Equivalence of allometric models and pantropical flexible allometry
Estimating total aerial biomass, and carbon, in tropical forests is a critical task for forest management and carbon markets, for which various allometric models have been developed for this purpose. Pantropical, multi-species and multi-site models, try to develop estimates for the general case of l...
| Main Authors: | , |
|---|---|
| Format: | Online |
| Language: | spa |
| Published: |
Instituto de Ecología, A.C.
2021
|
| Online Access: | https://myb.ojs.inecol.mx/index.php/myb/article/view/2444 |
| _version_ | 1799769439217909760 |
|---|---|
| author | Paz-Pellat, Fernando Velázquez-Rodríguez, Alma |
| author_facet | Paz-Pellat, Fernando Velázquez-Rodríguez, Alma |
| author_sort | Paz-Pellat, Fernando |
| collection | MYB |
| description | Estimating total aerial biomass, and carbon, in tropical forests is a critical task for forest management and carbon markets, for which various allometric models have been developed for this purpose. Pantropical, multi-species and multi-site models, try to develop estimates for the general case of lack of knowledge of specific local models. The application of allometric models is based on the selection of the "best" model using some metric of the estimation error. To put into perspective the equivalence of the main models used in the literature, under a simple algebraic approach, this paper presents the equivalences between the analyzed models, which are parameterized by simple linear regression in the log-log space, using a pantropical database (tropical forests) with 4004 measurements at 58 sites in the world, which includes measurements of diameter at breast height (D) and total height (H), as well as measurements or estimates of wood density (ρ). The results support the equivalence of the allometric models. Additionally, a parameterization of the allometric models was carried out utilizing the pantropical database using simple linear regression of the logarithmic transformations of the models. The results show that the model that uses D, H and ρ at the local level (density classes or sites) results in the estimation with the lowest error. The pantropical allometric model estimated from the database has been proposed as a global model, although with a discussion about its applicability in relation to local models. An approach to the global model is introduced by parameterizing a model as a function of the density of the wood and two approaches in relation to the exponent of the analyzed potential relationship. The results show that the pantropical models developed show slightly better estimates than the pantropical model in use, giving flexibility to the estimation error when associating it with the wood density of the tree species. |
| format | Online |
| id | oai:oai.myb.ojs.inecol.mx:article-2444 |
| institution | Madera y Bosques |
| language | spa |
| publishDate | 2021 |
| publisher | Instituto de Ecología, A.C. |
| record_format | ojs |
| spelling | oai:oai.myb.ojs.inecol.mx:article-24442022-11-29T22:22:00Z Equivalence of allometric models and pantropical flexible allometry Equivalencia entre modelos alométricos y alometría pantropical flexible Paz-Pellat, Fernando Velázquez-Rodríguez, Alma bosques tropicales densidad de la madera modelos generales relación entre constantes y exponentes transformación logarítmica tropical forests wood density general models relationship between constants and exponents logarithmic transformation Estimating total aerial biomass, and carbon, in tropical forests is a critical task for forest management and carbon markets, for which various allometric models have been developed for this purpose. Pantropical, multi-species and multi-site models, try to develop estimates for the general case of lack of knowledge of specific local models. The application of allometric models is based on the selection of the "best" model using some metric of the estimation error. To put into perspective the equivalence of the main models used in the literature, under a simple algebraic approach, this paper presents the equivalences between the analyzed models, which are parameterized by simple linear regression in the log-log space, using a pantropical database (tropical forests) with 4004 measurements at 58 sites in the world, which includes measurements of diameter at breast height (D) and total height (H), as well as measurements or estimates of wood density (ρ). The results support the equivalence of the allometric models. Additionally, a parameterization of the allometric models was carried out utilizing the pantropical database using simple linear regression of the logarithmic transformations of the models. The results show that the model that uses D, H and ρ at the local level (density classes or sites) results in the estimation with the lowest error. The pantropical allometric model estimated from the database has been proposed as a global model, although with a discussion about its applicability in relation to local models. An approach to the global model is introduced by parameterizing a model as a function of the density of the wood and two approaches in relation to the exponent of the analyzed potential relationship. The results show that the pantropical models developed show slightly better estimates than the pantropical model in use, giving flexibility to the estimation error when associating it with the wood density of the tree species. La estimación de la biomasa aérea total en bosques tropicales es una tarea crítica para la gestión forestal y los mercados del carbono. Los modelos pantropicales multiespecies y multisitios tratan de desarrollar estimaciones para el caso general de falta de conocimiento de modelos locales específicos. Bajo un enfoque algebraico simple, este trabajo presenta las equivalencias entre los modelos analizados, los cuales son parametrizados por regresión lineal simple en el espacio log-log mediante una base de datos pantropical (bosques tropicales), con 4004 mediciones en 58 sitios en el mundo; incluye mediciones del diámetro a la altura del pecho (D) y altura total (H), así como estimaciones de la densidad de la madera (ρ). Los resultados soportan la equivalencia de los modelos alométricos. Adicionalmente se realizó una parametrización de los modelos alométricos usando la base de datos pantropical a través de regresión lineal simple de las transformaciones logarítmicas de los modelos. El modelo que usa D, H y ρ a nivel local (clases de densidad o sitios) resulta en la estimación con menor error. El modelo alométrico pantropical estimado se propone como un modelo global; aunque con una discusión sobre su aplicabilidad con relación a los modelos locales. Una aproximación al modelo global es introducida al parametrizar un modelo en función de la densidad de la madera y dos enfoques con relación al exponente de la relación potencial analizada. Los modelos pantropicales desarrollados muestran estimaciones ligeramente mejores que el modelo pantropical, dando flexibilidad al error de estimación al asociarlo a la densidad de la madera de las especies de árboles. Instituto de Ecología, A.C. 2021-12-02 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Artículo evaluado por pares application/pdf text/xml https://myb.ojs.inecol.mx/index.php/myb/article/view/2444 10.21829/myb.2021.2742444 Madera y Bosques; Vol. 27 No. 4 (2021): Special issue. Winter 2021; e2742444 Madera y Bosques; Vol. 27 Núm. 4 (2021): Número especial. Invierno 2021; e2742444 2448-7597 1405-0471 spa https://myb.ojs.inecol.mx/index.php/myb/article/view/2444/2270 https://myb.ojs.inecol.mx/index.php/myb/article/view/2444/2300 10.21829/myb.2019.251423 10.21829/myb.2018.242507 http://creativecommons.org/licenses/by-nc-sa/4.0 |
| spellingShingle | Paz-Pellat, Fernando Velázquez-Rodríguez, Alma Equivalence of allometric models and pantropical flexible allometry |
| title | Equivalence of allometric models and pantropical flexible allometry |
| title_full | Equivalence of allometric models and pantropical flexible allometry |
| title_fullStr | Equivalence of allometric models and pantropical flexible allometry |
| title_full_unstemmed | Equivalence of allometric models and pantropical flexible allometry |
| title_short | Equivalence of allometric models and pantropical flexible allometry |
| title_sort | equivalence of allometric models and pantropical flexible allometry |
| url | https://myb.ojs.inecol.mx/index.php/myb/article/view/2444 |
| work_keys_str_mv | AT pazpellatfernando equivalenceofallometricmodelsandpantropicalflexibleallometry AT velazquezrodriguezalma equivalenceofallometricmodelsandpantropicalflexibleallometry AT pazpellatfernando equivalenciaentremodelosalometricosyalometriapantropicalflexible AT velazquezrodriguezalma equivalenciaentremodelosalometricosyalometriapantropicalflexible |
