Approximating spatial interactions in a model of forest dynamics
Developments in forest dynamics modelling have led to complex individual-tree distance-dependent models. Questions that arise are: how might such complex models be approximated (possibly through aggregation techniques) to obtain distribution-based models; and, when are such approximated models "equivalent" to the complex models from which they are derived. The approximation process usually involves replacing distance-dependent tree interactions by distance-independent interactions. We used a "toy model" that is derived from an individual-based distance-dependent model of a forest in French Guiana to address these methodological questions. This toy model (model I) was defined in two forms; first a short-range tree interaction (1 in): second for a long-range tree interaction (30 in). Mean-field approximations were used to convert model I into an individual-tree distance-independent model (model II) and into a distribution-based model (model III). If the starting model is model I(long-range), models II and III are shown to be equivalent to each other. Model II is also found to be "consistent" with model I(long-range). Hence. for the toy model considered, long-range interactions can be disregarded, and have no influence on forest growth predictions. On the other hand. model I(short-range) is not equivalent with models II or III. Even so, it was found to be possible to obtain, by ad hoc methods, a distribution-based model (model IV) which, by taking into account the spatial structure generated by short-range interactions, is "consistent" with model I(short range).
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Subjects: | F62 - Physiologie végétale - Croissance et développement, U10 - Informatique, mathématiques et statistiques, forêt tropicale, dynamique des populations, modèle mathématique, compétition biologique, http://aims.fao.org/aos/agrovoc/c_24904, http://aims.fao.org/aos/agrovoc/c_6111, http://aims.fao.org/aos/agrovoc/c_24199, http://aims.fao.org/aos/agrovoc/c_917, |
Online Access: | http://agritrop.cirad.fr/526260/ http://agritrop.cirad.fr/526260/1/526260.pdf |
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dig-cirad-fr-5262602024-01-28T13:34:15Z http://agritrop.cirad.fr/526260/ http://agritrop.cirad.fr/526260/ Approximating spatial interactions in a model of forest dynamics. Picard Nicolas, Franc Alain. 2004. Forest Biometry, Modelling and Information Sciences, 1 : 91-103. Approximating spatial interactions in a model of forest dynamics Picard, Nicolas Franc, Alain eng 2004 Forest Biometry, Modelling and Information Sciences F62 - Physiologie végétale - Croissance et développement U10 - Informatique, mathématiques et statistiques forêt tropicale dynamique des populations modèle mathématique compétition biologique http://aims.fao.org/aos/agrovoc/c_24904 http://aims.fao.org/aos/agrovoc/c_6111 http://aims.fao.org/aos/agrovoc/c_24199 http://aims.fao.org/aos/agrovoc/c_917 Developments in forest dynamics modelling have led to complex individual-tree distance-dependent models. Questions that arise are: how might such complex models be approximated (possibly through aggregation techniques) to obtain distribution-based models; and, when are such approximated models "equivalent" to the complex models from which they are derived. The approximation process usually involves replacing distance-dependent tree interactions by distance-independent interactions. We used a "toy model" that is derived from an individual-based distance-dependent model of a forest in French Guiana to address these methodological questions. This toy model (model I) was defined in two forms; first a short-range tree interaction (1 in): second for a long-range tree interaction (30 in). Mean-field approximations were used to convert model I into an individual-tree distance-independent model (model II) and into a distribution-based model (model III). If the starting model is model I(long-range), models II and III are shown to be equivalent to each other. Model II is also found to be "consistent" with model I(long-range). Hence. for the toy model considered, long-range interactions can be disregarded, and have no influence on forest growth predictions. On the other hand. model I(short-range) is not equivalent with models II or III. Even so, it was found to be possible to obtain, by ad hoc methods, a distribution-based model (model IV) which, by taking into account the spatial structure generated by short-range interactions, is "consistent" with model I(short range). article info:eu-repo/semantics/article Journal Article info:eu-repo/semantics/publishedVersion http://agritrop.cirad.fr/526260/1/526260.pdf text Cirad license info:eu-repo/semantics/restrictedAccess https://agritrop.cirad.fr/mention_legale.html http://catalogue-bibliotheques.cirad.fr/cgi-bin/koha/opac-detail.pl?biblionumber=186830 |
