Geostatistics, spatial rate of change analysis and boundary detection in plant ecology and biogeography

Over the past decade, biologists and ecologists rather than geographers have been primarily responsible for developments in spatial analysis and geostatistics that are of great potential importance to both biogeography and community/landscape ecology. These advances in geostatistics, rate of change analysis and boundary detection and their application to floristic and environmental data at the community scale are reviewed. Issues of scale, spatial autocorrelation and terminology are introduced. Approaches to the description of spatial pattern in plant assemblages and environmental data, the quantification and removal of spatial autocorrelation, the spatial interpolation of data, techniques for the description and analysis of spatial rate of change and finally boundary detection are all reviewed in turn. Despite the development of new methods, the extent to which they have been applied more widely within both plant ecology and biogeography is limited. The paper concludes that perhaps the time is right for biogeographers to reassess the potential significance of these areas for the subject.

[1]  Walter Jetz,et al.  Local and global approaches to spatial data analysis in ecology , 2005 .

[2]  S. Levin THE PROBLEM OF PATTERN AND SCALE IN ECOLOGY , 1992 .

[3]  Jennifer L. Dungan,et al.  A balanced view of scale in spatial statistical analysis , 2002 .

[4]  S. Cushman,et al.  Separating the effects of environmental, spatial and disturbance factors on forest community structure in the Russian Far East , 2002 .

[5]  G. Likens,et al.  Pattern and process in a forested ecosystem. , 1979 .

[6]  Geoffrey M. Jacquez,et al.  From fields to objects: A review of geographic boundary analysis , 2000, J. Geogr. Syst..

[7]  M.-J. Fortin,et al.  Issues related to the detection of boundaries , 2000, Landscape Ecology.

[8]  M. Hill Correspondence Analysis: A Neglected Multivariate Method , 1974 .

[9]  Helene H. Wagner,et al.  SPATIAL COVARIANCE IN PLANT COMMUNITIES: INTEGRATING ORDINATION, GEOSTATISTICS, AND VARIANCE TESTING , 2003 .

[10]  Mike P. Austin,et al.  The potential contribution of vegetation ecology to biodiversity research , 1999 .

[11]  Noel A Cressie,et al.  Statistics for Spatial Data, Revised Edition. , 1994 .

[12]  C. Johnston,et al.  Quantitative Methods for Studying Landscape Boundaries , 1992 .

[13]  P. Dixon,et al.  Accounting for Spatial Pattern When Modeling Organism- Environment Interactions , 2022 .

[14]  Theophile Niyonsenga,et al.  Spatial and environmental components of freshwater zooplankton structure , 1995 .

[15]  K. R. Clarke,et al.  Non‐parametric multivariate analyses of changes in community structure , 1993 .

[16]  M. Goodchild,et al.  Geographic Information Systems and Science (second edition) , 2001 .

[17]  George L. W. Perry,et al.  Landscapes, space and equilibrium: shifting viewpoints , 2002 .

[18]  Martin Kent,et al.  Vegetation Description and Analysis: A Practical Approach , 1992 .

[19]  M. Fortin Effects of data types on vegetation boundary delineation , 1997 .

[20]  Jianguo Wu,et al.  Effects of changing spatial resolution on the results of landscape pattern analysis using spatial autocorrelation indices , 2005, Landscape Ecology.

[21]  Scott L. Collins,et al.  Gradient models, gradient analysis, and hierarchical structure in plant communities , 1997 .

[22]  M. Palmer,et al.  Fractal geometry: a tool for describing spatial patterns of plant communities , 1988, Vegetatio.

[23]  M. Goodchild,et al.  Spatial Uncertainty in Ecology , 2001, Springer New York.

[24]  Monica G. Turner,et al.  Quantitative methods in landscape ecology : the analysis and interpretation of landscape heterogeneity , 1991 .

[25]  Eddie J. B. van Etten,et al.  Multivariate Analysis of Ecological Data Using canoco , 2005 .

[26]  B. Anderson,et al.  Direct measurement of spatial autocorrelation at the community level in four plant communities , 2000 .

[27]  B. Jonsson,et al.  Patterns in species associations in plant communities: the importance of scale , 1998 .

[28]  Daniel G. Brown,et al.  Mapping historical forest types in Baraga County Michigan, USA as fuzzy sets , 2004, Plant Ecology.

