Stochastic optimal control of agrochemical pollutant loads in reservoirs for irrigation

Mabaya, Goden; Unami, Koichi; Fujihara, Masayuki

doi:10.1016/j.jclepro.2016.05.108

Cited by 17 publications

(8 citation statements)

References 30 publications

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“…where the solution is constrained by and must adhere to quality targets [17,42,91]). The mathematical programming techniques applied in this research include linear programming [80,103,178,197], nonlinear programming [17,91,121,150,155,206], dynamic programming [138,174,241], stochastic programming [33,42,70,99,128,139,141,187,207,208,224,225,240], and quadratic programming [86,113].…”

Section: Water Qualitymentioning

confidence: 99%

Review of Mathematical Programming Applications in Water Resource Management Under Uncertainty

Archibald

Marshall

2018

Environ Model Assess

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Economic development, variation in weather patterns and natural disasters focus attention on the management of water resources. This paper reviews the literature on the development of mathematical programming models for water resource management under uncertainty between 2010 and 2017. A systematic search of the academic literature identified 448 journal articles on water resource management for examination. Bibliometric analysis is employed to investigate the methods that researchers are currently using to address this problem and to identify recent trends in research in the area. The research reveals that stochastic dynamic programming and multistage stochastic programming are the methods most commonly applied. Water resource allocation, climate change, water quality and agricultural irrigation are amongst the most frequently discussed topics in the literature. A more detailed examination of the literature on each of these topics is included. The findings suggest that there is a need for mathematical programming models of large-scale water systems that deal with uncertainty and multiobjectives in an effective and computationally efficient way.

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Section: Water Qualitymentioning

confidence: 99%

Review of Mathematical Programming Applications in Water Resource Management Under Uncertainty

Archibald

Marshall

2018

Environ Model Assess

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“…Eutrophication of downstream waters associated with the excess nitrate pollutant runoff is a major environmental concern in the agricultural sector. The next paper entitled "Stochastic optimal control of agrochemical pollutant loads in reservoirs for irrigation" by Mabaya et al (2016) proposed a novel approach to minimise such pollutant runoff. They proposed a novel model based on the Markov decision process (MDP) to formulate the optimal operating policies for controlling the stochastic agrochemical pollutant loads in the reservoirs for irrigation.…”

Section: Low Emission Technologymentioning

confidence: 99%

“…The model was applied to an irrigation reservoir in Japan that is prone to nitrate pollution from the upslope of the green tea plantations. They found that the irrigation reservoirs can be operated at an optimum storage volume below 10 % to control the agro-fertiliser pollutants while satisfying the irrigation demand of the area (Mabaya et al, 2016). The optimised operation can protect the water source from pollution while sustaining the productivity in the agricultural area.…”

Section: Low Emission Technologymentioning

confidence: 99%

Sustaining the low-carbon emission development in Asia and beyond: Sustainable energy, water, transportation and low-carbon emission technology

Lee

Hashim

et al. 2017

Journal of Cleaner Production

173

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Climate change is global issues with significant economic, social and environmental implications. Climate change mitigation in Asia has large impacts on global CO 2 emission reduction. CO 2 emission is the largest source of greenhouse gas emission constitutes about 65 % of the total emission. Low-carbon Society initiative is one of the various mechanisms that have been deployed to achieve green economic growth, societal well-being and development, environmental preservation and management in a holistic manner. Energy efficiency improvement in Asia will be a key factor to tackle the climate change issues. Water and energy conservation, green transportation and low emission technology are the key aspects to catalyse the shift towards climate-resilient economic growth. The latest developments in these aspects are reviewed in this special volume to sustain the development of low-carbon emission in Asian countries. The use of holistic management system to integrate these key areas for long-term sustainability goal is also highlighted.

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“…Although operational practices for water resources management in the real-world are dominantly based on empirical knowledge, theories of inventory optimization are applicable to rationalizing such practices as well as seeking better policies, see e.g. [7,8,14,22,23]. In dynamic contexts, formulation of an optimal control problem is the universal and rigorous mathematical approach to deduce an optimal policy based on the principle of DP, where the Bellman equation governs the value function which is the supremum or the infimum of a performance index [3].…”

Section: Introductionmentioning

confidence: 99%

Time periodic optimal policy for operation of a water storage tank using the dynamic programming approach

Unami

Mohawesh

Fadhil

2019

Applied Mathematics and Computation

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Operation of a water storage tank in a specific environment motivates mathematical studies on a discrete-time deterministic dynamic programming problem. The operator decides whether or not to open the valve releasing the water in the tank to a drip irrigation system, based on the information on the storage volume of the tank. Two cases of functional regularity, which are Lipschitz continuous and of bounded variations, are considered for the reward defining the performance index to be maximized. Firstly, it is shown that the value function inherits the Lipschitz continuity of the reward in the infinite time horizon problem with discounting. Then, time periodic value functions are discussed in terms of the fixedpoint theorem. Discrete approximation of value functions is discussed as well, to conduct numerical experiments with a-posteriori error estimation applied to the real-world problem where the discount rate approaches to unity. It is found that a Skiba point appears as a threshold of valve opening for each day in an optimal policy for operation. Practically, setting a constant threshold throughout the period is quite reasonable and acceptable for the operator of the water storage tank to irrigate the farmland.

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Stochastic optimal control of agrochemical pollutant loads in reservoirs for irrigation

Cited by 17 publications

References 30 publications

Review of Mathematical Programming Applications in Water Resource Management Under Uncertainty

Review of Mathematical Programming Applications in Water Resource Management Under Uncertainty

Sustaining the low-carbon emission development in Asia and beyond: Sustainable energy, water, transportation and low-carbon emission technology

Time periodic optimal policy for operation of a water storage tank using the dynamic programming approach

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