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A Coordinate-Free Area Variance Estimator for Forest Stands with a Fuzzy Outline

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Digitized forest maps offer the added convenience of automated area calculation of forest stand polygons. However, the "actual" stand areas in a forest management operation may deviate from the map value due to the mapping process and the delineation procedures used to identify stand boundaries for management operations. Three sources of area variances of mapped forest stand polygons are considered: the first due to the uncertainty inherent in coordinates, a second due to the linear interpolation between points, and a third due to the basic fuzziness of the boundary. A simple coordinate-free variance estimator is introduced, and predictions made from it are compared to a standard method requiring input of all polygon coordinates. When the coordinate-free variance estimator was applied to a set of simple polygons and a set of 120 natural forest stand polygons, a generally good agreement was found between the results from the two types of estimators. The coordinate-free method is suited for planning purposes when the error components arising from the uncertainties of forest stand areas are needed. For. Sci. 42(1):76-85.

Keywords: Forest stands; area; error; mapping; polygons

Document Type: Journal Article

Affiliations: Petawawa National Forestry Institute, P.O. Box 2000, Chalk River, Ontario, Canada KOJ 1JO

Publication date: 1996-02-01

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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