Dynamic equation to estimate the growth in diameter of Pinus montezumae Lamb. in Puebla, Mexico
The diameter at breast height (DBH) has a high correlation with other attributes of the tree and the stand, therefore its modeling is relevant. The objective was to develop a dynamic equation to estimate the growth and increment in DBH of Pinus montezumae trees as a function of age. A sample of 81 t...
| Main Authors: | , , , , |
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| Format: | Online |
| Language: | spa |
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Instituto de Ecología, A.C.
2021
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| Online Access: | https://myb.ojs.inecol.mx/index.php/myb/article/view/2180 |
| _version_ | 1799769416936718336 |
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| author | Tamarit-Urias, Juan Carlos Quiñonez-Barraza, Gerónimo García-Cuevas, Xavier Hernández-Ramos, Jonathan Monárrez-González, José Carlos |
| author_facet | Tamarit-Urias, Juan Carlos Quiñonez-Barraza, Gerónimo García-Cuevas, Xavier Hernández-Ramos, Jonathan Monárrez-González, José Carlos |
| author_sort | Tamarit-Urias, Juan Carlos |
| collection | MYB |
| description | The diameter at breast height (DBH) has a high correlation with other attributes of the tree and the stand, therefore its modeling is relevant. The objective was to develop a dynamic equation to estimate the growth and increment in DBH of Pinus montezumae trees as a function of age. A sample of 81 trees collected in the "Ixta-Popo" region of Puebla, Mexico was used, and the stem analysis technique was applied. The fit quality of six dynamic equations expressed in algebraic difference (DA) and generalized algebraic difference approach (GADA) was evaluated. The best dynamic equation was selected using statistical criteria and graphic analysis, this is based on the Korf growth model expressed in GADA, which was later adjusted using the artificial variables method, autocorrelation and heteroscedasticity were corrected. This equation presented high precision and accuracy (RMSE = 2.393 cm, Bias = 0.055 cm), it was used to construct a family of growth curves based on the DBH index (IDBH), to determine the current and average annual growth (ICA and IMA), as well as the passage times (PT) by diametric category (DC). For the average condition (IDBH = 37 cm), the CAImax was 1 cm year-1 which corresponds to 9.33 cm of DBH and is reached at 14.8 years. The MAImax was 0.79 cm year-1, which corresponds to 25 cm and occurs at the age of 31.6 years; the average PT was 8.09 years for an interval from 5 cm to 55 cm with DC classes of 5 cm. The equation developed can be part of growth systems and timber yield for the sustainable management of this species in the study area. |
| format | Online |
| id | oai:oai.myb.ojs.inecol.mx:article-2180 |
| 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-21802022-11-29T22:18:49Z Dynamic equation to estimate the growth in diameter of Pinus montezumae Lamb. in Puebla, Mexico Ecuación dinámica para estimar el crecimiento en diámetro de Pinus montezumae Lamb. en Puebla, México Tamarit-Urias, Juan Carlos Quiñonez-Barraza, Gerónimo García-Cuevas, Xavier Hernández-Ramos, Jonathan Monárrez-González, José Carlos análisis troncal diámetro normal enfoque DAG ICA-IMA modelo de Korf tiempo de paso stem analysis diameter at breast height GADA equations CAI-MAI Korf model time of passage The diameter at breast height (DBH) has a high correlation with other attributes of the tree and the stand, therefore its modeling is relevant. The objective was to develop a dynamic equation to estimate the growth and increment in DBH of Pinus montezumae trees as a function of age. A sample of 81 trees collected in the "Ixta-Popo" region of Puebla, Mexico was used, and the stem analysis technique was applied. The fit quality of six dynamic equations expressed in algebraic difference (DA) and generalized algebraic difference approach (GADA) was evaluated. The best dynamic equation was selected using statistical criteria and graphic analysis, this is based on the Korf growth model