1 Approaches to ecological modelling |
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1 | (9) |
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1.1 Forward and inverse approaches |
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2 | (1) |
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1.2 The interplay between models and data |
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3 | (3) |
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1.3 The many choices with mathematical and statistical models and methods |
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6 | (2) |
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1.4 What a biologist should learn about modelling |
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8 | (2) |
2 Movement ecology |
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10 | (58) |
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2.1 Why, where, when, and how do individual organisms move |
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10 | (7) |
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2.1.1 Internal state: why to move |
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11 | (1) |
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2.1.2 Motion capacity: how to move |
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12 | (1) |
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2.1.3 Navigation capacity: when and where to move |
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13 | (1) |
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2.1.4 Different types of movement |
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13 | (1) |
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2.1.5 Approaches to movement research |
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14 | (1) |
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2.1.6 Outline of this chapter |
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15 | (2) |
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2.2 Movement models in homogeneous environments |
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17 | (10) |
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2.2.1 The Lagrangian approach |
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18 | (2) |
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2.2.2 Translating the Lagrangian model into an Eulerian model |
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20 | (1) |
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21 | (2) |
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2.2.4 Adding directional persistence: correlated random walk models |
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23 | (2) |
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2.2.5 Adding directional bias: home-range models |
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25 | (2) |
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2.3 Movement models in heterogeneous environments |
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27 | (16) |
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2.3.1 Random walk simulations in heterogeneous space |
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27 | (2) |
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2.3.2 Diffusion models with continuous spatial variation in movement parameters |
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29 | (5) |
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2.3.3 Diffusion models with discrete spatial variation in movement parameters |
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34 | (1) |
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2.3.4 Using movement models to define and predict functional connectivity |
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35 | (5) |
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2.3.5 The influence of a movement corridor |
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40 | (3) |
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2.4 Movements in a highly fragmented landscape |
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43 | (7) |
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2.4.1 The case of a single habitat patch |
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44 | (3) |
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2.4.2 The case of a patch network |
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47 | (3) |
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2.5 Statistical approaches to analysing movement data |
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50 | (13) |
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2.5.1 Exploratory data analysis of GPS data |
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51 | (9) |
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2.5.2 Fitting a diffusion model to capture-mark-recapture data |
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60 | (3) |
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63 | (5) |
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2.6.1 Limitations and extensions of random walk and diffusion models |
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64 | (2) |
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2.6.2 The many approaches of analysing movement data |
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66 | (2) |
3 Population ecology |
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68 | (54) |
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3.1 Scaling up from the individual level to population dynamics |
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68 | (5) |
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3.1.1 Factors influencing population growth through birth and death rates |
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69 | (1) |
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3.1.2 How movements influence population dynamics |
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70 | (1) |
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3.1.3 How population structure influences population dynamics |
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71 | (1) |
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3.1.4 The outline of this chapter |
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72 | (1) |
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3.2 Population models in homogeneous environments |
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73 | (10) |
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3.2.1 Individual-based stochastic and spatial model |
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76 | (1) |
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3.2.2 Simplifying the model: stochasticity without space |
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77 | (3) |
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3.2.3 Simplifying the model further: without stochasticity and space |
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80 | (1) |
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3.2.4 Another way of simplifying the model: space without stochasticity |
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81 | (2) |
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3.3 Population models in heterogeneous environments |
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83 | (14) |
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3.3.1 Environmental stochasticity |
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84 | (2) |
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3.3.2 Spatial heterogeneity in continuous space: the plant population model |
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86 | (3) |
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3.3.3 Spatial heterogeneity in discrete space: the butterfly metapopulation model |
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89 | (4) |
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3.3.4 The Levins metapopulation model and its spatially realistic versions |
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93 | (4) |
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3.4 The persistence of populations under habitat loss and fragmentation |
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97 | (5) |
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3.4.1 Habitat loss and fragmentation in the plant population model |
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98 | (2) |
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3.4.2 Habitat loss and fragmentation in the butterfly metapopulation model |
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100 | (1) |
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3.4.3 Habitat loss and fragmentation in the Levins metapopulation model |
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100 | (2) |
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3.5 Statistical approaches to analysing population ecological data |
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102 | (15) |
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3.5.1 Time-series analyses of population abundance |
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102 | (3) |
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3.5.2 Fitting Bayesian state-space models to time-series data |
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105 | (7) |
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3.5.3 Species distribution models |
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112 | (3) |
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3.5.4 Metapopulation models |
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115 | (2) |
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117 | (5) |
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3.6.1 The invisible choices made during a modelling process |
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118 | (1) |
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3.6.2 Some key insights derived from population models |
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119 | (1) |
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3.6.3 The many approaches to analysing population data |
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120 | (2) |
4 Community ecology |
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122 | (46) |
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4.1 Community assembly shaped by environmental filtering and biotic interactions |
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122 | (7) |
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4.1.1 Ecological interactions |
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124 | (1) |
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4.1.2 Fundamental and realized niches and environmental filtering |
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125 | (1) |
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4.1.3 Organizational frameworks for metacommunity ecology |
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126 | (1) |
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4.1.4 The outline of this chapter |
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127 | (2) |
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4.2 Community models in homogeneous environments |
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129 | (11) |
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4.2.1 Competitive interactions |
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129 | (6) |
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4.2.2 Resource-consumer interactions |
