Multiscale Structure in Eco-Evolutionary Dynamics by Blake Stacey in 2015
this is the PhD thesis of Blake Stacey. it is tagged as a papers because it is in the mendeley papers library as opposed to the book even though, as a thesis, it really is better classified as a book
1. Abstract
2. Multiscale structure
3. Host-consumer evolution by simulation
4. A volunteer’s dilemma
5. Techniques of probability
5.5 Moments and cumulants
5.6 Generating functions
5.7 Central limit theorem
5.8 Variations on diffusion
6. Stochastic adaptive dynamics
6.1 Justifying the Fokker-Planck equation
6.2 The deterministic limit
6.3 A Fokker-Planck equation for adaptive dynamics
6.4 Concurrent mutations, discreteness and multi-strategy games
6.5 Interspecies interactions
7.2 Isotropic percolation
7.4 Examples
7.5 Coherent-state path integrals
7.6 Spatial dependence
7.7 Rate equations from tree-level calculations
7.8 Directed percolation
7.9 Prior relevant results and difficulties
7.10 Carrying capacity
7.11 A common denominator
8. Invasion fitness by moment closure approximations
9. The varieties of multilevel selection
10. Speculations for new mathematics
11. Conclusions