Selection and adjustment of mathematical models to predict the stem volume of Tectona grandis L. f. in Nuevo Urecho, Michoacan, Mexico
The objective was to adjust and select a mathematical model to predict the stem volume of Tectona grandis L. f. in an 11-year-old plantation in Nuevo Urecho, Michoacan. The sample analyzed was 128 trees, in which it was measured the stump diameter, normal diameter and diameters to different sections...
| Main Authors: | , , , , |
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| Format: | Online |
| Language: | spa |
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Instituto de Ecología, A.C.
2018
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| Online Access: | https://myb.ojs.inecol.mx/index.php/myb/article/view/e2431544 |
| _version_ | 1799769335674175488 |
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| author | Telles Antonio, Ricardo Gómez Cárdenas, Martín Alanís Rodríguez, Eduardo Aguirre Calderón, Oscar Alberto Jiménez Pérez, Javier |
| author_facet | Telles Antonio, Ricardo Gómez Cárdenas, Martín Alanís Rodríguez, Eduardo Aguirre Calderón, Oscar Alberto Jiménez Pérez, Javier |
| author_sort | Telles Antonio, Ricardo |
| collection | MYB |
| description | The objective was to adjust and select a mathematical model to predict the stem volume of Tectona grandis L. f. in an 11-year-old plantation in Nuevo Urecho, Michoacan. The sample analyzed was 128 trees, in which it was measured the stump diameter, normal diameter and diameters to different sections, from stump height to total height. Six stem volume models were adjusted using the SAS 9.2® statistical package Model procedure. The selection of the model was made from the total square error (SCE), the root mean square error (REMC) and R2adj as well as the significance of their parameters. Compliance with the assumptions of normality, homogeneity of variances and independence of waste frequency was verified. A rating criterion was generated that ranked each statistics according to the order of importance, with the best being those with the lowest value in the overall rating. Meyer's model was the best fit with SCE= 0.0399, REMC= 0.0179 and R2adj= 0.8246. The Shapiro-Wilk test (0.97), White´s Test (13.00), Durbin-Watson (2.0112) do not violate the regression assumptions and guarantee the effectiveness of the model for the estimation of the dependent variable. This model is considered appropriate to predict more accurately the stem volume as a function of the normal diameter (d) and total height (AT) of T. grandis in plantations with physical and biological conditions similar to those of the site of this study. |
| format | Online |
| id | oai:oai.myb.ojs.inecol.mx:article-1544 |
| institution | Madera y Bosques |
| language | spa |
| publishDate | 2018 |
| publisher | Instituto de Ecología, A.C. |
| record_format | ojs |
| spelling | oai:oai.myb.ojs.inecol.mx:article-15442022-11-29T22:53:43Z Selection and adjustment of mathematical models to predict the stem volume of Tectona grandis L. f. in Nuevo Urecho, Michoacan, Mexico Ajuste y selección de modelos matemáticos para predecir el volumen total fustal de Tectona grandis en Nuevo Urecho, Michoacán, México Telles Antonio, Ricardo Gómez Cárdenas, Martín Alanís Rodríguez, Eduardo Aguirre Calderón, Oscar Alberto Jiménez Pérez, Javier biometrics equations wood commercial plantations forestry biometría ecuaciones madera plantaciones comerciales silvicultura The objective was to adjust and select a mathematical model to predict the stem volume of Tectona grandis L. f. in an 11-year-old plantation in Nuevo Urecho, Michoacan. The sample analyzed was 128 trees, in which it was measured the stump diameter, normal diameter and diameters to different sections, from stump height to total height. Six stem volume models were adjusted using the SAS 9.2® statistical package Model procedure. The selection of the model was made from the total square error (SCE), the root mean square error (REMC) and R2adj as well as the significance of their parameters. Compliance with the assumptions of normality, homogeneity of variances and