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Notes: Projections with Ingrowth by Markov Chains

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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: 1989-03-01

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  • Forest Science is a peer-reviewed journal publishing fundamental and applied research that explores all aspects of natural and social sciences as they apply to the function and management of the forested ecosystems of the world. Topics include silviculture, forest management, biometrics, economics, entomology & pathology, fire & fuels management, forest ecology, genetics & tree improvement, geospatial technologies, harvesting & utilization, landscape ecology, operations research, forest policy, physiology, recreation, social sciences, soils & hydrology, and wildlife management.
    Forest Science is published bimonthly in February, April, June, August, October, and December.

    2015 Impact Factor: 1.702
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    June 1, 2016 to Feb. 28, 2017

    Also published by SAF:
    Journal of Forestry
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