030:1; see also
    PX3386 (demonstrative plotting farmland price data on the Missouri River). In light of
    93
    that, the court finds Dr. Babcock’s method proper. As Dr. Babcock opines in his rebuttal
    testimony, his model measures the average before-and-after effect of the MRRP on
    properties along the Missouri River Basin, which he then adjusts to plaintiffs’ respective
    properties. Tr. 3212:4-3215:18. While criticizing certain aspects of Dr. Babcock’s
    model, the government’s rebuttal expert, Dr. Sunding, did not testify that the “difference-
    in-difference” model could not be used for this purpose.
    Third, the court finds that none of the problems the government raises with Dr.
    Babcock’s model through the testimony of its rebuttal expert, Dr. Sunding,27 are
    persuasive. Def.’s Br. at 89-100. For example, the government argues that Dr. Babcock
    did not perform a difference-in-difference analysis and offered “flaw[ed], nonstandard”
    work product as a result. Id. at 89, 95; see also Tr. 2759:4-6 (Dr. Sunding testifying that
    “Dr. Babcock uses a nonstandard statistical framework and misinterprets his results”). In
    particular, Dr. Sunding criticizes Dr. Babcock for not using the “second difference” in
    forming his opinion. See Tr. 2763:22-24 (“[T]he way economists would describe what
    Dr. Babcock is doing is he’s estimating a first difference.”); Tr. 2764:17-24
    (“Observations from the Nishnabotna . . . don’t directly influence [Dr. Babcock’s]
    estimated treatment effect, because . . . Dr. Babcock is only estimating a first difference
    27
    Dr. Sunding is a professor of agricultural and resource economics at the University of
    California at Berkeley. He has been on the faculty there since 1992, specializing in agricultural
    economics, applied econometrics, natural resource economics, and law and economics. Tr.
    2736:12-19. He also has been a visiting professor at Stanford in the Woods Institute of the
    Environment. He has won a number of research awards over the course of his career. In 2009,
    he was named the inaugural Thomas J. Graff Professor in the College of Natural Resources at
    Berkeley in the area of natural resource economics, with an emphasis in the economics of water
    resource. He has served two terms as chair of Berkeley’s Department of Agricultural and
    Resource Economics. Tr. 2737:7-2739:10; DX6033-0031 (Sunding CV).
    94
    for the Missouri Basin parcels, which is why I say that Dr. Babcock didn’t use a
    difference-in-difference framework.”); see also Tr. 2769:19-2770:6 (summarizing the
    difference-in-difference analysis). However, Dr. Babcock explained that he dropped this
    “second difference” as statistically insignificant, which resulted in a more conservative
    estimate of diminution in value. Tr. 3179:24-3181:16.
    Dr. Sunding also criticizes Dr. Babcock for relying on plaintiffs’ appraisers and
    for failing to include certain explanatory variables and data points from other states in the
    model. See Tr. 2755:6-2756:3 (criticizing Dr. Babcock for not using a “random sample”
    of data); Tr. 2752:20-2754:9 (criticizing Dr. Babcock for not collecting his own data and
    not including the “entire population of sales in his dataset” as he claims to have done);
    Tr. 2814:22-2815:13 (criticizing Dr. Babcock for not using all of the information he was
    armed with in his analysis); Tr. 2824:9-2825:17 (criticizing Dr. Babcock for basing his
    analysis on four Iowa-based counties that do not contain any of the representative
    properties and are distanced from the representative properties). Yet, the court has
    already determined plaintiffs’ appraisers to be reliable and credible. In addition, Dr.
    Babcock persuasively opined that the additional variables added by Dr. Sunding are
    themselves statistically insignificant and added no explanatory power to the model. See
    Tr. 3195:10-3197:24. Dr. Babcock also persuasively testified as to why he excluded
    certain data points, including the fact that other states had small and unbalanced datasets
    for purposes of the before-and-after valuation, and that limiting the dataset to relevant
    Iowa sales was appropriate in light of the superior explanatory variables that were limited
    to Iowa, such as the Iowa soil quality measure. Tr. 3205:18-3210:14.
