Generalized equations of height-diameter for Pinus pseudostrobus Lindl. forests in Nuevo San Juan Parangaricutiro, Michoacán, Mexico

Precise estimation of total tree height is critical for proper forest management, however, measurement of all trees on an inventory site is virtually impossible for the time and costs it generates. Therefore, a study was carried out in order to adjust an equation representing the ratio of the total...

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Hoofdauteurs: Hernández-Ramos, Jonathan, García-Magaña, J. Jesús, García-Cuevas, Xavier, García-Espinoza, Guadalupe Geraldine, Hernández-Ramos, Adrián, Muñoz-Flores, Hipólito Jesús, Martínez-Salvador, Martín
Formaat: Online
Taal:spa
Gepubliceerd in: Instituto de Ecología, A.C. 2018
Online toegang:https://myb.ojs.inecol.mx/index.php/myb/article/view/e242494
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author Hernández-Ramos, Jonathan
García-Magaña, J. Jesús
García-Cuevas, Xavier
García-Espinoza, Guadalupe Geraldine
Hernández-Ramos, Adrián
Muñoz-Flores, Hipólito Jesús
Martínez-Salvador, Martín
author_facet Hernández-Ramos, Jonathan
García-Magaña, J. Jesús
García-Cuevas, Xavier
García-Espinoza, Guadalupe Geraldine
Hernández-Ramos, Adrián
Muñoz-Flores, Hipólito Jesús
Martínez-Salvador, Martín
author_sort Hernández-Ramos, Jonathan
collection MYB
description Precise estimation of total tree height is critical for proper forest management, however, measurement of all trees on an inventory site is virtually impossible for the time and costs it generates. Therefore, a study was carried out in order to adjust an equation representing the ratio of the total height with normal generalized diameter (h-d) for forests of Pinus pseudostrobus Lindl. in Nuevo San Juan Parangaricutiro, Michoacán, Mexico. With data from 158 inventory sites, 12 generalized h-d models were adjusted. Wang and Tang model which includes normal diameter and dominant height, shows the better fit as indicated by significant parameters, the best values  of mean square error sum, mean square error root and adjusted determination coefficient. Influence points analysis of studentized residuals was between 2.5 and -2.5, while Cook's distance does not show problems. The distribution of residuals was homocedastic, the value in the Durbin-Watson test was 1.7 and the Shapiro-Wilk test was 0.97. The kurtosis index was -2.35 and the trend in the Gaussian bell was Leptokurtic. The bias was 0.004 m and the aggregate difference was -0.017%. The selected model proved reliable when estimating the total height up to 60 cm in diameter and can be used in forest inventories for the species.
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spelling oai:oai.myb.ojs.inecol.mx:article-4942022-11-29T22:59:36Z Generalized equations of height-diameter for Pinus pseudostrobus Lindl. forests in Nuevo San Juan Parangaricutiro, Michoacán, Mexico Ecuaciones generalizadas altura-diámetro para bosques de Pinus pseudostrobus Lindl. en Nuevo San Juan Parangaricutiro, Michoacán, México Hernández-Ramos, Jonathan García-Magaña, J. Jesús García-Cuevas, Xavier García-Espinoza, Guadalupe Geraldine Hernández-Ramos, Adrián Muñoz-Flores, Hipólito Jesús Martínez-Salvador, Martín allometry forest inventory non-linear regression Wang and Tang alometría inventario forestal regresión no lineal Wang y Tang Precise estimation of total tree height is critical for proper forest management, however, measurement of all trees on an inventory site is virtually impossible for the time and costs it generates. Therefore, a study was carried out in order to adjust an equation representing the ratio of the total height with normal generalized diameter (h-d) for forests of Pinus pseudostrobus Lindl. in Nuevo San Juan Parangaricutiro, Michoacán, Mexico. With data from 158 inventory sites, 12 generalized h-d models were adjusted. Wang and Tang model which includes normal diameter and dominant height, shows the better fit as indicated by