Matrix model of forest dynamics: An overview and outlook
The Matrix model uses transition matrices to predict future plant and animal population structures. Having been used to study the dynamics of forests all over the world, the Matrix model is thriving in forestry, with applications covering a wide array of areas. Despite its extensive application in forestry, the Matrix model is still suffering from a lack of due attention and appropriate understanding, especially on its advantages and limitations in comparison with those of other forest dynamics models. To facilitate further research and applications, a synthetic review of Matrix models is provided here with an emphasis on its mathematical properties and relationship with other forest dynamics models. In this article, we first introduce the general structure of Matrix models and its representation of forest dynamics components, i.e., upgrowth, mortality, and recruitment. Then, we summarize key properties of Matrix models, including basic assumptions, density dependence, size class width and time step, and the estimation of forest dynamics components will be summarized. Next, we evaluate advantages and limitations of the Matrix model and its relationship with other forest dynamics models. Finally, we share our perspective on the major challenges and future outlooks of Matrix models.
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Subjects: | U10 - Informatique, mathématiques et statistiques, K01 - Foresterie - Considérations générales, F62 - Physiologie végétale - Croissance et développement, peuplement forestier, forêt, modèle mathématique, croissance, mortalité, dynamique des populations, densité du peuplement, http://aims.fao.org/aos/agrovoc/c_28080, http://aims.fao.org/aos/agrovoc/c_3062, http://aims.fao.org/aos/agrovoc/c_24199, http://aims.fao.org/aos/agrovoc/c_3394, http://aims.fao.org/aos/agrovoc/c_4945, http://aims.fao.org/aos/agrovoc/c_6111, http://aims.fao.org/aos/agrovoc/c_35781, |
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dig-cirad-fr-5701212024-01-28T21:35:00Z http://agritrop.cirad.fr/570121/ http://agritrop.cirad.fr/570121/ Matrix model of forest dynamics: An overview and outlook. Liang Jingjing, Picard Nicolas. 2013. Forest Science, 59 (3) : 359-378.https://doi.org/10.5849/forsci.11-123 <https://doi.org/10.5849/forsci.11-123> Matrix model of forest dynamics: An overview and outlook Liang, Jingjing Picard, Nicolas eng 2013 Forest Science U10 - Informatique, mathématiques et statistiques K01 - Foresterie - Considérations générales F62 - Physiologie végétale - Croissance et développement peuplement forestier forêt modèle mathématique croissance mortalité dynamique des populations densité du peuplement http://aims.fao.org/aos/agrovoc/c_28080 http://aims.fao.org/aos/agrovoc/c_3062 http://aims.fao.org/aos/agrovoc/c_24199 http://aims.fao.org/aos/agrovoc/c_3394 http://aims.fao.org/aos/agrovoc/c_4945 http://aims.fao.org/aos/agrovoc/c_6111 http://aims.fao.org/aos/agrovoc/c_35781 The Matrix model uses transition matrices to predict future plant and animal population structures. Having been used to study the dynamics of forests all over the world, the Matrix model is thriving in forestry, with applications covering a wide array of areas. Despite its extensive application in forestry, the Matrix model is still suffering from a lack of due attention and appropriate understanding, especially on its advantages and limitations in comparison with those of other forest dynamics models. To facilitate further research and applications, a synthetic review of Matrix models is provided here with an emphasis on its mathematical properties and relationship with other forest dynamics models. In this article, we first introduce the general structure of Matrix models and its representation of forest dynamics components, i.e., upgrowth, mortality, and recruitment. Then, we summarize key properties of Matrix models, including basic assumptions, density dependence, size class width and time step, and the estimation of forest dynamics components will be summarized. Next, we evaluate advantages and limitations of the Matrix model and its relationship with other forest dynamics models. Finally, we share our perspective on the major challenges and future outlooks of Matrix models. article info:eu-repo/semantics/article Journal Article info:eu-repo/semantics/publishedVersion http://agritrop.cirad.fr/570121/1/document_570121.pdf application/pdf Cirad license info:eu-repo/semantics/restrictedAccess https://agritrop.cirad.fr/mention_legale.html https://doi.org/10.5849/forsci.11-123 10.5849/forsci.11-123 info:eu-repo/semantics/altIdentifier/doi/10.5849/forsci.11-123 info:eu-repo/semantics/altIdentifier/purl/https://doi.org/10.5849/forsci.11-123 |