[29]  Daniel G. Brown,et al.  Classification and Boundary Vagueness in Mapping Presettlement Forest Types , 1998, Int. J. Geogr. Inf. Sci..

[30]  W. Tobler A Computer Movie Simulating Urban Growth in the Detroit Region , 1970 .

[31]  G M Jacquez,et al.  Synthetic cancer variables and the construction and testing of synthetic risk maps. , 1993, Statistics in medicine.

[32]  R. Whittaker,et al.  Scale and species richness: towards a general, hierarchical theory of species diversity , 2001 .

[33]  D Hémon,et al.  Assessing the significance of the correlation between two spatial processes. , 1989, Biometrics.

[34]  A. D. Armand,et al.  Landscape boundaries: consequences for biotic diversity and ecological flows. , 1992 .

[35]  C. Lortie,et al.  Rethinking plant community theory , 2004 .

[36]  Pierre Legendre,et al.  Untangling Multiple Factors in Spatial Distributions: Lilies, Gophers, and Rocks , 1996 .

[37]  Ludovic Roux,et al.  Characterisation of ecotones using membership degrees computed with a fuzzy classifier , 1998 .

[38]  D. Griffith What is spatial autocorrelation? Reflections on the past 25 years of spatial statistics , 1992 .

[39]  Kevin J. Gaston,et al.  The structure and dynamics of geographic ranges , 2003 .

[40]  Eric J. Gustafson,et al.  Quantifying Landscape Spatial Pattern: What Is the State of the Art? , 1998, Ecosystems.

[41]  Pierre Legendre,et al.  Multiscale sources of variation in ecological variables: modeling spatial dispersion, elaborating sampling designs , 1998, Landscape Ecology.

[42]  J. Ord,et al.  Spatial Processes: Models and Applications , 1984 .

[43]  S. Bråkenhielm,et al.  A statistical approach to decompose ecological variation , 1995 .

[44]  Michael S. Rosenberg,et al.  Conceptual and Mathematical Relationships among Methods for Spatial Analysis , 2022 .

[45]  Noel A Cressie,et al.  Spatial models for spatial statistics: some unification , 1993 .

[46]  Jessica Gurevitch,et al.  Integrating the Statistical Analysis of Spatial Data in Ecology , 2022 .

[47]  E. L. Usery Category Theory and the Structure of Features in Geographic Information Systems , 1993 .

[48]  Robert R. Sokal,et al.  Local spatial autocorrelation in biological variables , 1998 .

[49]  Marie-Josée Fortin,et al.  Edge detection algorithms for two-dimensional ecological data , 1993 .

[50]  G. Barbujani,et al.  Diversity of some gene frequencies in European and Asian populations. II. Fit of an isolation by distance model. , 1987, Human heredity.

[51]  James N. Burch,et al.  Biogeography. An Ecological and Evolutionary Approach , 1994, Economic Botany.

[52]  M. Fortin,et al.  Spatial autocorrelation and statistical tests in ecology , 2002 .

[53]  Koenig,et al.  Spatial autocorrelation of ecological phenomena. , 1999, Trends in ecology & evolution.

[54]  Carolyn T. Hunsaker,et al.  An Introduction to Uncertainty Issues for Spatial Data Used in Ecological Applications , 2001 .

[55]  C. Braak,et al.  The analysis of vegetation-environment relationships by canonical correspondence analysis , 1987, Vegetatio.

[56]  C. Braak,et al.  Data Analysis in Community and Landscape Ecology: Preface to first edition , 1995 .

[57]  R. Boerner,et al.  Vegetation boundary detection: A comparison of two approaches applied to field data , 2002, Plant Ecology.

[58]  P. Moran Notes on continuous stochastic phenomena. , 1950, Biometrika.

[59]  M. Graham CONFRONTING MULTICOLLINEARITY IN ECOLOGICAL MULTIPLE REGRESSION , 2003 .

[60]  C.J.F. ter Braak,et al.  CANOCO Reference Manual and User's Guide to Canoco for Windows: Software for Canonical Community Ordination (Version 4) , 1998 .

[61]  Marie-Josée Fortin,et al.  Boundary Detection in Altitudinal Treeline Ecotones in the Spanish Central Pyrenees , 2000 .