significant parameters, the best values  of mean square error sum, mean square error root and adjusted determination coefficient. Influence points analysis of studentized residuals was between 2.5 and -2.5, while Cook's distance does not show problems. The distribution of residuals was homocedastic, the value in the Durbin-Watson test was 1.7 and the Shapiro-Wilk test was 0.97. The kurtosis index was -2.35 and the trend in the Gaussian bell was Leptokurtic. The bias was 0.004 m and the aggregate difference was -0.017%. The selected model proved reliable when estimating the total height up to 60 cm in diameter and can be used in forest inventories for the species. La estimación precisa de la altura total de los árboles es fundamental para el manejo forestal, pero la medición de todos los individuos en un inventario es prácticamente imposible por los tiempos y costos que genera. El objetivo de este trabajo fue ajustar una ecuación generalizada que estime la altura total como una función del diámetro normal (h-d) para bosques de Pinus pseudostrobus Lindl., en la comunidad indígena de Nuevo San Juan Parangaricutiro, Michoacán. Con datos de 158 sitios de inventario forestal, se ajustaron 12 modelos generalizados de h-d. El modelo de Wang y Tang, que incluye el diámetro normal y la altura media dominante, fue el mejor por presentar parámetros significativos, los mínimos valores del cuadrado medio del error, la raíz del cuadrado medio del error y el coeficiente de determinación ajustado. El análisis de puntos de influencia de los residuales estudentizados varió entre 2.5 y -2.5, mientras que la distancia de Cook no mostró problemas. La distribución de residuales fue homocedástica, el valor en la prueba de Durbin-Watson fue de 1.7 y la prueba de Shapiro-Wilk de 0.97. El índice de curtosis fue de -2.35 y la tendencia en la campana de Gauss fue leptocúrtica. El sesgo fue de 0.004 m y la diferencia agregada fue de -0.017%. El modelo seleccionado resultó confiable al estimar la altura total hasta los 60 cm de diámetro y se puede ser empleado en los inventarios forestales para la especie.  Instituto de Ecología, A.C. 2018-09-25 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Artículo evaluado por pares application/pdf application/xml https://myb.ojs.inecol.mx/index.php/myb/article/view/e242494 10.21829/myb.2018.242494 Madera y Bosques; Vol. 24 No. 2 (2018): Summer 2018 On line first Madera y Bosques; Vol. 24 Núm. 2 (2018): Verano 2018 2448-7597 1405-0471 spa https://myb.ojs.inecol.mx/index.php/myb/article/view/e242494/1797 https://myb.ojs.inecol.mx/index.php/myb/article/view/e242494/1904 Derechos de autor 2018 Madera y Bosques
spellingShingle Hernández-Ramos, Jonathan
García-Magaña, J. Jesús
García-Cuevas, Xavier
García-Espinoza, Guadalupe Geraldine
Hernández-Ramos, Adrián
Muñoz-Flores, Hipólito Jesús
Martínez-Salvador, Martín
Generalized equations of height-diameter for Pinus pseudostrobus Lindl. forests in Nuevo San Juan Parangaricutiro, Michoacán, Mexico
title Generalized equations of height-diameter for Pinus pseudostrobus Lindl. forests in Nuevo San Juan Parangaricutiro, Michoacán, Mexico
title_full Generalized equations of height-diameter for Pinus pseudostrobus Lindl. forests in Nuevo San Juan Parangaricutiro, Michoacán, Mexico
title_fullStr Generalized equations of height-diameter for Pinus pseudostrobus Lindl. forests in Nuevo San Juan Parangaricutiro, Michoacán, Mexico
title_full_unstemmed Generalized equations of height-diameter for Pinus pseudostrobus Lindl. forests in Nuevo San Juan Parangaricutiro, Michoacán, Mexico
title_short Generalized equations of height-diameter for Pinus pseudostrobus Lindl. forests in Nuevo San Juan Parangaricutiro, Michoacán, Mexico
title_sort generalized equations of height-diameter for pinus pseudostrobus lindl. forests in nuevo san juan parangaricutiro, michoacán, mexico
url https://myb.ojs.inecol.mx/index.php/myb/article/view/e242494
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