Optimized planning of different crops in a field using optimal control in Portugal
Autor(a) principal: | |
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Data de Publicação: | 2018 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/1822/57737 |
Resumo: | 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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Optimized planning of different crops in a field using optimal control in PortugalWater managementCrop irrigationSustainabilityOptimal controlCiências Agrárias::Agricultura, Silvicultura e PescasCiências Naturais::MatemáticasEngenharia e Tecnologia::Engenharia CivilScience & TechnologyClimate 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.The authors were supported by POCI-01-0145-FEDER-006933-SYSTEC, PTDC/EEI-AUT/2933/2014, POCI-01-0145–FEDER-016858 TOCCATTA and POCI-01-0145-FEDER-028247 To Chair–funded by FEDER funds through COMPETE2020—Programa Operacional Competitividade e Internacionalizaça˜ o (POCI) and by national funds (PIDDAC) through FCT/MCTES, which is gratefully acknowledged. Financial support from the Portuguese Foundation for Science and Technology (FCT) in the framework of the Strategic Financing UID/FIS/04650/2013 is also acknowledged. The authors also thank SMARTEGOV Project (P2020 NORTE-45-2015-23) Harnessing EGOV for smart governance. Acknowledgments The authors acknowledge the Department of Mathematics, the Centre of Physics, INESC TEC, from the University of Minho, Systec—Research Center for Systems and Technologies, from the University of Porto, UNU-EGOV Portugal and LEMA-ISEP, Instituto Politécnico do Porto.info:eu-repo/semantics/publishedVersionMDPI AGUniversidade do MinhoPereira, Rui M. S.Lopes, Sofia OliveiraCaldeira, AméliaFonte, Victor2018-12-062018-12-06T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/57737eng2071-105010.3390/su10124648https://www.mdpi.com/2071-1050/10/12/4648info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-07-21T12:29:31Zoai:repositorium.sdum.uminho.pt:1822/57737Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T19:24:31.178828Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse |
dc.title.none.fl_str_mv |
Optimized planning of different crops in a field using optimal control in Portugal |
title |
Optimized planning of different crops in a field using optimal control in Portugal |
spellingShingle |
Optimized planning of different crops in a field using optimal control in Portugal Pereira, Rui M. S. Water management Crop irrigation Sustainability Optimal control Ciências Agrárias::Agricultura, Silvicultura e Pescas Ciências Naturais::Matemáticas Engenharia e Tecnologia::Engenharia Civil Science & Technology |
title_short |
Optimized planning of different crops in a field using optimal control in Portugal |
title_full |
Optimized planning of different crops in a field using optimal control in Portugal |
title_fullStr |
Optimized planning of different crops in a field using optimal control in Portugal |
title_full_unstemmed |
Optimized planning of different crops in a field using optimal control in Portugal |
title_sort |
Optimized planning of different crops in a field using optimal control in Portugal |
author |
Pereira, Rui M. S. |
author_facet |
Pereira, Rui M. S. Lopes, Sofia Oliveira Caldeira, Amélia Fonte, Victor |
author_role |
author |
author2 |
Lopes, Sofia Oliveira Caldeira, Amélia Fonte, Victor |
author2_role |
author author author |
dc.contributor.none.fl_str_mv |
Universidade do Minho |
dc.contributor.author.fl_str_mv |
Pereira, Rui M. S. Lopes, Sofia Oliveira Caldeira, Amélia Fonte, Victor |
dc.subject.por.fl_str_mv |
Water management Crop irrigation Sustainability Optimal control Ciências Agrárias::Agricultura, Silvicultura e Pescas Ciências Naturais::Matemáticas Engenharia e Tecnologia::Engenharia Civil Science & Technology |
topic |
Water management Crop irrigation Sustainability Optimal control Ciências Agrárias::Agricultura, Silvicultura e Pescas Ciências Naturais::Matemáticas Engenharia e Tecnologia::Engenharia Civil Science & Technology |
description |
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. |
publishDate |
2018 |
dc.date.none.fl_str_mv |
2018-12-06 2018-12-06T00:00:00Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://hdl.handle.net/1822/57737 |
url |
http://hdl.handle.net/1822/57737 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
2071-1050 10.3390/su10124648 https://www.mdpi.com/2071-1050/10/12/4648 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
MDPI AG |
publisher.none.fl_str_mv |
MDPI AG |
dc.source.none.fl_str_mv |
reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
instacron_str |
RCAAP |
institution |
RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
collection |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
repository.name.fl_str_mv |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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1799132725128462336 |