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Notes: Projections with Ingrowth by Markov Chains

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Abstract:

A Markov chain that accounts for ingrowth as well as growth, death, and harvest of trees is formulated for projecting a size-class distribution. Live trees of minimal or greater size reside in size classes 1 through n. A special size class 0 serves as a reservoir of potential ingrowth trees and as a repository for dead or harvested trees. Ingrowth is the movement of a tree out of size class 0 and into a larger size class. Conversely, death or harvest is represented by the movement of a tree out of a larger size class and into size class 0. Application of the Markov chain, including the calculation of a stationary size-class distribution, is demonstrated. For. Sci 35(1):pp. 245-250.

Keywords: Probability; size-class distribution; stationary distribution; transition matrix; yield-class distribution

Document Type: Miscellaneous

Affiliations: J. P. Weyerhaeuser, Jr., Professor of Forest Management, School of Forestry and Environmental Studies, Yale University, New Haven, CT.

Publication date: March 1, 1989

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