Aggregation and disaggregation between individual-based and distribution-based models: a case study on paracou experimental plots, French Guiana

Forest growth and gap models have classically been divided into three main categories depending on the scale they refer to: stand models, distribution models or individual based models. Most of the time, a modeler chooses one of this level and designs his/her model from assumptions derived from the question the model is expected to answer to: yield prognosis, silviculture simulation, dynamic resource inventories. The question addressed in this presentation is the study of the coherence between those three scales. When a detailed model such as an individual based one has been designed, it seems easy to degrade it into a coarser one, by averaging over individual for example. At the same time, it is possible to design a model on the evolution of the average itself, regardless of the individual value distributions. If both methods lead to the same evolution of, say, the average value, then it is said that the individual based model can be aggregated. Our paper will address this topic on two directions: first as a mathematical based approach to study whether this property is a usual or exceptional in dynamical system, where it will be proved related to some eigenvalues in linear systems. Second as a case study between individual based and distribution models on data in Paracou experimental plots in French Guiana, where trees have been measured individually every three years since 1984, using a Forska type individual based model on one hand and an existing Usher-like matrix model on the other. As a conclusion, the feasability and difficulties of aggregation will be discussed.

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Bibliographic Details
Main Authors: Franc, Alain, Picard, Nicolas
Format: conference_item biblioteca
Language:eng
Published: CATIE
Subjects:K10 - Production forestière, U10 - Informatique, mathématiques et statistiques, forêt primaire, croissance, modèle de simulation, http://aims.fao.org/aos/agrovoc/c_28112, http://aims.fao.org/aos/agrovoc/c_3394, http://aims.fao.org/aos/agrovoc/c_24242, http://aims.fao.org/aos/agrovoc/c_3093, http://aims.fao.org/aos/agrovoc/c_3081,
Online Access:http://agritrop.cirad.fr/392137/
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spelling dig-cirad-fr-3921372024-01-27T23:58:30Z http://agritrop.cirad.fr/392137/ http://agritrop.cirad.fr/392137/ Aggregation and disaggregation between individual-based and distribution-based models: a case study on paracou experimental plots, French Guiana. Franc Alain, Picard Nicolas. 1999. In : Long-term of observations and research in forestry. Proceedings of the IURFO S4.11 international symposium held at CATIE, Turrialba, Costa Rica. February 23-27, 1999. Kleinn C. (ed.), Köhl M. (ed.). Turrialba : CATIE, 159-175. Long-Term of Observations and Research in Forestry, Turrialba, Costa Rica, 23 Février 1999/27 Février 1999. Aggregation and disaggregation between individual-based and distribution-based models: a case study on paracou experimental plots, French Guiana Franc, Alain Picard, Nicolas eng 1999 CATIE Long-term of observations and research in forestry. Proceedings of the IURFO S4.11 international symposium held at CATIE, Turrialba, Costa Rica. February 23-27, 1999 K10 - Production forestière U10 - Informatique, mathématiques et statistiques forêt primaire croissance modèle de simulation http://aims.fao.org/aos/agrovoc/c_28112 http://aims.fao.org/aos/agrovoc/c_3394 http://aims.fao.org/aos/agrovoc/c_24242 Guyane française France http://aims.fao.org/aos/agrovoc/c_3093 http://aims.fao.org/aos/agrovoc/c_3081 Forest growth and gap models have classically been divided into three main categories depending on the scale they refer to: stand models, distribution models or individual based models. Most of the time, a modeler chooses one of this level and designs his/her model from assumptions derived from the question the model is expected to answer to: yield prognosis, silviculture simulation, dynamic resource inventories. The question addressed in this presentation is the study of the coherence between those three scales. When a detailed model such as an individual based one has been designed, it seems easy to degrade it into a coarser one, by averaging over individual for example. At the same time, it is possible to design a model on the evolution of the average itself, regardless of the individual value distributions. If both methods lead to the same evolution of, say, the average value, then it is said that the individual based model can be aggregated. Our paper will address this topic on two directions: first as a mathematical based approach to study whether this property is a usual or exceptional in dynamical system, where it will be proved related to some eigenvalues in linear systems. Second as a case study between individual based and distribution models on data in Paracou experimental plots in French Guiana, where trees have been measured individually every three years since 1984, using a Forska type individual based model on one hand and an existing Usher-like matrix model on the other. As a conclusion, the feasability and difficulties of aggregation will be discussed. conference_item info:eu-repo/semantics/conferenceObject Conference info:eu-repo/semantics/closedAccess
