Keywords
generalized algebraic difference approach
Chapman-Richards
How to Cite
Abstract
The aim of this study was to determine the site quality of juniper (Juniperus deppeana Steud.) in the San Dimas region of the state of Durango, Mexico, using the site index method. The database comes from stem analysis of 43 trees felled in harvesting activities. The Chapman-Richards and Schumacher models, by means of the algebraic difference and generalized algebraic difference approaches, were tested to determine the site index; in addition, the error structure was modeled with a second-order autoregressive model to remedy the dependency of existing longitudinal errors. The results showed that the Chapman-Richards model in generalized algebraic difference form provided the best fit according to the adjusted coefficient of determination (R2 adj = 0.98) and root mean square error (RMSE = 0.46 m). Plotting of the quality curves generated with this model, superimposed on the observed heights, corroborated the goodness of fit of the model selected. The equation obtained with the generalized algebraic difference approach directly estimates the dominant height and site index at any height and base age.
References
Alder, D. E. (1980). Estimación del volumen forestal y predicción del rendimiento, con referencia especial a los trópicos. Roma, Italia: FAO.
Avery, T. E., & Burkhart, H. E. (2002). Forest measurement (5th ed.). New York, USA: McGraw-Hill.
Bailey, R. L., & Clutter, J. L. (1974). Base-age invariant polymorphic site curves. Forest Science, 20, 155–159. http://www.ingentaconnect.com/content/saf/fs/1974/00000020/00000002/art00013
Carmean, W. H. (1972). Site index curves for upland oaks in the Central States. Forest Science, 18, 109–120. http://www.ingentaconnect.com/content/saf/fs/1972/00000018/00000002/art00004
Castillo, L. A., Vargas-Larreta, E., Corral, R. J. J., Nájera, L. J. A., Cruz, C. F., & Hernández, F. J. (2013). Modelo compatible altura-índice de sitio para cuatro especies de pino en Santiago Papasquiaro, Durango. Revista Mexicana de Ciencias Forestales, 4(18), 86–103. http://revistas.inifap.gob.mx/index.php/Forestales/article/view/3003/2483
Cieszewski, C. J. (2001). Three methods of deriving advanced dynamic site equations demonstrated on inland Douglas-fir site curves. Canadian Journal of Forest Research, 31, 165–173. doi: https://doi.org/10.1139/x00-132
Cieszewski, C. J. (2002). Comparing fixed- and variable-base-age site equations having single versus multiple asymptotes. Forest Science, 48, 7–23. http://www.ingentaconnect.com/content/saf/fs/2002/00000048/00000001/art00002
Cieszewski, C. J. (2003). Developing a well-behaved dynamic site equation using a modified Hossfeld IV function Y3 = (axm)/(c + xm-1), a simplified mixed-model and scant subalpine fir data. Forest Science, 49, 539–554. http://www.ingentaconnect.com/content/saf/fs/2003/00000049/00000004/art00006
Cieszewski, C. J., & Bailey, R. L. (2000). Generalized algebraic difference approach: Theory based derivation of dynamic site equations with polymorphism and variable asymptotes. Forest Science, 46, 116–126. http://www.ingentaconnect.com/content/saf/fs/2000/00000046/00000001/art00015
Diéguez, A. U., Álvarez, G. J., Barrio, A. M., & Rojo, A. A. (2005). Site quality equations for Pinus sylvestris L. plantations in Galicia (north-west Spain). Annals of Forest Science, 62, 143–152. doi: https://doi.org/10.1051/forest:2005006
Diéguez-Aranda, U., Burkhart, H. E., & Amateis, R. L. (2006). Dynamic site model for Loblolly pine (Pinus taeda L.) plantations in the United States. Forest Science, 52(3), 262–272. http://www.ingentaconnect.com/content/saf/fs/2006/00000052/00000003/art00006
Goelz, J. C., & Burk, T. E. (1992). Development of a well-behaved site index equation: Jack pine in north-central Ontario. Canadian Journal of Forestry Research, 22, 776–784. doi: https://doi.org/10.1139/x92-106
Ker, M. F., & Bowling, C. (1991). Polimorphic site index equations for four New Brunswick softwood species. Canadian Journal of Forestry Research, 21, 728–732. doi: https://doi.org/10.1139/x91-103
Newberry, J. D. (1991). A note on Carmean’s estimate of height from stem analysis data. Forest Science, 37(1), 368–369. http://www.ingentaconnect.com/content/saf/fs/1991/00000037/00000001/art00029
Payandeh, B., & Wang, Y. (1994). Relative accuracy of a new base-age invariant site index model. Forest Science, 40(2), 341–348. http://www.ingentaconnect.com/content/saf/fs/1994/00000040/00000002/art00011
Richards, F. J. (1959). A flexible growth function for empirical use. Journal of Experimental Botany, 10, 290–301. doi: https://doi.org/10.1093/jxb/10.2.290
Ryan, T. P. (1997). Modern regression methods. New York, USA: Jonh Wiley and Sons, Inc.
Statistical Analysis System (SAS Institute). (2004). SAS/ETS User ́s Guide, Version 9.1. Cary, NC, USA: Author.
Skovsgaard, J. P., & Vanclay, J. K. (2008). Forest site productivity: A review of the evolution of dendrometric concepts for even-aged stands. Forestry, 81(1), 13–31. doi: https://doi.org/10.1093/forestry/cpm041
Soto, R. J. (2009). Estudio regional forestal UMAFOR, núm. 1006, “San Dimas”. http://www.conafor.gob.mx:8080/documentos/docs/9/1133ERF_UM A FOR1006.pdf
Tait, D. E., Cieszewski, C. J., & Bella, I. E. (1988). The stand dynamics of lodge pole pine. Canadian Journal of Forestry Research, 18, 1255–1260. doi: https://doi.org/10.1139/x88-193
Torres-Rojo J. M. (2001). Curvas de índice de sitio de forma y escala variables en investigación forestal. Agrociencia, 35, 87–98. http://www.redalyc.org/articulo.oa?id=30235108
Vargas-Larreta, B., Álvarez-González, J. G., Corral-Rivas, J. J., & Aguirre-Calderón, O. (2010). Construcción de curvas dinámicas de índice de sitio para Pinus cooperi Blanco. El Salto P. N. Durango. Revista Fitotecnia Mexicana, 33(4), 343–351. http://www.redalyc.org/articulo.oa?id=61015520008
Zimmerman, D. L., & Núñez, A. V. (2001). Parametric modelling of growth curve data: An overview (with discussion). Test, 10, 1–73. doi: https://doi.org/10.1007/BF0259582
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Copyright (c) 2015 Revista Chapingo Serie Ciencias Forestales y del Ambiente