    95
    Dr. Sunding further criticizes Dr. Babcock of “data mining” in choosing the 2011
    date as the “switch point” in his model, purportedly to cherry pick the year that yielded
    “the largest diminution in property value.” Tr. 2798:21-2799:6. Dr. Sunding argues that
    in determining the “switch point,” Dr. Babcock should have conducted local media
    searches to determine when market participants would have been made aware of the
    MRRP or flooding. Tr. 2797:12-2798:10; Def.’s Br. at 96. But, as explained above, Dr.
    Babcock persuasively opines that the 2011 date is based on both a robustness check and
    his interviews with the plaintiffs, which highlighted their overall understanding of the
    flooding. Tr. 3190:1-3191:11. While more limited than a local media search, the court
    finds Dr. Babcock’s method behind selecting 2011 as his “switch point” reliable.
    Finally, as Dr. Babcock points out, the government’s own expert on crop damages,
    Dr. Evans, confirms the plausibility of Dr. Babcock’s diminution in value. As discussed
    in the liability section of this opinion, the government relied on the testimony of Dr.
    Robert Evans28 to provide an alternative valuation of crop loss, should the court award
    damages for lost crops. In brief, Dr. Evans, relying on WSEs from plaintiffs’ Phase I
    expert, Dr. Christensen, and the government’s Phase II expert, Dr. Holmes, used
    28
    Dr. Robert Evans is the United States’ expert witness in agricultural engineering. He has over
    thirty-five years of experience conducting agricultural water table management research and
    advising farmers about strategies to manage on-farm water to optimize agricultural production.
    Tr. 2337:9-14. Dr. Evans has over 50 years of first-hand experience managing excess water on
    his family farm, a farm comprised of inherently wet, poorly drained soils. Tr. 2337:21-23; Tr.
    2343:25-2443:3. He has Ph.D., M.S., and B.S. in Biological and Agricultural Engineering from
    North Carolina State University. Tr. 2338:20-23. Dr. Evans has served as a Professor Emeritus
    at North Carolina State University since 2017 and head of the Department of Biological and
    Agricultural Engineering from 2006 until 2014. Tr. 2339:7-12. He has taught or co-taught
    courses on DRAINMOD to engineers and other professionals across the United States, including
    the mid-west. Tr. 2342:15-19.
    96
    DRAINMOD, a water management simulation model, to isolate and measure the
    incremental impact of the MRRP on plaintiffs’ crop yields from 2004 to 2015. Tr.
    2356:15-22; Tr. 2378:5-8; Tr. 2344:12-19; Tr. 2345:23-2346:3; Tr. 2428:7-13. As
    recounted by Dr. Sunding, Dr. Evans estimated an average 12 percent drop in production
    for corn and soybeans on the representative plaintiffs’ properties. Tr. 3181:21-3182:3
    (Dr. Babcock summarizing Dr. Sunding’s testimony). As opined by Dr. Babcock, this
    drop in production translates roughly into a 27 percent decrease in fair market value,
    which is in line with Dr. Babcock’s estimated 26.9 percent average decrease attributable
    to the MRRP. Tr. 3186:16-24.
    For these reasons, the court finds that Dr. Babcock’s method in determining the
    before-and-after effect of the MRRP reasonably approximates the diminution in value of
    the representative properties. Notably, the government has not offered an alternative
    method of calculating the diminution in value, only criticisms of the plaintiffs’ method.
    This was not enough, particularly in light of Dr. Babcock’s reasoned responses to Dr.
    Sunding’s criticisms.
