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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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, |
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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 |
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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 |
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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. |
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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/ |
work_keys_str_mv |
AT francalain aggregationanddisaggregationbetweenindividualbasedanddistributionbasedmodelsacasestudyonparacouexperimentalplotsfrenchguiana AT picardnicolas aggregationanddisaggregationbetweenindividualbasedanddistributionbasedmodelsacasestudyonparacouexperimentalplotsfrenchguiana |
_version_ |
1792491570342133760 |