Spatial Analysis of Ecological Data

The present chapter deals with methods developed for the analysis of scale-dependent structures of ecological data. These methods are based on sets of variables describing spatial structures derived from the coordinates of the sites or from the neighbourhood relationships among sites. These variables are used to model the spatial structures of ecological data by means of multiple regression or canonical ordination, and to identify significant spatial structures at all spatial scales that can be perceived by the sampling design. Practically, you will learn how to compute spatial correlation measures and draw spatial correlograms; learn how to construct spatial descriptors derived from site coordinates and from links between sites; identify, test and interpret scale-dependent spatial structures; combine spatial analysis and variation partitioning; and assess spatial structures in canonical ordinations by computing variograms of explained and residual ordination scores.

[1]  P. Legendre,et al.  Scale dependency of processes structuring metacommunities of cladocerans in temporary pools of High-Andes wetlands , 2011 .

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

[3]  Michael Edward Hohn,et al.  An Introduction to Applied Geostatistics: by Edward H. Isaaks and R. Mohan Srivastava, 1989, Oxford University Press, New York, 561 p., ISBN 0-19-505012-6, ISBN 0-19-505013-4 (paperback), $55.00 cloth, $35.00 paper (US) , 1991 .

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

[5]  Martin Bilodeau,et al.  Multiscale codependence analysis: an integrated approach to analyze relationships across scales. , 2010, Ecology.

[6]  T. Eo.  Partialling out the spatial component of ecological variation: questions and propositions in the linear modelling framework , 1998 .

[7]  J. Wiens.  Spatial Scaling in Ecology , 1989 .

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

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

[10]  Helene H. Wagner,et al.  DIRECT MULTI‐SCALE ORDINATION WITH CANONICAL CORRESPONDENCE ANALYSIS , 2004 .

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

[12]  Edzer Pebesma,et al.  Applied Spatial Data Analysis with R. Springer , 2008 .

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

[14]  S. Arnott,et al.  Does dispersal limitation impact the recovery of zooplankton communities damaged by a regional stressor? , 2011, Ecological applications : a publication of the Ecological Society of America.

[15]  P. Legendre,et al.  The role of environmental and spatial processes in structuring native and non‐native fish communities across thousands of lakes , 2011 .

[16]  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.

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

[18]  S. Holm.  A Simple Sequentially Rejective Multiple Test Procedure , 1979 .

[19]  P. Legendre,et al.  Modelling directional spatial processes in ecological data , 2008 .

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

[21]  P. Legendre,et al.  Community surveys through space and time: testing the space-time interaction in the absence of replication. , 2010, Ecology.

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

[23]  P. Legendre.  Quantitative Methods and Biogeographic Analysis , 1990 .

[24]  S. P. Wright,et al.  Adjusted P-values for simultaneous inference , 1992 .

[25]  Pierre Legendre,et al.  Estimating and controlling for spatial structure in the study of ecological communities , 2010 .

[26]  P. Legendre,et al.  Forward selection of explanatory variables. , 2008, Ecology.

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

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

[29]  Pierre Legendre,et al.  Modelling the effect of directional spatial ecological processes at different scales , 2011, Oecologia.

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

[31]  Z. Šidák.  Rectangular Confidence Regions for the Means of Multivariate Normal Distributions , 1967 .

[32]  Stéphane Dray,et al.  Spatial modelling: a comprehensive framework for principal coordinate analysis of neighbour matrices (PCNM) , 2006 .

[33]  Pierre Legendre,et al.  Is the Mantel correlogram powerful enough to be useful in ecological analysis? A simulation study. , 2012, Ecology.