[62]  Robert H. Whittaker,et al.  A Consideration of Climax Theory: The Climax as a Population and Pattern , 1953 .

[63]  W. Koenig,et al.  Testing for spatial autocorrelation in ecological studies , 1998 .

[64]  WILLIAM F. FAGAN,et al.  Integrating Edge Detection and Dynamic Modeling in Quantitative Analyses of Ecological Boundaries , 2003 .

[65]  Frederik P. Agterberg,et al.  Interactive spatial data analysis , 1996 .

[66]  Noel A Cressie,et al.  Uncertainty and Spatial Linear Models for Ecological Data , 2001 .

[67]  C. Johnston Geographic Information Systems in Ecology , 1998 .

[68]  Martin Kent,et al.  Numerical classification and ordination methods in biogeography , 2006 .

[69]  Rune Halvorsen Økland,et al.  Canonical Correspondence Analysis with variation partitioning: some comments and an application , 1994 .

[70]  Cynthia S. A. Wallace,et al.  Characterizing the spatial structure of vegetation communities in the Mojave Desert using geostatistical techniques , 2000 .

[71]  P. Clifford,et al.  Modifying the t test for assessing the correlation between two spatial processes , 1993 .

[72]  On the Limits and Extensions of the Definition of Scale , 2003 .

[73]  Edzer J. Pebesma,et al.  Multivariable geostatistics in S: the gstat package , 2004, Comput. Geosci..

[74]  J. Dungan Spatial prediction of vegetation quantities using ground and image data , 1998 .

[75]  David J. Mulla,et al.  Geostatistical Tools for Modeling and Interpreting Ecological Spatial Dependence , 1992 .

[76]  E. Dietz Permutation Tests for Association Between Two Distance Matrices , 1983 .

[77]  C. Braak Canonical Correspondence Analysis: A New Eigenvector Technique for Multivariate Direct Gradient Analysis , 1986 .

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

[79]  P. Legendre,et al.  Partialling out the spatial component of ecological variation , 1992 .

[80]  E. Maarel On the establishment of plant community boundaries , 1976 .

[81]  DAVID L. STRAYER,et al.  A Classification of Ecological Boundaries , 2003 .

[82]  R. Whittaker,et al.  Species Diversity--Scale Matters , 2002, Science.

[83]  Pierre Legendre,et al.  Study of spatial components of forest cover using partial Mantel tests and path analysis , 1992 .

[84]  Fangju Wang,et al.  Fuzzy Representation of Geographical Boundaries in GIS , 1996, Int. J. Geogr. Inf. Sci..

[85]  A. Papritz,et al.  An Empirical Comparison of Kriging Methods for Nonlinear Spatial Point Prediction , 2002 .

[86]  Jack J. Lennon,et al.  Red-shifts and red herrings in geographical ecology , 2000 .

[87]  B. McCune,et al.  Analysis of Ecological Communities , 2002 .

[88]  T. Bailey Spatial Analysis: A Guide for Ecologists , 2006 .

[89]  Carolyn T. Hunsaker,et al.  Spatial uncertainty in ecology : implications for remote sensing and GIS applications , 2002 .

[90]  M. Fortin,et al.  Spatial pattern and ecological analysis , 1989, Vegetatio.

[91]  B. E. Livingston Research Methods in Ecology , 1924 .

[92]  P. Burrough GIS and geostatistics: Essential partners for spatial analysis , 2001, Environmental and Ecological Statistics.

[93]  G M Jacquez,et al.  The map comparison problem: tests for the overlap of geographic boundaries. , 1995, Statistics in medicine.

[94]  K. Weathers,et al.  An Interdisciplinary and Synthetic Approach to Ecological Boundaries , 2003 .

[95]  M. Austin A silent clash of paradigms : some inconsistencies in community ecology , 1999 .

[96]  S. Levin The problem of pattern and scale in ecology , 1992 .

[97]  Marti J. Anderson,et al.  Partitioning the variation among spatial, temporal and environmental components in a multivariate data set , 1998 .

[98]  C.J.F. ter Braak,et al.  The analysis of vegetation-environment relationships by canonical correspondence analysis , 1987 .

[99]  R. Sokal,et al.  Spatial autocorrelation in biology: 1. Methodology , 1978 .

[100]  Philip Lewis,et al.  Geostatistical classification for remote sensing: an introduction , 2000 .