    2.     The Court Adopts Dr. Babcock’s Diminution in Value
    Calculations for the Plaintiffs’ Representative Tracts
    Having concluded that Dr. Babcock’s method in determining the average effect of
    the MRRP on Missouri River Basin properties is appropriate, the court now turns to the
    diminution in value of plaintiffs’ representative properties. To determine the diminution
    in fair market value of plaintiffs’ representative properties, Dr. Babcock increased his
    “conservative” estimate of diminution in value to 27.5 percent for Adkins, and 30 percent
    97
    for Buffalo Hollow and Ideker. Tr. 1069:10-20. Dr. Babcock based his increases on the
    court’s opinion in Phase I that the representative plaintiffs had greater than average
    increased flood losses, his discussion with plaintiffs, and Dr. Mays’ analysis. Id.
    Although the government through the testimony of Dr. Sunding argues that Dr.
    Babcock’s analysis is “subjective and unscientific,” Tr. 2835:12-16, the court agrees with
    the plaintiffs that Dr. Babcock’s approach represents a reasonable approximation of the
    representative plaintiffs’ losses.
    Just compensation “should be carefully tailored to the circumstances of each
    particular case” and “should be based on an assessment of precisely what the government
    takes from a landowner.” Otay Mesa, 670 F.3d at 1368. It was therefore entirely
    appropriate for Dr. Babcock to translate his average diminution in value to the plaintiffs’
    representative properties. While not precise, Dr. Babcock’s approach amounts to “more
    than a guess,” which is all that is called for in evaluating just compensation. Precision
    Pine, 596 F.3d at 833.
    Moreover, Dr. Babcock’s analysis of the government’s expert on crop loss, Dr.
    Evans, supports a higher diminution in value for the plaintiffs’ representative tracts. As
    noted above and persuasively explained by Dr. Babcock in rebuttal, Dr. Evans testified
    that plaintiffs’ properties experienced decreased crop yields during the relevant flooding
    years. See Tr. 3186:16-21 (Dr. Babcock noting that Dr. Evans estimated a 12 percent
    drop in crop yields during the relevant period). After looking at this data “more
    careful[ly],” Tr. 3186:25-3187:3, Dr. Babcock opined, using Dr. Evans’ data, that “the
    fair market value would be 37 percent higher but-for the MRRP using my rebuttal report
    98
    estimates and using Dr. Evans’ estimate.” Tr. 3188:4-16. The court is therefore satisfied
    that Dr. Babcock’s more conservative estimates are appropriate for plaintiffs’
    representative properties.
    Finally, the court rejects the government’s assertion that the representative
    plaintiffs have failed to carry their burden of proof regarding diminution in value, and
    that, therefore, the plaintiffs’ should be awarded no damages. Tr. 3513:1-3 (government
    arguing that the court should award “either zero or nominal damages”). Here, the
    government’s expert Dr. Evans acknowledges that the MRRP caused a reduction in crop
    yields across plaintiffs’ properties. It cannot be the case that this reduction in crop yields
    did not negatively affect the value of the representative properties, which are utilized as
    farmlands. The government did not provide its own estimate of the diminution in fair
    market value. And the plaintiffs have presented a credible methodology for calculating
    damages to a reasonable approximation. In these circumstances, the court will award
    damages. See Banks, 721 F. App’x at 940-41 (“It cannot be the case that acres of
    property are lost to erosion and the value of that total property is not affected.”).
    For these reasons, the court holds, based on its review of the evidence, that the
    diminution in value of the plaintiffs’ representative tracts are as follows: Adkins, 27.5
    percent; Ideker, 30 percent; Buffalo Hollow, 30 percent. Translated into dollar values,
    the court values just compensation for the taking of a permanent flowage easement across
    the representative plaintiffs’ properties as follows: Adkins, $1,530,268; Ideker,
    $3,698,887; Buffalo Hollow, $1,868,928. Tr. 1012:5-10 (Ideker), 1012:20-25 (Buffalo
    Hollow), 1013:13-15 (Adkins).
