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Performance of AquaCrop and SIMDualKc models in evapotranspiration partitioning on full and deficit irrigated maize for seed production under plastic film-mulch in an arid region of China

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  • Ran, Hui
  • Kang, Shaozhong
  • Li, Fusheng
  • Tong, Ling
  • Ding, Risheng
  • Du, Taisheng
  • Li, Sien
  • Zhang, Xiaotao

Abstract

It is difficult – though important – to assess the necessary allocation of increasingly scarce water resources and yield estimation, by determining the exact amount of evapotranspiration (ET) and the partitioning of ET into transpiration (T) through the stomata of plants and evaporation (E) from the soil. An accurate and effective method for ET partitioning and estimation is, therefore, desirable. This paper aims to evaluate the performance of two main models for ET partitioning and estimation in terms of feasibility and accuracy: the AquaCrop (Version 4.0) model, and the SIMDualKc model. Field experiments were carried out between 2011 and 2015 in an arid region of Northwest China on two sites using full and deficit irrigation under plastic film-mulch, with the ET of maize for seed production and its partitioning components (T and E) being strictly measured by using the eddy covariance (EC) system or the sap flow system and micro-lysimeter cylinders. Subsequently, part of the measured data was used to calibrate the two models, so that the calibrated models could then be used to assess whether the agreement between simulation and measurement had proved successful, thus validating the models, or not. The results showed that the two models performed well with regard to their simulation of ET and T under full irrigation conditions. Under deficit irrigation conditions, the ET and T values simulated by the AquaCrop model were much closer to the actual measurement when compared with the results simulated by the SIMDualKc model. This was particularly the case when the soil was re-watered after a period of long-term water stress. For the simulated E, however, both models generated data that were distant from the actual measurements taken under full or deficit irrigation conditions using plastic film-mulch, although when the SIMDualKc model simulated E data, it came closer to the measurement than did the AquaCrop model. The comparison of two models in terms of their accuracy and feasibility based on the data analysis is discussed.

