تحقیقات آب و خاک ایران

تحقیقات آب و خاک ایران

پیش‌بینی عملکرد گندم دیم برای ارزیابی تناسب اراضی در یک منطقه نیمه‌خشک: مقایسه روش فائو-AEZ و مدل AquaCrop

نوع مقاله : مقاله پژوهشی

نویسندگان
1 گروه علوم و مهندسی خاک، دانشکده مهندسی و فناوری کشاورزی، دانشکدگان کشاورزی و منابع طبیعی، دانشگاه تهران، کرج، ایران
2 بخش تحقیقات شناسایی خاک و ارزیابی اراضی، مؤسسه تحقیقات خاک و آب، سازمان تحقیقات، آموزش و ترویج کشاورزی، کرج، ایران
چکیده
ارزیابی کمی تناسب اراضی برای محصولات دیم در مناطق نیمه‌خشک، نیازمند روش‌هایی بادقت قابل‌قبول در پیش‌بینی عملکرد است. در این پژوهش، توانایی دو رویکرد AEZ و مدل AquaCrop در پیش‌بینی عملکرد گندم دیم (رقم آذر۲) در منطقه حلب (استان زنجان) مقایسه شد. داده‌های اقلیمی دو فصل زراعی (۲۰۲۲-۲۰۲۳ و ۲۰۲۳-۲۰۲۴)، ویژگی‌های خاک 11 پروفیل و عملکرد واقعی گندم اندازه‌گیری گردید. عملکرد قابل‌دستیابی با روش AEZ از طریق محاسبه عملکرد پتانسیل، اعمال تنش آبی و شاخص ادافیکی برآورد شد. مدل AquaCrop نیز کالیبره و اجرا گردید. ارزیابی دقت با شاخص‌های MAE، RMSE،nRMSE، r2 و R² انجام شد. نتایج نشان داد مدل
AquaCrop (155/0 =MAE
189/0=RMSE تن در هکتار، 57%/10=nRMSE، 777/0r=2 و 657/0=R2) نسبت به روش AEZ (178/0=MAE، 235/0=RMSE تن در هکتار، 17%/13=nRMSE، 728/0=r2 و 544/0=R2) از دقت بالاتری برخوردار است. برتری AquaCrop ناشی از شبیه‌سازی پویای روزانه تنش آبی تفکیک تبخیر از تعرق است. طبقه‌بندی تناسب اراضی نشان داد که تمامی واحدهای اراضی با وجود تفاوت در برآوردهای دو مدل، در کلاس S2 قرار می‌گیرند و عملکرد پیش‌بینی‌شده تمام واحدها بالاتر از عملکرد بحرانی (۴۱۲ کیلوگرم در هکتار) است که بیانگر توجیه اقتصادی کشت در منطقه می‌باشد. بر اساس یافته‌ها، مدل AquaCrop برای پیش‌بینی عملکرد در سطح مزرعه و ارزیابی دقیق تناسب اراضی در شرایط دیم مناسب‌تر است، در حالی که روش AEZ برای برنامه‌ریزی کلان منطقه‌ای کاربرد بیشتری دارد. توسعه مدل‌های ترکیبی که شبیه‌سازی پویای تنش آبی را با زیرمدل‌های جذب عناصر غذایی تلفیق کنند، برای افزایش دقت پیش‌بینی در مطالعات آتی توصیه می‌شود.
کلیدواژه‌ها
موضوعات

عنوان مقاله English

Dryland Wheat Yield Prediction for Land Suitability Evaluation in a Semi-Arid Region: A Comparison of the FAO-AEZ Method and the AquaCrop Model

نویسندگان English

Mohsen Davirand 1
Fereydoon Sarmadian 1
Mir Naser Navidi 2
1 Department of Soil Science and Engineering, Faculty of Agricultural Engineering and Technology, Faculties of Agriculture and Natural Resources, University of Tehran, Karaj, Iran
2 Soil Identification and Land Evaluation Research Department, Soil and Water Research Institute, Agricultural Research, Education and Extension Organization, Karaj, Iran
چکیده English

