Mathematical models for determining the optimal rotation in forest plantations
In this paper, procedures are proposed for determining the technical, economic and technical-economic rotations in forest plantations. The classical criteria of maximum productivity were determined: annual average increase and maximum land expected value. For the determination of the rotations, in a...
| Main Authors: | , , , , |
|---|---|
| Format: | Online |
| Language: | spa |
| Published: |
Instituto de Ecología, A.C.
2019
|
| Online Access: | https://myb.ojs.inecol.mx/index.php/myb/article/view/e2511636 |
| _version_ | 1799769346617114624 |
|---|---|
| author | Guera, Ouorou Ganni Mariel Silva, José Antônio Aleixo da Ferreira, Rinaldo Luiz Caraciolo Álvarez Lazo, Daniel Barrero Medel, Héctor |
| author_facet | Guera, Ouorou Ganni Mariel Silva, José Antônio Aleixo da Ferreira, Rinaldo Luiz Caraciolo Álvarez Lazo, Daniel Barrero Medel, Héctor |
| author_sort | Guera, Ouorou Ganni Mariel |
| collection | MYB |
| description | In this paper, procedures are proposed for determining the technical, economic and technical-economic rotations in forest plantations. The classical criteria of maximum productivity were determined: annual average increase and maximum land expected value. For the determination of the rotations, in addition to using the analytical tools (by adjusting forest growth models) and graphical tools conventionally used, mathematical programming models were proposed: model R-01 based on integer linear programming for the determination of the mono-criteria rotations and the models R-02 and R-03 based on weighted integer goal programming and lexicographic integer goal programming, respectively, for multi-criteria rotation determination. The validity of the proposed models was verified through the consistency of the technical, economic and technical-economic rotation ages determined by diverse site index in Pinus caribaea Morelet var. caribaea Barr. & Golf. plantations. The technically optimal rotations varied between 31 years and 35 years according to the site index and the economically optimal rotations between 18 years and 21 years. It was noticed that the technical-economic rotations are highly influenced by the criterion of greater importance in both approaches. The results found for Pinus caribaea var. caribaea with these approaches indicated intermediate rotations between the technical and the economic ones, these varying between 23 years and 25 years. |
| format | Online |
| id | oai:oai.myb.ojs.inecol.mx:article-1636 |
| institution | Madera y Bosques |
| language | spa |
| publishDate | 2019 |
| publisher | Instituto de Ecología, A.C. |
| record_format | ojs |
| spelling | oai:oai.myb.ojs.inecol.mx:article-16362022-11-29T22:50:55Z Mathematical models for determining the optimal rotation in forest plantations Modelos matemáticos para la determinación del turno óptimo en plantaciones forestales Guera, Ouorou Ganni Mariel Silva, José Antônio Aleixo da Ferreira, Rinaldo Luiz Caraciolo Álvarez Lazo, Daniel Barrero Medel, Héctor forest growth annual average increment integer linear programming integer goal programming economical optimal rotation land expected value crecimiento forestal incremento medio anual programación lineal entera programación por metas entera turno económicamente óptimo valor esperado de la tierra In this paper, procedures are proposed for determining the technical, economic and technical-economic rotations in forest plantations. The classical criteria of maximum productivity were determined: annual average increase and maximum land expected value. For the determination of the rotations, in addition to using the analytical tools (by adjusting forest growth models) and graphical tools conventionally used, mathematical programming models were proposed: model R-01 based on integer linear programming for the determination of the mono-criteria rotations and the models R-02 and R-03 based on weighted integer goal programming and lexicographic integer goal programming, respectively, for multi-criteria rotation determination. The validity of the proposed models was verified through the consistency of the technical, economic and technical-economic rotation ages determined by diverse site index in Pinus caribaea Morelet var. caribaea Barr. & Golf. plantations. The technically optimal rotations varied between 31 years and 35 years