New models to predict of the increment in volume for mixed forests in the State of Durango, Mexico

J.L Reyes-Muñoz, O.A. Aguirre-Calderón, J. Jímenez-Pérez, E.J. Treviño-Garza, E. Jurado, R.F. González-Laredo


Thirty models were evaluated to predict the timber yield in 28 Permanent Silvicultural Research Plots (SPIS), in the Ejido Pueblo, Durango, Mexico. The most predominant plant association is the corresponding to mixed stands of Pinus and Pinus-Quercus, besides the vegetation associated to these forests. The models in their logarithmic form incorporate 10 competition indexes (IC) independent of the distance, 3 indexes of density (ID), besides the variable age and height at the average level of the stand. The new mathematical models relate in an indirect way the effect of the competition and the density in the growth of trees present in the stand. According to the variance analyses and the hypothesis tests, it was found that the best IC incorporated in a mathematical model for the prediction of the increment in volume was the competition index of area basal density (IABN), the competition index of diameter quadratic density (IDCN), the competition index of area basal total density (IABTN) and the competition index of maximum total height (IHMAX). The best models present a high level of accuracy with Prob > |t| = 0.0001 and values average of 0.99 in R2. The best models presented average values of R2 = 0.99 and a highly significant level of accuracy (Pr > |t| = 0.0001).


Crecimiento, índice de competencia, índice de densidad, índice independiente de la distancia, rodal.

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Álvarez Taboada M.F., 1998 Influencia de la competencia en el crecimiento en sección en Pinus radiata D. Don. Proyecto fin de carrera. EPS, Lugo, Universidad de Santiago de Compostela.

Arney J.D., 1973. Tables to quantifying competitive stress individual trees. Can For Serv Pac For Res Cent Inf Rep BC-X-78.

Bella L.E., 1971. A new competition model for individual trees. For Sci 17, 364-372.

Biging G.S., Dobbertin M., 1992. A comparison of distance-dependent competition measures for height and basal area growth of individual conifer trees. For Sci 38(3), 695-720.

Cano C.J., 1998. El sistema de manejo regular en los bosques de México. División de Ciencias Forestales, Universidad Autónoma Chapingo, Méx. 224 pp.

Curtis R.O., 1970. Stand density measures: an interpretation. Forest Sci 16(4), 403-414.

Daniels, R.F., 1976. Simple competition indices and their correlation with annual loblolly pine tree growth. For Sci 22, 454-456.

Davis L.S., Johnson K.N., 1987. Forest management, 3rd ed. McGraw-Hill Book Company. pp. 1-166. PMCid:227596

Ek A.R., Monserud R.A., 1974. FOREST: a computer model for simulating the growth and reproduction of mixed species forest stands. Res Rep R2635, University of Wisconsin, College of Agriculture and Life Science. 90 pp.

García A.E., 1973. Modificaciones al sistema de clasificación climática de Köppen (adaptada para la República Mexicana). Instituto de Geografía, México DF. 246 pp.

Gerrard D.I., 1969. Competition quotient: a new measure for the competition affecting individual forest trees. En: Michigan State University Agricultural Research Station. Research Bulletin 20, 1 -32.

Glover G.R., Hool J.N., 1979. A basal area ratio predictor of loblolly pine plantation mortality. For Sci 25, 275-282.

Hegyi F., 1974. A simulation model for managing jack-pine stands. In: Growth models for tree and stand simulation (Fries J., ed). Royal College of Forest, Stockholm. pp. 74-90.

Hokka H., Alenius V., Penttila T., 1997. Individualtrees basal area growth models for Scots Pine, Pubescent Birch and Norway Spruce on Drained Peatlands in Finland. Silva Fennica. 31(2), 161-178.

Martin G.L., Ek A.R., 1984. A comparison of competition measures and growth models for predicting plantation red pine diameter and height growth. For Sci 30, 731-743.

Meraz A.R., 2008. Modificación al programa de manejo forestal para el Ejido Pueblo Nuevo, Dgo. SEMARNAT Durango. 6-32.

Munro D.D., 1974. Forest growth models: a prognosis, in growth models for tree and stand simulation. Stockholm, Royal College of Forestry (Fries J., ed). Res Note 30, Dept Forest Yield. 7-21.

SAS INSTITUTE INC. SAS® 9.1., 2009. User's guide. Cary, NC, USA.

Spurr S.H., 1962. A measure of point density. Forest Sci 8(1), 85-96.

Staebler G.R., 1951. Growth and spacing in an unevenaged stand of Douglas Fir. University Mich. MF thesis. 100 pp.

Tomé M., Burkhart H.E., 1989. Distance-dependent competition measures for predicting growth of individual trees. Forest Sci 35(3), 816-831.

Torres-Rojo J.M., 2000. El área de ocupación promedio: una medida de competencia independiente de la distancia. Agrociencia 34, 485-495.

Valadez C.R.C., 2003. Evaluación de índices de competencia independientes de la distancia para predecir el crecimiento de especies mezcladas en San Dimas, Dgo. Tesis de Licenciatura. UJED. 120 pp.

Valles G. A.G., González R.F., Gallegos I.A., Torres-Rojo J.M., Návar Ch.J.J., Rocha F.M., 2003. Evaluación de índices de competencia independientes de la distancia con modelos de crecimiento en diámetro en Pinus cooperi Blanco. Resumen VI Congreso Mexicano de Recursos Forestales. SOMEREFO. UASLP. 53-55.

Valles G.A.G., Torres-Rojo J.M., Velázquez M.A., Rodríguez F.C., 1998. Relación de nueve índices de competencia con el crecimiento en diámetro de Pinus cooperi Blanco. Agrociencia 32(3), 255-260.

Vanklay J.K., 1991. Review of competition indices: what have we learned, where should we use then and what additional research is required? Royal Veterinary and Agricultural University Thorvaldsensvej 57, DK-1871 Frederiksberg, Denmark. 19 pp.

Zeide B., 2005. How to measure stand density. Trees 19, 1-14.

Zepeda B.E.M., Villarreal D.M.E., 1987. Guía de densidad para Pinus hartwegii Lindl. de Zoquiapan, Méx. División de Ciencias Forestales. Universidad Autónoma Chapingo, Méx. 52 pp. PMCid:260288

DOI: 10.5424/fs/2011201-9084