independence of waste frequency was verified. A rating criterion was generated that ranked each statistics according to the order of importance, with the best being those with the lowest value in the overall rating. Meyer's model was the best fit with SCE= 0.0399, REMC= 0.0179 and R2adj= 0.8246. The Shapiro-Wilk test (0.97), White´s Test (13.00), Durbin-Watson (2.0112) do not violate the regression assumptions and guarantee the effectiveness of the model for the estimation of the dependent variable. This model is considered appropriate to predict more accurately the stem volume as a function of the normal diameter (d) and total height (AT) of T. grandis in plantations with physical and biological conditions similar to those of the site of this study. El objetivo fue ajustar y seleccionar un modelo matemático para predecir volumen total del fuste para una El objetivo fue ajustar y seleccionar un modelo matemático para predecir el volumen fustal de Tectona grandis L. f. en una plantación de 11 años de edad en Nuevo Urecho, Michoacán. La muestra analizada fue de 128 árboles, a los que se les midió el diámetro de tocón, diámetro normal y el diámetro a distintas secciones, desde la altura de tocón hasta altura total. Se ajustaron seis modelos de volumen fustal mediante el procedimiento Model del paquete estadístico SAS 9.2®. La selección del modelo se hizo a partir de la suma de cuadrados del error (SCE), la raíz del error medio cuadrático (REMC) y R2adj además de la significancia de sus parámetros. Se verificó el cumplimiento de los supuestos de normalidad, homogeneidad de varianzas e independencia de la frecuencia de residuos. Se generó un criterio de calificación que jerarquizó cada estadístico en función al orden de importancia, siendo mejores aquellos con el valor más bajo en la calificación total. El modelo de Meyer fue el de mejor ajuste con SCE= 0.0399, REMC= 0.0179 y R2adj= 0.8246. La prueba de Shapiro-Wilk (0.97), White´s Test (13.00) y la de Durbin-Watson (2.0112) no violan los supuestos de la regresión y garantizan la eficacia del modelo para la estimación de la variable dependiente. Este modelo se considera apropiado para predecir con mayor precisión el volumen fustal en función del diámetro normal (d) y la altura total (AT) de T. grandis en plantaciones con condiciones físicas y biológicas similares a las del sitio de este estudio. Instituto de Ecología, A.C. 2018-12-04 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/e2431544 10.21829/myb.2018.2431544 Madera y Bosques; Vol. 24 No. 3 (2018): Otoño 2018 Madera y Bosques; Vol. 24 Núm. 3 (2018): Otoño 2018 2448-7597 1405-0471 spa https://myb.ojs.inecol.mx/index.php/myb/article/view/e2431544/1835 https://myb.ojs.inecol.mx/index.php/myb/article/view/e2431544/1886 Derechos de autor 2018 Madera y Bosques |
| spellingShingle | Telles Antonio, Ricardo Gómez Cárdenas, Martín Alanís Rodríguez, Eduardo Aguirre Calderón, Oscar Alberto Jiménez Pérez, Javier Selection and adjustment of mathematical models to predict the stem volume of Tectona grandis L. f. in Nuevo Urecho, Michoacan, Mexico |
| title | Selection and adjustment of mathematical models to predict the stem volume of Tectona grandis L. f. in Nuevo Urecho, Michoacan, Mexico |
| title_full | Selection and adjustment of mathematical models to predict the stem volume of Tectona grandis L. f. in Nuevo Urecho, Michoacan, Mexico |
| title_fullStr | Selection and adjustment of mathematical models to predict the stem volume of Tectona grandis L. f. in Nuevo Urecho, Michoacan, Mexico |
| title_full_unstemmed | Selection and adjustment of mathematical models to predict the stem volume of Tectona grandis L. f. in Nuevo Urecho, Michoacan, Mexico |
| title_short | Selection and adjustment of mathematical models to predict the stem volume of Tectona grandis L. f. in Nuevo Urecho, Michoacan, Mexico |
| title_sort | selection and adjustment of mathematical models to predict the stem volume of tectona grandis l. f. in nuevo urecho, michoacan, mexico |
| url | https://myb.ojs.inecol.mx/index.php/myb/article/view/e2431544 |
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