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Weighted Regression in Successive Forest Inventories

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The main objective of this study was to conduct a rigorous analysis of available data to test the validity of updating timber volume estimates by means of least-squares regression. The data were tested to determine if the updating model developed by Ware (1960) violates any of the assumptions of least-squares regression; namely, independence, normality, and homogeneous variance of regression residuals, as well as freedom from error in the independant variables. Analysis indicated that all assumptions were justified except homogeneity of the variance. It was found that weighted regression--employing a function of the expected current volume as a weight--stabilized the variance. In general, unweighted regression underestimated the variance of a volume predicted for a date later than the year of remeasurement. The results also suggest widespread applicability of the weighting procedure for estimating variances efficiently.

Document Type: Journal Article

Affiliations: Mathematical Statistician at the Northeastern Forest Expt. Sta., Forest Service, U.S. Dept Agric., Upper Darby, Pa.

Publication date: 1966-12-01

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

    Also published by SAF:
    Journal of Forestry
    Other SAF Publications
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