according to the site index and the economically optimal rotations between 18 years and 21 years. It was noticed that the technical-economic rotations are highly influenced by the criterion of greater importance in both approaches. The results found for Pinus caribaea var. caribaea with these approaches indicated intermediate rotations between the technical and the economic ones, these varying between 23 years and 25 years. En el presente trabajo se proponen procedimientos de determinación de los turnos técnicos, económicos y técnico-económicos en plantaciones forestales. Se procedió a la determinación de los criterios clásicos de máxima productividad: incremento medio anual y máximo valor esperado de la tierra. Para la determinación de los turnos, además de utilizar las herramientas analíticas (por ajuste de modelos de crecimiento forestal) y gráficas convencionalmente utilizadas, se propusieron modelos de programación matemática: el modelo R-01 basado en la programación lineal entera, para la determinación de los turnos monocriterios, y los modelos R-02 y R-03 basados en la programación por metas ponderada entera y en la programación por metas lexicográficas entera, respectivamente, para la determinación del turno con múltiples objetivos. La validez de los modelos propuestos fue verificada a través de la consistencia y realismo biológico de las edades de rotación técnicas, económicas y técnico-económicas determinadas por índice de sitio en plantaciones de Pinus caribaea Morelet var. caribaea Barr. & Golf. de la empresa Macurije. Los turnos técnicamente óptimos variaron entre 31 años y 35 años según la calidad del sitio y los turnos económicamente óptimos entre 18 años y 21 años. Se percibió que los turnos técnico-económicos son altamente influenciados por el criterio de mayor importancia, tanto en el enfoque de metas ponderadas como en el de metas lexicográficas. Los resultados encontrados para el Pinus caribaea var. caribaea con esos enfoques indicaron turnos intermedios entre los técnicos y los económicos, variando estos entre 23 años y 25 años. Instituto de Ecología, A.C. 2019-05-03 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/e2511636 10.21829/myb.2019.2511636 Madera y Bosques; Vol. 25 No. 1 (2019): Spring 2019 Madera y Bosques; Vol. 25 Núm. 1 (2019): Primavera 2019 2448-7597 1405-0471 spa https://myb.ojs.inecol.mx/index.php/myb/article/view/e2511636/1864 https://myb.ojs.inecol.mx/index.php/myb/article/view/e2511636/1920 Derechos de autor 2019 Madera y Bosques |
| spellingShingle | Guera, Ouorou Ganni Mariel Silva, José Antônio Aleixo da Ferreira, Rinaldo Luiz Caraciolo Álvarez Lazo, Daniel Barrero Medel, Héctor Mathematical models for determining the optimal rotation in forest plantations |
| title | Mathematical models for determining the optimal rotation in forest plantations |
| title_full | Mathematical models for determining the optimal rotation in forest plantations |
| title_fullStr | Mathematical models for determining the optimal rotation in forest plantations |
| title_full_unstemmed | Mathematical models for determining the optimal rotation in forest plantations |
| title_short | Mathematical models for determining the optimal rotation in forest plantations |
| title_sort | mathematical models for determining the optimal rotation in forest plantations |
| url | https://myb.ojs.inecol.mx/index.php/myb/article/view/e2511636 |
| work_keys_str_mv | AT gueraouorougannimariel mathematicalmodelsfordeterminingtheoptimalrotationinforestplantations AT silvajoseantonioaleixoda mathematicalmodelsfordeterminingtheoptimalrotationinforestplantations AT ferreirarinaldoluizcaraciolo mathematicalmodelsfordeterminingtheoptimalrotationinforestplantations AT alvarezlazodaniel mathematicalmodelsfordeterminingtheoptimalrotationinforestplantations AT barreromedelhector mathematicalmodelsfordeterminingtheoptimalrotationinforestplantations AT gueraouorougannimariel modelosmatematicosparaladeterminaciondelturnooptimoenplantacionesforestales AT silvajoseantonioaleixoda modelosmatematicosparaladeterminaciondelturnooptimoenplantacionesforestales AT ferreirarinaldoluizcaraciolo modelosmatematicosparaladeterminaciondelturnooptimoenplantacionesforestales AT alvarezlazodaniel modelosmatematicosparaladeterminaciondelturnooptimoenplantacionesforestales AT barreromedelhector modelosmatematicosparaladeterminaciondelturnooptimoenplantacionesforestales |
