Taper and merchantable volume systems for two Pinus species in Durango, Mexico
DOI:
https://doi.org/10.29298/rmcf.v14i77.1383Keywords:
parsimony, compatible system, total volume, volume-taperAbstract
The objective of the study was to compare and validate two methodologies in order to estimate the merchantable volume of Pinus cooperi (Pc) and Pinus durangensis (Pd) in the forest region of El Salto, Durango, Mexico. The used data were 164 Pc and 182 Pd trees, whose diameters at different heights and the total height were measured. The 70 % of the dataset was used for training, and 30 % was utilized for testing. Four compatible taper and merchantable volume systems were fitted, three of which were based on volume ratio models, and one, on a segmented taper model. The fitting was performed through iterative seemingly unrelated regression. The criteria for evaluating predictive performance were the adjusted coefficient of determination, the root mean square error, the bias, the Akaike’s information criterion, and the coefficient of variation. The training and testing statistics indicated that the segmented system (SS1) was the most accurate for estimating the merchantable volume and taper of both species. The system based on volume ratio models (RVS2) generated similar results, was more parsimonious and explained 98.3 % of the observed variability in Pc and 97.6 % of that observed in Pd; furthermore, it may prove easier to implement than segmented system for predicting the stem height, stem diameter, merchantable volume, and total tree volume for two studied species. The system labeled RVS2 is recommended for its accuracy and simplicity in estimating the merchantable volume of the evaluated species.
Downloads
References
Alder, D. 1980. Estimación del volumen forestal y predicción del rendimiento con referencia especial a los trópicos. Vol. 2 Organización de las Naciones Unidas para la Alimentación y la Agricultura (FAO). Roma, RM, Italia. 100 p.
Avery, T. E. and H. E. Burkhart. 2015. Forest measurements. Waveland Press, Inc. Long Grove, IL, USA. 456 p.
Barrios, A., A. M. López y V. Nieto. 2014. Predicción de volúmenes comerciales de Eucalyptus grandis a través de modelos de volumen total y de razón. Colombia Forestal 17(2):137-149. Doi: 10.14483/udistrital.jour.colomb.for.2014.2.a01. DOI: https://doi.org/10.14483/udistrital.jour.colomb.for.2014.2.a01
Bi, H. and Y. Long. 2001. Flexible taper equation for site-specific management of Pinus radiata in New South Wales, Australia. Forest Ecology and Management 148(1-3):79-91. Doi: 10.1016/s0378-1127(00)00526-0. DOI: https://doi.org/10.1016/S0378-1127(00)00526-0
Burkhart, H. E. 1977. Cubic-foot volume of loblolly pine to any merchantable top limit. Southern Journal of Applied Forestry 1(2):7-9. Doi: 10.1093/sjaf/1.2.7. DOI: https://doi.org/10.1093/sjaf/1.2.7
Burkhart, H. E. and M. Tomé. 2012. Modeling forest trees and stands. Springer. New York, NY, USA. 458 p. DOI: https://doi.org/10.1007/978-90-481-3170-9
Castillo-López, A., G. Quiñonez-Barraza, U. Diéguez-Aranda and J. J. Corral-Rivas. 2021. Compatible taper and volume systems based on volume ratio models for four pine species in Oaxaca Mexico. Forests 12(2):145-159. Doi: 10.3390/f12020145. DOI: https://doi.org/10.3390/f12020145
Chauchard, L. y R. Sbrancia. 2005. Funciones de razón para la estimación de los volúmenes maderables de Pino radiata en el País Vasco. Investigación agraria, Sistemas y Recursos Forestales 14(2):185-194. Doi: 10.5424/srf/2005142-00883. DOI: https://doi.org/10.5424/srf/2005142-00883
Corral-Rivas, J. J., D. J. Vega-Nieva, R. Rodriguez-Soalleiro, C. A. López-Sánchez, … and A. D. Ruiz-González. 2017. Compatible system for predicting total and merchantable stem volume over and under bark, branch volume and whole-tree volume of pine species. Forests 8(11):417-434. Doi: 10.3390/f8110417. DOI: https://doi.org/10.3390/f8110417
Corral-Rivas, J. J., U. Diéguez-Aranda, S. Corral-Rivas and F. Castedo-Dorado. 2007. A merchantable volume system for major pine species in El Salto, Durango (Mexico). Forest Ecology and Management 238(1-3):118-129. Doi: 10.1016/j.foreco.2006.09.074. DOI: https://doi.org/10.1016/j.foreco.2006.09.074
Cruz-Cobos, F., H. M. de los Santos-Posadas y J. R. Valdez-Lazalde. 2008. Sistema compatible de ahusamiento-volumen para Pinus cooperi Blanco en Durango, México. Agrociencia 42(4):473-485. https://agrociencia-colpos.org/index.php/agrociencia/article/view/646. (4 de abril de 2023).