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U10 - Informatique, mathématiques et statistiques K01 - Foresterie - Considérations générales F62 - Physiologie végétale - Croissance et développement peuplement forestier forêt modèle mathématique croissance mortalité dynamique des populations densité du peuplement http://aims.fao.org/aos/agrovoc/c_28080 http://aims.fao.org/aos/agrovoc/c_3062 http://aims.fao.org/aos/agrovoc/c_24199 http://aims.fao.org/aos/agrovoc/c_3394 http://aims.fao.org/aos/agrovoc/c_4945 http://aims.fao.org/aos/agrovoc/c_6111 http://aims.fao.org/aos/agrovoc/c_35781 U10 - Informatique, mathématiques et statistiques K01 - Foresterie - Considérations générales F62 - Physiologie végétale - Croissance et développement peuplement forestier forêt modèle mathématique croissance mortalité dynamique des populations densité du peuplement http://aims.fao.org/aos/agrovoc/c_28080 http://aims.fao.org/aos/agrovoc/c_3062 http://aims.fao.org/aos/agrovoc/c_24199 http://aims.fao.org/aos/agrovoc/c_3394 http://aims.fao.org/aos/agrovoc/c_4945 http://aims.fao.org/aos/agrovoc/c_6111 http://aims.fao.org/aos/agrovoc/c_35781 |
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U10 - Informatique, mathématiques et statistiques K01 - Foresterie - Considérations générales F62 - Physiologie végétale - Croissance et développement peuplement forestier forêt modèle mathématique croissance mortalité dynamique des populations densité du peuplement http://aims.fao.org/aos/agrovoc/c_28080 http://aims.fao.org/aos/agrovoc/c_3062 http://aims.fao.org/aos/agrovoc/c_24199 http://aims.fao.org/aos/agrovoc/c_3394 http://aims.fao.org/aos/agrovoc/c_4945 http://aims.fao.org/aos/agrovoc/c_6111 http://aims.fao.org/aos/agrovoc/c_35781 U10 - Informatique, mathématiques et statistiques K01 - Foresterie - Considérations générales F62 - Physiologie végétale - Croissance et développement peuplement forestier forêt modèle mathématique croissance mortalité dynamique des populations densité du peuplement http://aims.fao.org/aos/agrovoc/c_28080 http://aims.fao.org/aos/agrovoc/c_3062 http://aims.fao.org/aos/agrovoc/c_24199 http://aims.fao.org/aos/agrovoc/c_3394 http://aims.fao.org/aos/agrovoc/c_4945 http://aims.fao.org/aos/agrovoc/c_6111 http://aims.fao.org/aos/agrovoc/c_35781 Liang, Jingjing Picard, Nicolas Matrix model of forest dynamics: An overview and outlook |
description |
The Matrix model uses transition matrices to predict future plant and animal population structures. Having been used to study the dynamics of forests all over the world, the Matrix model is thriving in forestry, with applications covering a wide array of areas. Despite its extensive application in forestry, the Matrix model is still suffering from a lack of due attention and appropriate understanding, especially on its advantages and limitations in comparison with those of other forest dynamics models. To facilitate further research and applications, a synthetic review of Matrix models is provided here with an emphasis on its mathematical properties and relationship with other forest dynamics models. In this article, we first introduce the general structure of Matrix models and its representation of forest dynamics components, i.e., upgrowth, mortality, and recruitment. Then, we summarize key properties of Matrix models, including basic assumptions, density dependence, size class width and time step, and the estimation of forest dynamics components will be summarized. Next, we evaluate advantages and limitations of the Matrix model and its relationship with other forest dynamics models. Finally, we share our perspective on the major challenges and future outlooks of Matrix models. |
format |
article |
topic_facet |
U10 - Informatique, mathématiques et statistiques K01 - Foresterie - Considérations générales F62 - Physiologie végétale - Croissance et développement peuplement forestier forêt modèle mathématique croissance mortalité dynamique des populations densité du peuplement http://aims.fao.org/aos/agrovoc/c_28080 http://aims.fao.org/aos/agrovoc/c_3062 http://aims.fao.org/aos/agrovoc/c_24199 http://aims.fao.org/aos/agrovoc/c_3394 http://aims.fao.org/aos/agrovoc/c_4945 http://aims.fao.org/aos/agrovoc/c_6111 http://aims.fao.org/aos/agrovoc/c_35781 |
author |
Liang, Jingjing Picard, Nicolas |
author_facet |
Liang, Jingjing Picard, Nicolas |
author_sort |
Liang, Jingjing |
title |
Matrix model of forest dynamics: An overview and outlook |
title_short |
Matrix model of forest dynamics: An overview and outlook |
title_full |
Matrix model of forest dynamics: An overview and outlook |
title_fullStr |
Matrix model of forest dynamics: An overview and outlook |
title_full_unstemmed |
Matrix model of forest dynamics: An overview and outlook |
title_sort |
matrix model of forest dynamics: an overview and outlook |
url |
http://agritrop.cirad.fr/570121/ http://agritrop.cirad.fr/570121/1/document_570121.pdf |
work_keys_str_mv |
AT liangjingjing matrixmodelofforestdynamicsanoverviewandoutlook AT picardnicolas matrixmodelofforestdynamicsanoverviewandoutlook |
_version_ |
1792498509112410112 |