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F62 - Physiologie végétale - Croissance et développement U10 - Informatique, mathématiques et statistiques forêt tropicale dynamique des populations modèle mathématique compétition biologique http://aims.fao.org/aos/agrovoc/c_24904 http://aims.fao.org/aos/agrovoc/c_6111 http://aims.fao.org/aos/agrovoc/c_24199 http://aims.fao.org/aos/agrovoc/c_917 F62 - Physiologie végétale - Croissance et développement U10 - Informatique, mathématiques et statistiques forêt tropicale dynamique des populations modèle mathématique compétition biologique http://aims.fao.org/aos/agrovoc/c_24904 http://aims.fao.org/aos/agrovoc/c_6111 http://aims.fao.org/aos/agrovoc/c_24199 http://aims.fao.org/aos/agrovoc/c_917 |
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F62 - Physiologie végétale - Croissance et développement U10 - Informatique, mathématiques et statistiques forêt tropicale dynamique des populations modèle mathématique compétition biologique http://aims.fao.org/aos/agrovoc/c_24904 http://aims.fao.org/aos/agrovoc/c_6111 http://aims.fao.org/aos/agrovoc/c_24199 http://aims.fao.org/aos/agrovoc/c_917 F62 - Physiologie végétale - Croissance et développement U10 - Informatique, mathématiques et statistiques forêt tropicale dynamique des populations modèle mathématique compétition biologique http://aims.fao.org/aos/agrovoc/c_24904 http://aims.fao.org/aos/agrovoc/c_6111 http://aims.fao.org/aos/agrovoc/c_24199 http://aims.fao.org/aos/agrovoc/c_917 Picard, Nicolas Franc, Alain Approximating spatial interactions in a model of forest dynamics |
description |
Developments in forest dynamics modelling have led to complex individual-tree distance-dependent models. Questions that arise are: how might such complex models be approximated (possibly through aggregation techniques) to obtain distribution-based models; and, when are such approximated models "equivalent" to the complex models from which they are derived. The approximation process usually involves replacing distance-dependent tree interactions by distance-independent interactions. We used a "toy model" that is derived from an individual-based distance-dependent model of a forest in French Guiana to address these methodological questions. This toy model (model I) was defined in two forms; first a short-range tree interaction (1 in): second for a long-range tree interaction (30 in). Mean-field approximations were used to convert model I into an individual-tree distance-independent model (model II) and into a distribution-based model (model III). If the starting model is model I(long-range), models II and III are shown to be equivalent to each other. Model II is also found to be "consistent" with model I(long-range). Hence. for the toy model considered, long-range interactions can be disregarded, and have no influence on forest growth predictions. On the other hand. model I(short-range) is not equivalent with models II or III. Even so, it was found to be possible to obtain, by ad hoc methods, a distribution-based model (model IV) which, by taking into account the spatial structure generated by short-range interactions, is "consistent" with model I(short range). |
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article |
topic_facet |
F62 - Physiologie végétale - Croissance et développement U10 - Informatique, mathématiques et statistiques forêt tropicale dynamique des populations modèle mathématique compétition biologique http://aims.fao.org/aos/agrovoc/c_24904 http://aims.fao.org/aos/agrovoc/c_6111 http://aims.fao.org/aos/agrovoc/c_24199 http://aims.fao.org/aos/agrovoc/c_917 |
author |
Picard, Nicolas Franc, Alain |
author_facet |
Picard, Nicolas Franc, Alain |
author_sort |
Picard, Nicolas |
title |
Approximating spatial interactions in a model of forest dynamics |
title_short |
Approximating spatial interactions in a model of forest dynamics |
title_full |
Approximating spatial interactions in a model of forest dynamics |
title_fullStr |
Approximating spatial interactions in a model of forest dynamics |
title_full_unstemmed |
Approximating spatial interactions in a model of forest dynamics |
title_sort |
approximating spatial interactions in a model of forest dynamics |
url |
http://agritrop.cirad.fr/526260/ http://agritrop.cirad.fr/526260/1/526260.pdf |
work_keys_str_mv |
AT picardnicolas approximatingspatialinteractionsinamodelofforestdynamics AT francalain approximatingspatialinteractionsinamodelofforestdynamics |
_version_ |
1792496175000059904 |