Climate-Crop model document

Author

Parsa Khayatzadeh

Published

October 1, 2024

Overview

  • A process based crop model (Feng et al. 2023)
  • calibrated for 14 crops (Cereals, roots, vegetables, and fruits)
Feng, Xinyao, Haoliang Tian, Jiahui Cong, and Chuang Zhao. 2023. “A Method Review of the Climate Change Impact on Crop Yield.” Frontiers in Forests and Global Change 6: 1198186.

Limitations:

  • Lack of response to vernalization and photoperiod effect on phenology
  • Not including nutrient dynamics (Shmelev et al. 2021)
Shmelev, Stanislav E., Vitaliy Salnikov, Galina Turulina, Svetlana Polyakova, Tamara Tazhibayeva, Tobias Schnitzler, and Irina A. Shmeleva. 2021. “Climate Change and Food Security: The Impact of Some Key Variables on Wheat Yield in Kazakhstan.” Sustainability 13 (15). https://doi.org/10.3390/su13158583.

Inputs

To simulate a new crop with the SIMPLE model in the R version frameworks, weather parameters, soil indexes, new crop species and cultivars parameters, irrigation, management and treatment data are required.

The weather parameters include SRAD, RAIN, TMAX and TMIN [31].

The species parameters include Tbase, I50maxH, I50maxW, Topt, Tmax, RUE, Text, SWater and SCO2 [25].

In brief, Tbase and Topt are the base and optimal temperature for biomass growth, respectively (°C). I50maxH and I50maxW are the maximum daily reduction in I50B due to heat stress and water stress, respectively. RUE means the radiation use efficiency (above ground only and without respiration). Tmax is the threshold temperature to start accelerating senescence from heat stress. Text is the extreme temperature threshold when RUE becomes 0 owing to heat stress (°C), SCO2 is the crop-specific sensitivity of RUE to elevated CO2, and SWater is the sensitivity of RUE to the ARID index, which is a standardized index ranging from 0 (no water shortage) to 1 (extreme water shortage and associated drought stress)(Y. Li et al. 2022).

Figure 1: From Calibration and Evaluation of the SIMPLE Crop Growth Model Applied to the Common Bean under Irrigation.  Relational diagram of the SIMPLE crop growth model. State variables are represented by rectangles, rates of change by valves, parameters with a horizontal line and a circle with black filling, input variables with a circle and a horizontal line and auxiliary variables with circles. Material flows are represented by normal arrows and information flows with dashed lines. (Servín-Palestina et al. 2024)
Servín-Palestina, Miguel, Irineo López-Cruz, Jorge A. Zegbe, Agustín Ruiz-García, Raquel Salazar-Moreno, and José Ángel Cid-Ríos. 2024. “Calibration and Evaluation of the SIMPLE Crop Growth Model Applied to the Common Bean Under Irrigation.” Agronomy 14 (5). https://doi.org/10.3390/agronomy14050917.

SIMPLE Model Generic Coefficients

Table 1: SIMPLE Model Generic Coefficients
(a) Cultivar Parameters
Parameter Description
\(T_{sum}\) Cumulative temperature requirement from sowing to maturity (°C days)
HI Potential harvest index
I50A Cumulative temperature requirement for leaf area development to intercept 50% of radiation (°C days)
I50B Cumulative temperature till maturity to reach 50% radiation interception due to leaf senescence (°C days)
(b) Species Parameters
Parameter Description
\(T_{base}\) Base temperature for phenology development and growth (°C)
\(T_{opt}\) Optimal temperature for biomass growth (°C)
RUE Radiation use efficiency (aboveground only and without respiration) (g MJ(^{-1}) m(^{-2}))
I50maxH The maximum daily reduction in I50B due to heat stress (°C days)
I50maxW The maximum daily reduction in I50B due to drought stress (°C days)
\(T_{max}\) Threshold temperature to start accelerating senescence from heat stress (°C)
\(T_{ext}\) The extreme temperature threshold when RUE becomes 0 due to heat stress (°C)
SCO2 Relative increase in RUE per ppm elevated CO(_2) above 350 ppm
Swater Sensitivity of RUE (or harvest index) to drought stress (ARID index)
Table 2: Equations of the SIMPLE model
Description Equation
\(f_{Solar}\) for leaf growth and senescence period is based on the Beer–Lambert law, \(f_{solar\_max} = 0.96\) \(f_{Solar} = \begin{cases} \frac{f_{solar\_max}}{1 + e^{-0.01(TT - I_{50A})}}, & \text{leaf growth period} \\ \frac{f_{solar\_max}}{1 + e^{-0.01(TT - (Tsum - I_{50B}))}}, & \text{leaf senescence period} \end{cases}\)
The impact of temperature on the growth rate of biomass \(f(\text{Temp}) = \begin{cases} 0, & T < T_{base} \\ \frac{T - T_{base}}{T_{opt} - T_{base}}, & T_{base} \le T < T_{opt} \\ 1, & T \ge T_{opt} \end{cases}\)
The impact of heat stress on the biomass growth rate \(f(\text{heat}) = \begin{cases} 1 - \frac{T_{max} - T_{heat}}{T_{ext} - T_{heat}}, & T_{max} \le T_{heat} \\ 0, & T_{max} > T_{extreme} \end{cases}\)
The cumulative temperature required to achieve 50% radiation interception during canopy senescence (\(I_{50B}\)) is increased by heat stress \(I_{50B_{i+1}} = I_{50B_i} + I_{max, \text{heat}} \cdot (1 - f(\text{heat}))\)
The impact of \(\text{CO}_2\) on the RUE \(f(\text{CO}_2) = \begin{cases} \frac{1 + S_{CO_2} \cdot (\text{CO}_2 - 350)}{1 + S_{CO_2} \cdot 350}, & 350 \, \text{ppm} \le \text{CO}_2 < 700 \, \text{ppm} \\ \text{CO}_2 > 700 \, \text{ppm} \end{cases}\)
Drought stress based on water retention \(f(\text{water}) = 1 + S_{\text{water}} \cdot (\text{ARID})\)
Standardized Drought Stress Index \(\text{ARID} = 1 - \frac{\min(ET_0, 0.096 \cdot \text{PAW})}{ET_0}\)
Drought stress reduces RUE \(I_{50B_{i+1}} = I_{50B_i} + I_{max, \text{water}} \cdot (1 - f(\text{water}))\)
Radiation interception affected by drought stress \(f_{Solar\_water} = \begin{cases} 0.9 + f(\text{water}), & f(\text{water}) < 0.1 \\ 1, & f(\text{water}) \ge 0.1 \end{cases}\)

