Preface |
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xi | |
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1 Spatial concepts and notions |
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1 | (31) |
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1 | (2) |
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3 | (1) |
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4 | (1) |
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1.3 Spatial structure: spatial dependence and spatial autocorrelation |
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4 | (5) |
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9 | (2) |
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11 | (5) |
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1.5.1 The sample size (the number of observations 'n') |
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11 | (1) |
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11 | (1) |
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1.5.3 The size of the study area: extent |
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12 | (2) |
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1.5.4 The location in the landscape |
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14 | (1) |
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1.5.5 The size of the sampling or observational units: grain |
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14 | (1) |
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1.5.6 The shape of the sampling or observational units |
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14 | (1) |
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1.5.7 The spatial sampling design |
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14 | (1) |
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15 | (1) |
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16 | (1) |
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16 | (5) |
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21 | (1) |
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1.7.1 First-order statistics |
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21 | (1) |
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1.7.2 Second-order statistics |
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21 | (1) |
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1.8 Ecological hypotheses and spatial analysis |
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22 | (3) |
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1.9 Randomization tests for spatially structured ecological data |
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25 | (5) |
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1.9.1 Restricted randomizations |
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27 | (3) |
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1.10 In conclusion: what is space? |
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30 | (2) |
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2 Ecological and spatial processes |
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32 | (14) |
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32 | (1) |
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2.1 Ecological processes and spatial structure |
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32 | (8) |
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2.2 Spatial processes by species level of organization |
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40 | (3) |
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43 | (3) |
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3 Points, lines and graphs |
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46 | (42) |
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46 | (4) |
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3.1 Points: spatial patterns of point events |
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50 | (11) |
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3.1.1 Topological neighbours |
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50 | (5) |
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3.1.2 Distance-based spatial neighbours |
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55 | (4) |
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3.1.3 Directional angle-based spatial neighbours |
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59 | (2) |
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3.2 Lines: fibre pattern analysis |
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61 | (6) |
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3.2.1 Aggregation and overdispersion of fibres |
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62 | (3) |
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3.2.2 Fibres with properties |
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65 | (1) |
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65 | (1) |
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3.2.4 Branching curved fibres |
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66 | (1) |
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3.2.5 Congruence and parallelism of curved fibres |
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67 | (1) |
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3.3 Points and lines together |
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67 | (2) |
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3.4 Points and lines: spatial graphs |
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69 | (3) |
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3.4.1 Signed and directed graphs and networks |
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70 | (1) |
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3.4.2 How to create subgraphs |
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71 | (1) |
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72 | (1) |
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3.5 Network analysis of areal units |
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72 | (5) |
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3.6 Spatial analysis of movement |
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77 | (3) |
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3.6.1 Transport and gravity models |
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77 | (1) |
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77 | (2) |
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79 | (1) |
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3.6.4 Spatial graphs and movement |
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79 | (1) |
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79 | (1) |
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3.7 Testing hypotheses with graphs |
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80 | (4) |
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3.7.1 Comment on spatial graph randomization |
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83 | (1) |
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84 | (4) |
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Glossary: graph definitions and properties |
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84 | (4) |
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4 Spatial analysis of complete point location data |
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88 | (35) |
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88 | (1) |
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4.1 Mapped point data in two dimensions |
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88 | (17) |
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4.1.0 Introduction: three pattern types |
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88 | (1) |
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4.1.1 Distance to neighbours methods |
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89 | (1) |
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4.1.2 Refined nearest neighbour analysis |
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90 | (1) |
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4.1.3 Second-order point pattern analysis |
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91 | (5) |
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96 | (2) |
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4.1.5 Multivariate point pattern analysis data |
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98 | (7) |
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4.2 Mark correlation function |
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105 | (1) |
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4.3 Ripley's iT-function for inhomogeneous point pattern analysis |
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106 | (5) |
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4.3.1 Bivariate and multivariate non-stationary point patterns |
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109 | (1) |
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4.3.2 Quantitative marks: mark correlation |
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110 | (1) |
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4.4 Point patterns in other dimensions |
