Growth Equations in Forest Research: Mathematical Basis and Model Similarities

Primer Autor
Salas-Eljatib, Christian,
Co-autores
Mehtatalo, Lauri
Gregoire, Timothy G.
Soto, Daniel P.
Vargas-Gaete, Rodrigo
Título
Growth Equations in Forest Research: Mathematical Basis and Model Similarities
Editorial
SPRINGER INT PUBL AG
Revista
CURRENT FORESTRY REPORTS
Lenguaje
en
Resumen
Purpose of Review Growth equations have been widely used in forest research, commonly to assess ecosystem-level behavior and forest management. Nevertheless, the large number of growth equations has obscured the growth-rate behavior of each of these equations and several different terms for referring to common phenomena. This review presents a unified mathematical treatment of growth-rates besides several well-known growth equations by giving their mathematical basis and representing their behavior using tree growth data as an example. Recent Findings We highlight the mathematical differences among several growth equations that can be better understood by using their differential equations forms rather than their integrated forms. Moreover, the assumed-and-claimed biological basis of these growth-rate models has been taken too seriously in forest research. The focus should be on using a plausible equation for the organism being modelled. We point out that more attention should be drawn to parameter estimation strategies and behavior analysis of the proposed models. Thus, it is difficult for a single model to capture all possible shapes and rates that such a complex biological process as tree growth can depict in nature. We pointed out misleading concepts attributed to some growth equations, however, the differences come from their mathematical properties rather than pure biological reasoning. Using the tree growth data, we depict those differences. Thus, comparisons of some functional forms (at least simple ones) must be carried out before selecting a function for drawing scientific findings.
Tipo de Recurso
artículo original
Description
This study was supported by the Chilean research grants Fondecyt No. 1191816 and FONDEF No. ID19-10421, Academy of Finland Flagship Programme (UNITE, decision number 337655), and ANID BASAL FB210015.
Este estudio fue apoyado por las becas de investigación chilenas Fondecyt No. 1191816 y FONDEF No. ID19-10421, el Programa Insignia de la Academia de Finlandia (UNITE, decisión número 337655) y ANID BASAL FB210015.
doi
10.1007/s40725-021-00145-8
Formato Recurso
PDF
Palabras Claves
Differential equations
Growth-rates
von Bertalanffy
Logistic
Trees
BASAL-AREA GROWTH
HEIGHT-GROWTH
PLANT-GROWTH
TREE DIAMETER
YIELD
LIGHT
PARAMETERS
VEGETATION
STRATEGY
NITROGEN
Ubicación del archivo
http://dx.doi.org/10.1007/s40725-021-00145-8
Categoría OCDE
Silvicultura
Materias
Ecuaciones diferenciales
Tasas de crecimiento
von Bertalanffy
Logística
Árboles
CRECIMIENTO DEL ÁREA BASAL
ALTURA-CRECIMIENTO
CRECIMIENTO DE PLANTAS
DIÁMETRO DEL ÁRBOL
RENDIMIENTO
LUZ
PARÁMETROS
VEGETACIÓN
ESTRATEGIA
NITRÓGENO
Disciplinas de la OCDE
Silvicultura
Matemáticas Aplicadas
Otras Especialidades de la Biología
Título de la cita (Recomendado-único)
Growth Equations in Forest Research: Mathematical Basis and Model Similarities
Página de inicio (Recomendado-único)
230
Página final (Recomendado-único)
244
Identificador del recurso (Mandatado-único)
artículo original
Versión del recurso (Recomendado-único)
version publicada
Condición de la licencia (Recomendado-repetible)
0
Derechos de acceso
restringido
Access Rights
restringido
Referencia del Financiador (Mandatado si es aplicable-repetible)
ANID-BASAL FB210015
ANID-FONDECYT 1191816
ANID-FONDEF 1910421
Academy of Finland Flagship Programme (UNITE) [337655
ANID BASAL FB210015
ANID FONDECYT 1191816
ANID FONDEF 1910421
Id de Web of Science
WOS:000731366800001
Colecciones
Colección Publicaciones Científicas
Colección ANID
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