Applications

  • Spatiotemporal Uncertainty and Sensitivity Analysis of the SIMPLE Model Applied to Common Beans for Semi-Arid Climate of Mexico:link
    the SIMPLE model for the Pinto Saltillo bean variety crop (Servin-Palestina et al. 2022)
    “On the other hand, the Swater parameter relates to water availability and its effect on biomass production [25]. Beebe et al. [65] note that the irrigation sheet (Lr) for bean production is from 300 to 500 mm. This indicates that sheets close to these values would have lower Swater STi values. However, at the EMAN station in 2005, maximum values of 427.2 mm and 139.5 mm were recorded, and at the ALPINO station in 2015, 202 3 and 340.3 mm of Lr and Pe, respectively, were recorded. Effective precipitation has a greater influence on the Swater parameter than that of water stored in the soil (Lr plus Pe). Pp is the input variable with the greatest effect on Swater due to its stochastic distribution in time and space. (Servin-Palestina et al. 2022)

  • Adaptation of the SIMPLE Model to Oilseed Flax (Linum usitatissimum L.) for Arid and Semi-Arid Environments: (Y. Li et al. 2022) Link

    • Species parameters data: Table 3 (a) Data were obtained from:
      • Tiver, N.S.; Williams, R.F. Studies of the flax plant. II. The effect of artificial drought on growth and oil production in a linseed variety. Aust. J. Exp. Biol. Med. Sci. 1943, 21, 202.
      • Gusta, L.V.; O’Connor, B.J.; Bhatty, R.S. Flax (Linum usitatissimum L.) responses to chilling and heat stress on flowering and seed yield. Can. J. Plant Sci. 1997, 77, 97–99.
      • Li, X.; Fang, Z.; Niu, J. Study on configuration fabric and germination conditions of flax seed. Seed 2012, 31, 26–30.
      • Kraft, J.M.; Kommedahl, T.; Linck, A.L. Histological study of malformation in flaxseed after exposure to 31 °C. Bot. Gaz.
      • Darapuneni, M.; Morgan, G.D.; Ibrahim, A.M.H.; Duncan, R.W. Effect of vernalization and photoperiod on flax flowering time. Euphytica 2014, 195, 279–285.
      • Yermanos, D.M.; Goodin, J.R. Temperature effects: On vegetative growth and oil quality of FLAX. Calif. Agric. 1965, 19, 15–16.
    • Soil data Table 3 (b):
      • National Soil Survey Office (NSSO). Chinese Soil; China Agriculture Press: Beijing, China, 1998; pp. 32–140. (Zhao et al. 2019; Soil 1998)
Servin-Palestina, Miguel, Irineo L. López-Cruz, Jorge A. Zegbe-Domínguez, Agustín Ruiz-García, Raquel Salazar-Moreno, and Guillermo Medina-García. 2022. “Spatiotemporal Uncertainty and Sensitivity Analysis of the SIMPLE Model Applied to Common Beans for Semi-Arid Climate of Mexico.” Agronomy 12 (8). https://doi.org/10.3390/agronomy12081813.
Soil, China. 1998. “National Soil Survey Office.” Beijing: China Agricultural Press. Google Scholar.
Table 3: Input sources used in the Y. Li et al. (2022)
(a) The SIMPLE model species parameters of flax (Y. Li et al. 2022)
Parameter Unit Value Source of Data
T_base °C 4.5–5 (Yu, Li, and Wang 2003)
T_opt °C 20–25 (Yu, Li, and Wang 2003), (X. Li, Fang, and Niu 2012)
RUE g MJ^-1 m^-2 0.86–1.09 Calibrated
I50_maxH °C day 110 ± 2 Calibrated
I50_maxW °C day 18 ± 2 Calibrated
T_max °C 36 (Kraft, Kommedahl, and Linck 1963)
T_ext °C 45 (Kraft, Kommedahl, and Linck 1963)
S_CO2 0.07 (Zhao et al. 2019)
S_water 0.9 (Zhao et al. 2019)
Yu, ZW, HP Li, and P Wang. 2003. “Crop Cultivation.” China Agr. Press, Bei Jing.
Li, X, Z Fang, and J Niu. 2012. “Study on Configuration Fabric and Germination Conditions of Flax Seed.” Seed 31: 26–30.
Kraft, John M, Thor Kommedahl, and AJ Linck. 1963. “Histological Study of Malformation in Flax Seed After Exposure to 31⚬ c.” Botanical Gazette 124 (5): 367–71.
Zhao, Chuang, Bing Liu, Liujun Xiao, Gerrit Hoogenboom, Kenneth J. Boote, Belay T. Kassie, Willingthon Pavan, et al. 2019. “A SIMPLE Crop Model.” European Journal of Agronomy 104: 97–106. https://doi.org/https://doi.org/10.1016/j.eja.2019.01.009.
(b) The SIMPLE model soil parameters of flax (Y. Li et al. 2022)
Li, Yue, Gerrit Hoogenboom, Senthold Asseng, Jun-Yi Niu, Ling Wu, and Liang-He Kang. 2022. “Adaptation of the SIMPLE Model to Oilseed Flax (Linum Usitatissimum l.) for Arid and Semi-Arid Environments.” Agronomy 12 (6). https://doi.org/10.3390/agronomy12061267.
Sites Soil Type Soil Texture Soil Depth (cm) AWC (mm) RCN DDC RZD (mm)
Dingxi Dark Loessial soil Clay loam 0–21 0.12 80 0.3 700
Wulanchabu and Datong Castanozems Clay loam 0–40 0.19 75 0.3 1300
Zhangjiakou Sandy loam Sandy clay loam 0–20 0.13 75 0.6 550

AWC—fraction of the plant’s available water-holding capacity, one number for the entire soil profile (limited by potential root depth); RCN—runoff curve number; DDC—deep drainage coefficient; RZD—root zone depth (mm); Soil Depth—tillage layer (cm). Data were obtained from reference.

  • Rice Growth and Yield Responses to Climate Variabilities and Scenarios: Link(Suliansyah et al. 2023)

    • All parameters taken from SIMPLE (SWater=1)
Suliansyah, Irfan, Feri Arlius, Irawati Chaniago, Nguyen Thi Thanh Xuan, Nguyen Tran Nhan Tanh, Pham Van Quang, et al. 2023. “Rice Growth and Yield Responses to Climate Variabilities and Scenarios.” Trends in Sciences 20 (2): 6390–90.

