Abstract
When field plots are prevented from overlapping the boundary of the tract being sampled, the selection probabilities of population elements near the edge differ from what they are when plots are permitted to overlap the boundary. In both situations, selection probabilities of edge elements differ from those of elements located far to the interior of the tract. An analytical expression and graphical depiction of the altered selection probabilities are presented, accompanied by an empirical study of the consequences on estimation for the situation where plots are pulled back from the edge until just tangent with the boundary.
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References
Bonham, C. D. (1989), Measurements for Terrestrial Vegetation. New York: Wiley.
Finney, D., and Palca, H. (1949), “The Elimination of Bias Due to Edge-Effects in Forest Sampling,” Forestry, 23, 31–47.
Gregoire, T. G. (1982), “The Unbiasedness of the Mirage Correction Procedure for Boundary Overlap,” Forest Science, 28, 504–508.
— (1998), “Design-Based and Model-Based Inference in Survey Sampling: Appreciating the Difference,” Canadian Journal of Forest Research, 28, 1429–1447.
Gregoire, T. G., and Scott, C. T. (1990), “Sampling at the Stand Boundary: A Comparison of the Statistical Performance Among Eight Methods,” in Research in Forest Inventory, Monitoring, Growth and Yield proceedings of the International Union of Forest Research. Organizations XIX World Congress, Montreal, Canada, 5–11 August, 1990, eds. H. E. Burkhart, G. M. Bonnor, and J. J. Lower, Publ. FWS-3-90, School of Forestry and Wildlife Resources, Virginia Polytechnic Institute and State University, pp. 78–85.
Husch, B., Miller, C. I., and Beers, T. W. (1982), Forest Mensuration, New York: Wiley.
Kaiser, L. (1983), “Unbiased Estimation in Line-Intercept Sampling,” Biometrics, 39, 965–976.
Lee, P. C., Crites, S., Nietfeld, M., VanNguyen, H., and Stelfox, J. B. (1997), “Characteristics and Origins of Deadwood Material in Aspen-Dominated Boreal; Forests,” Ecological Applications, 7, 691–701.
Lucas, H. A., and Seber, G. A. F. (1977), “Estimating Coverage and Particle Density Using the Line Intercept Method,” Biometrika, 64, 618–622.
Masuyama, M. (1954), “On the Error in Crop Cutting Experiment Due to the Bias on the Border of the Grid,” Sankhya, 14, 181–186.
Philip, M. S. (1994), Measuring Trees and Forests, Oxon, United Kingdom: CAB International.
Pound, R., and Clements, F.E. (1898), “A Method of Determining the Abundance of Secondary Species,” Minnesota Botanical Studies, 11, 19–24.
Särndal, C.-E. (1978), “Design-Based and Model-Based Inference in Survey Sampling,” Scandinavian Journal of Statistics, 5, 27–52.
Stevens, D. L., Jr. (2001), “Edge Effect in Determining Means and Totals for Spatial Environmental Variables,” in Encyclopedia of Environmentrics, eds. A. H. El-Shaarawi and W. W. Piegorsch, Chichester: Wiley.
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Gregoire, T.G., Scott, C.T. Altered selection probabilities caused by avoiding the edge in field surveys. JABES 8, 36–47 (2003). https://doi.org/10.1198/1085711031247
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DOI: https://doi.org/10.1198/1085711031247