Fang, Z., B. E. Borders and R. L. Bailey. 2000. Compatible volume-taper models for loblolly and slash pine based on system with segmented-stem form factors. Forest Science 46(1):1-12. Doi: 10.1093/forestscience/46.1.1.
Fonweban, J., B. Gardiner and D. Auty. 2012. Variable-top merchantable volume equations for Scots pine (Pinus sylvestris) and Sitka spruce (Picea sitchensis (Bong.) Carr.) in Northern Britain. Forestry An International Journal of Forest Research 85(2):237-253. Doi: 10.1093/forestry/cpr069. DOI: https://doi.org/10.1093/forestry/cpr069
García, M. E. 2004. Modificaciones al sistema de clasificación climática de Köppen. Instituto de Geografía, Universidad Nacional Autónoma de México. Coyoacán, México D. F., México. 91 p.
García-Espinoza, G. G., O. A. Aguirre-Calderón, G. Quiñonez-Barraza, E. Alanís-Rodríguez, H. M. De los Santos-Posadas and J. J. García-Magaña. 2018. Taper and volume systems based on ratio equations for Pinus pseudostrobus Lindl. in Mexico. Forests 9(6):344-357. Doi: 10.3390/f9060344. DOI: https://doi.org/10.3390/f9060344
González-Elizondo, M. S., M. González-Elizondo, J. A. Tena-Flores, L. Ruacho-González e I. L. López-Enríquez. 2012. Vegetación de la Sierra Madre Occidental, México: una síntesis. Acta Botánica Mexicana 100:351-403. Doi: 10.21829/abm100.2012.40. DOI: https://doi.org/10.21829/abm100.2012.40
Hernández-Ramos, J., A. Hernández-Ramos, X. García-Cuevas, J. C. Tamarit-Urias, L. Martínez-Ángel y J. García-Magaña. 2018. Ecuaciones de volumen total y de razón para estimar el volumen comercial de Swietenia macrophylla King. Colombia Forestal 21(1):34-46. Doi: 10.14483/2256201x.11965. DOI: https://doi.org/10.14483/2256201X.11965
Hernández-Ramos, J., H. M. De los Santos-Posadas, J. R. Valdéz-Lazalde, J. C. Tamarit-Urias, ... y A. Peduzzi. 2017. Estimación del volumen comercial en plantaciones de Eucalyptus urophylla con modelos de volumen total y de razón. Agrociencia 51(5):561-580. https://agrociencia-colpos.org/index.php/agrociencia/article/view/1311. (4 de abril de 2023).
Lynch, T. B., D. Zhao, W. Harges and J. P. McTague. 2017. Deriving compatible taper functions from volume ratio equations based on upper-stem height. Canadian Journal of Forest Research 47(10):1424-1431. Doi: 10.1139/cjfr-2017-0108. DOI: https://doi.org/10.1139/cjfr-2017-0108
Niño L., G. S., P. A. Ramos M., A. Barrios y A. M. López A. 2018. Modelos compatibles de ahusamiento-volumen para árboles de Gmelina arborea Roxb. en el Alto Magdalena, Colombia. Colombia Forestal 21(2):174-187. Doi: 10.14483/2256201x.12249. DOI: https://doi.org/10.14483/2256201X.12249
Özçelik, R. and M. F. Göçeri. 2015. Compatible merchantable stem volume and taper equations for Eucalyptus plantations in the Eastern Mediterranean Region of Turkey. Turkish Journal of Agriculture and Forestry 39(6):851-863. Doi: 10.3906/tar-1501-27. DOI: https://doi.org/10.3906/tar-1501-27
Özçelik, R. and Q. V. Cao. 2017. Evaluation of fitting and adjustment methods for taper and volume prediction of black pine in Turkey. Forest Science 63(4):349-355. Doi: 10.5849/fs.2016-067. DOI: https://doi.org/10.5849/FS.2016-067
Prodan, M., R. Peters, F. Cox y P. Real. 1997. Mensura Forestal. Serie Investigación y Educación en Desarrollo Sostenible. Deutsche Gesellschaft für Technische Zusammenarbeit (GTZ) e Instituto Interamericano de Cooperación para la Agricultura (IICA). San José, SJ, Costa Rica. 586 p.