    99
    B.     Compensation for Lost Crops and Other Costs
    Having determined the value of the permanent flowage easements, the court next
    turns to the question of what, if any, other damages plaintiffs are entitled to due to the
    flooding of their properties caused by the MRRP. As discussed below, the court
    concludes – with one exception – that all other damages the plaintiffs seek are
    consequential damages and are therefore not compensable.
    The Fifth Amendment provides the right to just compensation for property taken,
    not “damages” that are the “proximate result” of the government’s action. Yuba Nat.
    Res., Inc. v. United States, 
    904 F.2d 1577
    , 1581 (Fed. Cir. 1990) (“It is a well settled
    principle of Fifth Amendment taking law . . . that the measure of just compensation is the
    fair value of what was taken, and not the consequential damages the owner suffers as a
    result of the taking.”); see also Kirby Forest, 
    467 U.S. at 15
     (just compensation is “the
    fair market value of the property on the date it is appropriated” and “[u]nder this
    standard, the owner is entitled to ‘what a willing buyer would pay in cash to a willing
    seller’ at the time of the taking.” (internal citations omitted)); United States v. General
    Motors, 
    323 U.S. 373
    , 380 (1945) (“[T]hat which is taken or damaged is the group of
    rights which the so-called owner exercises in his dominion of the physical thing, and that
    damage to those rights of ownership does not include losses to his business or other
    consequential damage.” (footnote omitted)). Thus, “not all losses suffered by the owner
    are compensable under the Fifth Amendment.” U.S. ex rel. Tennessee Valley Auth. v.
    Powelson, 
    319 U.S. 266
    , 281 (1943).
    100
    In the case of a partial taking, compensation may include the diminished value to
    the remaining portion of land, called “severance damages,” as well as the value of the
    portion of land taken. Miller, 
    317 U.S. at 375-76
    ; Ga. Pac. Corp., 640 F.2d at 336. “The
    cost to cure – or the cost of mitigating damages caused by the taking – provides an
    alternative means of quantifying severance damages.” Childers v. United States, 
    116 Fed. Cl. 486
    , 497 (2013).
    As discussed above, there exist alternative ways to assess and calculate the
    compensation owed to a landowner for governmental interference with the use of
    property. See Otay Mesa, 670 F.3d at 1369 (holding “there can in principle be an
    appropriate alternative valuation measure to the ‘before-and-after’ method in a given
    takings case”); Ridge Line, 
    346 F.3d at 1359
     (“damages may be assessed based on Ridge
    Line’s cost in constructing prudent flood control measures”); Vaizburd v. United States,
    
    67 Fed. Cl. 499
    , 501-02 (2005) (“the ‘cost of cure’ approach to recovery in a takings case
    is an alternative to computing damages through diminished market value”). But those
    alternatives should not be used to award damages above and beyond what was taken.
    Here, plaintiffs are alleging damages above and beyond the value of the flowage
    easement that the government has taken. In particular, the plaintiffs allege through the
    testimony of their damages expert, Dr. Bateman,29 crop losses and lost profits based on
    reduced yields, damage to structures, damages to equipment, flood prevention expenses,
    29
    Dr. Bateman received his B.S. in economics from the University of Utah in 1960, and his
    Ph.D. in economics from MIT in 1965 with a special emphasis on price theory as applied to
    financial and agricultural commodity markets, econometrics. Tr. 563:19-564:2; PX3214 (Dr.
    Bateman’s CV).
