Generalized allometry for the estimation of total aerial biomass of woody plants: Theoretical general framework and its applications

Estimates of total aerial biomass and carbon are important in relation to carbon markets and forest productivity, so it is important to develop cost-effective methods that reduce the uncertainty in the estimates. The use of allometric equations between total aerial biomass, and trunk or total volume...

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Main Authors: Paz Pellat, Fernando, Velázquez Rodríguez, Alma, Sánchez Sánchez, Cristóbal, Salas Aguilar, Víctor, Méndez González, Jorge, Acosta Mireles, Miguel, Nájera Luna, Juan Abel
Format: Online
Language:spa
Published: Instituto de Ecología, A.C. 2021
Online Access:https://myb.ojs.inecol.mx/index.php/myb/article/view/2442
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author Paz Pellat, Fernando
Velázquez Rodríguez, Alma
Sánchez Sánchez, Cristóbal
Salas Aguilar, Víctor
Méndez González, Jorge
Acosta Mireles, Miguel
Nájera Luna, Juan Abel
author_facet Paz Pellat, Fernando
Velázquez Rodríguez, Alma
Sánchez Sánchez, Cristóbal
Salas Aguilar, Víctor
Méndez González, Jorge
Acosta Mireles, Miguel
Nájera Luna, Juan Abel
author_sort Paz Pellat, Fernando
collection MYB
description Estimates of total aerial biomass and carbon are important in relation to carbon markets and forest productivity, so it is important to develop cost-effective methods that reduce the uncertainty in the estimates. The use of allometric equations between total aerial biomass, and trunk or total volume, and normal diameter and total height is common practice in forest inventories, with the use of specific and generalized models, with different levels of uncertainty. In the literature, various methodologies have been proposed to simplify the use of allometric relationships, with some proposals with correct bases, but without exploring their implications and understanding the associated mathematics. In this paper a general theoretical framework of the relations between the exponents and constants and, between exponents of the allometric equations is presented, using as a base simple mathematics. The theoretical framework is applied to a base of parameters of allometric relationships and a set of data bases of field measurements, resulting in estimations comparable to the classic allometric equations, but only with the use of the relationship between total height and normal diameter. The theoretical proposal is explored in its consequences, generating recommendations for a paradigm shift in the allometric developments for woody plants.
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spelling oai:oai.myb.ojs.inecol.mx:article-24422022-11-29T22:22:02Z Generalized allometry for the estimation of total aerial biomass of woody plants: Theoretical general framework and its applications Alometría generalizada para la estimación de la biomasa aérea total de plantas leñosas: marco teórico general y aplicaciones Paz Pellat, Fernando Velázquez Rodríguez, Alma Sánchez Sánchez, Cristóbal Salas Aguilar, Víctor Méndez González, Jorge Acosta Mireles, Miguel Nájera Luna, Juan Abel carbono estimaciones locales y generalizadas relación entre constantes y exponentes unidades de medida carbon local and generalized estimations relations among constants and exponents measurement units Estimates of total aerial biomass and carbon are important in relation to carbon markets and forest productivity, so it is important to develop cost-effective methods that reduce the uncertainty in the estimates. The use of allometric equations between total aerial biomass, and trunk or total volume, and normal diameter and total height is common practice in forest inventories, with the use of specific and generalized models, with different levels of uncertainty. In the literature, various methodologies have been proposed to simplify the use of allometric relationships, with some proposals with correct bases, but without exploring their implications and understanding the associated mathematics. In this paper a general theoretical framework of the relations between the exponents and constants and, between exponents of the allometric equations is presented, using as a base simple mathematics. The theoretical framework is applied to a base of parameters of allometric relationships and a set of data bases of field measurements, resulting in estimations comparable to the classic allometric equations, but only with the use of the relationship between total height and normal diameter. The theoretical proposal is explored in its consequences, generating recommendations for a paradigm shift in the allometric developments for woody plants. La cuantificación de la biomasa aérea y carbono total es importante en el contexto de los mercados del carbono y la productividad forestal, por lo que es necesario el desarrollo de métodos cuantitativos costo-efectivos que reduzcan la incertidumbre en sus estimaciones. El uso de ecuaciones alométricas entre la biomasa aérea total y volumen del fuste o total y entre el diámetro normal y la altura total es práctica común en la evaluación de recursos forestales, donde se usan modelos específicos y generalizados, con diferentes niveles de incertidumbre. En la literatura se han propuesto diversas metodologías para simplificar el uso de tales relaciones alométricas, sugiriendo algunas con bases correctas, pero sin explorar sus implicaciones y matemáticas asociadas. En este trabajo se presenta un marco teórico general de las relaciones entre constantes y exponentes, así como entre exponentes, de ciertas ecuaciones alométricas, usando bases matemáticas relativamente simples. Seguido del desarrollo del marco teórico, se usa una base de parámetros de relaciones alométricas y un conjunto de bases de datos de mediciones de campo. Con lo anterior se obtiene, como resultado las estimaciones que son comparables a las ecuaciones alométricas clásicas, pero con el uso de solo la relación altura total-diámetro normal. Se exploran las consecuencias de la propuesta teórica y se generan recomendaciones para cambiar el paradigma en los desarrollos alométricos tradicionales para plantas leñosas. 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/2442 10.21829/myb.2021.2742442 Madera y Bosques; Vol. 27 No. 4 (2021): Special issue. Winter 2021 Madera y Bosques; Vol. 27 Núm. 4 (2021): Número especial. Invierno 2021 2448-7597 1405-0471 spa https://myb.ojs.inecol.mx/index.php/myb/article/view/2442/2267 https://myb.ojs.inecol.mx/index.php/myb/article/view/2442/2299 10.21829/myb.2018.242414 10.21829/myb.2018.243506 http://creativecommons.org/licenses/by-nc-sa/4.0
spellingShingle Paz Pellat, Fernando
Velázquez Rodríguez, Alma
Sánchez Sánchez, Cristóbal
Salas Aguilar, Víctor
Méndez González, Jorge
Acosta Mireles, Miguel
Nájera Luna, Juan Abel
Generalized allometry for the estimation of total aerial biomass of woody plants: Theoretical general framework and its applications
title Generalized allometry for the estimation of total aerial biomass of woody plants: Theoretical general framework and its applications
title_full Generalized allometry for the estimation of total aerial biomass of woody plants: Theoretical general framework and its applications
title_fullStr Generalized allometry for the estimation of total aerial biomass of woody plants: Theoretical general framework and its applications
title_full_unstemmed Generalized allometry for the estimation of total aerial biomass of woody plants: Theoretical general framework and its applications
title_short Generalized allometry for the estimation of total aerial biomass of woody plants: Theoretical general framework and its applications
title_sort generalized allometry for the estimation of total aerial biomass of woody plants: theoretical general framework and its applications
url https://myb.ojs.inecol.mx/index.php/myb/article/view/2442
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