Quiñonez-Barraza, G., D. Zhao and H. M. De los Santos-Posadas. 2019. Compatible taper and stem volume equations for five pine species in mixed-species forests in Mexico. Forest Science 65(5):602-613. Doi: 10.1093/forsci/fxz030. DOI: https://doi.org/10.1093/forsci/fxz030
Quiñonez-Barraza, G., H. M. De los Santos-Posadas, J. G. Álvarez-González y A. Velázquez-Martínez. 2014. Sistema compatible de ahusamiento y volumen comercial para las principales especies de Pinus en Durango, México. Agrociencia 48(5):553-567. https://agrociencia-colpos.org/index.php/agrociencia/article/view/1102. (4 de abril de 2023).
Sakici, O. E., N. Misir, H. Yavuz and M. Misir. 2008. Stem taper functions for Abies nordmanniana subsp. bornmulleriana in Turkey. Scandinavian Journal of Forest Research 23(6):522-533. Doi: 10.1080/02827580802552453. DOI: https://doi.org/10.1080/02827580802552453
Statistical Analysis System. 2021. Programming Documentation for SAS® 9.4 and SAS® Viya 3.4. Cary, NC, USA. SAS Institute Inc. https://documentation.sas.com/doc/en/pgmsascdc/9.4_3.4/pgmsaswlcm/home.htm. (04 de abril de 2023).
Silva-González, E., M. A. Nava-Moreno, F. J. Hernández y J. G. Colín. 2018. Funciones compatibles de ahusamiento-volumen para tres especies de Pinus en la Unidad de Manejo Forestal 0808 del estado de Chihuahua. Investigación y Ciencia de la Universidad Autónoma de Aguascalientes 73:58-67. Doi: 10.33064/iycuaa201873207. DOI: https://doi.org/10.33064/iycuaa201873207
Tamarit U., J. C., H. M. De los Santos P., A. Aldrete, J. R. Valdéz L., H. Ramírez M. y V. Guerra De la C. 2014. Sistema de cubicación para árboles individuales de Tectona grandis L. f. mediante funciones compatibles de ahusamiento-volumen. Revista Mexicana de Ciencias Forestales 5(21):58-74. Doi: 10.29298/rmcf.v5i21.358. DOI: https://doi.org/10.29298/rmcf.v5i21.358
Zhao, D. and M. Kane. 2017. New variable-top merchantable volume and weight equations derived directly from cumulative relative profiles for loblolly pine. Forest Science 63(3):261-269. Doi: 10.5849/FS-2016-076. DOI: https://doi.org/10.5849/FS-2016-076
Zhao, D., T. B. Lynch, J. Westfall, J. Coulston, M. Kane and D. E. Adams. 2019. Compatibility, development, and estimation of taper and volume equation systems. Forest Science 65(1):1-13. Doi: 10.1093/forsci/fxy036. DOI: https://doi.org/10.1093/forsci/fxy036
Zimmerman, D. L. and V. Núñez-Antón. 2001. Parametric modeling of growth curve data: an overview. Test 10(1):1-73. Doi: 10.1007/BF02595823. DOI: https://doi.org/10.1007/BF02595823
Published
How to Cite
Issue
Section
License
Copyright (c) 2023 Revista Mexicana de Ciencias Forestales
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
The authors who publish in Revista Mexicana de Ciencias Forestales accept the following conditions:
In accordance with copyright laws, Revista Mexicana de Ciencias Forestales recognizes and respects the authors’ moral right and ownership of property rights which will be transferred to the journal for dissemination in open access.
All the texts published by Revista Mexicana de Ciencias Forestales –with no exception– are distributed under a Creative Commons License Attribution-NonCommercial 4.0 International (CC BY-NC 4.0), which allows third parties to use the publication as long as the work’s authorship and its first publication in this journal are mentioned
The author(s) can enter into independent and additional contractual agreements for the nonexclusive distribution of the version of the article published in Revista Mexicana de Ciencias Forestales (for example, include it into an institutional repository or publish it in a book) as long as it is clearly and explicitly indicated that the work was published for the first time in Revista Mexicana de Ciencias Forestales.
For all the above, the authors shall send the form of Letter-transfer of Property Rights for the first publication duly filled in and signed by the author(s). This form must be sent as a PDF file to: ciencia.forestal2@inifap.gob.mx
This work is licensed under a Creative Commons Attribution-Noncommercial 4.0 International license.
