Robust fractional programming approach for improving agricultural water-use efficiency under uncertainty

Tan, Qian; Zhang, Tianyuan

doi:10.1016/j.jhydrol.2018.07.080

Cited by 55 publications

(17 citation statements)

References 43 publications

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“…As can be seen, this aspect has not been considered in most studies. (Mardani Najafabadi et al, 2019) inexact robust two-stage mixedinteger linear programming (C. Liner programming (Wineman & Crawford, 2017) interval multistage joint-probabilistic chance constrained programming (Zhang et al, 2017) Fuzzy multi-objective linear programming (Zeng, Kang, Li, Zhang, & Guo, 2010) interval nonlinear multi-objective programming (F. Mixed integer linear programming (Filippi et al, 2017) Robust fractional programming (Tan & Zhang, 2018) bi-level multi-objective linear fractional programming (Wang et al, 2019) Robust Multi-Objective Fractional Linear Programming Proposed model 10…”

Section: Summerymentioning

confidence: 99%

Mathematical Programming Approaches for Modeling a Sustainable Cropping Pattern under Uncertainty: A Case Study in Southern Iran

Najafabadi¹,

Ashktorab²

2021

Preprint

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In recent years, the excessive and unreasonable use of chemicals, the occasional use of water, and the use of improper irrigation methods have created a worrying and unstable situation in developing countries' agricultural activities. In the present study, the robust multi-objective fractional linear programming model (RMOLFP) was introduced to determine the sustainable optimal cropping pattern. This model was presented in the Gotvand irrigation and drainage network located in Khuzestan province, southern Iran, under two scenarios with and without considering the uncertainty to evaluate the ability of the model. The results showed that in the first scenario, the consumption of critical disruptive inputs of sustainable agriculture such as fertilizers and chemical pesticides decreased by 5.9% and 8.19%, respectively. On the other hand, the model's uncertainty condition was applied in the second scenario in which the increase in gross margin was reduced. There is a trade-off between protecting the optimization model against system uncertainty and gross margin. Finally, the ability of the proposed model to apply uncertainty conditions was verified by the Monte Carlo simulation method. The results of this simulation confirmed the use of the RMOLFP method in determining the sustainable optimal cropping pattern for the study area.

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Section: Summerymentioning

confidence: 99%

Mathematical Programming Approaches for Modeling a Sustainable Cropping Pattern under Uncertainty: A Case Study in Southern Iran

Najafabadi¹,

Ashktorab²

2021

Preprint

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“…In general, evaluation of WUE is a multi-objective and multi-criterion synthetical problem in essence [21]. In terms of screening evaluation indicators and constructing evaluation models, scholars at home and abroad have carried out massive application studies [22].…”

Section: Introductionmentioning

confidence: 99%

Analysis of Agricultural Water Use Efficiency Based on Analytic Hierarchy Process and Fuzzy Comprehensive Evaluation in Xinjiang, China

Song

Wang

et al. 2020

Water

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Improving agricultural water use efficiency (WUE) and reducing the proportion of agricultural water consumption are of great significance for coping with the water crisis in the world, particularly in northwest China. However, considering the lack of WUE indicators for the selection and an evaluation of system construction in Xinjiang, the implementation of the strictest water resources management system in this province has been seriously restricted. In order to evaluate the agricultural water utilization situation of 14 administrative regions in Xinjiang, a synthetical evaluation model is proposed combining the analytic hierarchy process method and the fuzzy evaluation method. Firstly, an evaluation system composed of the target layer (i.e., water use efficiency), the criterion layer (i.e., water use situation, engineering measure, planting structure) and the index layer (e.g., utilization coefficient of irrigation water, weighting irrigation quota, grain production per cubic meter of irrigation water, etc.) is constructed. Secondly, a classification standard of evaluation indicators is put forward and a fuzzy evaluation model is introduced into calculate agricultural WUE. Finally, key evaluation indicators that lead to these administrative regions with very low WUE are identified, and discussions on improving agricultural WUE in Kashgar are made. The evaluation results of this study are beneficial for providing support for reforming agricultural water use and promoting sustainable agricultural development in Xinjiang.

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“…However, a higher NEB usually requires a higher amount of irrigation water, which results in water shortage and cause economic losses in other sectors. Irrigation water use efficiency (IWUE) has become more important as the second goal in irrigation water resources management and planning and has attracted attention from decision makers in agriculture, especially in arid and semi‐arid regions (Tan and Zhang, 2018). More often than not, NEB and IWUE cannot be maximized at the same time.…”

Section: Introductionmentioning

confidence: 99%

Efficient and Economical Allocation of Irrigation Water under a Changing Environment: a Stochastic Multi‐Objective Nonlinear Programming Model*

Yan

2020

Irrigation and Drainage

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Water scarcity causes conflicts between natural resources and socio‐economic development which reinforces the need for optimal allocation of irrigation water resources. Irrigation water resource allocation is a complex problem due to various uncertainties in natural conditions. In this study, a stochastic multi‐objective nonlinear programming model is developed for irrigation water allocation under uncertainty. The model is capable of balancing the conflicting objectives of maximizing both net economic benefit (NEB) and irrigation water use efficiency (IWUE). Moreover, it can reflect the random nature of water availability, and provide alternative water allocation schemes in response to climate change. The applicability of the developed model is demonstrated by a case study in north‐west China. Trade‐offs between NEB and IWUE are presented. Irrigation water allocation schemes to cope with changing environments, including climate change and varying water availability, are also proposed. The results demonstrate that the developed model can generate solutions that save irrigation water while ensuring NEB. This model is a useful tool to support the formulation of optimized water resources management policies in a changing environment.

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Robust fractional programming approach for improving agricultural water-use efficiency under uncertainty

Cited by 55 publications

References 43 publications

Mathematical Programming Approaches for Modeling a Sustainable Cropping Pattern under Uncertainty: A Case Study in Southern Iran

Mathematical Programming Approaches for Modeling a Sustainable Cropping Pattern under Uncertainty: A Case Study in Southern Iran

Analysis of Agricultural Water Use Efficiency Based on Analytic Hierarchy Process and Fuzzy Comprehensive Evaluation in Xinjiang, China

Efficient and Economical Allocation of Irrigation Water under a Changing Environment: a Stochastic Multi‐Objective Nonlinear Programming Model*

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