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111 | (5) |
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111 | (1) |
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112 | (3) |
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115 | (1) |
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116 | (3) |
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4.5.1 Univariate analysis |
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116 | (1) |
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117 | (2) |
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4.5.3 Multivariate analysis |
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119 | (1) |
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119 | (4) |
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5 Contiguous units analysis |
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123 | (17) |
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123 | (1) |
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5.1 Quadrat variance methods |
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123 | (3) |
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5.2 Significance tests for quadrat variance methods |
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126 | (1) |
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5.3 Adaptations for two or more species |
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127 | (2) |
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5.4 Two or more dimensions |
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129 | (4) |
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5.5 Spectral analysis and related techniques |
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133 | (1) |
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134 | (1) |
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135 | (5) |
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6 Spatial analysis of sample data |
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140 | (42) |
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140 | (1) |
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6.1 Join count statistics |
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141 | (3) |
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6.1.1 Join count statistics for k-categories |
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142 | (2) |
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6.2 Global spatial statistics |
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144 | (15) |
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144 | (1) |
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6.2.2 Spatial autocorrelation coefficients for one variable |
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145 | (7) |
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152 | (6) |
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158 | (1) |
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6.3 Sampling design effects on the estimation of spatial pattern |
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159 | (4) |
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6.4 Spatial relationship between two variables |
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163 | (1) |
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6.5 Local spatial statistics |
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164 | (4) |
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6.6 Spatial scan statistics |
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168 | (2) |
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6.7 Interpolation and spatial models |
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170 | (8) |
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171 | (1) |
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6.7.2 Trend surface analysis |
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172 | (1) |
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6.7.3 Inverse distance weighting |
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172 | (1) |
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173 | (5) |
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178 | (4) |
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7 Spatial relationship and multiscale analysis |
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182 | (24) |
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182 | (1) |
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7.1 Correlation between spatially autocorrelated variables |
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182 | (1) |
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7.2 Correlation of distance matrices |
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183 | (9) |
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183 | (6) |
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7.2.2 Partial Mantel tests and multiple-matrix regression |
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189 | (3) |
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7.3 Canonical (constrained) ordination |
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192 | (2) |
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194 | (9) |
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7.4.1 Generalized Moran's eigenvector maps |
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195 | (3) |
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7.4.2 Multiresolution spectral decomposition analysis based on wavelets |
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198 | (5) |
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203 | (3) |
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8 Spatial autocorrelation and inferential tests |
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206 | (38) |
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206 | (1) |
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8.1 Models dealing with one-dimensional autocorrelated data |
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207 | (6) |
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8.2 Dealing with spatial autocorrelation in inferential models |
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213 | (11) |
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213 | (1) |
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8.2.2 Adjusting the effective sample size |
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214 | (4) |
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8.2.3 More on induced autocorrelation and the relationships between variables |
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218 | (2) |
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8.2.4 Correlation and related methods |
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220 | (4) |
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8.3 Randomization procedures |
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224 | (3) |
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8.3.1 Restricted randomization and bootstrap |
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224 | (2) |
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8.3.2 Markov Chain Monte Carlo |
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226 | (1) |
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227 | (12) |
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8.4.1 Spatial filtering using autoregressive models |
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230 | (2) |
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8.4.2 Spatial filtering using moving average models |
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232 | (1) |
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8.4.3 Spatial filtering using Moran's eigenvector maps |
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233 | (1) |
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8.4.4 Spatial error regression |
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233 | (1) |
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8.4.5 Geographically weighted regression |
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234 | (1) |
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8.4.6 Remove spatial autocorrelation from the residuals |
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234 | (2) |
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8.4.7 Example of the use of non-spatial and spatial regressions |
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236 | (3) |
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8.5 Considerations for sampling and experimental design |
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239 | (2) |
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239 | (2) |
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8.5.2 Experimental design |
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241 | (1) |
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241 | (3) |
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9 Spatial partitioning: spatial clusters and boundary detection |
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244 | (34) |
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244 | (1) |
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244 | (7) |
