Clustering species using a model of population dynamics and aggregation theory

The high species diversity of some ecosystems like tropical rainforests goes in pair with the scarcity of data for most species. This hinders the development of models that require enough data for fitting. The solution commonly adopted by modellers consists in grouping species to form more sizeable data sets. Classical methods for grouping species such as hierarchical cluster analysis do not take account of the variability of the species characteristics used for clustering. In this study a clustering method based on aggregation theory is presented. It takes account of the variability of species characteristics by searching for the grouping that minimizes the quadratic error (square bias plus variance) of some model's prediction. This method allows one to check whether the gain in variance brought by data pooling compensate for the bias that it introduces. This method was applied to a data set on 94 tree species in a tropical rainforest in French Guiana, using a Usher matrix model to predict species dynamics. An optimal trade-off between bias and variance was found when grouping species. Grouping species appeared to decrease the quadratic error, except when the number of groups was very small. This clustering method yielded species groups similar to those of the hierarchical cluster analysis using Ward's method when variance was small, that is when the number of groups was small.

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Bibliographic Details
Main Authors: Picard, Nicolas, Mortier, Frédéric, Rossi, Vivien, Gourlet-Fleury, Sylvie
Format: article biblioteca
Language:eng
Subjects:U10 - Informatique, mathématiques et statistiques, K01 - Foresterie - Considérations générales, F40 - Écologie végétale, forêt tropicale humide, espèce, classification, modèle mathématique, peuplement forestier, dynamique des populations, http://aims.fao.org/aos/agrovoc/c_7976, http://aims.fao.org/aos/agrovoc/c_7280, http://aims.fao.org/aos/agrovoc/c_1653, http://aims.fao.org/aos/agrovoc/c_24199, http://aims.fao.org/aos/agrovoc/c_28080, http://aims.fao.org/aos/agrovoc/c_6111, http://aims.fao.org/aos/agrovoc/c_3093, http://aims.fao.org/aos/agrovoc/c_3081,
Online Access:http://agritrop.cirad.fr/552415/
http://agritrop.cirad.fr/552415/1/552415.pdf
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spelling dig-cirad-fr-5524152024-01-28T17:49:52Z http://agritrop.cirad.fr/552415/ http://agritrop.cirad.fr/552415/ Clustering species using a model of population dynamics and aggregation theory. Picard Nicolas, Mortier Frédéric, Rossi Vivien, Gourlet-Fleury Sylvie. 2010. Ecological Modelling, 221 (2) : 152-160.https://doi.org/10.1016/j.ecolmodel.2009.10.013 <https://doi.org/10.1016/j.ecolmodel.2009.10.013> Clustering species using a model of population dynamics and aggregation theory Picard, Nicolas Mortier, Frédéric Rossi, Vivien Gourlet-Fleury, Sylvie eng 2010 Ecological Modelling U10 - Informatique, mathématiques et statistiques K01 - Foresterie - Considérations générales F40 - Écologie végétale forêt tropicale humide espèce classification modèle mathématique peuplement forestier dynamique des populations http://aims.fao.org/aos/agrovoc/c_7976 http://aims.fao.org/aos/agrovoc/c_7280 http://aims.fao.org/aos/agrovoc/c_1653 http://aims.fao.org/aos/agrovoc/c_24199 http://aims.fao.org/aos/agrovoc/c_28080 http://aims.fao.org/aos/agrovoc/c_6111 Guyane française France http://aims.fao.org/aos/agrovoc/c_3093 http://aims.fao.org/aos/agrovoc/c_3081 The high species diversity of some ecosystems like tropical rainforests goes in pair with the scarcity of data for most species. This hinders the development of models that require enough data for fitting. The solution commonly adopted by modellers consists in grouping species to form more sizeable data sets. Classical methods for grouping species such as hierarchical cluster analysis do not take account of the variability of the species characteristics used for clustering. In this study a clustering method based on aggregation theory is presented. It takes account of the variability of species characteristics by searching for the grouping that minimizes the quadratic error (square bias plus variance) of some model's prediction. This method allows one to check whether the gain in variance brought by data pooling compensate for the bias that it introduces. This method was applied to a data set on 94 tree species in a tropical rainforest in French Guiana, using a Usher matrix model to predict species dynamics. An optimal trade-off between bias and variance was found when grouping species. Grouping species appeared to decrease the quadratic error, except when the number of groups was very small. This clustering method yielded species groups similar to those of the hierarchical cluster analysis using Ward's method when variance was small, that is when the number of groups was small. article info:eu-repo/semantics/article Journal Article info:eu-repo/semantics/publishedVersion http://agritrop.cirad.fr/552415/1/552415.pdf text Cirad license info:eu-repo/semantics/restrictedAccess https://agritrop.cirad.fr/mention_legale.html https://doi.org/10.1016/j.ecolmodel.2009.10.013 10.1016/j.ecolmodel.2009.10.013 http://catalogue-bibliotheques.cirad.fr/cgi-bin/koha/opac-detail.pl?biblionumber=206675 info:eu-repo/semantics/altIdentifier/doi/10.1016/j.ecolmodel.2009.10.013 info:eu-repo/semantics/altIdentifier/purl/https://doi.org/10.1016/j.ecolmodel.2009.10.013