Quantitative land suitability assessment for dryland crops in semi-arid regions requires methods with acceptable accuracy in yield prediction. In this study, the capability of two approaches, AEZ and the AquaCrop model, was compared for predicting dryland wheat yield (cv. Azar 2) in the Halab region (Zanjan province). Climatic data from two growing seasons (2022–2023 and 2023–2024), soil properties of 11 profiles, and actual wheat yield were measured. Attainable yield using the AEZ method was estimated through calculation of potential yield, application of water stress, and the edaphic index. The AquaCrop model was also calibrated and executed. Accuracy evaluation was performed using MAE, RMSE, nRMSE, r², and R² indices. The results showed that the AquaCrop model (MAE=0.155, RMSE=0.189 t/ha, nRMSE=10.57%, r²=0.777, and R²=0.657) had higher accuracy compared to the AEZ method (MAE=0.178, RMSE=0.235 t/ha, nRMSE=13.17%, r²=0.728, and R²=0.544). The superiority of AquaCrop is due to its dynamic daily simulation of water stress with separation of evaporation from transpiration. Land suitability classification showed that although estimates differed between the two models, all land units fell into class S2, and the predicted yield of all units was above the critical yield (412 kg/ha), indicating the economic justification of cultivation in the region. Based on the findings, the AquaCrop model is more suitable for field-scale yield prediction and detailed land suitability assessment under dryland conditions, while the AEZ method has greater applicability for regional macro-planning. The development of hybrid models that integrate dynamic water stress simulation with nutrient uptake sub-models is recommended to increase prediction accuracy in future studies.

کلیدواژه‌ها English

Quantitative land suitability assessment
rainfed wheat
AEZ
AquaCrop
yield prediction

Introduction

Ensuring global food security remains a critical challenge, particularly for wheat (Triticum aestivum L.), which supplies ~20% of human caloric intake. In Iran, dryland wheat occupies over 70% of the country's arable drylands; however, a persistent yield gap of approximately 65% (average yield ~1.25 t/ha) threatens national food security. Quantitative land suitability assessment provides a systematic framework to match environmental characteristics with crop ecological requirements. While the FAO's Agro-Ecological Zoning (AEZ) approach simplifies crop growth through reductionist models and soil limitation indices, the process-based AquaCrop model simulates dynamic soil-plant-climate interactions mechanistically. Despite their individual applications, a systematic, head-to-head comparison of these two FAO-endorsed approaches for dryland wheat suitability assessment in semi-arid regions remains unexplored. Therefore, the primary goal of this study was to compare the predictive accuracy and applicability of the AEZ and AquaCrop models for estimating dryland wheat yield (cv. Azar 2) to conduct a quantitative land suitability evaluation in the semi-arid Halab region of Zanjan province, Iran. The target audience includes agricultural land-use planners, soil scientists, and crop modelers. We adopted a postpositivist quantitative approach to test the hypothesis that AquaCrop, with its dynamic daily water-balance, exhibits lower systematic error and higher precision for point-specific yield predictions compared to the static, regionally-oriented AEZ method.

Method

This quantitative study employed an observational/computational modeling design. The methodology involved three integrated phases: (1) field sampling for soil and yield data, (2) implementation of the FAO-AEZ parametric model, and (3) calibrated simulation using the AquaCrop v7 model. Eleven representative soil profiles (each corresponding to a distinct land unit) were selected across the 4,557-hectare study area. For each profile, standard laboratory analyses determined physical (texture, FC, PWP) and chemical properties (pH, ECe, SAR, CaCO₃, gypsum, OC). Concurrently, actual grain yield was measured at adjacent farm plots using 1 m² quadrats with three replications during the 2022–2023 and 2023–2024 growing seasons. Daily climatic data (Tmin, Tmax, precipitation, humidity, wind speed, sunshine hours) were obtained from the Halab automatic synoptic station, with reference evapotranspiration (ETo) calculated using the FAO-Penman-Monteith equation. Outcome measures included predicted attainable yield (t/ha) for each model and the final quantitative land suitability class (S1–N). For AEZ, potential yield (Yp) was computed via the radiation-thermal model, water-limited yield (Yw) via the Doorenbos-Kassam relationship (Ky=1.05), and the edaphic index (Ied) via the square-root method based on seven limiting factors. For AquaCrop, conservative parameters (WP*, HI₀, CGC, CDC) were sourced from Tavakoli et al. (2010) and locally calibrated, while non-conservative parameters were field-observed.

Sampling Procedures

The 11 soil profiles were selected using a systematic stratified sampling strategy based on pre-existing soil map units to ensure they represented the topographical and soil variability of the entire region. For each profile, morphological descriptions and disturbed samples were collected from all genetic horizons. Yield sampling was executed adjacent to each profile; however, due to fallow practices, sampling occurred across the two separate seasons—seven profiles in 2022–2023 and four profiles in 2023–2024. Data collection settings included agricultural dryland fields and their corresponding laboratory analysis.