Suggested Citation

  • Ran, Hui & Kang, Shaozhong & Li, Fusheng & Tong, Ling & Ding, Risheng & Du, Taisheng & Li, Sien & Zhang, Xiaotao, 2017. "Performance of AquaCrop and SIMDualKc models in evapotranspiration partitioning on full and deficit irrigated maize for seed production under plastic film-mulch in an arid region of China," Agricultural Systems, Elsevier, vol. 151(C), pages 20-32.
    • Handle: RePEc:eee:agisys:v:151:y:2017:i:c:p:20-32
    DOI: 10.1016/j.agsy.2016.11.001
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    1. Paredes, P. & Wei, Z. & Liu, Y. & Xu, D. & Xin, Y. & Zhang, B. & Pereira, L.S., 2015. "Performance assessment of the FAO AquaCrop model for soil water, soil evaporation, biomass and yield of soybeans in North China Plain," Agricultural Water Management, Elsevier, vol. 152(C), pages 57-71.
    2. Pereira, Luis S. & Paredes, Paula & Rodrigues, Gonçalo C. & Neves, Manuela, 2015. "Modeling malt barley water use and evapotranspiration partitioning in two contrasting rainfall years. Assessing AquaCrop and SIMDualKc models," Agricultural Water Management, Elsevier, vol. 159(C), pages 239-254.
    3. Zhang, Yanqun & Kang, Shaozhong & Ward, Eric J. & Ding, Risheng & Zhang, Xin & Zheng, Rui, 2011. "Evapotranspiration components determined by sap flow and microlysimetry techniques of a vineyard in northwest China: Dynamics and influential factors," Agricultural Water Management, Elsevier, vol. 98(8), pages 1207-1214, May.
    4. Iqbal, M. Anjum & Shen, Yanjun & Stricevic, Ruzica & Pei, Hongwei & Sun, Hongyoung & Amiri, Ebrahim & Penas, Angel & del Rio, Sara, 2014. "Evaluation of the FAO AquaCrop model for winter wheat on the North China Plain under deficit irrigation from field experiment to regional yield simulation," Agricultural Water Management, Elsevier, vol. 135(C), pages 61-72.
    5. Araya, A. & Habtu, Solomon & Hadgu, Kiros Meles & Kebede, Afewerk & Dejene, Taddese, 2010. "Test of AquaCrop model in simulating biomass and yield of water deficient and irrigated barley (Hordeum vulgare)," Agricultural Water Management, Elsevier, vol. 97(11), pages 1838-1846, November.
    6. Ding, Risheng & Kang, Shaozhong & Li, Fusheng & Zhang, Yanqun & Tong, Ling & Sun, Qingyu, 2010. "Evaluating eddy covariance method by large-scale weighing lysimeter in a maize field of northwest China," Agricultural Water Management, Elsevier, vol. 98(1), pages 87-95, December.
    7. Zhao, Peng & Li, Sien & Li, Fusheng & Du, Taisheng & Tong, Ling & Kang, Shaozhong, 2015. "Comparison of dual crop coefficient method and Shuttleworth–Wallace model in evapotranspiration partitioning in a vineyard of northwest China," Agricultural Water Management, Elsevier, vol. 160(C), pages 41-56.
    8. Ding, Risheng & Kang, Shaozhong & Zhang, Yanqun & Hao, Xinmei & Tong, Ling & Du, Taisheng, 2013. "Partitioning evapotranspiration into soil evaporation and transpiration using a modified dual crop coefficient model in irrigated maize field with ground-mulching," Agricultural Water Management, Elsevier, vol. 127(C), pages 85-96.
    9. Paredes, P. & Rodrigues, G.C. & Alves, I. & Pereira, L.S., 2014. "Partitioning evapotranspiration, yield prediction and economic returns of maize under various irrigation management strategies," Agricultural Water Management, Elsevier, vol. 135(C), pages 27-39.
    10. Wu, Yao & Liu, Tingxi & Paredes, Paula & Duan, Limin & Pereira, Luis S., 2015. "Water use by a groundwater dependent maize in a semi-arid region of Inner Mongolia: Evapotranspiration partitioning and capillary rise," Agricultural Water Management, Elsevier, vol. 152(C), pages 222-232.
    11. Tavakoli, Ali Reza & Mahdavi Moghadam, Mehran & Sepaskhah, Ali Reza, 2015. "Evaluation of the AquaCrop model for barley production under deficit irrigation and rainfed condition in Iran," Agricultural Water Management, Elsevier, vol. 161(C), pages 136-146.
    12. Li, Sien & Kang, Shaozhong & Zhang, Lu & Du, Taisheng & Tong, Ling & Ding, Risheng & Guo, Weihua & Zhao, Peng & Chen, Xia & Xiao, Huan, 2015. "Ecosystem water use efficiency for a sparse vineyard in arid northwest China," Agricultural Water Management, Elsevier, vol. 148(C), pages 24-33.
    13. Liu, Yujie & Luo, Yi, 2010. "A consolidated evaluation of the FAO-56 dual crop coefficient approach using the lysimeter data in the North China Plain," Agricultural Water Management, Elsevier, vol. 97(1), pages 31-40, January.
    14. Kang, Shaozhong & Liang, Zongsuo & Pan, Yinhua & Shi, Peize & Zhang, Jianhua, 2000. "Alternate furrow irrigation for maize production in an arid area," Agricultural Water Management, Elsevier, vol. 45(3), pages 267-274, August.
