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3 - The distribution of species: occupancy, scale, and rarity

Published online by Cambridge University Press:  05 August 2012

Fangliang He
Affiliation:
University of Alberta
Rick Condit
Affiliation:
Smithsonian Tropical Research Institute
David Storch
Affiliation:
Charles University, Prague
Pablo Marquet
Affiliation:
Pontificia Universidad Catolica de Chile
James Brown
Affiliation:
University of New Mexico
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Summary

Introduction

Species occupancy is typically measured as the number of cells occupied by the species in a study area. Because it is easy to document and interpret and it correlates with species abundance, occupancy is widely used for measuring species rarity and for assessing extinction risk on which conservation decisions are made (Gaston, 1994; Fagan et al., 2002; Hartley & Kunin, 2003; Wilson et al., 2004). Ecologists and conservation practitioners, however, have long realized that occupancy often fails to capture significant spatial features of distribution. It is possible that two species having the same occupancy can exhibit very different patterns (Fig. 3.1). Most species in nature are discretely distributed due to the patchiness of landscapes, or due to intrinsic reproductive or dispersal behavior of the species. An outstanding problem concerning species distribution in space is how to describe the patchiness of a species and to measure the effect of changing spatial scale (cell size) on the patchiness for the purpose of predicting distribution at fine scales from coarse scales.

There are two primary approaches to addressing this question. The first one is to use existing measures and methods to describe patchiness and scale effect. Many fragmentation indices in landscape ecology can be used for this purpose (Turner, Gardner & O'Neill, 2001; Wu et al., 2003). These include edge length (perimeter), the number of patches, perimeter/area ratio and many other indices to capture the spatial features of species distribution.

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Publisher: Cambridge University Press
Print publication year: 2007

