Using generalized dissimilarity modelling to analyse and predict patterns of beta diversity in regional biodiversity assessment

Generalized dissimilarity modelling (GDM) is a statistical technique for analysing and predicting spatial patterns of turnover in community composition (beta diversity) across large regions. The approach is an extension of matrix regression, designed specifically to accommodate two types of nonlinearity commonly encountered in large‐scaled ecological data sets: (1) the curvilinear relationship between increasing ecological distance, and observed compositional dissimilarity, between sites; and (2) the variation in the rate of compositional turnover at different positions along environmental gradients. GDM can be further adapted to accommodate special types of biological and environmental data including, for example, information on phylogenetic relationships between species and information on barriers to dispersal between geographical locations. The approach can be applied to a wide range of assessment activities including visualization of spatial patterns in community composition, constrained environmental classification, distributional modelling of species or community types, survey gap analysis, conservation assessment, and climate‐change impact assessment.

[1]  S. Ferrari,et al.  Beta Regression for Modelling Rates and Proportions , 2004 .

[2]  S. Wright,et al.  Beta Diversity in Tropical Forests , 2002, Science.

[3]  Robert H. Whittaker,et al.  Evolution of Species Diversity in Land Communities , 1977 .

[4]  S. Morand,et al.  Geographical distances and the similarity among parasite communities of conspecific host populations , 1999, Parasitology.

[5]  Bryan F. J. Manly,et al.  Randomization and regression methods for testing for associations with geographical, environmental and biological distances between populations , 1986, Researches on Population Ecology.

[6]  R. Sokal,et al.  Multiple regression and correlation extensions of the mantel test of matrix correspondence , 1986 .

[7]  Antoine Guisan,et al.  Predictive habitat distribution models in ecology , 2000 .

[8]  Kalle Ruokolainen,et al.  Beta-diversity in tropical forests. , 2002, Science.

[9]  Eric R. Ziegel,et al.  Generalized Linear Models , 2002, Technometrics.

[10]  P. Legendre Spatial Autocorrelation: Trouble or New Paradigm? , 1993 .

[11]  W. Hargrove,et al.  Potential of Multivariate Quantitative Methods for Delineation and Visualization of Ecoregions , 2004, Environmental management.

[12]  Stephen P. Hubbell,et al.  Beta-Diversity in Tropical Forest Trees , 2002, Science.

[13]  Brendan Mackey,et al.  Assessing the representativeness of the wet tropics of Queensland world heritage property , 1989 .

[14]  A. Townsend Peterson,et al.  Novel methods improve prediction of species' distributions from occurrence data , 2006 .

[15]  A. Peterson,et al.  New developments in museum-based informatics and applications in biodiversity analysis. , 2004, Trends in ecology & evolution.

[16]  J. Duivenvoorden,et al.  Beta diversity in tropical forests: respons. , 2002 .

[17]  S. Ferrier,et al.  Linking beta diversity, environmental variation, and biodiversity assessment , 2002 .

[18]  Campbell O. Webb,et al.  Phylogenies and Community Ecology , 2002 .

[19]  Kalle Ruokolainen,et al.  Analyzing or explaining beta diversity? Understanding the targets of different methods of analysis. , 2006, Ecology.

[20]  Ronen Kadmon,et al.  ENVIRONMENTAL CLUSTER ANALYSIS AS A TOOL FOR SELECTING COMPLEMENTARY NETWORKS OF CONSERVATION SITES , 2005 .

[21]  G. Powell,et al.  Mapping More of Terrestrial Biodiversity for Global Conservation Assessment , 2004 .

[22]  Hugh G. Gauch,et al.  The Relationship Between Sample Similarity and Ecological Distance , 1973 .

[23]  P. Legendre,et al.  MODELING BRAIN EVOLUTION FROM BEHAVIOR: A PERMUTATIONAL REGRESSION APPROACH , 1994, Evolution; international journal of organic evolution.

[24]  Guillem Chust,et al.  Determinants and spatial modeling of tree β-diversity in a tropical forest landscape in Panama , 2006 .

[25]  S. Sarkar,et al.  Systematic conservation planning , 2000, Nature.

[26]  David G. Lowe,et al.  Similarity Metric Learning for a Variable-Kernel Classifier , 1995, Neural Computation.

[27]  S. Ferrier,et al.  Survey-gap analysis in expeditionary research: where do we go from here? , 2005 .

[28]  D. Fairbanks,et al.  Identifying regional landscapes for conservation planning: a case study from KwaZulu-Natal, South Africa. , 2000 .

[29]  D. Faith Conservation evaluation and phylogenetic diversity , 1992 .

[30]  Kalle Ruokolainen,et al.  Mapping gradual landscape-scale floristic changes in Amazonian primary rain forests by combining ordination and remote sensing , 2005 .

[31]  Jari Oksanen,et al.  Rate of compositional turnover along gradients and total gradient length , 1995 .

[32]  P. McCullagh,et al.  Generalized Linear Models, 2nd Edn. , 1990 .

[33]  R. Cowling,et al.  Why is the Cape Peninsula so rich in plant species? An analysis of the independent diversity components , 1996, Biodiversity & Conservation.

[34]  S. Ferrier Mapping spatial pattern in biodiversity for regional conservation planning: where to from here? , 2002, Systematic biology.

[35]  Antoine Guisan,et al.  Spatial modelling of biodiversity at the community level , 2006 .

[36]  Glenn De'ath,et al.  Extended dissimilarity: a method of robust estimation of ecological distances from high beta diversity data , 1999, Plant Ecology.

[37]  Michael Drielsma,et al.  Extended statistical approaches to modelling spatial pattern in biodiversity in northeast New South Wales. II. Community-level modelling , 2002, Biodiversity & Conservation.

[38]  Kevin J. Gaston,et al.  Measuring beta diversity for presence–absence data , 2003 .

[39]  Suzanne Winsberg,et al.  Multidimensional scaling with constrained dimensions: CONSCAL , 1997 .

[40]  P. Legendre,et al.  ANALYZING BETA DIVERSITY: PARTITIONING THE SPATIAL VARIATION OF COMMUNITY COMPOSITION DATA , 2005 .

[41]  A. Tsoar,et al.  Predicting Regional Patterns of Similarity in Species Composition for Conservation Planning , 2005 .

[42]  C. L. Mohler,et al.  Measuring compositional change along gradients , 1983, Vegetatio.

[43]  Daniel P. Faith,et al.  Compositional dissimilarity as a robust measure of ecological distance , 1987, Vegetatio.

[44]  J. Ramsay Monotone Regression Splines in Action , 1988 .

[45]  D. P. Faith,et al.  Environmental diversity: on the best-possible use of surrogate data for assessing the relative biodiversity of sets of areas , 1996, Biodiversity & Conservation.

[46]  Michael R. Gray,et al.  Spatial turnover in species composition of ground-dwelling arthropods, vertebrates and vascular plants in north-east New South Wales: implications for selection of forest reserves , 1999 .

[47]  P. Duffy,et al.  High-resolution simulations of global climate, part 2: effects of increased greenhouse cases , 2003 .