A mathematical model for zoning of protected natural areas

Autores
Verdiell, Adriana Beatriz; Sabatini, M.; Maciel, Maria Cristina; Rodríguez Iglesias, Ricardo Manuel
Año de publicación
2005
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
When formulated in mathematical terms, the problem of zoning a protected natural area subject to both box and spatial constraints results in a combinatorial optimization problem belonging to the NP-hard class. This fact and the usual dimension of the problem (regularly in the tens of thousands order) suggest the need to apply a heuristic approach. In this contribution we describe a quantitative method for zoning protected natural areas based on a simulated annealing algorithm. Building upon previous work by Bos (1993), we introduce three main innovations (a quadratic function of distance between land units, a non-symmetric matrix of compatibilities among uses, and a spatial connection constraint) that make the approach applicable for ecological purposes. When applied to solving small-size simulated problems, the results were indistinguishable from those obtained via an exact, enumerative method. A coarse-scale zoning of Talampaya National Park (Argentina) rendered maps remarkably similar to those produced by subject area experts using a non-quantitative consensus-seeking approach. Results are encouraging and show particular potential for the periodical update of zoning of protected natural areas. Such a capability is crucial for application in developing countries where both human and financial resources are usually scarce but still critical for updating zoning and management plans.
Fil: Verdiell, Adriana Beatriz. Universidad Nacional del Sur; Argentina
Fil: Sabatini, M.. Universidad Nacional del Sur. Departamento de Agronomía; Argentina
Fil: Maciel, Maria Cristina. Universidad Nacional del Sur. Departamento de Agronomía; Argentina
Fil: Rodríguez Iglesias, Ricardo Manuel. Universidad Nacional del Sur. Departamento de Agronomía; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina
Materia
COMBINATORIAL OPTIMIZATION
HEURISTICS
PROTECTED AREAS
QUADRATIC ASSIGNMENT PROBLEM
SIMULATED ANNEALING
ZONING
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/97527
Acceder
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network_acronym_str CONICETDig
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network_name_str CONICET Digital (CONICET)
spelling A mathematical model for zoning of protected natural areasVerdiell, Adriana BeatrizSabatini, M.Maciel, Maria CristinaRodríguez Iglesias, Ricardo ManuelCOMBINATORIAL OPTIMIZATIONHEURISTICSPROTECTED AREASQUADRATIC ASSIGNMENT PROBLEMSIMULATED ANNEALINGZONINGhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1When formulated in mathematical terms, the problem of zoning a protected natural area subject to both box and spatial constraints results in a combinatorial optimization problem belonging to the NP-hard class. This fact and the usual dimension of the problem (regularly in the tens of thousands order) suggest the need to apply a heuristic approach. In this contribution we describe a quantitative method for zoning protected natural areas based on a simulated annealing algorithm. Building upon previous work by Bos (1993), we introduce three main innovations (a quadratic function of distance between land units, a non-symmetric matrix of compatibilities among uses, and a spatial connection constraint) that make the approach applicable for ecological purposes. When applied to solving small-size simulated problems, the results were indistinguishable from those obtained via an exact, enumerative method. A coarse-scale zoning of Talampaya National Park (Argentina) rendered maps remarkably similar to those produced by subject area experts using a non-quantitative consensus-seeking approach. Results are encouraging and show particular potential for the periodical update of zoning of protected natural areas. Such a capability is crucial for application in developing countries where both human and financial resources are usually scarce but still critical for updating zoning and management plans.Fil: Verdiell, Adriana Beatriz. Universidad Nacional del Sur; ArgentinaFil: Sabatini, M.. Universidad Nacional del Sur. Departamento de Agronomía; ArgentinaFil: Maciel, Maria Cristina. Universidad Nacional del Sur. Departamento de Agronomía; ArgentinaFil: Rodríguez Iglesias, Ricardo Manuel. Universidad Nacional del Sur. Departamento de Agronomía; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; ArgentinaBlackwell Publishing2005-04info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/97527Verdiell, Adriana Beatriz; Sabatini, M.; Maciel, Maria Cristina; Rodríguez Iglesias, Ricardo Manuel; A mathematical model for zoning of protected natural areas; Blackwell Publishing; International Transactions in Operational Research; 12; 2; 4-2005; 203-2130969-6016CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://onlinelibrary.wiley.com/doi/abs/10.1111/j.1475-3995.2005.00498.xinfo:eu-repo/semantics/altIdentifier/doi/10.1111/j.1475-3995.2005.00498.xinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T12:12:45Zoai:ri.conicet.gov.ar:11336/97527instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-10-22 12:12:45.47CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv A mathematical model for zoning of protected natural areas
title A mathematical model for zoning of protected natural areas
spellingShingle A mathematical model for zoning of protected natural areas
Verdiell, Adriana Beatriz
COMBINATORIAL OPTIMIZATION
HEURISTICS
PROTECTED AREAS
QUADRATIC ASSIGNMENT PROBLEM
SIMULATED ANNEALING
ZONING
title_short A mathematical model for zoning of protected natural areas
title_full A mathematical model for zoning of protected natural areas
title_fullStr A mathematical model for zoning of protected natural areas
title_full_unstemmed A mathematical model for zoning of protected natural areas
title_sort A mathematical model for zoning of protected natural areas
dc.creator.none.fl_str_mv Verdiell, Adriana Beatriz
Sabatini, M.