Visual Outputs

NEW figures: Box Plots for “Projects”

Rain Variability Boxplot

SRAD Variability Boxplot

TMAX Variability Boxplot

TMIN Variability Boxplot

Yield Variability Boxplot

Anual data: mean of climate and crop yield over all locations

Annual Mean Rain

Annual Mean Rain

Annual Mean Rain

Output Table

Table: Climate and Crop Yield Data
Year Scenario annual_mean_yield harvest_mean_tmax harvest_mean_tmin harvest_mean_srad harvest_mean_rain
1950 historical 1325.4388 26.35081 6.084422 32.04499 0.0548766
1951 historical 2220.7857 27.56899 8.087631 30.60005 0.1625454
1952 historical 1883.6327 27.09302 7.527799 30.84640 1.0526666
1953 historical 1344.2347 25.35951 7.172651 30.36764 0.4539858
1954 historical 1437.8367 26.09102 7.543884 29.59783 0.9300477
1955 historical 1931.3980 27.24333 7.249381 31.69377 0.4089834
1956 historical 1564.9082 26.58520 6.421479 31.47420 0.2602627
1957 historical 2409.8980 29.13953 8.517511 31.15848 0.1920103
1958 historical 1453.5102 25.77082 6.985042 30.93644 0.2720870
1959 historical 1099.8878 25.23345 6.587615 30.47003 0.4767280
1960 historical 2289.5816 27.40836 8.127731 31.28328 0.2331870
1961 historical 760.0612 24.46444 5.289156 30.53691 0.2869113
1962 historical 1507.0306 26.58452 6.572912 31.03217 0.0373410
1963 historical 1918.7449 27.08589 7.433415 31.40402 0.2372630
1964 historical 1580.1633 26.32827 7.394168 30.27213 0.3717472
1965 historical 1945.3265 27.06005 7.743489 30.60979 0.2857767
1966 historical 781.4388 24.49955 5.800241 30.56397 0.4687010
1967 historical 892.6633 25.08072 5.770978 31.15358 0.0588268
1968 historical 2086.4592 27.32632 7.844569 31.18114 0.0698261
1969 historical 2168.1224 28.32558 7.333622 31.65397 0.1320458
1970 historical 1630.0102 26.30872 7.225861 31.16090 0.1401368
1971 historical 2598.2755 28.54225 8.214186 31.33362 0.2556481
1972 historical 1143.3265 25.49889 5.993534 31.26942 0.3068641
1973 historical 1606.6939 26.26692 7.450865 30.66585 0.6783102
1974 historical 1973.9286 28.07852 6.923657 32.42329 0.0477148
1975 historical 1204.3980 24.82327 7.002615 29.95570 1.0629305
1976 historical 1255.5816 26.27586 6.272390 31.03176 0.3645621
1977 historical 1749.1837 26.11751 8.045878 30.39044 0.4293698
1978 historical 1008.6531 24.09293 6.754530 29.90249 0.5408785
1979 historical 1010.9184 24.42332 6.525564 29.82480 0.6616787
1980 historical 2711.3061 28.39230 8.644507 31.22436 0.1247467
1981 historical 1145.8469 25.10311 6.912130 30.33508 0.9073696
1982 historical 1699.8469 27.08782 7.412079 30.94877 0.1428439
1983 historical 1410.4898 25.81735 6.899134 30.98009 0.2020658
1984 historical 2296.7041 28.12881 7.310389 32.16511 0.0028933
1985 historical 1200.5510 25.87643 5.896053 31.61304 0.3142430
1986 historical 1490.3163 25.87961 7.188926 30.59886 0.1959534
1987 historical 812.3163 24.12764 5.815208 30.49642 0.9135712
1988 historical 1971.7143 26.92719 7.598730 31.19891 0.1221592
1989 historical 1056.4694 24.97434 6.821155 30.01398 1.0333269
1990 historical 1173.0000 25.42665 6.622219 30.90595 0.2238090
1991 historical 2802.0408 28.69038 9.346045 30.18141 0.4771819
1992 historical 1838.5408 26.54161 7.986028 30.19934 0.9361109
1993 historical 1807.5102 26.51555 7.788081 30.68432 0.1861473
1994 historical 1905.3469 26.72130 8.030767 30.11442 0.4591594
1995 historical 1320.9490 25.38231 7.224867 30.63994 0.3728592
1996 historical 3516.3878 30.36607 9.584011 31.61091 0.0318158
1997 historical 1204.0510 24.71838 7.073958 29.94449 0.9036708
1998 historical 1259.1122 25.86432 6.346644 31.15003 0.2202536
1999 historical 2257.0816 28.62333 7.656728 32.01842 0.0834131
2000 historical 1554.3367 26.31376 7.408514 30.28593 0.4084884
2001 historical 1650.4388 27.28516 6.513602 31.47283 0.1074741
2002 historical 1112.1531 25.33473 5.845101 31.18090 0.3763204
2003 historical 2764.9286 28.86795 9.005628 30.79904 0.3324563
2004 historical 1802.2755 26.69207 7.551070 30.85726 0.6457934
2005 historical 2931.7653 29.41020 8.989190 30.91325 0.1247162
2006 historical 2417.4694 28.46738 7.820907 31.45171 0.1018702
2007 historical 2244.0306 28.25422 7.763666 31.33185 0.0254738
2008 historical 2685.5612 28.67386 8.262095 31.58658 0.3837649
2009 historical 1524.8776 26.33171 7.504718 29.99250 0.4691523
2010 historical 2156.4184 26.86874 8.737521 30.56334 0.2869484
2011 historical 1871.5816 26.14320 8.336574 30.14076 0.4070288
2012 historical 1980.4592 26.68107 8.155396 30.37447 0.2160493
2013 historical 1866.3469 26.99889 7.468930 30.93508 0.3228285
2014 historical 2582.1327 28.71443 8.005506 31.50296 0.0692107
2015 ssp126 2121.8776 27.88858 7.250443 31.62057 0.2612164
2016 ssp126 3250.2857 30.12026 9.018738 31.29697 0.0922309
2017 ssp126 2580.9184 28.52382 8.078207 31.75552 0.1270486
2018 ssp126 1824.5306 26.26789 8.210190 30.02496 0.8383474
2019 ssp126 1839.9490 26.54715 8.423963 30.00854 0.4109917
2020 ssp126 1770.7143 26.52954 7.628546 30.08285 0.8209829
2021 ssp126 1955.9184 27.91004 7.506809 31.26455 0.1545613