[101]  M. Austin Spatial prediction of species distribution: an interface between ecological theory and statistical modelling , 2002 .

[102]  Geoffrey Edwards,et al.  Delineation and Analysis of Vegetation Boundaries , 2001 .

[103]  Geoffrey M. Jacquez,et al.  Quantification of the Spatial Co-Occurrences of Ecological Boundaries , 1996 .

[104]  Økland Rune Halvorsen Partitioning the variation in a plot-by-species data matrix that is related to n sets of explanatory variables , 2003 .

[105]  J. M. Cornelius,et al.  Locating Discontinuities along Ecological Gradients , 1987 .

[106]  Pierre Legendre,et al.  All-scale spatial analysis of ecological data by means of principal coordinates of neighbour matrices , 2002 .

[107]  Robert R. Sokal,et al.  Approximate analysis of variance of spatially autocorrelated regional data , 1990 .

[108]  D. Krige,et al.  Geostatistical case studies of the advantages of lognormal-de Wijsian kriging with mean for a base metal mine and a gold mine , 1982 .

[109]  D. R. Nielsen,et al.  Spatial and Temporal Statistics - Sampling Field Soils and Their Vegetation , 2003 .

[110]  Marie-Josée Fortin,et al.  Spatial autocorrelation and sampling design in plant ecology , 1989, Vegetatio.

[111]  G. Robertson Geostatistics in Ecology: Interpolating With Known Variance , 1987 .

[112]  Scott L. Collins,et al.  A method to determine rates and patterns of variability in ecological communities. , 2000 .

[113]  P. Diggle,et al.  Model‐based geostatistics , 2007 .

[114]  M. Kent,et al.  Landscape and plant community boundaries in biogeography , 1997 .

[115]  Jennifer L. Dungan,et al.  Illustrations and guidelines for selecting statistical methods for quantifying spatial pattern in ecological data , 2002 .

[116]  Ter Braak,et al.  Canoco reference manual and CanoDraw for Windows user''s guide: software for canonical community ord , 2002 .

[117]  Noel A Cressie,et al.  Spatial statistics: Analysis of field experiments , 2001 .

[118]  P. Burrough,et al.  Principles of geographical information systems , 1998 .

[119]  S. J. Turner Landscape Ecology Concepts, Methods and Applications , 2005, Landscape Ecology.

[120]  Noel A Cressie Spatial Data Analysis by Example—Volume I: Point Pattern and Quantitative Data , 1987 .

[121]  M. Palmer PUTTING THINGS IN EVEN BETTER ORDER: THE ADVANTAGES OF CANONICAL CORRESPONDENCE ANALYSIS' , 1993 .

[122]  M. Fortin Effects of sampling unit resolution on the estimation of spatial autocorrelation , 1999 .

[123]  Mark R. T. Dale,et al.  The spacing and intermingling of species boundaries on an environmental gradient , 1988 .

[124]  Brian H. McArdle,et al.  FITTING MULTIVARIATE MODELS TO COMMUNITY DATA: A COMMENT ON DISTANCE‐BASED REDUNDANCY ANALYSIS , 2001 .

[125]  N. Mantel The detection of disease clustering and a generalized regression approach. , 1967, Cancer research.

[126]  Jürgen Symanzik,et al.  Statistical Analysis of Spatial Point Patterns , 2005, Technometrics.

[127]  Hanna Tuomisto,et al.  DISSECTING THE SPATIAL STRUCTURE OF ECOLOGICAL DATA AT MULTIPLE SCALES , 2004 .

[128]  Peter M. Atkinson,et al.  Geostatistics and remote sensing , 1998 .

[129]  Robert R. Sokal,et al.  Directional Autocorrelation: An Extension of Spatial Correlograms to Two Dimensions , 1986 .

[130]  C. Braak,et al.  Canonical correspondence analysis and related multivariate methods in aquatic ecology , 1995, Aquatic Sciences.

[131]  Fangju Wang Towards a Natural Language User Interface: An Approach of Fuzzy Query , 1994, Int. J. Geogr. Inf. Sci..

[132]  P. White,et al.  The distance decay of similarity in biogeography and ecology , 1999 .

[133]  Marie-Josée Fortin,et al.  Spatial Statistics in Landscape Ecology , 1999 .

