Abstract
Hierarchy theory predicts that a hierarchy of process rates should be reflected in a hierarchy of spatial and temporal scales observable on the landscape. We will show that multiple scales of pattern for total plant cover measured in the field at 1-m resolution are correlated with scales of vegetative pattern obtained from remotely sensed data with resolutions of 25 m2 and 30 2. Second, using four models based on postulates of hierarchy theory, we will combine the scales of pattern of each individual species within a community to estimate the remotely sensed community scales of pattern. Finally, we will compare the four models using a Bayesian analysis to determine which model best portrays how vegetative patterns of individual species combine to produce remotely observed community patterns. The results of the model comparisons provide an example of how postulates of hierarchy theory can be tested and how individual species patterns can be scaled-up to estimate remotely observed scales of pattern.
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References
Allen, T.F.H. and Starr, T.B. 1982. Hierarchy: Perspectives for Ecological Diversity .University of Chicago Press, Chicago, IL.
Carlile, D.W., Skalski, J.R., Batker, J.E., Thomas, J.M. and Cullinan, V.I. 1989. Determination of ecological scale. Landscape Ecology 2: 203–213.
Carpenter, S.R. 1990. Large-scale perturbations: opportunities for innovation. Ecology 71: 2038–2043.
Cullinan, V. I. and Thomas J.M. 1992. A comparison of quantitative methods for examining landscape pattern and scale. Landscape Ecology 7: 211–227.
Efron, B. and Gong, G. 1983. A leisurely look at the boot-strap, the jackknife, and cross-validation. The American Statistician 37: 36–48.
Greig-Smith, P. 1983. Quantitative Plant Ecology. University of California Press, Berkeley, CA.
Hill, M.O. 1973. The intensity of spatial pattern in plant communities. Journal of Ecology 61: 225–235.
O'Neill, R.V. 1988. Hierarchy theory and global change. In Scales and Global Change. pp. 29–45. Edited by T. Rosswall, R.G. Woodmansee and P.G. Risser. Wiley, NY.
O'Neill, R.V. 1989. Perspectives in hierarchy and scale. In Perspectives in Ecological Theory. pp. 140–156. Edited by J. Roughgarden, R.M. May and S.A. Levin. Princeton University Press, Princeton, NJ.
O'Neill, R.V., DeAngells, D.L., Waide, J.B., and Allen, T.P.H. 1986. A Hierarchical Concept of Ecosystems. Princeton University Press, Princeton, NJ.
O'Neill, R.V., Turner, J., Cullinan, V.I., Coffin, D.P., Cook, T., Conley, W., Brunt, J., Thomas, J.M., Conley, M.R. and Gosz, J. 1991. Multiple landscape scales: an intersite comparison. Landscape Ecology 5: 137–144.
Reckhow, K.H. 1990. Bayesian inference in non-replicated ecological studies. Ecology 71: 2053–2059.
Simmons, M.A., Cullinan, V.I. and Thomas, J.M. 1992. Satellite imagery as a tool to evaluate ecological scale. Landscape Ecology 7: 77–85.
Steel, R.G.D. and Torrie, J.H. 1980. Principles and procedures of statistics. McGraw-Hill Book Company, New York.
Trangmar, B.B., Yost, R.S., and Uehara, G. 1985. Application of geostatistics to spatial studies of soil properties. Adv. Agronomy 38: 44–94.
Turner, M.G. and Gardner, R.H. (eds.) 1991. Quantitative Methods in Landscape Ecology. The Analysis and Interpretation of Landscape Heterogeneity.Ecological Studies Series, Springer-Verlag, New York.
Walters, C.J. and Holling C.S. 1990. Large-scale management experiments and learning by doing. Ecology 71:2060–2068.
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Cullinan, V.I., Simmons, M.A. & Thomas, J.M. A Bayesian test of hierarchy theory: scaling up variability in plant cover from field to remotely sensed data. Landscape Ecology 12, 273–285 (1997). https://doi.org/10.1023/A:1007962415318
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DOI: https://doi.org/10.1023/A:1007962415318