2022 ssp126 2314.4082 28.54994 7.754909 31.48002 0.1293044
2023 ssp126 2082.1224 27.31384 7.837237 30.97432 0.6984585
2024 ssp126 1929.6633 26.90296 8.280015 29.32415 0.5369162
2025 ssp126 3660.4184 32.07808 10.834061 30.64108 0.0733342
2026 ssp126 2775.9184 29.45753 8.502594 31.88698 0.0263306
2027 ssp126 2509.4286 27.93569 8.861923 30.48403 0.3863282
2028 ssp126 2257.8367 27.77467 8.676152 30.20890 0.4294051
2029 ssp126 3150.5102 28.87423 9.112444 31.43792 0.0597858
2030 ssp126 2232.8776 27.44217 8.680563 30.45793 0.2769803
2031 ssp126 1852.9286 27.11945 8.152322 30.60057 0.3102353
2032 ssp126 3109.0816 28.70268 9.720403 30.16207 0.2759032
2033 ssp126 1964.2449 27.48792 8.317577 30.29495 0.5507718
2034 ssp126 1072.8673 24.77132 6.867556 30.47646 0.8171620
2035 ssp126 2703.8163 28.52631 9.947001 29.66759 0.8278059
2036 ssp126 1814.5102 26.34874 8.123592 29.48698 1.5818033
2037 ssp126 1935.9286 27.29004 8.343371 30.06999 0.7818936
2038 ssp126 1902.6020 27.51157 8.640299 30.29226 0.3883641
2039 ssp126 1817.6531 26.88249 7.265379 31.75445 0.1256293
2040 ssp126 2691.9184 28.48028 9.333432 30.49549 1.1618193
2041 ssp126 1688.5816 26.34132 8.052497 30.60322 0.7304034
2042 ssp126 2644.0510 28.35124 8.358665 30.95417 0.3324325
2043 ssp126 3610.9694 30.28461 9.982286 30.36598 0.3399013
2044 ssp126 2355.0612 27.76086 8.781698 30.26848 0.4384919
2045 ssp126 3179.0612 30.34483 9.652289 31.15645 0.0753433
2046 ssp126 3017.7755 29.07628 9.606012 30.98195 0.1598329
2047 ssp126 2708.5408 29.02257 8.798297 31.46270 0.0793072
2048 ssp126 1688.2653 26.16028 7.812543 30.24226 0.5402580
2049 ssp126 2351.2245 28.01458 8.079705 31.58458 0.1672484
2050 ssp126 3798.6224 30.40652 11.145643 29.65679 0.3039858
2051 ssp126 1917.3980 27.07365 7.749613 30.85833 0.6076390
2052 ssp126 2779.8878 28.82455 8.397786 31.53813 0.1151216
2053 ssp126 2429.4082 28.05622 8.219636 31.34470 0.4634095
2054 ssp126 3001.3265 29.28617 9.886681 30.41353 0.4373183
2055 ssp126 3372.2755 29.29210 9.407486 31.31578 0.1148107
2056 ssp126 2157.8367 28.22895 8.819219 30.46275 0.1891200
2057 ssp126 2245.6531 27.29792 8.332151 31.05219 0.4072047
2058 ssp126 2580.3571 28.98752 8.095478 31.16742 0.0941229
2059 ssp126 2590.5102 28.24761 8.631576 30.77476 0.3355255
2060 ssp126 2287.7347 27.63436 9.184772 29.54728 0.2992718
2061 ssp126 2528.8163 28.37073 8.632089 31.02782 0.3948059
2062 ssp126 2429.5102 27.87186 8.809530 30.17960 0.8250263
2063 ssp126 1954.0102 26.81206 8.307608 29.69493 0.7329930
2064 ssp126 2815.7755 28.49392 8.841502 31.24592 0.0968546
2065 ssp126 3292.4694 30.76329 10.488009 30.55716 0.2406413
2066 ssp126 2646.3163 28.81747 9.617541 30.05298 0.1982101
2067 ssp126 2954.5510 29.84179 9.256219 30.42722 0.1315976
2068 ssp126 3547.5612 30.63238 10.100505 31.32204 0.0392229
2069 ssp126 2941.7653 28.79144 10.001156 29.42552 0.8129275
2070 ssp126 2996.2755 29.83232 8.951408 31.06005 0.1121709
2071 ssp126 3733.6122 30.27606 9.604474 31.76597 0.0338514
2072 ssp126 3210.8571 29.43365 9.319799 31.26201 0.2120757
2073 ssp126 2711.7143 29.29479 9.074058 30.94991 0.0986850
2074 ssp126 4276.2245 30.95605 11.609713 30.12659 0.1188946
2075 ssp126 2579.6020 28.88701 8.280795 31.52667 0.2209146
2076 ssp126 2875.6837 29.56785 9.319312 31.32882 0.1170209
2077 ssp126 2810.1122 29.47903 9.317295 30.88082 0.0556870
2078 ssp126 3310.1531 30.87709 9.979139 30.72713 0.1969709
2079 ssp126 2062.2143 26.78125 8.544311 30.28615 0.2990283
2080 ssp126 2646.7143 29.10047 8.192005 31.55681 0.3060407
2081 ssp126 3158.6224 29.37511 10.375227 29.35784 0.9448125
2082 ssp126 2052.6327 26.75554 8.800658 29.73418 0.7153273
2083 ssp126 2124.3265 28.13570 8.131121 30.73717 0.1694468
2084 ssp126 2992.2653 28.91950 8.970711 31.04437 0.2024226
2085 ssp126 2231.8367 28.17539 7.706511 31.59525 0.1302223
2086 ssp126 2158.4796 28.62945 8.459705 30.49606 0.3170752
2087 ssp126 1963.8061 27.58408 7.559067 30.99592 0.3085119
2088 ssp126 1870.8571 27.37731 8.021398 30.74767 0.3503447
2089 ssp126 2345.2551 28.02198 8.530276 30.96829 0.2100457
2090 ssp126 2399.5612 28.60029 7.512654 31.65883 0.1061921
2091 ssp126 2064.5306 28.42567 8.386990 29.92118 0.3314446
2092 ssp126 1117.7041 24.51004 7.694379 29.20609 1.9346273
2093 ssp126 970.2857 26.24539 5.636125 31.48637 0.3237795
2094 ssp126 2728.9184 28.65802 9.419726 29.95598 0.4514699
2095 ssp126 2566.6939 28.26173 8.500614 30.81062 0.1954526
2096 ssp126 3251.4898 29.89358 9.365646 30.81928 0.1127220
2097 ssp126 2023.5918 26.67663 8.445175 29.82714 0.9122921
2098 ssp126 1955.6633 27.38688 8.011939 30.08241 0.8870685
2099 ssp126 1810.8776 26.65411 7.475127 30.74769 0.1806746
2100 ssp126 1620.9592 26.34287 7.145666 30.72267 0.4662925
2015 ssp245 2430.1429 28.38963 8.792828 30.58955 0.1535468
2016 ssp245 1867.2143 27.61000 7.702312 30.98613 0.1178127
2017 ssp245 2512.9694 28.39786 8.778977 30.94732 0.9918466
2018 ssp245 1482.2347 25.84232 7.458417 30.26420 0.4385163
2019 ssp245 2806.9592 28.52581 8.585808 31.10315 0.2024291
2020 ssp245 1797.0510 27.42376 7.938066 30.69195 0.1572901
