Next Article in Journal
Research on the Optimization of Regional Green Infrastructure Network
Previous Article in Journal
Erratum: Scholten, D., et al. Towards the Comprehensive Design of Energy Infrastructures. Sustainability 2016, 8, 1291
Previous Article in Special Issue
Using Multiple Discriminant Analysis for the Assignment of Initial Water Entitlements at River Basin-Level under the Strictest Water Resources Management System Constraints in China
Article Menu

Export Article

Open AccessArticle
Sustainability 2018, 10(12), 4648; https://doi.org/10.3390/su10124648

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

1
Department of Mathematics and Center of Physics, University of Minho, 4710-057 Braga, Portugal
2
SYSTEC—Research Center for Systems and Technologies, University of Porto, 4200-465 Porto, Portugal
3
LEMA-ISEP, Instituto Politécnico do Porto, 4200-072 Porto, Portugal
4
Department of Informatics, University of Minho, 4710-057 Braga, Portugal
5
UNU-EGOV, R. Vila Flor 166, 4810-225 Guimarães, Portugal
6
INESC TEC, R. Dr. Roberto Frias, 4200-465 Porto, Portugal
*
Author to whom correspondence should be addressed.
Received: 20 October 2018 / Revised: 19 November 2018 / Accepted: 3 December 2018 / Published: 6 December 2018
(This article belongs to the Special Issue Sustainable Global Water Management)
Full-Text   |   PDF [420 KB, uploaded 6 December 2018]   |  

Abstract

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. View Full-Text
Keywords: water management; crop irrigation; sustainability; optimal control water management; crop irrigation; sustainability; optimal control
Figures

Figure 1

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
SciFeed

Share & Cite This Article

MDPI and ACS Style

Pereira, R.M.S.; Lopes, S.; Caldeira, A.; Fonte, V. Optimized Planning of Different Crops in a Field Using Optimal Control in Portugal. Sustainability 2018, 10, 4648.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Sustainability EISSN 2071-1050 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top