Hila Sheftel, Oren Shoval, Avi Mayo and Uri Alon The geometry of the Pareto front in biological phenotype space Ecology and Evolution 3
We studied the effect of trade-offs between tasks on the suite of variation of phenotypes. We find that, for a wide range of performance function shapes, Pareto optimal phenotypes lie in morphospace on low-dimensional polygons with mildly curved edges, whose vertices are phenotypes specialized for a single task, known as archetypes. We also present bounds on the Pareto front for general, non-monotonic performance functions, showing that the suite of variation is restricted to a region spanning the archetypes.
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