Estimator of upgrowth transition rates for size-classified matrix from small samples
Matrix models can incorporate demographic, environmental or sampling stochasticity. The first two have intensively been studied, and we shall focus on the latter. It comes from the uncertainty on the estimation of vital rates, that generates an uncertainty on the model predictions. When dealing with size-classified models, the continuous information brought by the size may or may not be taken into consideration to estimate vital rates. The proportion estimator is obtained in the former case, whereas the increment estimator is obtained in the latter case. We compared these two estimators on the basis of their bias, variance and probability of being null, and applied the results to a tropical rain forest in French Guiana. The proportion estimator is unbiased, whereas the increment estimator is generally biased. We specified some conditions under which the increment estimator is also unbiased. However, the increment estimator generally has a lower asymptotic variance than the proportion estimator. As a consequence, the increment estimator is generally more efficient than the proportion estimator for small samples. Moreover, the increment estimator cannot bring null estimates, contrary to the proportion estimator, which reinforces its suitability for small samples. © 2007 Elsevier B.V. All rights reserved.
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Subjects: | U10 - Informatique, mathématiques et statistiques, K10 - Production forestière, modèle mathématique, modèle de simulation, forêt tropicale humide, échantillonnage, http://aims.fao.org/aos/agrovoc/c_24199, http://aims.fao.org/aos/agrovoc/c_24242, http://aims.fao.org/aos/agrovoc/c_7976, http://aims.fao.org/aos/agrovoc/c_6774, http://aims.fao.org/aos/agrovoc/c_3423, |
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dig-cirad-fr-5385382024-01-28T15:10:41Z http://agritrop.cirad.fr/538538/ http://agritrop.cirad.fr/538538/ Estimator of upgrowth transition rates for size-classified matrix from small samples. Picard Nicolas, Bar-Hen Avner, Gourlet-Fleury Sylvie. 2007. Ecological Modelling, 204 : 59-69.https://doi.org/10.1016/j.ecolmodel.2006.12.016 <https://doi.org/10.1016/j.ecolmodel.2006.12.016> Estimator of upgrowth transition rates for size-classified matrix from small samples Picard, Nicolas Bar-Hen, Avner Gourlet-Fleury, Sylvie eng 2007 Ecological Modelling U10 - Informatique, mathématiques et statistiques K10 - Production forestière modèle mathématique modèle de simulation forêt tropicale humide échantillonnage http://aims.fao.org/aos/agrovoc/c_24199 http://aims.fao.org/aos/agrovoc/c_24242 http://aims.fao.org/aos/agrovoc/c_7976 http://aims.fao.org/aos/agrovoc/c_6774 Guinée http://aims.fao.org/aos/agrovoc/c_3423 Matrix models can incorporate demographic, environmental or sampling stochasticity. The first two have intensively been studied, and we shall focus on the latter. It comes from the uncertainty on the estimation of vital rates, that generates an uncertainty on the model predictions. When dealing with size-classified models, the continuous information brought by the size may or may not be taken into consideration to estimate vital rates. The proportion estimator is obtained in the former case, whereas the increment estimator is obtained in the latter case. We compared these two estimators on the basis of their bias, variance and probability of being null, and applied the results to a tropical rain forest in French Guiana. The proportion estimator is unbiased, whereas the increment estimator is generally biased. We specified some conditions under which the increment estimator is also unbiased. However, the increment estimator generally has a lower asymptotic variance than the proportion estimator. As a consequence, the increment estimator is generally more efficient than the proportion estimator for small samples. Moreover, the increment estimator cannot bring null estimates, contrary to the proportion estimator, which reinforces its suitability for small samples. © 2007 Elsevier B.V. All rights reserved. article info:eu-repo/semantics/article Journal Article info:eu-repo/semantics/publishedVersion http://agritrop.cirad.fr/538538/1/document_538538.pdf application/pdf Cirad license info:eu-repo/semantics/restrictedAccess https://agritrop.cirad.fr/mention_legale.html https://doi.org/10.1016/j.ecolmodel.2006.12.016 10.1016/j.ecolmodel.2006.12.016 http://catalogue-bibliotheques.cirad.fr/cgi-bin/koha/opac-detail.pl?biblionumber=196498 info:eu-repo/semantics/altIdentifier/doi/10.1016/j.ecolmodel.2006.12.016 info:eu-repo/semantics/altIdentifier/purl/https://doi.org/10.1016/j.ecolmodel.2006.12.016 |
