Two studies focused on the individual-based foundations of foraging and growth:
By virtue of its individual-based foundation, adaptive dynamics theory has become particularly widely used in studies interfacing ecological, evolutionary, and environmental changes:
Figure 1. Evolutionary diversification on a two-dimensional fitness landscape (grey surface) is possible only when, for average mutants around the current trait combination (black circle), disruptive selection Dxx is sufficiently stronger than directional selection Gy (click on image to enlarge).
References
[1] Sjödin H, Brännström Å & Englund G (2015). Space race functional responses. Proceedings of the Royal Society London Series B 282:20142121.
[2] Boukal DS, Dieckmann U, Enberg K, Heino M & Jørgensen C (2014). Life-history implications of the allometric scaling of growth. Journal of Theoretical Biology 359:199–207.
[3] Metz JAJ & Geritz SAH. Frequency dependence 3.0: Picking up on Heino, Metz & Kaitala (1998), in revision.
[4] Gupta A, Metz JAJ & Tran VC (2014). A new proof for the convergence of an individual based model to the trait substitution sequence. Acta Applicanda Mathematicae 121:1–27.
[5] Metz JAJ, Stanková K & Johansson J. The adaptive dynamics of life histories: From fitness-returns to selection gradients and Pontryagin’s maximum principle. Journal of Mathematical Biology, in revision.
[6] Geritz SAH, Metz JAJ & Rueffler C. Mutual invadability near evolutionarily singular strategies for multivariate traits, with special reference to the strongly convergence stable case, in revision.
[7] Ito HC & Dieckmann U (2014). Evolutionary branching under slow directional evolution. Journal of Theoretical Biology 360:290–314.
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