    15. Andarzian, B. & 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, Elsevier, vol. 100(1), pages 1-8.
    16. Toumi, J. & Er-Raki, S. & Ezzahar, J. & Khabba, S. & Jarlan, L. & Chehbouni, A., 2016. "Performance assessment of AquaCrop model for estimating evapotranspiration, soil water content and grain yield of winter wheat in Tensift Al Haouz (Morocco): Application to irrigation management," Agricultural Water Management, Elsevier, vol. 163(C), pages 219-235.
    17. Jiang, Xuelian & Kang, Shaozhong & Li, Fusheng & Du, Taisheng & Tong, Ling & Comas, Louise, 2016. "Evapotranspiration partitioning and variation of sap flow in female and male parents of maize for hybrid seed production in arid region," Agricultural Water Management, Elsevier, vol. 176(C), pages 132-141.
    18. Linker, Raphael & Ioslovich, Ilya & Sylaios, Georgios & Plauborg, Finn & Battilani, Adriano, 2016. "Optimal model-based deficit irrigation scheduling using AquaCrop: A simulation study with cotton, potato and tomato," Agricultural Water Management, Elsevier, vol. 163(C), pages 236-243.
    19. Allen, Richard G. & Pereira, Luis S. & Howell, Terry A. & Jensen, Marvin E., 2011. "Evapotranspiration information reporting: I. Factors governing measurement accuracy," Agricultural Water Management, Elsevier, vol. 98(6), pages 899-920, April.
    20. Katerji, Nader & Campi, Pasquale & Mastrorilli, Marcello, 2013. "Productivity, evapotranspiration, and water use efficiency of corn and tomato crops simulated by AquaCrop under contrasting water stress conditions in the Mediterranean region," Agricultural Water Management, Elsevier, vol. 130(C), pages 14-26.
    21. Jiang, Xuelian & Kang, Shaozhong & Tong, Ling & Li, Fusheng & Li, Donghao & Ding, Risheng & Qiu, Rangjian, 2014. "Crop coefficient and evapotranspiration of grain maize modified by planting density in an arid region of northwest China," Agricultural Water Management, Elsevier, vol. 142(C), pages 135-143.
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    9. Tan, Shuai & Wang, Quanjiu & Zhang, Jihong & Chen, Yong & Shan, Yuyang & Xu, Di, 2018. "Performance of AquaCrop model for cotton growth simulation under film-mulched drip irrigation in southern Xinjiang, China," Agricultural Water Management, Elsevier, vol. 196(C), pages 99-113.
    10. Liu, Meihan & Shi, Haibin & Paredes, Paula & Ramos, Tiago B. & Dai, Liping & Feng, Zhuangzhuang & Pereira, Luis S., 2022. "Estimating and partitioning maize evapotranspiration as affected by salinity using weighing lysimeters and the SIMDualKc model," Agricultural Water Management, Elsevier, vol. 261(C).
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    12. Xu, Junzeng & Bai, Wenhuan & Li, Yawei & Wang, Haiyu & Yang, Shihong & Wei, Zheng, 2019. "Modeling rice development and field water balance using AquaCrop model under drying-wetting cycle condition in eastern China," Agricultural Water Management, Elsevier, vol. 213(C), pages 289-297.
    13. He, Liuyue & Xue, Jingyuan & Wang, Sufen, 2023. "WHCrop: A novel water-heat driven crop model for estimating the spatiotemporal dynamics of crop growth for arid region," Agricultural Water Management, Elsevier, vol. 287(C).
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    15. Liu, Meihan & Paredes, Paula & Shi, Haibin & Ramos, Tiago B. & Dou, Xu & Dai, Liping & Pereira, Luis S., 2022. "Impacts of a shallow saline water table on maize evapotranspiration and groundwater contribution using static water table lysimeters and the dual Kc water balance model SIMDualKc," Agricultural Water Management, Elsevier, vol. 273(C).
    16. Pengrui Ai & Yingjie Ma, 2020. "Estimation of Evapotranspiration of a Jujube/Cotton Intercropping System in an Arid Area Based on the Dual Crop Coefficient Method," Agriculture, MDPI, vol. 10(3), pages 1-14, March.
    17. Zhang, Chao & Xie, Ziang & Wang, Qiaojuan & Tang, Min & Feng, Shaoyuan & Cai, Huanjie, 2022. "AquaCrop modeling to explore optimal irrigation of winter wheat for improving grain yield and water productivity," Agricultural Water Management, Elsevier, vol. 266(C).
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    20. Pereira, L.S. & Paredes, P. & Hunsaker, D.J. & López-Urrea, R. & Mohammadi Shad, Z., 2021. "Standard single and basal crop coefficients for field crops. Updates and advances to the FAO56 crop water requirements method," Agricultural Water Management, Elsevier, vol. 243(C).

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