    101
    and flood reclamation expenses. Tr. 577:3-578:8; Tr. 610:25-614:4; Tr. 573:23-574:2;
    Tr. 728:4-21. However, these are consequential damages that are an indirect result of the
    taking of the flowage easement. It is improper to both claim compensation for
    diminution in value and claim compensation for these consequential damages. See Yuba
    Nat. Res., Inc., 
    904 F.2d at 1581-82
     (“[Plaintiff’s] claim for the difference in the value of
    the gold during the taking period and after the taking is precisely the kind of claim for
    consequential damages—here, lost profit—that is not an appropriate element of just
    compensation for the temporary taking of the property.”); Childers, 116 Fed. Cl. at 600
    (noting consequential damages include “loss of business, relocation expenses, and the
    like”); R.J. Widen Co. v. United States, 
    357 F.2d 988
    , 993-94 (Ct. Cl. 1966) (holding that
    there was no Fifth Amendment taking for “incidental spoliation of the plaintiff’s
    inventory and equipment, the reduction or loss of its good will and profits, and the
    expenses incurred in having to readjust its manufacturing operations”).
    Relying on Dickinson, the plaintiffs argue that the government is liable for both
    “the land which it permanently floods as well as that which inevitably washes away as a
    result of that flooding.” Pls.’ Resp. at 29 (quoting Dickinson, 
    331 U.S. at 750
    ).
    However, plaintiffs quote Dickinson out of context. In discussing “that which inevitably
    washes away as a result” of flooding, the Court in Dickinson was addressing additional
    land that had eroded as a consequence of government-induced flooding, not crops,
    structures, or equipment incidentally damaged by the flooding. Plaintiffs reliance on
    Dickinson is thus misplaced.
    102
    Plaintiffs also cite Ridge Line for the proposition that the court must award “all
    damages, past, present, and prospective.” Pls.’ Br. at 119 (quoting Ridge Line, 
    346 F.3d at 1359
    ); Pls.’ Resp. at 29. However, Ridge Line does not discuss consequential
    damages, but instead affirms that flood control measures may be used as an alternative
    method of calculating just compensation. 
    346 F.3d at 1358-59
    . This selective quote in
    Ridge Line does not support plaintiffs’ claim for lost crops and other incidental
    damages.30 For these reasons, the court will not award the damages claimed by plaintiffs
    above and beyond the diminution in value of their property.31
    The court will, however, award severance damages for the repair of the Ideker
    levee in 2010. See Tr. 238:3-13 (Mr. Ideker describing levee repair efforts). In the Phase
    I opinion, the court held that in 2010, the flooding on the Ideker property was “due to
    levee overtopping that would not have occurred without the System and River Changes.”
    Ideker I, 136 Fed. Cl. at 748 (citing PX2554). In other words, the destruction of this
    30
    Moreover, even if the court were to consider these additional damages, just compensation
    would only include an amount “proportionate to the government’s quantitative contributions” to
    the damage incurred. Ridge Line, 
    346 F.3d at 1359
    . Unlike the government’s expert Dr. Evans,
    plaintiffs have not apportioned crop losses (or other costs) to the increment of flooding caused by
    the Corps’ actions under the MRRP. See Tr. 3283:18-24. The Court of Claims in Barnes also
    recognized that the plaintiffs there could possibly be compensated for the value of “mature”
    crops destroyed on the date of taking, but not “immature” crops. 538 F.2d at 874. The
    representative plaintiffs have not presented any evidence with specificity regarding this
    distinction between immature and ready-to-harvest crops that would allow the court to make an
    award.
    31
    The government argues that even if the plaintiffs are entitled to just compensation for crop
    losses, just compensation requires offsetting those losses by payments received by the plaintiffs
    based on various federal-backed crop insurance programs. Def.’s Br. at 165-67. Because the
    court has declined to award the plaintiffs damages for crop loss, the court does not address this
    argument.
    103
    levee is entirely attributable to the government’s actions. In addition, the court finds that
    the repair of the levee is properly considered as a severance damage assumed to protect
    the remainder of the property. See Ideker I, 136 Fed. Cl. at 747 (“The property is
    protected by a private levee built by plaintiff.”). Compensation for this damage may be
    measured by the mitigation cost of rebuilding the levee. See Childers, 116 Fed. Cl. at
    497; Miller, 
    317 U.S. at 375-76
    . This levee repair occurred during the period of taking,
    which, as discussed above, the court finds began in 2007. The court therefore holds that
    the Ideker plaintiffs are entitled to the cost of levee repair in 2010 in the amount of
    $1,032,338 without interest. Tr. 238:3-13 (Ideker); Tr. 661:4-13 (Bateman) (describing
    $823,123 to rebuild the levee and $209,225 in fuel costs, which together add to
    $1,032,338).
