Preface |
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ix | |
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1 Ecological Processes and Network Systems |
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1 | (17) |
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1 | (1) |
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1.2 Network Analysis in Ecology |
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1 | (9) |
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1.3 Classification of Network Questions |
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10 | (3) |
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1.3.1 Criterion 1: Structure-and-Function |
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10 | (1) |
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1.3.2 Criterion 2: Interactions |
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11 | (1) |
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1.3.3 Criterion 3: Dimensions of Space and Time |
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11 | (2) |
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1.3.4 Criterion 4: Multilayer |
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13 | (1) |
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1.4 Concluding Comments: Questions and Answers |
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13 | (5) |
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2 Structural Properties of Networks |
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18 | (51) |
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18 | (1) |
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2.2 Properties of Nodes and Edges |
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19 | (11) |
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2.2.1 Degree and Degree Distribution |
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19 | (3) |
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22 | (1) |
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23 | (1) |
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24 | (1) |
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2.2.5 Partitions and Clusters |
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24 | (2) |
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26 | (1) |
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2.2.7 Subgraphs, Motifs, and Graphlets |
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27 | (3) |
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2.3 Methods of Network Analysis |
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30 | (20) |
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30 | (1) |
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2.3.2 Spectral Graph Theory |
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31 | (5) |
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2.3.2.1 Spectral Graph Theory and Ecological Applications |
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36 | (1) |
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2.3.2.2 Spectral Graph Theory: Why Does It Work? |
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37 | (1) |
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2.3.3 Analysis of Signed Networks |
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38 | (5) |
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2.3.4 Information and Entropy |
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43 | (3) |
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2.3.4.1 Graphlet Information Measures |
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46 | (1) |
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2.3.4.2 Search Information and Related Entropies |
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47 | (2) |
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2.3.4.3 Information Theory and Ecological Applications |
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49 | (1) |
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50 | (9) |
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50 | (3) |
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53 | (2) |
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55 | (1) |
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55 | (3) |
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2.4.5 Interdependence and Choice of Properties and Measures |
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58 | (1) |
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59 | (8) |
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2.5.1 Probability Calculations |
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59 | (1) |
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60 | (1) |
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2.5.3 Kernel Function Methods |
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61 | (1) |
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2.5.3.1 "Kernel" versus "Kernel" |
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61 | (4) |
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65 | (1) |
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66 | (1) |
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67 | (2) |
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3 Quantitative Analysis of Dynamic Networks |
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69 | (52) |
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69 | (3) |
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72 | (7) |
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72 | (5) |
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77 | (1) |
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78 | (1) |
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78 | (1) |
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3.2.3.2 Significance and Randomisation |
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79 | (1) |
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3.3 Statistical Considerations |
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79 | (5) |
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3.3.1 Statistics and Ecological Networks |
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79 | (1) |
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3.3.2 Correlation Networks |
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80 | (3) |
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3.3.3 Methodological Comment |
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83 | (1) |
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3.4 Structure and Function in Dynamic Networks |
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84 | (21) |
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3.4.1 Dynamic Networks: Concepts and Attributes |
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84 | (1) |
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3.4.2 Stability, Resilience, Robustness, and so on |
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84 | (4) |
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3.4.3 Relating Structure and Function Using Graphlets |
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88 | (1) |
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3.4.3.1 Basic Graphlets (No Directions or Signs on Edges) |
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89 | (4) |
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3.4.3.2 Directed Graphlets |
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93 | (2) |
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95 | (2) |
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3.4.3.4 Other Extensions of Graphlet Analysis |
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97 | (4) |
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3.4.3.5 Comment on Network Sampling and Graphlets |
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101 | (1) |
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3.4.4 Analysis of Network Flow |
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101 | (4) |
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105 | (14) |
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119 | (2) |
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4 Multilayer, -type, and -level Networks |
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121 | (43) |
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121 | (2) |
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123 | (14) |
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4.2.1 Node Degrees in Multilayer Networks |
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128 | (1) |
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128 | (1) |
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4.2.3 Centrality and Node Ranking |
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129 | (2) |
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4.2.3.1 Eigenvector Versatility |
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131 | (1) |
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4.2.4 Clusters and Clustering |
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132 | (2) |
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4.2.5 Spectral Properties |
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134 | (1) |
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4.2.6 Resilience, Robustness, and Fragility |
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135 | (2) |
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4.2.7 Comments on Multilayer Networks |
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137 | (1) |
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137 | (1) |
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138 | (7) |
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140 | (5) |
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4.5 Multiple Interactions and Multiorder Interactions |
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145 | (10) |
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146 | (2) |
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4.5.2 Multistem Structures |
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148 | (7) |
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155 | (2) |
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157 | (1) |
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4.8 Generalising Motifs (Multinode Motifs) and Graphlets |
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158 | (4) |
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162 | (2) |
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5 Tying It All Together: Summary and Synthesis |
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164 | (12) |
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164 | (4) |
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5.1.1 Structure and Function |
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164 | (1) |
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5.1.2 Ecological Interactions |
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165 | (2) |
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167 | (1) |
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167 | (1) |
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5.2 Networks: Construction and Reconstruction |
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168 | (1) |
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5.3 Network Complexity and Inference |
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169 | (1) |
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5.4 Dynamics on and of Ecological Networks |
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169 | (1) |
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5.5 A Conceptual Atlas of Network Concepts, Structures, and Methods |
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170 | (4) |
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5.5.1 It All Ties Together |
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170 | (4) |
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174 | (2) |
Glossary |
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176 | (25) |
References |
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201 | (18) |
Index |
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219 | |