2021 ssp245 3039.5204 31.22741 9.526911 31.85508 0.0104556
2022 ssp245 2634.6633 28.29938 9.411786 29.91498 0.4853525
2023 ssp245 1759.9592 27.40072 7.781341 30.86671 0.2827166
2024 ssp245 3240.4184 29.22468 10.681176 30.33335 0.5992636
2025 ssp245 2515.2449 27.79527 8.865001 30.11344 0.2863852
2026 ssp245 3512.8571 30.60066 9.479988 31.51300 0.0225631
2027 ssp245 2618.5102 28.49668 9.350335 30.20766 0.5038378
2028 ssp245 2895.3061 28.47933 9.013849 31.08356 0.4266575
2029 ssp245 1390.7959 25.62699 7.301707 30.49007 0.9098147
2030 ssp245 2931.2143 28.76606 9.159557 31.01879 0.0494624
2031 ssp245 2952.2143 29.14072 9.683454 30.30975 0.3371749
2032 ssp245 2542.2041 27.58265 8.612030 31.33938 0.1197680
2033 ssp245 3178.4490 29.90258 9.496717 31.30435 0.0887082
2034 ssp245 2656.1531 28.06513 9.425831 30.41873 0.5464053
2035 ssp245 2597.7551 28.35740 8.680512 30.90383 0.3433017
2036 ssp245 2445.4490 28.10015 9.423323 30.65269 0.4646416
2037 ssp245 1979.2551 26.84533 8.818709 29.66923 0.3130485
2038 ssp245 2148.9388 27.32593 8.039225 31.26646 0.1769006
2039 ssp245 2025.5612 27.69339 7.335067 31.82087 0.3261499
2040 ssp245 2943.0918 29.88889 9.547659 30.88777 0.1374723
2041 ssp245 2140.5918 27.92482 7.672305 31.15041 0.1284859
2042 ssp245 3633.0408 30.22211 9.854233 31.14392 0.0103914
2043 ssp245 3221.3061 28.69460 10.041121 29.88347 0.5196139
2044 ssp245 2238.0816 27.80394 8.561304 29.97415 0.3050837
2045 ssp245 1713.8163 26.32376 8.354074 30.11314 0.5972974
2046 ssp245 2388.7245 27.45954 8.693261 30.12979 0.8406587
2047 ssp245 2533.6429 28.41147 9.232775 30.33659 0.2631932
2048 ssp245 2680.3469 28.23702 8.684085 30.75149 0.4572504
2049 ssp245 2340.1327 27.37318 8.414592 30.85655 0.4473693
2050 ssp245 2904.4490 28.32514 9.403852 30.73390 0.5144455
2051 ssp245 2980.8061 29.66656 9.065419 30.95559 0.1789287
2052 ssp245 2229.5918 27.18290 8.861885 29.82802 0.6211080
2053 ssp245 2253.2857 27.65543 8.209471 30.85254 0.2559836
2054 ssp245 3946.7347 30.36594 10.386276 31.30487 0.1761820
2055 ssp245 1444.5102 25.91408 7.756965 29.77355 0.6334199
2056 ssp245 3234.7653 29.47406 9.190811 30.85924 0.1222974
2057 ssp245 2308.6122 28.52663 8.102593 31.34732 0.1699972
2058 ssp245 3078.8469 29.06049 9.047322 31.43394 0.2936918
2059 ssp245 3140.7245 29.71570 9.994878 30.14582 0.6407760
2060 ssp245 2246.9592 27.43780 9.085555 29.89933 0.4103127
2061 ssp245 2180.1531 28.31932 7.515433 31.57062 0.1508525
2062 ssp245 2387.3673 27.30447 9.540705 29.56198 0.9958204
2063 ssp245 2915.9082 28.33432 9.405983 30.41837 0.5664716
2064 ssp245 3400.9592 30.51835 9.867595 31.16417 0.1941051
2065 ssp245 2653.8673 29.19943 8.794500 30.68438 0.1357031
2066 ssp245 2891.2143 29.65394 9.901335 30.34952 0.4151944
2067 ssp245 2921.9796 28.54866 9.500914 30.70099 0.6789955
2068 ssp245 2898.5816 29.11294 8.946910 30.81920 0.1803422
2069 ssp245 1943.8673 27.12475 7.615384 31.21699 0.0944816
2070 ssp245 2624.5510 28.63442 8.215926 31.13053 0.1647919
2071 ssp245 2612.5204 28.73331 8.800812 30.39286 0.5150792
2072 ssp245 3634.2857 30.61590 10.428768 30.73078 0.3428600
2073 ssp245 2057.9694 27.95948 8.131850 31.00759 0.3308394
2074 ssp245 3108.5408 30.89002 9.734804 30.53815 0.1063034
2075 ssp245 2165.2551 27.40828 8.674747 30.05364 0.5788297
2076 ssp245 2427.1633 28.84031 8.245846 31.04721 0.2664410
2077 ssp245 1903.5102 26.52225 8.150209 30.14466 0.9710238
2078 ssp245 2876.2653 29.14208 9.081546 30.90107 0.3620864
2079 ssp245 2018.8878 27.29754 8.413355 29.58790 0.4728307
2080 ssp245 2739.8061 28.40636 9.340184 30.09445 0.6762489
2081 ssp245 3011.2653 29.08282 9.329270 30.61785 0.1229387
2082 ssp245 2517.6837 27.95481 9.244728 29.53277 0.8773466
2083 ssp245 2492.2041 28.29340 8.485553 30.71239 0.8483080
2084 ssp245 3174.3061 29.30214 10.048976 30.39870 0.2819270
2085 ssp245 1597.7449 26.19881 8.082985 29.64001 1.5548383
2086 ssp245 2313.3061 28.54632 8.727335 31.21948 0.2555436
2087 ssp245 4177.7449 31.71562 10.985374 31.12501 0.0628499
2088 ssp245 2402.6327 27.36255 10.090313 28.99866 1.3229866
2089 ssp245 2620.7959 28.31054 8.972459 31.21017 0.1659448
2090 ssp245 2561.2143 29.00287 8.964493 31.46987 0.0514879
2091 ssp245 2569.9388 28.33761 8.948845 30.92747 0.3470966
2092 ssp245 2354.2653 28.01890 8.675498 30.53599 0.2675955
2093 ssp245 3185.5204 31.04985 10.807931 31.20711 0.0906998
2094 ssp245 3220.8571 29.88675 9.727090 30.77126 0.0938277
2095 ssp245 2410.3878 28.10707 8.747466 30.82984 0.2600173
2096 ssp245 3911.5816 30.36065 10.006073 31.22776 0.0289236
2097 ssp245 3450.3673 29.86479 10.451892 30.45438 0.5972291
2098 ssp245 2214.7653 28.13131 8.303690 30.60190 0.7798942
2099 ssp245 3962.5204 30.58367 10.959362 29.87441 0.2536108
2100 ssp245 3987.6939 30.23804 11.245591 30.59358 0.4670964
2015 ssp370 2501.3776 28.83499 8.191256 31.82063 0.1441969
2016 ssp370 2406.2551 27.68646 8.378222 30.30416 0.3013392
2017 ssp370 2473.9592 27.91272 9.157224 29.99278 0.2950605
2018 ssp370 2606.4490 28.45361 8.038415 31.55139 0.2324165