[134]  R. Callaway Positive interactions in plant communities and the individualistic-continuum concept , 1997, Oecologia.

[135]  T. C. Haas,et al.  Model-based geostatistics. Discussion. Authors' reply , 1998 .

[136]  J. Gosz Fundamental Ecological Characteristics of Landscape Boundaries , 1991 .

[137]  C. Braak,et al.  Data analysis in community and landscape ecology. 2nd Edition. , 1995 .

[138]  M. Samways,et al.  Developments in Numerical Ecology , 1989 .

[139]  M. Fortin,et al.  Delineation of Ecological Boundaries: Comparison of Approaches and Significance Tests , 1995 .

[140]  R. Sokal,et al.  Detecting Regions of Abrupt Change in Maps of Biological Variables , 1989 .

[141]  Donald E. Myers,et al.  Basic Linear Geostatistics , 1998, Technometrics.

[142]  Jan Lepš,et al.  Multivariate Analysis of Ecological Data using CANOCO , 2003 .

[143]  M. Hill,et al.  Reciprocal Averaging : an eigenvector method of ordination , 1973 .

[144]  Clayton V. Deutsch,et al.  GSLIB: Geostatistical Software Library and User's Guide , 1993 .

[145]  R. Whittaker Vegetation of the Siskiyou Mountains, Oregon and California , 1960 .

[146]  P. Burrough Data Analysis in Community and Landscape Ecology: Spatial aspects of ecological data , 1995 .

[147]  Student,et al.  The Elimination of Spurious Correlation due to Position in Time or Space , 1914 .

[148]  Marie-Josée Fortin,et al.  Effects of quadrat size and data measurement on the detection of boundaries , 1999 .

[149]  R. Reese Geostatistics for Environmental Scientists , 2001 .

[150]  J. R. Wallis,et al.  An Approach to Statistical Spatial-Temporal Modeling of Meteorological Fields , 1994 .

[151]  A. McBratney,et al.  A continuum approach to soil classification by modified fuzzy k‐means with extragrades , 1992 .

[152]  Pierre Legendre,et al.  Environmental control and spatial structure in ecological communities: an example using oribatid mites (Acari, Oribatei) , 1994, Environmental and Ecological Statistics.

[153]  J. Diniz‐Filho,et al.  Spatial autocorrelation and red herrings in geographical ecology , 2003 .

[154]  Trevor C. Bailey,et al.  A review of statistical spatial analysis in geographical information systems , 1994 .

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

[156]  Richard P. Armitage,et al.  Identification of the spectral characteristics of British semi-natural upland vegetation using direct ordination: a case study from Dartmoor, UK , 2004 .

[157]  R. Geary,et al.  The Contiguity Ratio and Statistical Mapping , 1954 .

[158]  Robert R. Sokal,et al.  Spatial autocorrelation in biology: 2. Some biological implications and four applications of evolutionary and ecological interest , 1978 .

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

[160]  F. H. Bormann,et al.  Catastrophic disturbance and the steady state in northern hardwood forests , 1979 .

[161]  Monica G. Turner,et al.  Scale detection in real and artificial landscapes using semivariance analysis , 1998, Landscape Ecology.

[162]  G. Jacquez,et al.  Diversity of some gene frequencies in European and Asian populations. V. Steep multilocus clines. , 1990, American journal of human genetics.

[163]  J. M. Cornelius,et al.  On Determining the Statistical Significance of Discontinuities with Ordered Ecological Data , 1991 .

[164]  K. Weathers,et al.  A Framework for a Theory of Ecological Boundaries , 2003 .

[165]  Richard Webster,et al.  Automatic soil-boundary location from transect data , 1973 .

[166]  Peter M. Atkinson,et al.  Geographical information science: GeoComputation and nonstationarity , 2001 .

[167]  Jessica Gurevitch,et al.  Ecography 25: 601 -- 615, 2002 , 2022 .

[168]  Paul J. Curran,et al.  Remote sensing: Using the spatial domain , 2001, Environmental and Ecological Statistics.

[169]  Robert V. O'Neill,et al.  Patternandscale: statistics for landscape ecology , 1991 .

[170]  P. Legendre,et al.  Partialling out the spatial component of ecological variation: questions and propositions in the linear modelling framework , 1998, Environmental and Ecological Statistics.