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References

Condit, R., Hubbell, S. P. & Foster, R. B. (1996). Changes in tree species abundance in a Neotropical forest: impact of climate change. Journal of Tropical Ecology, 12, 231–256.CrossRefGoogle Scholar
Currie, D. J. (1991). Energy and large scale patterns of animal and plant species richness. American Naturalist, 137, 27–49.CrossRefGoogle Scholar
Cutler, C. D. (1993). A review of the theory and estimation of fractal dimension. In Nonlinear Time Series and Chaos. Vol. I: Dimension Estimation and Models, ed. Tong, H., pp. 1–107. Singapore: World Scientific.Google Scholar
Fagan, W. F., Unmack, P. J., Burgess, C. & Minckley, W. L. (2002). Rarity, fragmentation, and extinction risk in desert fishes. Ecology, 83, 3250–3256.CrossRefGoogle Scholar
Fagan, W. F., Aumann, C., Kennedy, C. M. & Unmack, P. J. (2005). Rarity, fragmentation, and the scale dependence of extinction risk in desert fishes. Ecology, 86, 34–41.CrossRefGoogle Scholar
Gardner, R. H., Milne, B. T., Turner, M. G. & O'Neill, R. V. (1987). Neutral models for the analysis of broad-scale landscape patterns. Landscape Ecology, 1, 19–28.CrossRefGoogle Scholar
Gaston, K. J. (1994). Rarity. London: Chapman and Hall.CrossRefGoogle Scholar
Gaston, K. J. & Blackburn, T. M. (2000). Patterns and Process in Macroecology. Oxford: Blackwell Science.CrossRefGoogle Scholar
Halley, J. M., Hartley, S., Kallimanis, A. S., Kunin, W. E., Lennon, J. J. & Sgardelis, S. P. (2004). Uses and abuses of fractal methodology in ecology. Ecology Letters, 7, 254–271.CrossRefGoogle Scholar
Hanski, I. & Gyllenberg, M. (1997). Uniting two general patterns in the distribution of species. Science, 275, 397–400.CrossRefGoogle ScholarPubMed
Hartley, S. & Kunin, W. E. (2003). Scale dependency of rarity, extinction risk, and conservation priority. Conservation Biology, 17, 1559–1570.CrossRefGoogle Scholar
Hartley, S., Kunin, W. E., Lennon, J. L. & Pocock, M. J. (2004). Coherence and discontinuity in the scaling of species' distribution patterns. Proceedings of the Royal Society of London, Series B, 271, 81–88.CrossRefGoogle ScholarPubMed
He, F. & Gaston, K. J. (2000). Estimating species abundance from occurrence. American Naturalist, 156, 553–559.CrossRefGoogle ScholarPubMed
He, F. L. & Hubbell, S. P. (2003). Percolation theory for the distribution and abundance of species. Physical Review Letters, 91, Art. No. 198103.CrossRefGoogle ScholarPubMed
He, F., Gaston, K. J. & Wu, J. (2002). On species occupancy-abundance models. Écoscience, 9, 119–126.CrossRefGoogle Scholar
He, F., Zhou, J. & Zhu, H. T. (2003). Autologistic regression model for the distribution of vegetation. Journal of Agricultural, Biological, and Environmental Statistics, 8, 205–222.CrossRefGoogle Scholar
Heikkinen, J. & Högmander, H. (1994). Fully Bayesian approach to image restoration with an application in biogeography. Applied Statistics, 43, 569–582.CrossRefGoogle Scholar
Holt, A. R., Gaston, K. J. & He, F. (2002). Occupancy-abundance relationships and spatial distribution: a review. Basic and Applied Ecology, 3, 1–13.CrossRefGoogle Scholar
Hubbell, S. P. & Foster, R. B. (1983). Diversity of canopy trees in a neotropical forest and implications for conservation. In Tropical Rain Forest: Ecology and Management, ed. Sutton, S. L., Whitmore, T. C. & Chadwick, A. C., pp. 25–41. Oxford: Blackwell Scientific Publications.Google Scholar
Hurlbert, A. H. & Haskell, J. P. (2003). The effect of energy and seasonality on avian species richness and community composition. American Naturalist, 161, 83–97.CrossRefGoogle ScholarPubMed
Kunin, W. E. (1998). Extrapolating species abundance across spatial scales. Science, 281, 1513–1515.CrossRefGoogle ScholarPubMed
Kunin, W. E., Hartley, S. & Lennon, J. J. (2000). Scaling down: on the challenge of estimating abundance from occurrence patterns. American Naturalist, 156, 560–566.CrossRefGoogle ScholarPubMed
Leitner, W. A. & Rosenzweig, M. L. (1997). Nested species-area curves and stochastic sampling: a new theory. Oikos, 79, 503–512.CrossRefGoogle Scholar
Lennon, J. J., Greenwoord, J. J. D. & Turner, J. R. G. (2000). Bird diversity and environmental gradients in Britain: a test of the species–energy hypothesis. Journal of Animal Ecology, 69, 581–598.CrossRefGoogle Scholar
MacKenzie, D. I., Nichols, J. D., Lachman, G. B., Droege, S., Royle, J. A. & Langtimm, C. A. (2002). Estimating site occupancy rates when detection probabilities are less than one. Ecology, 83, 2248–2255.CrossRefGoogle Scholar
Myers, N., Mittermeier, R. A., Mittermeier, C. G., da Fonseca, G. A. B. & Kent, J. (2000). Biodiversity hotspots for conservation priorities. Nature, 403, 853–858.CrossRefGoogle ScholarPubMed
Nachman, G. (1981). A mathematical model of the functional relationship between density and spatial distribution of a population. Journal of Animal Ecology, 50, 453–460.CrossRefGoogle Scholar
Preston, F. W. (1962). The canonical distribution of commonness and rarity: Part I. Ecology, 43, 185–215.CrossRefGoogle Scholar
Raxworthy, C. J., Martinez-Meyer, E., Horning, N.et al. (2003). Predicting distributions of known and unknown reptile species in Madagascar. Nature, 426, 837–841.CrossRefGoogle ScholarPubMed
Saupe, D. (1988). Algorithms for random fractals. In The Science of Fractal Images, ed. Peitgen, H. O. & Saupe, D., pp. 71–113. New York: Springer-Verlag.Google Scholar
Šizling, A. L. & Storch, D. (2004). Power-law species-area relationships and self-similar species distributions within finite areas. Ecology Letters, 7, 60–68.CrossRefGoogle Scholar
Thomas, C. D., Cameron, A., Green, R. E.et al. (2004). Extinction risk from climate change. Nature, 427, 145–148.CrossRefGoogle ScholarPubMed
Tosh, C. A., Reyers, B. & Jaarsveld, A. S. (2004). Estimating the abundances of large herbivores in the Kruger National Park using presence-absence data. Animal Conservation, 7, 55–61.CrossRefGoogle Scholar
Turner, M. G., Gardner, R. H. & O'Neill, R. V. (2001). Landscape Ecology in Theory and Practice. New York: Springer-Verlag.Google Scholar
Warren, M., McGeoch, M. A. & Chown, S. L. (2003). Predicting abundance from occupancy: a test for an aggregated assemblage. Journal of Animal Ecology, 72, 468–477.CrossRefGoogle Scholar
Wilson, R. J., Thomas, C. D., Fox, R., Roy, D. B. & Kunin, W. E. (2004). Spatial patterns in species distributions reveal biodiversity change. Nature, 432, 393–396.CrossRefGoogle ScholarPubMed
With, K. A., Gardner, R. H. & Turner, M. G. (1997). Landscape connectivity and population distributions in heterogeneous environments. Oikos, 78, 151–169.CrossRefGoogle Scholar
Witte, J. P. M. & Torfs, P. J. J. F. (2003). Scale dependency and fractal dimension of rarity. Ecography, 26, 60–68.CrossRefGoogle Scholar
Wright, D. H. (1991). Correlations between incidence and abundance are expected by chance. Journal of Biogeography, 18, 463–466.CrossRefGoogle Scholar
Wu, J., Shen, W.-J., Sun, W.-Z. & Tueller, P. T. (2003). Empirical patterns of the effects of changing scale on landscape metrics. Landscape Ecology, 17, 761–782.CrossRefGoogle Scholar

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