2019 ssp370 2907.8776 28.40941 9.951556 30.45353 0.2507556
2020 ssp370 2840.8469 28.19711 9.664430 30.80583 0.5277498
2021 ssp370 2680.7653 28.54721 8.834220 30.53245 0.2013600
2022 ssp370 2791.7755 28.51260 8.442579 31.47842 0.2568048
2023 ssp370 2233.0306 28.28384 7.974323 31.20646 0.3743947
2024 ssp370 2416.2143 27.90364 8.561514 30.60368 0.1085972
2025 ssp370 1857.0000 26.81461 7.848632 30.42007 0.4266411
2026 ssp370 1947.0918 27.04287 8.008499 30.50594 0.3983205
2027 ssp370 2347.9286 28.83421 8.480907 31.26429 0.2818485
2028 ssp370 3331.2245 29.90328 9.369507 31.67163 0.0052535
2029 ssp370 2486.7449 28.72442 8.689853 30.53879 0.2469384
2030 ssp370 2401.2041 28.90937 8.059193 31.45675 0.0690728
2031 ssp370 1538.6939 26.53849 6.634848 31.18625 0.2086020
2032 ssp370 2827.6837 28.73594 8.626157 31.13705 0.2099501
2033 ssp370 2006.3878 27.12664 8.466437 30.26772 0.7658741
2034 ssp370 2625.3367 28.59218 9.517568 30.38016 0.4403277
2035 ssp370 2142.5000 26.79710 8.411225 30.15077 0.3054373
2036 ssp370 3195.1531 29.68047 9.418632 30.89071 0.0906928
2037 ssp370 2559.9796 28.46055 8.819376 30.38629 0.4637688
2038 ssp370 3231.5306 29.43087 9.652726 30.94153 0.0564688
2039 ssp370 3681.6837 29.90443 10.670217 29.89656 0.5062825
2040 ssp370 2098.3980 26.56001 8.770872 30.22095 0.5307225
2041 ssp370 2009.4082 27.14980 8.719312 29.93581 0.4030011
2042 ssp370 2099.9796 27.10557 8.041001 30.91417 0.2547122
2043 ssp370 2847.2857 28.55007 9.568757 30.05931 0.4999230
2044 ssp370 4165.4184 31.41765 10.714884 30.67124 0.6170327
2045 ssp370 1117.2755 24.44911 7.362454 29.29846 1.3723223
2046 ssp370 4739.4388 32.04439 11.590112 30.45968 0.1473727
2047 ssp370 2640.5102 28.75382 8.923297 30.78521 0.1747706
2048 ssp370 3028.5612 28.82537 9.753641 30.41847 0.3417290
2049 ssp370 3042.0102 28.80464 9.564978 29.98957 0.3130894
2050 ssp370 3406.3980 29.40627 9.774065 30.66337 0.1777017
2051 ssp370 2388.4184 28.04500 8.688795 30.48636 0.5579632
2052 ssp370 3283.0102 31.04340 10.348985 30.46285 0.7351938
2053 ssp370 3018.7245 28.43304 9.231436 30.85670 0.2310016
2054 ssp370 2072.1327 28.02982 8.457720 30.70947 0.2682395
2055 ssp370 3628.1939 30.16945 9.797368 31.04533 0.2965397
2056 ssp370 2618.8980 28.53506 9.516679 29.12626 0.7211516
2057 ssp370 2195.8265 27.64831 8.041184 30.90030 0.7867787
2058 ssp370 4416.5408 32.75324 11.736515 30.85381 0.0397298
2059 ssp370 4128.7143 30.72678 10.762244 30.58844 0.2338604
2060 ssp370 2743.3469 28.64857 8.802848 31.23034 0.2039164
2061 ssp370 3932.9592 31.09364 11.615381 29.66534 0.4008503
2062 ssp370 3015.9796 30.45315 9.665536 30.72077 0.2123496
2063 ssp370 4187.1429 33.44722 12.342375 31.41999 0.0719549
2064 ssp370 3383.2653 29.89518 11.321317 30.06173 0.4940144
2065 ssp370 2980.9796 28.81871 9.800808 30.28080 0.2663026
2066 ssp370 3951.9796 31.59840 10.900089 31.40262 0.1188114
2067 ssp370 4669.8571 33.05614 13.386659 29.72350 0.5229723
2068 ssp370 3401.9286 29.41112 10.668368 30.02601 0.6923701
2069 ssp370 3474.9388 30.04661 9.388784 31.40140 0.0440718
2070 ssp370 4258.2347 32.87333 11.969422 30.73674 0.0320812
2071 ssp370 3994.9286 31.49278 10.842564 31.09657 0.0076140
2072 ssp370 3970.7245 30.90332 11.250096 30.74574 0.0850492
2073 ssp370 3977.9082 29.65789 11.260804 30.48617 0.2398183
2074 ssp370 2770.9082 28.64443 8.950587 30.86025 0.8766322
2075 ssp370 3102.1429 29.85964 10.094670 30.82546 0.0817239
2076 ssp370 4270.0612 31.36909 11.029599 30.37756 0.7036704
2077 ssp370 3435.6327 30.39084 10.468756 29.85546 0.3479781
2078 ssp370 3764.3163 30.68752 11.592647 30.26067 0.3370343
2079 ssp370 3742.0816 30.23498 11.226734 29.39260 0.3711953
2080 ssp370 4184.8265 31.65879 12.594793 29.11515 1.1112383
2081 ssp370 3265.1327 29.48378 10.805858 29.95809 0.9836370
2082 ssp370 3771.0714 32.02916 11.826386 30.41051 0.1948404
2083 ssp370 3501.0408 30.15223 10.470042 30.07253 0.2843522
2084 ssp370 5059.6939 32.63147 12.843545 30.12562 0.8671735
2085 ssp370 2835.3776 29.06305 9.277770 30.99149 0.2624925
2086 ssp370 4462.4286 31.81868 12.281062 30.18908 0.3014842
2087 ssp370 3608.0714 30.31318 11.251020 30.53959 0.0606162
2088 ssp370 4687.2653 32.03349 12.753778 30.48193 0.2585746
2089 ssp370 3568.1020 30.28122 11.602747 29.69694 0.7996046
2090 ssp370 2784.8367 28.71708 9.941297 29.57288 1.2449877
2091 ssp370 4186.1020 30.75496 10.825832 31.17649 0.0905460
2092 ssp370 3067.4898 32.57141 12.651461 29.17298 0.3616077
2093 ssp370 3281.4184 29.93222 10.586732 29.47207 0.6462007
2094 ssp370 3193.3265 31.64866 10.672567 30.85502 0.1445177
2095 ssp370 3762.3265 32.69108 11.940652 31.18326 0.0191816
2096 ssp370 4289.0204 31.47738 11.609251 30.66870 0.1849958
2097 ssp370 4624.9388 32.76053 12.444668 31.17776 0.0751646
2098 ssp370 3093.4694 28.85198 10.643060 28.85932 0.6726009
2099 ssp370 4297.8061 32.01836 11.627354 30.70140 0.2882464
2100 ssp370 3608.6327 31.18103 11.498250 30.32162 0.2174526
2015 ssp585 2419.0816 28.80488 9.284330 30.44291 0.3278214
2016 ssp585 3232.0204 29.20718 9.528300 30.87337 0.1663580