Sample Size, Power, and Precision

The intended sample size (n=11 land units) was determined by the available representative soil profiles from the national soil database (SWRI) that fell within the study domain, rather than a formal a priori power analysis—a standard approach in land suitability modeling where the focus is on representative pedo-geomorphological units rather than statistical generalization to a population. The achieved sample size matched the intended size (n=11), with a total of 33 yield measurement plots (3 replicates × 11 profiles). Precision of the model estimates was rigorously evaluated using post-hoc standard error metrics, including Mean Absolute Error (MAE), Root Mean Square Error (RMSE), normalized RMSE (nRMSE), the squared Pearson correlation coefficient (r²), and the coefficient of determination (R²).

Results

AquaCrop-simulated potential yields were 4.99–5.02 t/ha, closely matching the AEZ-estimated Yp (4.81–4.95 t/ha). However, the validated attainable yields showed significant differences. AquaCrop demonstrated superior accuracy with MAE=0.155 t/ha, RMSE=0.189 t/ha, nRMSE=10.57%, r²=0.777, and R²=0.657. Conversely, the AEZ method yielded MAE=0.178 t/ha, RMSE=0.235 t/ha, nRMSE=13.17%, r²=0.728, and R²=0.544. Crucially, the discrepancy between r² and R² was notably larger for AEZ (Δ=0.184) compared to AquaCrop (Δ=0.120), indicating a substantial systematic bias (over/underestimation) inherent to the AEZ structure. The quantitative land suitability classification, based on the Sys method with a critical yield of 0.412 t/ha, revealed that all 11 land units fell into the moderately suitable class (S2) regardless of the model used. Notably, all predicted yields exceeded the economic critical threshold, confirming the financial viability of dryland wheat production across the entire study region.

Conclusions

The results confirm the hypothesis that AquaCrop provides a more precise, point-specific prediction of dryland wheat yield, primarily due to its dynamic daily simulation of water stress, compartmentalized evaporation/transpiration, and three distinct stress coefficients (canopy expansion, stomatal closure, and early senescence). Conversely, AEZ's reliance on a static four-stage reduction coefficient and the aggregated ETₐ/ETo ratio masks the critical impact of drought timing during sensitive phenophases (e.g., pollination). The theoretical and practical significance lies in establishing a clear decision-framework: AquaCrop is warranted for on-farm managerial recommendations and detailed local suitability mapping, whereas AEZ remains highly valuable for large-scale regional agro-ecological zoning and climate-change scenario analyses. If these findings are applied, planners can optimize resource allocation. However, unresolved problems persist, as both models left 22–34% of yield variance unexplained—largely attributed to AquaCrop's direct omission of specific soil chemical constraints and AEZ's oversimplified static parameters. We recommend future research focus on developing hybrid models that integrate AquaCrop's dynamic water module with nutrient-uptake sub-models and soil chemical constraints, alongside leveraging remote-sensing data for dynamic parameterization, to reduce prediction uncertainty and provide a more robust scientific basis for agricultural decision-making in semi-arid environments.

Funding

The study was funded by the University of Tehran, Faculty of Agricultural Engineering and Technology.

Authorship contribution

Individual contributions in detail:

M. Davirand (PhD student): Preparation of samples, conducting experiments and data collection, calculations, statistical analysis of data, analysis and interpretation of information and results, preparation of the original draft.

F. Sarmadian (Supervisor): Research design, supervision of the research process, verification and validation of results, revision, review, and finalization of the manuscript.

M.N. Navidi (Advisor): Participation in research design, supervision of the research, study and review of the manuscript.All authors contributed equally to the conceptualization of the article and writing of the original and subsequent drafts.

Declaration of Generative AI and AI-assisted technologies in the writing process

During the preparation of this work, the authors used DeepSeek in some sections in order to improve grammar and writing style. After using this tool, the authors reviewed and edited the content as needed and take full responsibility for the content of the publication.

Data availability statement

Data available on request from the authors.

Acknowledgements

The authors would like to thank the University of Tehran, Faculty of Agricultural Engineering and Technology, for their financial and spiritual support, and also anonymous reviewers for their constructive and scientific comments on the manuscript.

Ethical considerations

The authors avoided data fabrication, falsification, and plagiarism, and any form of misconduct.