Maciel, Maria Cristina
Rodríguez Iglesias, Ricardo Manuel
author Verdiell, Adriana Beatriz
author_facet Verdiell, Adriana Beatriz
Sabatini, M.
Maciel, Maria Cristina
Rodríguez Iglesias, Ricardo Manuel
author_role author
author2 Sabatini, M.
Maciel, Maria Cristina
Rodríguez Iglesias, Ricardo Manuel
author2_role author
author
author
dc.subject.none.fl_str_mv COMBINATORIAL OPTIMIZATION
HEURISTICS
PROTECTED AREAS
QUADRATIC ASSIGNMENT PROBLEM
SIMULATED ANNEALING
ZONING
topic COMBINATORIAL OPTIMIZATION
HEURISTICS
PROTECTED AREAS
QUADRATIC ASSIGNMENT PROBLEM
SIMULATED ANNEALING
ZONING
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv When formulated in mathematical terms, the problem of zoning a protected natural area subject to both box and spatial constraints results in a combinatorial optimization problem belonging to the NP-hard class. This fact and the usual dimension of the problem (regularly in the tens of thousands order) suggest the need to apply a heuristic approach. In this contribution we describe a quantitative method for zoning protected natural areas based on a simulated annealing algorithm. Building upon previous work by Bos (1993), we introduce three main innovations (a quadratic function of distance between land units, a non-symmetric matrix of compatibilities among uses, and a spatial connection constraint) that make the approach applicable for ecological purposes. When applied to solving small-size simulated problems, the results were indistinguishable from those obtained via an exact, enumerative method. A coarse-scale zoning of Talampaya National Park (Argentina) rendered maps remarkably similar to those produced by subject area experts using a non-quantitative consensus-seeking approach. Results are encouraging and show particular potential for the periodical update of zoning of protected natural areas. Such a capability is crucial for application in developing countries where both human and financial resources are usually scarce but still critical for updating zoning and management plans.
Fil: Verdiell, Adriana Beatriz. Universidad Nacional del Sur; Argentina
Fil: Sabatini, M.. Universidad Nacional del Sur. Departamento de Agronomía; Argentina
Fil: Maciel, Maria Cristina. Universidad Nacional del Sur. Departamento de Agronomía; Argentina
Fil: Rodríguez Iglesias, Ricardo Manuel. Universidad Nacional del Sur. Departamento de Agronomía; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina
description When formulated in mathematical terms, the problem of zoning a protected natural area subject to both box and spatial constraints results in a combinatorial optimization problem belonging to the NP-hard class. This fact and the usual dimension of the problem (regularly in the tens of thousands order) suggest the need to apply a heuristic approach. In this contribution we describe a quantitative method for zoning protected natural areas based on a simulated annealing algorithm. Building upon previous work by Bos (1993), we introduce three main innovations (a quadratic function of distance between land units, a non-symmetric matrix of compatibilities among uses, and a spatial connection constraint) that make the approach applicable for ecological purposes. When applied to solving small-size simulated problems, the results were indistinguishable from those obtained via an exact, enumerative method. A coarse-scale zoning of Talampaya National Park (Argentina) rendered maps remarkably similar to those produced by subject area experts using a non-quantitative consensus-seeking approach. Results are encouraging and show particular potential for the periodical update of zoning of protected natural areas. Such a capability is crucial for application in developing countries where both human and financial resources are usually scarce but still critical for updating zoning and management plans.
publishDate 2005
dc.date.none.fl_str_mv 2005-04
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/97527
Verdiell, Adriana Beatriz; Sabatini, M.; Maciel, Maria Cristina; Rodríguez Iglesias, Ricardo Manuel; A mathematical model for zoning of protected natural areas; Blackwell Publishing; International Transactions in Operational Research; 12; 2; 4-2005; 203-213
0969-6016
CONICET Digital
CONICET
url http://hdl.handle.net/11336/97527
identifier_str_mv Verdiell, Adriana Beatriz; Sabatini, M.; Maciel, Maria Cristina; Rodríguez Iglesias, Ricardo Manuel; A mathematical model for zoning of protected natural areas; Blackwell Publishing; International Transactions in Operational Research; 12; 2; 4-2005; 203-213
0969-6016
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://onlinelibrary.wiley.com/doi/abs/10.1111/j.1475-3995.2005.00498.x
info:eu-repo/semantics/altIdentifier/doi/10.1111/j.1475-3995.2005.00498.x
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Blackwell Publishing
publisher.none.fl_str_mv Blackwell Publishing
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 12.982451

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