Table of Contents:
  • Organisms, tissues and molecules often need to perform multiple tasks
  • Usually no phenotype can be optimal at all tasks at once which leads to a fundamental tradeoff
  • We study this using the concept of Pareto optimality from engineering and economics
  • Tradeoffs lead to an unexpected simplicity in the range of optimal phenotypes; they fall on low dimensional shapes in trait space such as lines, triangles and tetrahedrons
  • At the vertices of these polygons are phenotypes that specialize at a single task
  • We demonstrate this using data from animal and fossil morphology, bacterial gene expression and other biological systems.