    C.      Interest Rates
    Finally, the court must determine the appropriate interest rate to apply to the just
    compensation award described above. In doing so, “the court is to choose an interest rate
    that puts the property owner in as good a financial position as if the compensation were
    given concurrently with the taking.” Textainer Equip. Mgmt. Ltd. v. United States, 
    115 Fed. Cl. 708
    , 719 (2014) (citing Kirby Forest, 
    467 U.S. at 10
    ); see also NRG Co. v.
    United States, 
    31 Fed. Cl. 659
    , 670 n.8 (1994) (observing that “the point” of determining
    interest rates “is not which approach yields a higher or lower payment, but rather which
    approach is the more accurate measure of the economic harm to property owners”).
    The “guiding principle” used to determine the appropriate interest rate to apply to
    takings claims is the “Prudent Investor Rule,” which examines “how a reasonably
    104
    prudent person would have invested the funds owed by the government to produce a
    reasonable return while maintaining safety of principal.” Sears v. United States, 
    124 Fed. Cl. 730
    , 734-35 (2016) (internal quotation marks and alterations removed). Notably,
    prior courts have recognized that the Prudent Investor Rule contemplates investments
    with “minimal risk,” and have rejected proposed rates based on volatile investments.
    Sears, 124 Fed. Cl. at 735 (rejecting rate premised on a diversified mutual fund with
    volatility of 7.4 percent for failing to comport sufficiently with the “minimal risk”
    criterion).
    Here, the parties disagree on the proper marker for investments that comply with
    the Prudent Investor Rule. The representative plaintiffs present two options for the
    court’s consideration. Plaintiffs first argue that a mix of stocks and bonds evinces the
    appropriate interest rate. In support, plaintiffs offered testimony from plaintiffs’ damages
    expert, Dr. Bateman, who recommended a bond equity combination utilizing the iShares
    Core U.S. Aggregate Bond Exchange Traded Funds (the “ETF”) by Blackrock and the
    SPY Fund, which was created in 1993 by State Street Corporation in cooperation with the
    American Stock Exchange and provides a rate of return of 3.5 to 4 percent. Tr. 629:19-
    24. Dr. Bateman argued that the ETF best adheres to the Prudent Investor Rule as its
    mixture of bonds and stocks speaks to “the principles of diversity and balance” which are
    “key to managing risk.” Tr. 627:23-628:3. As an alternative, the representative plaintiffs
    propose using the Moody’s Composite Index of Yields on Aaa Long-Term Corporate
    Bonds (the “Moody’s rate”), which provides a rate of return of 1.7 percent. Tr. 618:13-
    619:17. Dr. Bateman acknowledges that the Moody’s rate “has been recognized by the
    105
    Court of Federal Claims as an appropriate index for satisfying the [Prudent Investor
    Rule].” Tr. 624:23-625:1.
    The government disagrees with both of plaintiffs’ proposed rates, maintaining
    instead that government bonds provide the appropriate measure of interest. In support,
    the government offered the testimony of Dr. Sunding, who opined that, from an
    economics perspective, the proper interest rate to apply is the yield on one-year Treasury
    bonds (described as the “T-bond rate”), a “risk-free rate of return.” Tr. 2842:12-15. Dr.
    Sunding maintains that using a risk-free rate of return to calculate interest is appropriate
    here because “[t]he conversion of past losses into current period damages doesn’t require
    the Plaintiffs to take on any additional risk.” Tr. 2843:4-9. Indeed, Dr. Sunding states
    that doing otherwise would be “inappropriate as a matter of economics.” Id.