2017 ssp585 2944.6429 28.88665 9.063762 31.63544 0.1695125
2018 ssp585 1513.5408 25.59527 7.934133 29.77706 0.5930689
2019 ssp585 2826.7755 28.75174 9.453979 30.27409 0.7203823
2020 ssp585 3306.8776 30.03238 9.313161 31.89172 0.0432148
2021 ssp585 2801.7653 28.43365 9.577668 30.35880 0.1627106
2022 ssp585 1877.3980 27.14938 7.678176 30.49074 0.9100559
2023 ssp585 2718.8776 28.54465 8.325475 31.72521 0.1644968
2024 ssp585 2564.7857 28.51276 8.711012 30.91184 0.1237923
2025 ssp585 1631.5000 26.73909 7.227704 30.64523 0.3646025
2026 ssp585 2614.7959 28.47501 8.823570 31.09837 0.1531791
2027 ssp585 3584.1327 29.40927 10.286976 29.98429 0.2947366
2028 ssp585 1612.1939 26.08830 7.577372 30.80324 0.5547393
2029 ssp585 2887.4796 29.30398 8.138745 32.36034 0.0079725
2030 ssp585 3550.3265 30.32689 9.301231 31.48788 0.0415683
2031 ssp585 3026.4898 29.00767 9.592074 30.32332 0.8371574
2032 ssp585 2202.7143 26.97635 8.348951 31.04143 0.1688777
2033 ssp585 1947.7959 27.14630 7.725254 30.64499 0.2417932
2034 ssp585 3286.6939 30.27324 8.962966 31.81146 0.0442082
2035 ssp585 2506.8571 29.20034 8.506008 30.98695 0.3324142
2036 ssp585 1012.9592 24.96213 5.914030 30.95152 0.4696146
2037 ssp585 3580.9286 30.02015 10.119600 31.32750 0.1686445
2038 ssp585 2374.4796 27.61754 8.812191 30.35185 0.5399365
2039 ssp585 2513.8265 27.75935 8.981975 29.99857 0.2794311
2040 ssp585 2756.3061 28.39936 8.893146 30.97371 0.1500832
2041 ssp585 2286.3571 28.23155 8.695559 30.81214 0.7270427
2042 ssp585 2618.9082 28.07887 9.452368 29.79529 1.9200462
2043 ssp585 2135.7041 26.98130 8.505215 30.19132 0.4796723
2044 ssp585 4382.6735 31.07441 11.096576 30.96381 0.1581679
2045 ssp585 2579.3980 28.10078 9.548539 30.25792 0.3653902
2046 ssp585 2599.7755 28.25549 9.354519 30.70145 0.3023542
2047 ssp585 2519.9184 27.92032 9.117217 30.13453 0.4136573
2048 ssp585 2742.2245 28.51728 9.224213 30.88051 0.2277714
2049 ssp585 3129.9694 30.85230 10.627234 30.69035 0.5055229
2050 ssp585 4418.2653 31.93849 10.985531 31.60733 0.0890291
2051 ssp585 2867.4184 29.25843 9.670035 30.29738 0.2839070
2052 ssp585 2792.5306 30.25265 9.371480 31.15912 0.0696829
2053 ssp585 3390.7041 29.67984 10.021697 30.79405 0.2764682
2054 ssp585 3262.6633 29.22625 11.060921 30.44247 0.4649369
2055 ssp585 2422.3265 27.85934 8.769663 30.74406 0.2082441
2056 ssp585 3426.7041 31.07248 10.528019 30.35002 0.1286590
2057 ssp585 3876.9184 30.64922 10.826551 30.51829 0.1443707
2058 ssp585 2976.4490 29.27350 10.251955 30.11140 0.1815998
2059 ssp585 3287.6224 29.36629 9.540235 30.89047 0.2430253
2060 ssp585 4517.4796 32.57269 13.183222 30.06960 0.1894211
2061 ssp585 4226.5714 30.31971 11.110197 30.68974 0.1866746
2062 ssp585 3485.9592 29.90182 11.023140 29.84113 0.4861905
2063 ssp585 2836.3980 29.13865 9.994072 30.16531 0.3190446
2064 ssp585 2948.1531 29.01995 9.763981 30.76191 0.6770174
2065 ssp585 3656.3469 30.26337 10.564778 30.80566 0.2163439
2066 ssp585 3841.3367 31.50713 11.338518 30.31725 0.2670666
2067 ssp585 2776.7551 29.04246 9.148425 30.70646 0.2207951
2068 ssp585 4009.1735 30.20326 11.213917 30.34055 0.5642248
2069 ssp585 1957.5102 26.32687 8.830847 29.47604 1.7298399
2070 ssp585 3469.8163 29.37807 10.634083 29.95548 0.8947126
2071 ssp585 2953.7143 28.51960 9.543740 29.65220 0.6696056
2072 ssp585 3559.1122 31.56427 10.757035 30.84306 0.2072083
2073 ssp585 3512.8163 30.75508 10.999042 29.70638 0.4140061
2074 ssp585 2606.4898 28.18297 9.189995 30.12099 0.7679698
2075 ssp585 3723.0102 30.49495 10.896691 30.44140 0.1087223
2076 ssp585 4237.5204 31.08249 11.332817 30.14809 0.5784197
2077 ssp585 3781.3367 31.23667 11.635860 30.32859 0.0878551
2078 ssp585 4743.1020 32.21567 12.679974 30.10158 0.2568377
2079 ssp585 2586.4694 28.20947 9.692387 30.04253 1.0746654
2080 ssp585 3881.5612 30.57099 10.686945 30.59326 0.0726120
2081 ssp585 3225.5918 28.62222 11.092521 28.82982 1.2230993
2082 ssp585 4792.7449 31.98928 11.399108 31.52034 0.0464650
2083 ssp585 3388.4286 30.29852 9.843571 31.37758 0.0297047
2084 ssp585 4069.4082 30.51145 11.125427 30.45277 0.0622147
2085 ssp585 4083.9184 30.33028 11.264762 30.41090 0.1124493
2086 ssp585 3223.5306 29.75762 10.814878 29.94066 0.3584757
2087 ssp585 4038.6020 32.86646 12.158190 30.79604 0.1612613
2088 ssp585 4394.9898 33.93513 13.571272 30.17516 0.1752794
2089 ssp585 3746.4388 32.17163 12.112148 30.14500 0.2176087
2090 ssp585 3785.2755 31.53512 10.944773 29.97880 0.2330260
2091 ssp585 3846.0306 31.69329 11.254120 30.49929 0.2958605
2092 ssp585 4349.7959 32.99414 13.069390 30.05394 0.0615755
2093 ssp585 3984.6224 30.95461 11.556529 30.09846 0.5994996
2094 ssp585 3113.7449 30.58121 10.885231 30.27049 0.3501350
2095 ssp585 3298.6633 30.09298 10.950758 29.64150 0.3426546
2096 ssp585 5140.1122 32.80596 12.418885 30.77825 0.3050720
2097 ssp585 3696.1939 31.73013 11.387542 30.52230 0.2805031
2098 ssp585 3309.1837 34.38753 14.351221 30.01768 0.2787347
2099 ssp585 4096.8265 30.88908 11.310051 30.43371 0.2906441
2100 ssp585 4184.9694 30.92981 12.200265 29.77275 0.4701781

