Skip to main content
Log in

Hierarchical, Multi-scale decomposition of species-environment relationships

  • Published:
Landscape Ecology Aims and scope Submit manuscript

Abstract

We present an adaptation of existing variance partitioning methods todecompose species-environment relationships in hierarchically-structured,multi-scaled data sets. The approach translates a hierarchical, multi-scaleconceptual model into a statistical decomposition of variance. It uses a seriesof partial canonical ordinations to divide the explained variance inspecies-environment relationships into its independent and confoundedcomponents, facilitating tests of the relative importance of factors atdifferent organizational levels in driving system behavior. We discuss themethod in the context of an empirical example based on forest bird communityresponses to multiple habitat scales in the Oregon Coast Range, USA. Theexamplepresents a two-tiered decomposition of the variation in the bird community thatis explainable by a series of habitat factors nested within three spatialscales(plot, patch, and landscape). This method is particularly suited for theproblems of hierarchically structured landscape data. The explicit multi-scaleapproach is a major step forward from conducting separate analyses at differentscale levels, as it allows comprehensive analysis of the interaction of factorsacross scales and facilitates ecological interpretation in theoretical terms.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Allen T.F.H. and Starr T.B. 1982. Hierarchy: Perspectives for Ecological Complexity. University of Chicago Press, Chicago, Illinois, USA.

    Google Scholar 

  • Anderson M.J. and Gribble N.A. 1998. Partitioning the variation among spatial, temporal and environmental components in a multivariate data set. Australian Journal of Ecology 23: 158–167.

    Google Scholar 

  • Anderson M.J. and Legendre P. 1999. An empirical comparison of permtuation methods for tests of partial regression coefficients in a linear model. J. Stat. Comput. Sim. 62: 271–303.

    MathSciNet  Google Scholar 

  • Borcard D. and Legendre P. 1994. Environmental control and spatial structure in ecological communities: an example using oribatid mites (Acari, Orbiatei). Environ. Ecol. Stat. 1: 37–53.

    Article  Google Scholar 

  • Borcard D., Legendre P. and Drapeau P. 1992. Partialling out the spatial component of ecological variation. Ecology 73: 1045–1055.

    Google Scholar 

  • Kotliar N.B. and Wiens J.A. 1990. Multiple scales of patchiness and patch structure: a hierarchical framework for the study of heterogeneity. Oikos 59: 253–260.

    Google Scholar 

  • Legendre P. and Borcard D. 1994. Rejoiner. Environ. Ecol. Stat. 1: 57–61.

    Article  Google Scholar 

  • Legendre P. and Legendre L. 1998. Numerical Ecology. 2nd edn. Elsevier, Amsterdam, The Netherlands.

    Google Scholar 

  • Liu Q.H. and Brakenhielm S. 1995. A statistical approach to decompose ecological variation. Water, Air, and Soil Pollution 1–4: 61–87.

    Google Scholar 

  • McGarigal K. and Cushman S.A. 2002. Comparative evaluation of experimental approaches to the study of habitat fragmentation effects. Ecological Applications.

  • McGarigal K., Cushman S.A. and Stafford S. 2000. Multivariate Statistics for Wildlife and Ecology Research. Springer Verlag, New York, New York, USA.

    Google Scholar 

  • McGarigal K. and Marks B.J. 1995. FRAGSTATS: spatial pattern analysis program for quantifying landscape structure. Gen. Tech. Rep. PNW-GTR-351., Portland, Oregon, USA.

  • McGarigal K. and McComb W.C. 1995. Relationships between landscape structure and breeding birds in the Oregon Coast Range. Ecological Monographs 65: 235–260.

    Google Scholar 

  • O’Neill R.V., DeAngelis D.L., Waide J.B. and Allen T.F.H. 1986. A Hierarchical Concept of Ecosystems. Princeton University Press, Princeton, New Jersy, USA.

    Google Scholar 

  • Schneider D.C. 1994. Quantitative Ecology: Spatial and Temporal Scaling. Academic Press, San Diego, California, USA.

    Google Scholar 

  • ter Braak C.J.F. 1986. Canonical correspondence analysis: a new eigenvector technique for multivariate direct gradient analysis. Ecology 67: 1167–1179.

    Google Scholar 

  • ter Braak C.J.F. 1987. The analysis of vegetation-environment relationships by canonical correspondence analysis. Vegetatio 75: 159–160.

    Google Scholar 

  • ter Braak C.J.F. 1988. Partial canonical correspondence analysis. In: Bock H.H. (ed.), Classification and Related Methods of Data Analysis., Amsterdam, North-Holland, The Netherlands, pp. 551–558.

    Google Scholar 

  • ter Braak C.J.F. 1992. Permutation vs. bootstrap significance tests in multiple regression and ANOVA. In: Jockel K.H., Rothe G. and Sendler W. (eds), Bootstrapping and Related Techniques. Springer-Verlag, Berlin, Germany, pp. 79–85.

    Google Scholar 

  • ter Braak C.J.F. and Prentice I.C. 1988. A theory of gradient analysis. Adv. Ecol. Res. 18: 271–317.

    Google Scholar 

  • ter Braak C.J.F. and Smilauer P. 1998. CANOCO Reference Manual and User’s Guide to Canoco for Windows: Software for Canonical Community Ordination (Version 4). Microcomputer Power, Ithaca, New York, USA.

    Google Scholar 

  • Wiens J.A. 1989. Spatial scaling in ecology. Functional Ecology 3: 385–397.

    Google Scholar 

  • Whittaker J. 1984. Model interpretation from the additive elements of the likelihood function. Appl. Statistics 33: 52–64.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Cushman, S.A., McGarigal, K. Hierarchical, Multi-scale decomposition of species-environment relationships. Landscape Ecol 17, 637–646 (2002). https://doi.org/10.1023/A:1021571603605

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1021571603605

Navigation