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Introducing water stress hysteresis to the Feddes empirical macroscopic root water uptake model

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  • Wu, Xun
  • Zuo, Qiang
  • Shi, Jianchu
  • Wang, Lichun
  • Xue, Xuzhang
  • Ben-Gal, Alon

Abstract

During wetting-drying cycles, divergence is often found between the immediately improved soil water conditions after re-watering and the recovery of plant water status from stress, which ensues only gradually. Such an apparent hysteresis effect of water stress (HEWS) is usually neglected in simulating root-water-uptake (RWU) by empirical models. To consider HEWS in the empirical macroscopic RWU model of Feddes, a water stress recovery coefficient (δ) was introduced based on two lysimetric experiments under greenhouse and field conditions for winter wheat. The integrated effects of historical water stress events were investigated by assuming that the normalized influence weight of each past stress event declines with the increase of time interval before simulation as an exponential function of attenuation rate. Although δ could be described by an exponential function of an integrative index representing the general historical stress extent (R2 = 0.65, P < 0.001), with an attenuation rate smaller than 0.13, it is challenging to establish such a function practically. An attenuation rate close to zero means HEWS is mainly dominated by the water stress on the previous day, validated by a significant relationship between the relative transpiration or stomatal conductance on the day after irrigation and the water stress extent on the day before irrigation. Therefore, a simplification, substituting the integrative index in the exponential function with the stress extent on the previous day, was proposed for estimating δ. Compared to the traditional RWU model, the revised model considering HEWS was more successful in simulating relative transpiration and soil water dynamics. Root mean square error of relative transpiration was reduced by 65.9 % and of soil water by 30 % in the greenhouse experiment and by 7.4 % and 12.5 %, respectively, in the field experiment.

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  • Wu, Xun & Zuo, Qiang & Shi, Jianchu & Wang, Lichun & Xue, Xuzhang & Ben-Gal, Alon, 2020. "Introducing water stress hysteresis to the Feddes empirical macroscopic root water uptake model," Agricultural Water Management, Elsevier, vol. 240(C).
    • Handle: RePEc:eee:agiwat:v:240:y:2020:i:c:s0378377419318955
    DOI: 10.1016/j.agwat.2020.106293
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    1. Wu, Xun & Zhang, Wenjing & Liu, Wen & Zuo, Qiang & Shi, Jianchu & Yan, Xudong & Zhang, Hongfei & Xue, Xuzhang & Wang, Lichun & Zhang, Mo & Ben-Gal, Alon, 2017. "Root-weighted soil water status for plant water deficit index based irrigation scheduling," Agricultural Water Management, Elsevier, vol. 189(C), pages 137-147.
    2. Shi, Jianchu & Yasuor, Hagai & Yermiyahu, Uri & Zuo, Qiang & Ben-Gal, Alon, 2014. "Dynamic responses of wheat to drought and nitrogen stresses during re-watering cycles," Agricultural Water Management, Elsevier, vol. 146(C), pages 163-172.
    3. Homaee, M. & Dirksen, C. & Feddes, R. A., 2002. "Simulation of root water uptake: I. Non-uniform transient salinity using different macroscopic reduction functions," Agricultural Water Management, Elsevier, vol. 57(2), pages 89-109, October.
    4. Wang, Lichun & Shi, Jianchu & Zuo, Qiang & Zheng, Wenjuan & Zhu, Xiangming, 2012. "Optimizing parameters of salinity stress reduction function using the relationship between root-water-uptake and root nitrogen mass of winter wheat," Agricultural Water Management, Elsevier, vol. 104(C), pages 142-152.
    5. Homaee, M. & Feddes, R. A. & Dirksen, C., 2002. "Simulation of root water uptake: II. Non-uniform transient water stress using different reduction functions," Agricultural Water Management, Elsevier, vol. 57(2), pages 111-126, October.
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    1. Fan, Jinjie & Wu, Xun & Yu, Yangliu & Zuo, Qiang & Shi, Jianchu & Halpern, Moshe & Sheng, Jiandong & Jiang, Pingan & Ben-Gal, Alon, 2023. "Characterizing root-water-uptake of wheat under elevated CO2 concentration," Agricultural Water Management, Elsevier, vol. 275(C).
    2. Liu, Lining & Zuo, Qiang & Shi, Jianchu & Wu, Xun & Wei, Congmin & Sheng, Jiandong & Jiang, Pingan & Chen, Quanjia & Ben-Gal, Alon, 2023. "Balancing economic benefits and environmental repercussions based on smart irrigation by regulating root zone water and salinity dynamics," Agricultural Water Management, Elsevier, vol. 285(C).
    3. Liu, Lining & Wang, Tianshu & Wang, Lichun & Wu, Xun & Zuo, Qiang & Shi, Jianchu & Sheng, Jiandong & Jiang, Pingan & Chen, Quanjia & Ben-Gal, Alon, 2022. "Plant water deficit index-based irrigation under conditions of salinity," Agricultural Water Management, Elsevier, vol. 269(C).
    4. Jie Huang & Wei Dong & Luguang Liu & Tiesong Hu & Shaobin Pan & Xiaowei Yang & Jianan Qin, 2024. "Modeling and Analysis of Rice Root Water Uptake under the Dual Stresses of Drought and Waterlogging," Agriculture, MDPI, vol. 14(4), pages 1-19, March.
    5. Fabio V. Difonzo & Costantino Masciopinto & Michele Vurro & Marco Berardi, 2021. "Shooting the Numerical Solution of Moisture Flow Equation with Root Water Uptake Models: A Python Tool," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 35(8), pages 2553-2567, June.
    6. Wang, Tianshu & Xu, Yanqi & Zuo, Qiang & Shi, Jianchu & Wu, Xun & Liu, Lining & Sheng, Jiandong & Jiang, Pingan & Ben-Gal, Alon, 2023. "Evaluating and improving soil water and salinity stress response functions for root water uptake," Agricultural Water Management, Elsevier, vol. 287(C).

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