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135 | (3) |
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4.2.3 Predator-prey interactions |
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138 | (2) |
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4.3 Community models in heterogeneous environments |
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140 | (5) |
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4.3.1 The case of two competing species |
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141 | (1) |
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4.3.2 The case of many competing species |
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142 | (3) |
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4.4 The response of communities to habitat loss and fragmentation |
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145 | (5) |
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4.4.1 Endemics-area and species-area relationships generated by the plant community model |
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145 | (5) |
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4.5 Statistical approaches to analysing species communities |
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150 | (14) |
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4.5.1 Time-series analyses of population size in species communities |
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150 | (5) |
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4.5.2 Joint species distribution models |
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155 | (6) |
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161 | (1) |
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4.5.4 Point-pattern analyses of distribution of individuals |
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162 | (2) |
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164 | (4) |
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4.6.1 Back to the metacommunity paradigms |
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164 | (1) |
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4.6.2 Some insights derived from community models |
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165 | (2) |
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4.6.3 The many approaches to modelling community data |
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167 | (1) |
5 Genetics and evolutionary ecology |
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168 | (47) |
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5.1 Inheritance mechanisms and evolutionary processes |
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168 | (7) |
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5.1.1 Genetic building blocks and heritability |
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168 | (2) |
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5.1.2 Selection, drift, mutation, and gene flow |
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170 | (2) |
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5.1.3 Connections between ecological and evolutionary dynamics |
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172 | (1) |
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5.1.4 The outline of this chapter |
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173 | (2) |
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5.2 The evolution of quantitative traits under neutrality |
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175 | (9) |
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5.2.1 An additive model for the map from genotype to phenotype |
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175 | (2) |
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5.2.2 Coancestry and the additive genetic relationship matrix |
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177 | (2) |
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5.2.3 Why related individuals resemble each other? |
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179 | (1) |
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180 | (1) |
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5.2.5 Why related populations resemble each other? |
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181 | (3) |
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5.3 The evolution of quantitative traits under selection |
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184 | (10) |
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5.3.1 Evolution by drift, selection, mutation, recombination, and gene flow |
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185 | (1) |
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5.3.2 Selection differential and the breeder's equation |
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186 | (4) |
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5.3.3 Population divergence due to drift and selection |
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190 | (4) |
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5.4 Evolutionary dynamics under habitat loss and fragmentation |
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194 | (7) |
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5.4.1 Evolution of dispersal in the Hamilton-May model under adaptive dynamics |
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194 | (4) |
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5.4.2 Evolution of dispersal in the plant population model under quantitative genetics |
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198 | (3) |
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5.5 Statistical approaches to genetics and evolutionary ecology |
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201 | (8) |
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5.5.1 Inferring population structure from neutral markers |
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201 | (2) |
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5.5.2 Estimating additive genetic variance and heritability |
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203 | (1) |
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5.5.3 Using association analysis to detect loci behind quantitative traits |
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204 | (2) |
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5.5.4 Detecting loci under selection from genotypic data |
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206 | (1) |
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5.5.5 Detecting traits under selection from genotypic and phenotypic data |
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207 | (2) |
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209 | (6) |
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5.6.1 Mathematical approaches to modelling genetics and evolution |
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209 | (2) |
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5.6.2 Some insights derived from evolutionary models on dispersal evolution |
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211 | (1) |
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5.6.3 The many uses of genetic data |
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212 | (3) |
Appendix A: Mathematical methods |
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215 | (18) |
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A.1 A very brief tutorial to linear algebra |
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215 | (2) |
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A.2 A very brief tutorial to calculus |
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217 | (5) |
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A.2.1 Derivatives, integrals, and convolutions |
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217 | (1) |
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A.2.2 Differential equations |
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218 | (2) |
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A.2.3 Systems of differential equations |
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220 | (1) |
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A.2.4 Partial differential equations |
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221 | (1) |
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A.2.5 Difference equations |
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222 | (1) |
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A.3 A very brief tutorial to random variables |
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222 | (7) |
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A.3.1 Discrete valued random variables |
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222 | (1) |
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A.3.2 Continuous valued random variables |
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223 | (2) |
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A.3.3 Joint distribution of two or more random variables |
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225 | (1) |
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A.3.4 Sums of random variables |
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226 | (2) |
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A.3.5 An application of random variables to quantitative genetics |
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228 | (1) |
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A.4 A very brief tutorial to stochastic processes |
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229 | (4) |
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229 | (2) |
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231 | (2) |
Appendix B: Statistical methods |
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233 | (20) |
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B.1 Generalized linear mixed models |
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233 | (12) |
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233 | (1) |
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B.1.2 Link functions and error distributions |
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234 | (2) |
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B.1.3 Relaxing the assumption of independent residuals |
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236 | (2) |
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238 | (3) |
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B.1.5 Multivariate models |
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241 | (3) |
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B.1.6 Hierarchical models |
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244 | (1) |
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B.2 Model fitting with Bayesian inference |
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245 | (8) |
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B.2.1 The concepts of likelihood, maximum likelihood, and parameter uncertainty |
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246 | (1) |
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B.2.2 Prior and posterior distributions, and the Bayes theorem |
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246 | (3) |
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B.2.3 Methods for sampling the posterior distribution |
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249 | (4) |
References |
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253 | (24) |
Index |
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277 | |