institution CIRAD FR
collection DSpace
country Francia
countrycode FR
component Bibliográfico
access En linea
databasecode dig-cirad-fr
tag biblioteca
region Europa del Oeste
libraryname Biblioteca del CIRAD Francia
language eng
topic K10 - Production forestière
U10 - Informatique, mathématiques et statistiques
forêt primaire
croissance
modèle de simulation
http://aims.fao.org/aos/agrovoc/c_28112
http://aims.fao.org/aos/agrovoc/c_3394
http://aims.fao.org/aos/agrovoc/c_24242
http://aims.fao.org/aos/agrovoc/c_3093
http://aims.fao.org/aos/agrovoc/c_3081
K10 - Production forestière
U10 - Informatique, mathématiques et statistiques
forêt primaire
croissance
modèle de simulation
http://aims.fao.org/aos/agrovoc/c_28112
http://aims.fao.org/aos/agrovoc/c_3394
http://aims.fao.org/aos/agrovoc/c_24242
http://aims.fao.org/aos/agrovoc/c_3093
http://aims.fao.org/aos/agrovoc/c_3081
spellingShingle K10 - Production forestière
U10 - Informatique, mathématiques et statistiques
forêt primaire
croissance
modèle de simulation
http://aims.fao.org/aos/agrovoc/c_28112
http://aims.fao.org/aos/agrovoc/c_3394
http://aims.fao.org/aos/agrovoc/c_24242
http://aims.fao.org/aos/agrovoc/c_3093
http://aims.fao.org/aos/agrovoc/c_3081
K10 - Production forestière
U10 - Informatique, mathématiques et statistiques
forêt primaire
croissance
modèle de simulation
http://aims.fao.org/aos/agrovoc/c_28112
http://aims.fao.org/aos/agrovoc/c_3394
http://aims.fao.org/aos/agrovoc/c_24242
http://aims.fao.org/aos/agrovoc/c_3093
http://aims.fao.org/aos/agrovoc/c_3081
Franc, Alain
Picard, Nicolas
Aggregation and disaggregation between individual-based and distribution-based models: a case study on paracou experimental plots, French Guiana
description Forest growth and gap models have classically been divided into three main categories depending on the scale they refer to: stand models, distribution models or individual based models. Most of the time, a modeler chooses one of this level and designs his/her model from assumptions derived from the question the model is expected to answer to: yield prognosis, silviculture simulation, dynamic resource inventories. The question addressed in this presentation is the study of the coherence between those three scales. When a detailed model such as an individual based one has been designed, it seems easy to degrade it into a coarser one, by averaging over individual for example. At the same time, it is possible to design a model on the evolution of the average itself, regardless of the individual value distributions. If both methods lead to the same evolution of, say, the average value, then it is said that the individual based model can be aggregated. Our paper will address this topic on two directions: first as a mathematical based approach to study whether this property is a usual or exceptional in dynamical system, where it will be proved related to some eigenvalues in linear systems. Second as a case study between individual based and distribution models on data in Paracou experimental plots in French Guiana, where trees have been measured individually every three years since 1984, using a Forska type individual based model on one hand and an existing Usher-like matrix model on the other. As a conclusion, the feasability and difficulties of aggregation will be discussed.
format conference_item
topic_facet K10 - Production forestière
U10 - Informatique, mathématiques et statistiques
forêt primaire
croissance
modèle de simulation
http://aims.fao.org/aos/agrovoc/c_28112
http://aims.fao.org/aos/agrovoc/c_3394
http://aims.fao.org/aos/agrovoc/c_24242
http://aims.fao.org/aos/agrovoc/c_3093
http://aims.fao.org/aos/agrovoc/c_3081
author Franc, Alain
Picard, Nicolas
author_facet Franc, Alain
Picard, Nicolas
author_sort Franc, Alain
title Aggregation and disaggregation between individual-based and distribution-based models: a case study on paracou experimental plots, French Guiana
title_short Aggregation and disaggregation between individual-based and distribution-based models: a case study on paracou experimental plots, French Guiana
title_full Aggregation and disaggregation between individual-based and distribution-based models: a case study on paracou experimental plots, French Guiana
title_fullStr Aggregation and disaggregation between individual-based and distribution-based models: a case study on paracou experimental plots, French Guiana
title_full_unstemmed Aggregation and disaggregation between individual-based and distribution-based models: a case study on paracou experimental plots, French Guiana
title_sort aggregation and disaggregation between individual-based and distribution-based models: a case study on paracou experimental plots, french guiana
publisher CATIE
url http://agritrop.cirad.fr/392137/
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AT picardnicolas aggregationanddisaggregationbetweenindividualbasedanddistributionbasedmodelsacasestudyonparacouexperimentalplotsfrenchguiana
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