Optimal Control for an Irrigation Problem with Several Fields and Common Reservoir

Lopes, Sofia O.; Fontes, Fernando A. C. C.

doi:10.1007/978-3-319-43671-5_16

Cited by 2 publications

(1 citation statement)

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“…The possibility for the farmer to build a reservoir (also considered in [17]) of a given capacity to collect rainwater was considered, and it was the basis for the second mathematical model proposed in this paper. Since climate change is showing us that water availability is going to drop, planning a proper reservoir to collect rainfall is crucial to preserve the crops and increase profit.…”

Section: Introductionmentioning

confidence: 99%

Optimized Planning of Different Crops in a Field Using Optimal Control in Portugal

et al. 2018

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Climate change is a proven fact. In the report of 2007 from IPCC, one can read that global warming is an issue to be dealt with urgently. In many parts of the world, the estimated rise of temperature (in a very near future) is significant. One of the most affected regions is the Iberian Peninsula, where the increasing need for water will very soon be a problem. Therefore, it is necessary that decision makers are able to decide on all issues related to water management. In this paper, we show a couple of mathematical models that can aid the decision making in the management of an agricultural field at a given location. Having a field, in which different crops can be produced, the solution of the first model indicates the area that should be used for each crop so that the profit is as large as possible, while the water spent is the smallest possible guaranteeing the water requirements of each crop. Using known data for these crops in Portugal, including costs of labour, machines, energy and water, as well as the estimated value of the products obtained, the first mathematical model developed, via optimal control theory, obtains the best management solution. It allows creating different scenarios, thus it can be a valuable tool to help the farmer/decision maker decide the crop and its area to be cultivated. A second mathematical model was developed. It improves the first one, in the sense that it allows considering that water from the rainfall can be collected in a reservoir with a given capacity. The contribution of the collected water from the rainfall in the profit obtained for some different scenarios is also shown.

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Section: Introductionmentioning

confidence: 99%

Optimized Planning of Different Crops in a Field Using Optimal Control in Portugal

et al. 2018

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Hands on Experiments about Water Needs in Agriculture and Their Mathematical Modelling under Climate Change

Malheiro

Pereira

Gonçalves

et al. 2019

Proceedings of the 2019 3rd International Conference on E-Society, E-Education and E-Technology

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In this paper, we intend to present the planning of experiences that can be presented to students of school age. These experiments have the goal of sensitizing students to climate changes, the problem of water scarcity and the need to save it. At the same time, the experiences give an opportunity to show through concrete cases how Mathematics can model natural phenomena in order to understand them better and predict future behavior. Agriculture is the economic sector that spends more water with low degree of efficiency (about 60 %). Efficient irrigation systems are necessary, and smart irrigation systems are being designed and implemented in our research group, https://sofialope6.wixsite.com/to-chair. In order to achieve smart irrigation, complex mathematical models were developed and programmed in MatLab/Octave. However, purpose of this paper is to motivate students to this issue. In particular, we intend to show how mathematics can be a fun, and valuable tool to understand many concepts linked with smart irrigation. We describe a set of simple experiments, that can easily be performed at home, that may be a valuable tool to understand "hands on" concepts like soil differences, evapotranspiration, soil moisture and infiltration of water in the soil and efficiency of the water used. CCS Concepts • Applied computing➝Interactive learning environments • Mathematics of computing➝Probability and statistics.

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Optimal Control for an Irrigation Problem with Several Fields and Common Reservoir

Cited by 2 publications

References 10 publications

Optimized Planning of Different Crops in a Field Using Optimal Control in Portugal

Optimized Planning of Different Crops in a Field Using Optimal Control in Portugal

Hands on Experiments about Water Needs in Agriculture and Their Mathematical Modelling under Climate Change

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