A Segmented Distribution Approach for Modeling Diameter Frequency Data

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Abstract:

Different functions, each in the form of a modified Weibull cumulative distribution function (cdf), were joined together to form a segmented cdf to approximate diameter distributions in forest stands. Estimates of five percentile points (the 0th, 25th, 50th, 75th, and 100th percentiles) were used to determine a segmented cdf. The segmented cdf and the Weibull distribution were fit to diameter data from 252 plot measurements from both thinned and unthinned loblolly pine plantations. Based on the one-sample Kolmogorov-Smirnov goodness-of-fit statistic, the segmented cdf was found to perform no better than the three-parameter Weibull distribution for data from unthinned stands, but was superior in case of thinned stands. The segmented cdf is very flexible; it should be useful for modeling irregular data such as diameter distributions of thinned stands or mixed stands. Forest Sci 30:129-137.

Keywords: Pinus taeda; Weibull distribution; cumulative distribution function; loblolly pine; stand-level model; thinning; yield prediction

Document Type: Journal Article

Affiliations: Thomas M. Brooks Professor of Forestry in the Department of Forestry, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061

Publication date: March 1, 1984

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