 

Conflict of interest

The authors declare no conflict of interest.

Abrha, B., Delbecque, N., Raes, D., Tsegay, A., Todorovic, M., Heng, L., ... & Deckers, S. (2012). Sowing strategies for barley (hordeum vulgare l.) based on modelled yield response to water with aquacrop–corrigendum. Experimental Agriculture, 48(3), 472. https://doi.org/10.1017/S0014479711001303
Allen, R. G., Pereira, L. S., Raes, D., & Smith, M. (1998). Crop evapotranspiration-Guidelines for computing crop water requirements-FAO Irrigation and drainage paper 56. Fao, rome, 300(9), D05109.
Alvar-Beltran, J., Soldan, R., Vanuytrecht, E., Heureux, A., Shrestha, N., Manzanas, R., ... & Franceschini, G. (2023). An FAO model comparison: Python Agroecological Zoning (PyAEZ) and AquaCrop to assess climate change impacts on crop yields in Nepal. Environmental Development, 47, 100882. https://doi.org/10.1016/j.envdev.2023.100882
Andarzian, ‌., Bannayan, M., Steduto, P., Mazraeh, H., Barati, M. E., Barati, M. A., & Rahnama, A. (2011). Validation and testing of the AquaCrop model under full and deficit irrigated wheat production in Iran. Agricultural Water Management, 100(1), 1-8. https://doi.org/10.1016/j.agwat.2011.08.023
Ayoubi, S., Givi, J. A. V. A. D., Jalalian, A., & Amini, A. M. (2002). Quantitative land suitability evaluation for wheat, barley, maize and rice cultivation in Northern Baraan (Isfahan). Journal of Water and Soil Science, 6(3), 105-119.
Bagheri Khaneghahi, M., Hezarijaribi, A., Kamali, M. I., & Zamani, F. (2025). Evaluating the accuracy of AquaCrop7.1 crop model and investigating the effect of changing the planting date on the performance of rainfed wheat in different climates of Iran. Journal of Water and Soil, 29(3), 1-18.
Bagherzadeh, A., Gholizadeh, A. Modeling land suitability evaluation for wheat production by parametric and TOPSIS approaches using GIS, northeast of Iran. Model. Earth Syst. Environ. 2, 126 (2016). https://doi.org/10.1007/s40808-016-0177-8
Boote, K. J., Jones, J. W., White, J. W., Asseng, S., & Lizaso, J. I. (2013). Putting mechanisms into crop production models. Plant, cell & environment, 36(9), 1658-1672. https://doi.org/10.1111/pce.12119
Bouman, B. A. M., Van Keulen, H., Van Laar, H. H., & Rabbinge, R. (1996). The ‘School of de Wit’crop growth simulation models: a pedigree and historical overview. Agricultural systems, 52(2-3), 171-198. https://doi.org/10.1016/0308-521X(96)00011-X
Doorenbos, J., & Kassam, A. H. (1979). Yield response to water. Irrigation and Drainage Paper No. 33. Rome: Food and Agriculture Organization of the United Nations (FAO).
FAO (1976). A framework for land evaluation. Soils Bulletin 32. FAO, Rome.
FAO (1978). Report on the agro-ecological zones project. Vol. 1. Methodology and results for Africa. World Soil Resources Report 48. FAO, Rome.
FAO (n.d.). Suitability and Attainable Yield - GAEZ v5 - Suitability Class. FAO Catalog. Available at: https://data.apps.fao.org (Accessed: July 2026).
FAO GIEWS. (2025). FAO GIEWS Country Brief on Iran (Islamic Republic of). Food and Agriculture Organization of the United Nations. https://www.fao.org/giews/countrybrief/country.jsp?code=IRN
FAO. (1976). A framework for land evaluation (Soils Bulletin 32). Food and Agriculture Organization of the United Nations.
FAO. (1996). Agro-ecological zoning: Guidelines (FAO Soils Bulletin 73). Food and Agriculture Organization of the United Nations.
FAO. (2025a). The State of the World’s Land and Water Resources for Food and Agriculture 2025 (SOLAW 2025) – The potential to produce more and better. Rome. https://doi.org/10.4060/cd7488en
FAO. (2025b). Better land, soil and water management key to feeding 10 billion people, FAO warns. FAO News Release. https://www.fao.org/newsroom/detail/better-land-soil-and-water-management-key-to-feeding-10-billion-people-fao-warns
