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The Use of Bayes/Empirical Bayes Estimation in Individual Tree Volume Equation Development

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Abstract:

Two empirical Bayes estimators were presented for the parameters in the combined variable volume equation. For the slope coefficient, an informative prior distribution was used, while noninformative priors were specified for the error term and the intercept. The empirical Bayes estimators were compared to weighted least squares estimators for loblolly pine, white oak, black cherry, and red maple through simulation studies. The empirical Bayes estimators were superior in terms of predictive ability for white oak and black cherry. There was little difference between empirical Bayes and least squares for loblolly pine, and least squares was superior for red maple. These results were attributed to the quality of the prior information for each species. Finally, there was an indication that in cases where good prior information exists, empirical Bayes estimation may be used to reduce the amount of data necessary to construct volume equations. Forest Sci. 31:975-990.

Keywords: Weighted least squares; combined variable equation; eastern hardwoods; loblolly pine

Document Type: Journal Article

Affiliations: Professor of Statistics, Department of Statistics, Rutgers College, Rutgers University, P.O. Box 231, New Brunswick, NJ 08903

Publication date: 1985-12-01

More about this publication?
  • 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
    Ranking: 16 of 66 in forestry

    Average time from submission to first decision: 62.5 days*
    June 1, 2016 to Feb. 28, 2017

    Also published by SAF:
    Journal of Forestry
    Other SAF Publications
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