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 U10 - Informatique, mathématiques et statistiques
K01 - Foresterie - Considérations générales
F40 - Écologie végétale
forêt tropicale humide
espèce
classification
modèle mathématique
peuplement forestier
dynamique des populations
http://aims.fao.org/aos/agrovoc/c_7976
http://aims.fao.org/aos/agrovoc/c_7280
http://aims.fao.org/aos/agrovoc/c_1653
http://aims.fao.org/aos/agrovoc/c_24199
http://aims.fao.org/aos/agrovoc/c_28080
http://aims.fao.org/aos/agrovoc/c_6111
http://aims.fao.org/aos/agrovoc/c_3093
http://aims.fao.org/aos/agrovoc/c_3081
U10 - Informatique, mathématiques et statistiques
K01 - Foresterie - Considérations générales
F40 - Écologie végétale
forêt tropicale humide
espèce
classification
modèle mathématique
peuplement forestier
dynamique des populations
http://aims.fao.org/aos/agrovoc/c_7976
http://aims.fao.org/aos/agrovoc/c_7280
http://aims.fao.org/aos/agrovoc/c_1653
http://aims.fao.org/aos/agrovoc/c_24199
http://aims.fao.org/aos/agrovoc/c_28080
http://aims.fao.org/aos/agrovoc/c_6111
http://aims.fao.org/aos/agrovoc/c_3093
http://aims.fao.org/aos/agrovoc/c_3081
spellingShingle U10 - Informatique, mathématiques et statistiques
K01 - Foresterie - Considérations générales
F40 - Écologie végétale
forêt tropicale humide
espèce
classification
modèle mathématique
peuplement forestier
dynamique des populations
http://aims.fao.org/aos/agrovoc/c_7976
http://aims.fao.org/aos/agrovoc/c_7280
http://aims.fao.org/aos/agrovoc/c_1653
http://aims.fao.org/aos/agrovoc/c_24199
http://aims.fao.org/aos/agrovoc/c_28080
http://aims.fao.org/aos/agrovoc/c_6111
http://aims.fao.org/aos/agrovoc/c_3093
http://aims.fao.org/aos/agrovoc/c_3081
U10 - Informatique, mathématiques et statistiques
K01 - Foresterie - Considérations générales
F40 - Écologie végétale
forêt tropicale humide
espèce
classification
modèle mathématique
peuplement forestier
dynamique des populations
http://aims.fao.org/aos/agrovoc/c_7976
http://aims.fao.org/aos/agrovoc/c_7280
http://aims.fao.org/aos/agrovoc/c_1653
http://aims.fao.org/aos/agrovoc/c_24199
http://aims.fao.org/aos/agrovoc/c_28080
http://aims.fao.org/aos/agrovoc/c_6111
http://aims.fao.org/aos/agrovoc/c_3093
http://aims.fao.org/aos/agrovoc/c_3081
Picard, Nicolas
Mortier, Frédéric
Rossi, Vivien
Gourlet-Fleury, Sylvie
Clustering species using a model of population dynamics and aggregation theory
description The high species diversity of some ecosystems like tropical rainforests goes in pair with the scarcity of data for most species. This hinders the development of models that require enough data for fitting. The solution commonly adopted by modellers consists in grouping species to form more sizeable data sets. Classical methods for grouping species such as hierarchical cluster analysis do not take account of the variability of the species characteristics used for clustering. In this study a clustering method based on aggregation theory is presented. It takes account of the variability of species characteristics by searching for the grouping that minimizes the quadratic error (square bias plus variance) of some model's prediction. This method allows one to check whether the gain in variance brought by data pooling compensate for the bias that it introduces. This method was applied to a data set on 94 tree species in a tropical rainforest in French Guiana, using a Usher matrix model to predict species dynamics. An optimal trade-off between bias and variance was found when grouping species. Grouping species appeared to decrease the quadratic error, except when the number of groups was very small. This clustering method yielded species groups similar to those of the hierarchical cluster analysis using Ward's method when variance was small, that is when the number of groups was small.
format article
topic_facet U10 - Informatique, mathématiques et statistiques
K01 - Foresterie - Considérations générales
F40 - Écologie végétale
forêt tropicale humide
espèce
classification
modèle mathématique
peuplement forestier
dynamique des populations
http://aims.fao.org/aos/agrovoc/c_7976
http://aims.fao.org/aos/agrovoc/c_7280
http://aims.fao.org/aos/agrovoc/c_1653
http://aims.fao.org/aos/agrovoc/c_24199
http://aims.fao.org/aos/agrovoc/c_28080
http://aims.fao.org/aos/agrovoc/c_6111
http://aims.fao.org/aos/agrovoc/c_3093
http://aims.fao.org/aos/agrovoc/c_3081
author Picard, Nicolas
Mortier, Frédéric
Rossi, Vivien
Gourlet-Fleury, Sylvie
author_facet Picard, Nicolas
Mortier, Frédéric
Rossi, Vivien
Gourlet-Fleury, Sylvie
author_sort Picard, Nicolas
title Clustering species using a model of population dynamics and aggregation theory
title_short Clustering species using a model of population dynamics and aggregation theory
title_full Clustering species using a model of population dynamics and aggregation theory
title_fullStr Clustering species using a model of population dynamics and aggregation theory
title_full_unstemmed Clustering species using a model of population dynamics and aggregation theory
title_sort clustering species using a model of population dynamics and aggregation theory
url http://agritrop.cirad.fr/552415/
http://agritrop.cirad.fr/552415/1/552415.pdf
work_keys_str_mv AT picardnicolas clusteringspeciesusingamodelofpopulationdynamicsandaggregationtheory
AT mortierfrederic clusteringspeciesusingamodelofpopulationdynamicsandaggregationtheory
AT rossivivien clusteringspeciesusingamodelofpopulationdynamicsandaggregationtheory
AT gourletfleurysylvie clusteringspeciesusingamodelofpopulationdynamicsandaggregationtheory
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