expressed in GADA, which was later adjusted using the artificial variables method, autocorrelation and heteroscedasticity were corrected. This equation presented high precision and accuracy (RMSE = 2.393 cm, Bias = 0.055 cm), it was used to construct a family of growth curves based on the DBH index (IDBH), to determine the current and average annual growth (ICA and IMA), as well as the passage times (PT) by diametric category (DC). For the average condition (IDBH = 37 cm), the CAImax was 1 cm year-1 which corresponds to 9.33 cm of DBH and is reached at 14.8 years. The MAImax was 0.79 cm year-1, which corresponds to 25 cm and occurs at the age of 31.6 years; the average PT was 8.09 years for an interval from 5 cm to 55 cm with DC classes of 5 cm. The equation developed can be part of growth systems and timber yield for the sustainable management of this species in the study area. El diámetro normal tiene correlación alta con otros atributos del árbol y del rodal, por tanto, su modelación es relevante. El objetivo de este trabajo fue desarrollar una ecuación dinámica para estimar, en función de la edad, el crecimiento e incremento en diámetro normal de árboles de Pinus montezumae. Se utilizó una muestra de 81 árboles colectados en la región “Ixta-Popo” de Puebla, México y se aplicó la técnica de análisis trocal. Se evaluó la calidad de ajuste de seis ecuaciones dinámicas expresadas en diferencia algebraica (DA) y en su generalización (DAG). La mejor ecuación fue seleccionada usando criterios estadísticos y análisis gráficos, esta se basó en un modelo de crecimiento de Korf expresado en DAG, que posteriormente se ajustó con el método de variables artificiales y se corrigió la autocorrelación y la heterocedasticidad. Esta ecuación presentó alta precisión y exactitud (RCME = 2.393 cm, sesgo = 0.055 cm); se usó para construir una familia de curvas de crecimiento con base en el índice de diámetro normal (IDn) para determinar el crecimiento corriente y medio anual (ICA e IMA), así como el tiempo de paso (TP) por categoría diamétrica (CD). Para una condición promedio (IDn = 37 cm), el ICAmáx fue de 1 cm año-1 que corresponde a 9.33 cm de Dn y se alcanza a los 14.8 años; el IMAmáx fue de 0.79 cm año-1 que corresponde a 25 cm y sucede a la edad de 31.6 años; el TP promedio fue de 8.09 años para un intervalo de 5 cm a 55 cm con CD de 5 cm. La ecuación desarrollada puede formar parte de sistemas de crecimiento y rendimiento maderable para el manejo sustentable de esta especie en la zona de estudio. Instituto de Ecología, A.C. 2021-12-23 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/2180 10.21829/myb.2021.2732180 Madera y Bosques; Vol. 27 No. 3 (2021): Autumn 2021; e2732180 Madera y Bosques; Vol. 27 Núm. 3 (2021): Otoño 2021; e2732180 2448-7597 1405-0471 spa https://myb.ojs.inecol.mx/index.php/myb/article/view/2180/2307 https://myb.ojs.inecol.mx/index.php/myb/article/view/2180/2355 10.21829/myb.2019.253516 10.21829/myb.2018.243650 Derechos de autor 2021 Madera y Bosques http://creativecommons.org/licenses/by-nc-sa/4.0 |
| spellingShingle | Tamarit-Urias, Juan Carlos Quiñonez-Barraza, Gerónimo García-Cuevas, Xavier Hernández-Ramos, Jonathan Monárrez-González, José Carlos Dynamic equation to estimate the growth in diameter of Pinus montezumae Lamb. in Puebla, Mexico |
| title | Dynamic equation to estimate the growth in diameter of Pinus montezumae Lamb. in Puebla, Mexico |
| title_full | Dynamic equation to estimate the growth in diameter of Pinus montezumae Lamb. in Puebla, Mexico |
| title_fullStr | Dynamic equation to estimate the growth in diameter of Pinus montezumae Lamb. in Puebla, Mexico |
| title_full_unstemmed | Dynamic equation to estimate the growth in diameter of Pinus montezumae Lamb. in Puebla, Mexico |
| title_short | Dynamic equation to estimate the growth in diameter of Pinus montezumae Lamb. in Puebla, Mexico |
| title_sort | dynamic equation to estimate the growth in diameter of pinus montezumae lamb. in puebla, mexico |
| url | https://myb.ojs.inecol.mx/index.php/myb/article/view/2180 |
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