climate data: All days of year

climate data: growing season: yy-04 to yy-07

# SIMPLE model applications

Support Material

  • Full Parameterisation Matters for the Best Performance of Crop Models: Inter-comparison of a Simple and a Detailed Maize Model: SSM-iCrop model (Manschadi et al. 2021)

  • Models Calibration and Evaluation: (Ahmed et al. 2020)

Manschadi, AM, J Eitzinger, M Breisch, W Fuchs, T Neubauer, and A Soltani. 2021. “Full Parameterisation Matters for the Best Performance of Crop Models: Inter-Comparison of a Simple and a Detailed Maize Model.” International Journal of Plant Production 15: 61–78.
(a) Figure from Ahmed et al. (2020)
(b) Figure from Ahmed et al. (2020)
Figure 2: Figures from Ahmed et al. (2020)
Ahmed, Mukhtar, Shakeel Ahmad, Muhammad Ali Raza, Uttam Kumar, Muhammad Ansar, Ghulam Abbas Shah, David Parsons, Gerrit Hoogenboom, Taru Palosuo, and Sabine Seidel. 2020. “Models Calibration and Evaluation.” In Systems Modeling, edited by Mukhtar Ahmed, 151–78. Singapore: Springer Singapore. https://doi.org/10.1007/978-981-15-4728-7_5.
  • The Agricultural Model Intercomparison and Improvement Project (AgMIP): Protocols and pilot studies (Rosenzweig et al. 2013) mentioned in Zhao et al. (2022)

  • Protocol for US Potato Simulations(Zhao et al. 2018) from Zhao et al. (2022)

Rosenzweig, C., J. W. Jones, J. L. Hatfield, A. C. Ruane, K. J. Boote, P. Thorburn, J. M. Antle, et al. 2013. “The Agricultural Model Intercomparison and Improvement Project (AgMIP): Protocols and Pilot Studies.” Agricultural and Forest Meteorology 170: 166–82. https://doi.org/https://doi.org/10.1016/j.agrformet.2012.09.011.
Zhao, Chuang, Claudio O Stockle, Tina Karimi, Roger Leroy Nelson, Frits K van Evert, Annette A Pronk, Anne A Riddle, et al. 2022. “Potential Benefits of Climate Change for Potatoes in the United States.” Environmental Research Letters 17 (10): 104034.
Zhao, Chuang, Claudio Stockle, John Kruse, Liujun Xiao, David Gustafson, and Senthold Asseng. 2018. “Protocol for US Potato Simulations.” https://doi.org/10.13140/RG.2.2.19416.60162.