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U10 - Informatique, mathématiques et statistiques K10 - Production forestière modèle mathématique modèle de simulation forêt tropicale humide échantillonnage http://aims.fao.org/aos/agrovoc/c_24199 http://aims.fao.org/aos/agrovoc/c_24242 http://aims.fao.org/aos/agrovoc/c_7976 http://aims.fao.org/aos/agrovoc/c_6774 http://aims.fao.org/aos/agrovoc/c_3423 U10 - Informatique, mathématiques et statistiques K10 - Production forestière modèle mathématique modèle de simulation forêt tropicale humide échantillonnage http://aims.fao.org/aos/agrovoc/c_24199 http://aims.fao.org/aos/agrovoc/c_24242 http://aims.fao.org/aos/agrovoc/c_7976 http://aims.fao.org/aos/agrovoc/c_6774 http://aims.fao.org/aos/agrovoc/c_3423 |
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U10 - Informatique, mathématiques et statistiques K10 - Production forestière modèle mathématique modèle de simulation forêt tropicale humide échantillonnage http://aims.fao.org/aos/agrovoc/c_24199 http://aims.fao.org/aos/agrovoc/c_24242 http://aims.fao.org/aos/agrovoc/c_7976 http://aims.fao.org/aos/agrovoc/c_6774 http://aims.fao.org/aos/agrovoc/c_3423 U10 - Informatique, mathématiques et statistiques K10 - Production forestière modèle mathématique modèle de simulation forêt tropicale humide échantillonnage http://aims.fao.org/aos/agrovoc/c_24199 http://aims.fao.org/aos/agrovoc/c_24242 http://aims.fao.org/aos/agrovoc/c_7976 http://aims.fao.org/aos/agrovoc/c_6774 http://aims.fao.org/aos/agrovoc/c_3423 Picard, Nicolas Bar-Hen, Avner Gourlet-Fleury, Sylvie Estimator of upgrowth transition rates for size-classified matrix from small samples |
description |
Matrix models can incorporate demographic, environmental or sampling stochasticity. The first two have intensively been studied, and we shall focus on the latter. It comes from the uncertainty on the estimation of vital rates, that generates an uncertainty on the model predictions. When dealing with size-classified models, the continuous information brought by the size may or may not be taken into consideration to estimate vital rates. The proportion estimator is obtained in the former case, whereas the increment estimator is obtained in the latter case. We compared these two estimators on the basis of their bias, variance and probability of being null, and applied the results to a tropical rain forest in French Guiana. The proportion estimator is unbiased, whereas the increment estimator is generally biased. We specified some conditions under which the increment estimator is also unbiased. However, the increment estimator generally has a lower asymptotic variance than the proportion estimator. As a consequence, the increment estimator is generally more efficient than the proportion estimator for small samples. Moreover, the increment estimator cannot bring null estimates, contrary to the proportion estimator, which reinforces its suitability for small samples. © 2007 Elsevier B.V. All rights reserved. |
format |
article |
topic_facet |
U10 - Informatique, mathématiques et statistiques K10 - Production forestière modèle mathématique modèle de simulation forêt tropicale humide échantillonnage http://aims.fao.org/aos/agrovoc/c_24199 http://aims.fao.org/aos/agrovoc/c_24242 http://aims.fao.org/aos/agrovoc/c_7976 http://aims.fao.org/aos/agrovoc/c_6774 http://aims.fao.org/aos/agrovoc/c_3423 |
author |
Picard, Nicolas Bar-Hen, Avner Gourlet-Fleury, Sylvie |
author_facet |
Picard, Nicolas Bar-Hen, Avner Gourlet-Fleury, Sylvie |
author_sort |
Picard, Nicolas |
title |
Estimator of upgrowth transition rates for size-classified matrix from small samples |
title_short |
Estimator of upgrowth transition rates for size-classified matrix from small samples |
title_full |
Estimator of upgrowth transition rates for size-classified matrix from small samples |
title_fullStr |
Estimator of upgrowth transition rates for size-classified matrix from small samples |
title_full_unstemmed |
Estimator of upgrowth transition rates for size-classified matrix from small samples |
title_sort |
estimator of upgrowth transition rates for size-classified matrix from small samples |
url |
http://agritrop.cirad.fr/538538/ http://agritrop.cirad.fr/538538/1/document_538538.pdf |
work_keys_str_mv |
AT picardnicolas estimatorofupgrowthtransitionratesforsizeclassifiedmatrixfromsmallsamples AT barhenavner estimatorofupgrowthtransitionratesforsizeclassifiedmatrixfromsmallsamples AT gourletfleurysylvie estimatorofupgrowthtransitionratesforsizeclassifiedmatrixfromsmallsamples |
_version_ |
1792496652597067776 |