Fischer, G., Nachtergaele, F. O., Prieler, S., Teixeira, E., Tóth, G., Van Velthuizen, H., Verelst, L., & Wiberg, D. (2012). Global agro-ecological zones (GAEZ v3.0): Model documentation. Food and Agriculture Organization of the United Nations.
Fischer, G., Nachtergaele, F. O., van Velthuizen, H., Chiozza, F., Francheschini, G., Henry, M., ... & Tramberend, S. (2021). Global agro-ecological zones (gaez v4)-model documentation.
Fischer, G., Van Velthuizen, H. T., Shah, M. M., & Nachtergaele, F. O. (2002). Global agro-ecological assessment for agriculture in the 21st century: methodology and results.
Hamzeh, B., Ashoori, P., Jalili, A., Habibi, R., & Mousavi, S. A. (2020). Comparison of soil seed bank and vegetation in semi-steppe rangelands of Zanjan province, Case study: Anguran protected area, Ghara-Boogh station. Iran nature, 5(5), 69-80.
Hsiao, T. C., Heng, L., Steduto, P., Rojas‐Lara, B., Raes, D., & Fereres, E. (2009). AquaCrop—the FAO crop model to simulate yield response to water: III. Parameterization and testing for maize. Agronomy Journal, 101(3), 448-459. https://doi.org/10.2134/agronj2008.0218s
Hume, L., & Shirriff, S. (1995). The effect of quadrat shape and placement on the accuracy of yield and density estimates for crops seeded in narrow rows. Canadian Journal of Plant Science, 75(4), 889-892.
Jones, J. W., Hoogenboom, G., Porter, C. H., Boote, K. J., Batchelor, W. D., Hunt, L. A., ... & Ritchie, J. T. (2003). The DSSAT cropping system model. European journal of agronomy, 18(3-4), 235-265. https://doi.org/10.1016/S1161-0301(02)00107-7
Kaissi, O., Er-raki, S., Bouras, E., Belaqziz, S., & Chehbouni, A. (2024). Assessment and comparison of crop growth models for estimating wheat production in a semi-arid region of Morocco. European Geosciences Union General Assembly 2024 (EGU24), 13284. https://doi.org/10.5194/egusphere-egu24-13284
Kassam, A. H. (1977). Net biomass production and yield of crops with provisional results for tropical Africa. Soil Resources, Management and Conservation Service, Land and Water Development Division, FAO.
Kassie, B. T., Van Ittersum, M. K., Hengsdijk, H., Asseng, S., Wolf, J., & Rötter, R. P. (2014). Climate-induced yield variability and yield gaps of maize (Zea mays L.) in the Central Rift Valley of Ethiopia. Field Crops Research, 160, 41-53. https://doi.org/10.1016/j.fcr.2014.02.010
Khiddir, S. M. (1986). A statistical approach in the use of parametric systems applied to the FAO framework for land evaluation (Doctoral dissertation, Ghent University).
Khoshsirat, A. M., Najarchi, M., Jafarinia, R., & Mokhtari, S. (2022). Sensitivity analysis and determination of the optimal level of water use efficiency for winter wheat and barley under different irrigation scenarios using the AquaCrop Model in arid and semiarid climatic conditions (Case Study: Dehloran Plain, Iran). Water, 14(21), 3455.
Legates, D. R., & McCabe Jr, G. J. (1999). Evaluating the use of “goodness‐of‐fit” measures in hydrologic and hydroclimatic model validation. Water resources research, 35(1), 233-241.
Lorite, I. J., García-Vila, M., Santos, C., Ruiz-Ramos, M., & Fereres, E. (2013). AquaData and AquaGIS: two computer utilities for temporal and spatial simulations of water-limited yield with AquaCrop. Computers and Electronics in Agriculture, 96, 227-237. https://doi.org/10.1016/j.compag.2013.05.010
Mkhabela, M. S., & Bullock, P. R. (2012). Performance of the FAO AquaCrop model for wheat grain yield and soil moisture simulation in Western Canada. Agricultural Water Management, 110, 16-24. https://doi.org/10.1016/j.agwat.2012.03.009
Mohammadzadeh, A., Azimzadeh, Y., Lotfi, R., Zadhasan, E., Alizadeh, K., & Khoshro, H. H. (2025). Analyzing the rainfed wheat yield gap in Northwest Iran. Farming System, 3(1), 100126. https://doi.org/10.1016/j.farsys.2024.100126
