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A Comparison of Some Estimators in Forest Sampling

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The performance of a number of estimators--simple expansion, ratio, unbiased ratio, regression, and unequal probability types and stratified sampling with the simple expansion estimator--was examined in three forest tree populations using sample sizes of 4, 12, 24, and 40. Estimates were constructed for total volume, height, and crown area for these test populations. Independent variables employed were diameter, height, and crown area plus several transformations and combinations of these terms. Relative performance was evaluated using estimates of sampling variances and biases obtained from repeated sampling of the test populations. For the larger sample sizes studied, linear and parabolic regression and the Horvitz-Thompson pps estimator were usually among the best three estimators. For the smaller sample sizes, linear regression, Horvitz-Thompson pps, and ratio-of-means estimators were best. Population characteristics affecting estimator performance and implications for practical problems are discussed. Forest Sci. 17:2-13.
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Keywords: Forest inventory; probability sampling

Document Type: Journal Article

Affiliations: Assistant Professor, Dep. of Forestry, University of Wisconsin, Madison

Publication date: 1971-03-01

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.

    2016 Impact Factor: 1.782 (Rank 17/64 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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