| List of Figures and Tables | p. xi |
| Acknowledgments | p. xv |
| Complexity in Ecological Systems | p. 1 |
| The Newtonian Paradigm in Physics | p. 2 |
| Dynamics and Thermodynamics | p. 6 |
| Emergent Properties | p. 10 |
| Ecosystems as Complex Adaptive Systems | p. 13 |
| Nonlinear Dynamics | p. 17 |
| The Balance of Nature? | p. 17 |
| Population Cycles | p. 19 |
| Catastrophes and Breakpoints | p. 27 |
| Deterministic Chaos | p. 31 |
| Evidence of Bifurcations in Nature | p. 34 |
| Unpredictability and Forecasting | p. 42 |
| The Ecology of Universality | p. 48 |
| Evidence of Chaos in Nature | p. 50 |
| Criticisms of Chaos | p. 58 |
| Complex Dynamics: The Interplay between Noise and Nonlinearities | p. 61 |
| Spatial Self-Organization: From Pattern to Process | p. 65 |
| Space: The Missing Ingredient | p. 65 |
| Turing Instabilities | p. 68 |
| Coupled Map Lattice Models | p. 84 |
| Looking for Self-Organizing Spatial Patterns in Nature | p. 95 |
| Dispersal and Complex Dynamics | p. 98 |
| Spatial Synchrony in Population Cycles | p. 108 |
| When Is Space Relevant? A Trade-Off between Simplicity and Realism | p. 117 |
| Coevolution and Diffusion in Phenotype Space | p. 123 |
| Scaling and Fractals in Ecology | p. 127 |
| Scaling and Fractals | p. 127 |
| Fractal Time Series | p. 137 |
| Percolation | p. 139 |
| Nonequilibrium Phase Transitions | p. 144 |
| The Branching Process | p. 146 |
| The Contact Process: Complexity Made Simple | p. 149 |
| Random Walks and Levy Flights in Population Dynamics | p. 151 |
| Percolation and Scaling in Random Graphs | p. 156 |
| Ecological Multifractals | p. 162 |
| Self-Organized Critical Phenomena | p. 165 |
| Complexity from Simplicity | p. 168 |
| Habitat Loss and Extinction Thresholds | p. 171 |
| Habitat Loss and Fragmentation | p. 171 |
| Extinction Thresholds in Metapopulation Models | p. 173 |
| Extinction Thresholds in Metacommunity Models | p. 178 |
| Food Web Structure and Habitat Loss | p. 186 |
| Percolation in Spatially Explicit Landscapes | p. 191 |
| Extinction Thresholds in Spatially Explicit Models | p. 195 |
| Analytical Models of Correlated Landscapes | p. 199 |
| More Realistic Models of Extinction Thresholds | p. 206 |
| Complex Ecosystems: From Species to Networks | p. 215 |
| Stability and Complexity | p. 215 |
| N-Species Lotka-Volterra Models | p. 218 |
| Topological and Dynamic Constraints | p. 223 |
| Indirect Effects | p. 226 |
| Keystone Species and Evolutionary Dynamics | p. 231 |
| Complexity and Fragility in Food Webs | p. 237 |
| Community Assembly: The Importance of History | p. 251 |
| Scaling in Ecosystems: A Stochastic Quasi-Neutral Model | p. 254 |
| Complexity in Macroevolution | p. 263 |
| Extinction and Diversification | p. 263 |
| Internal and External Factors | p. 264 |
| Scaling in the Fossil Record | p. 270 |
| Competition and the Fossil Record | p. 276 |
| Red Queen Dynamics | p. 279 |
| Evolution on Fitness Landscapes | p. 282 |
| Extinctions and Coherent Noise | p. 292 |
| Network Models of Macroevolution | p. 295 |
| Ecology as It Would Be: Artificial Life | p. 304 |
| Recovery after Mass Extinction | p. 308 |
| Implications for Current Ecologies | p. 313 |
| Lyapunov Exponents for ID Maps | p. 317 |
| Renormalization Group Analysis | p. 319 |
| Stochastic Multispecies Model | p. 321 |
| References | p. 325 |
| Index | p. 359 |
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