Oulaid, B., Milne, A. E., Waine, T., El Alami, R., Rafiqi, M., & Corstanje, R. (2024). Stepwise model parametrisation using satellite imagery and hemispherical photography: Tuning AquaCrop sensitive parameters for improved winter wheat yield predictions in semi-arid regions. Field Crops Research, 309, 109327. https://doi.org/10.1016/j.fcr.2024.109327
Paff, K., & Asseng, S. (2018). A review of tef physiology for developing a tef crop model. European Journal of Agronomy, 94, 54-66. https://doi.org/10.1016/j.eja.2018.01.008
Peel, M. C., Finlayson, B. L., & McMahon, T. A. (2007). Updated world map of the Köppen-Geiger climate classification. Hydrology and Earth System Sciences, 11(5), 1633-1644.
Raes, D., Steduto, P., Hsiao, T. C., & Fereres, E. (2009). AquaCrop—the FAO crop model to simulate yield response to water: II. Main algorithms and software description. Agronomy Journal, 101(3), 438-447.
Rossiter, D. G. (1996). A theoretical framework for land evaluation. Geoderma, 72(3-4), 165-190. https://doi.org/10.1016/0016-7061(96)00031-6
Sabater, M. (2019). ERA5-land monthly averaged data from 1981 to present, Copernicus Climate Change Service (C3S) Climate Data Store (CDS). Earth Syst. Sci. Data, 55, 5679.
Sarmadian, F., Keshavarzi, A., Rooien, A., Zahedi, G., Javadikia, H., & Iqbal, M. (2014). Support vector machines basedmodeling of land suitability analysis for rainfed agriculture. J. Geosci. Geomat, 2, 165-171.
Servati, M., Jafarzadeh, A. A., Ghorban, M. A., Shahbazi, F., & Davatgar, N. (2014). Comparison of the FAO and Albero models in prediction of irrigated wheat production potentials in the Khajeh region. Journal of Water and Soil Science, 24, 1-14. (in persian).
Shiferaw, B., Smale, M., Braun, H. J., Duveiller, E., Reynolds, M., & Muricho, G. (2013). Crops that feed the world 10. Past successes and future challenges to the role played by wheat in global food security. Food security, 5(3), 291-317. https://doi.org/10.1007/s12571-013-0263-y
Steduto, P., Hsiao, T. C., Raes, D., & Fereres, E. (2009). AquaCrop—The FAO crop model to simulate yield response to water: I. Concepts and underlying principles. Agronomy journal, 101(3), 426-437.
Sys, C., Van Ranst, E., & Debaveye, J. (1991). Land evaluation. Part I: Principles in land evaluation and crop production calculations. Agricultural Publications No. 7. GADC, Ghent.
Sys, C., Van Ranst, E., Debaveye, J., & Beernaert, F. (1993). Land evaluation. Part III: Crop requirements. Agricultural Publications No. 7. GADC, Ghent.
Tavakoli, A. R., Oweis, T., Ashrafi, S., et al. (2010). Improving rainwater productivity with supplemental irrigation in upper Karkheh river basin of Iran. ICARDA, Aleppo, Syria.
Teixeira, E. I., Fischer, G., Van Velthuizen, H., Walter, C., & Ewert, F. (2013). Global hot-spots of heat stress on agricultural crops due to climate change. Agricultural and forest Meteorology, 170, 206-215. https://doi.org/10.1016/j.agrformet.2011.09.002
van Diepen, C.A., van Keulen, H., Wolf, J., Berkhout, J.A.A. (1991). Land Evaluation: From Intuition to Quantification. In: Stewart, B.A. (eds) Advances in Soil Science. Advances in Soil Science, vol 15. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-3030-4_4
Van Ittersum, M. K., Cassman, K. G., Grassini, P., Wolf, J., Tittonell, P., & Hochman, Z. (2013). Yield gap analysis with local to global relevance—a review. Field crops research, 143, 4-17. https://doi.org/10.1016/j.fcr.2012.09.009
Willmott, C. J. (1982). Some comments on the evaluation of model performance. Bulletin of the American meteorological society, 63(11), 1309-1313.
Xiong, W., Holman, I. P., You, L., Yang, J., & Wu, W. (2014). Impacts of observed growing-season warming trends since 1980 on crop yields in China. Regional environmental change, 14(1), 7-16.  https://doi.org/10.1007/s10113-013-0418-6
دوره 57، شماره 8
چاپ شده در اول آبانماه 1405
آبان 1405
صفحه 2045-2064