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244 | (1) |
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245 | (4) |
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9.1.3 Fuzzy classification |
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249 | (2) |
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251 | (19) |
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9.2.1 Ecological boundaries |
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251 | (1) |
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9.2.2 Boundary properties |
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251 | (2) |
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9.2.3 Boundary detection and analysis for one-dimensional transect data |
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253 | (9) |
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9.2.4 Boundary detection based on two-dimensional data |
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262 | (8) |
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270 | (1) |
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9.4 Boundary overlap statistics |
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271 | (2) |
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9.5 Hierarchical spatial partitioning |
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273 | (2) |
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9.5.1 Edge enhancement with kernel filters |
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274 | (1) |
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275 | (3) |
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10 Spatial diversity analysis |
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278 | (41) |
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278 | (1) |
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10.1 Space in diversity analysis |
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278 | (5) |
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10.1.1 Spatial heterogeneity |
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279 | (1) |
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10.1.2 Spatial location and environmental gradients |
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280 | (1) |
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280 | (1) |
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10.1.4 Propinquity and spatial dependence |
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281 | (2) |
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10.2 First-order diversity |
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283 | (12) |
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284 | (3) |
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287 | (6) |
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293 | (1) |
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10.2.4 Why space in first-order diversity analysis? |
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293 | (2) |
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10.3 Species combinations and composition: agreement and complementarity |
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295 | (16) |
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10.3.1 Species combinations |
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296 | (6) |
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10.3.2 Comments on species compositional diversity |
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302 | (1) |
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10.3.3 Nested subsets, constraining compositional diversity |
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303 | (8) |
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10.4 Multiple classifications |
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311 | (3) |
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10.5 Spatial diversity: putting it all together with spatial graphs |
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314 | (1) |
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10.6 Temporal aspects of spatial diversity |
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315 | (2) |
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317 | (2) |
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11 Spatio-temporal analysis |
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319 | (42) |
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319 | (4) |
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11.1 Change in spatial statistics |
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323 | (1) |
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11.2 Spatio-temporal join count |
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324 | (1) |
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11.3 Spatio-temporal analysis of clusters and contagion |
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325 | (4) |
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11.4 Spatio-temporal scan statistics |
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329 | (1) |
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11.5 Polygon change analysis |
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329 | (4) |
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11.6 Analysis of movement |
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333 | (8) |
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341 | (9) |
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11.7.1 Tree regeneration, growth and mortality |
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341 | (1) |
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342 | (1) |
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11.7.3 Population synchrony |
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343 | (3) |
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11.7.4 Spatio-temporal chaos |
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346 | (4) |
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11.8 Spatio-temporal graphs |
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350 | (10) |
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11.8.1 Characteristics and classification |
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351 | (2) |
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11.8.2 Animal movement with spatio-temporal graphs |
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353 | (2) |
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11.8.3 Other applications |
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355 | (4) |
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11.8.4 Final comment on spatio-temporal graphs |
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359 | (1) |
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360 | (1) |
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360 | (1) |
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12 Closing comments and future directions |
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361 | (37) |
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Introduction: myths, misunderstandings and challenges |
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361 | (6) |
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367 | (1) |
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12.2 Numerical solutions: software programs and programming |
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368 | (2) |
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12.3 Statistical and ecological tests |
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370 | (1) |
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12.4 Complementarity of current methods |
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371 | (2) |
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12.5 Analyses in both space and time |
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373 | (15) |
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12.5.1 Analysis of permanent sample plot data |
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373 | (6) |
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12.5.2 Spatially linked time series |
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379 | (3) |
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12.5.3 Spatial analysis of animal-vegetation according to data types |
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382 | (6) |
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388 | (8) |
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12.6.1 Ongoing development |
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388 | (1) |
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12.6.2 The hierarchical Bayesian approach |
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389 | (6) |
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12.6.3 Hypothesis testing with spatio-temporal graphs |
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395 | (1) |
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12.7 Other future directions |
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396 | (2) |
References |
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398 | (27) |
Index |
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425 | |