    While the court acknowledges that others have tied the interest rate to the T-bond
    rate in other takings cases, “the prudent-investor rule does not require that a reference be
    made only to a rate of interest on Treasury securities where the United States is the
    defendant.” Indep. Park Apartments v. United States, 
    61 Fed. Cl. 692
    , 717 (2004), rev’d
    on other grounds, 
    449 F.3d 1235
     (Fed. Cir. 2006). Indeed, other courts have recognized
    a recent “consensus” reached among the Court of Federal Claims “that the Moody’s rate
    is the appropriate benchmark by which to award delay damages” for takings claims.
    Tech. College of the Low Country v. United States, 
    147 Fed. Cl. 364
    , 370 (2020) (quoting
    Hardy v. United States, 
    138 Fed. Cl. 344
    , 356 (2018)); see also Adkins v. United States,
    Nos. 09-503L, 02-241L, 09-158L, 
    2014 WL 448428
    , at *2 (Fed. Cl. Feb. 4, 2014)
    (applying the Moody’s rate to delay damages arising from a 2003 taking); Biery v. United
    106
    States, Nos. 07-693L, 07-675L, 
    2012 WL 5914521
    , at *4 (Fed. Cl. Nov. 27, 2012)
    (applying the Moody’s rate to delay damages arising from a 2007 taking); Sears, 124
    Fed. Cl. at 736-37 (applying the Moody’s rate to delay damages arising from a taking that
    occurred after February 2016). The court sees no reason to stray here. Accordingly, the
    court concludes that the Moody’s rate is the appropriate measure of interest. See Pitcairn
    v. United States, 
    547 F.2d 1106
    , 1124 (1976) (“[L]ong-term corporate bond yields are an
    indicator of broad trends and relative levels of interest rates. They cover the broadest
    segment of the interest rate segment.”).
    The court further finds that it is appropriate to compound interest annually. As
    repeatedly acknowledged by this court and others, “[p]rudent investment practices
    compel the compounding of interest” as “no prudent, commercially reasonable investor
    would invest at simple interest.” Tech. College of the Low Country, 147 Fed. Cl. at 370
    (quoting Brunswick Corp. v. United States, 
    36 Fed. Cl. 204
    , 219 (1996)). But, the parties
    dispute the timeline on which interest should be compounded. The representative
    plaintiffs maintain that interest should be compounded quarterly; the government
    maintains that interest should be compounded annually. Neither presents substantive
    arguments to support its approach. Without meaningful guidance, the court elects to
    follow its prior decisions in Textainer, 115 Fed. Cl. at 719, Adkins, 
    2014 WL 448428
     at
    *2, and Biery, 
    2012 WL 5914521
     at *5, and concludes that interest in this case should be
    compounded annually.
    The interest rates adopted by the court should be applied for the Ideker levee as of
    the date that those costs were incurred and for the diminution in fair market value as of
    107
    December 31, 2014, the accrual and valuation date. See Tech. College of the Low
    Country, 147 Fed. Cl. at 367 (“Any delay in payment of . . . just compensation entitles
    the property owner ‘to interest thereon sufficient to ensure that he is placed in as good a
    position pecuniarily as he would have occupied if the payment had coincided with the
    appropriation.’” (quoting Kirby Forest, 
    467 U.S. at 10
    )).
    V.     CONCLUSION
    Based on the foregoing, the court finds that the government’s actions under the
    MRRP and the flooding of the three representative plaintiffs’ properties constitutes the
    taking of a permanent flowage easement under the Fifth Amendment, and that the
    plaintiffs are entitled to just compensation for that taking. The parties are directed to file
    a joint status report with a proposed judgment consistent with this opinion, to include the
    amount of just compensation due to plaintiffs with interest, by January 15, 2021.
    IT IS SO ORDERED.
    s/Nancy B. Firestone
    NANCY B. FIRESTONE
    Senior Judge
    108