The geometry of the Pareto front in biological phenotype space
Article first published online: 17 APR 2013
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Ecology and Evolution
Volume 3, Issue 6, pages 1471–1483, June 2013
How to Cite
Ecology and Evolution 2013; 3(6): 1471–1483
- Issue published online: 12 JUN 2013
- Article first published online: 17 APR 2013
- Manuscript Accepted: 14 FEB 2013
- Manuscript Revised: 10 FEB 2013
- Manuscript Received: 21 JAN 2013
- European Union's Seventh Framework Programme. Grant Numbers: FP7/2007-2013, 249919
- Human Frontiers Science Program
- Israel Science Foundation. Grant Number: ISF 675/09
- 1983. Morphology, performance and fitness. Am. Zool. 23:347–361.
- 1991. A trade-off between scale and precision in resource foraging. Oecologia 87:532–538. , , and .
- 1986. Sets of efficient points in a normed space. J. Math. Anal. Appl. 117:506–528. , and .
- 2005. Optimal Performance of the Heat-Shock Gene Regulatory Network. in Proceedings 16th IFAC World Congress, Prague. , , , and .
- 2001. Optimality and evolutionary stability under short-term and long-term selection. Pp. 161–190 in E. Sobe and S. Orzack eds. Adaptationism and optimality. Cambridge University Press, Cambridge, UK. , and .
- 1995. Theories of optimization, form and function in branching architecture in plants. Funct. Ecol. 9:355. , and .
- 1998. Principles of Population Genetics. Sinauer Associates, Sunderland, MA. , and .
- 2009. Extinctions in heterogeneous environments and the evolution of modularity. Evolution 63:1964–1975. , , , , and .
- 2009. Functional–structural models optimize the placement of foliage units for multiple whole-canopy functions. Ecol. Res. 25:723–732.
- 2010. Evolution and development of shape: integrating quantitative approaches. Nat. Rev. Genet. 11:623–635.
- 1967. On a pair of dual nonlinear programs. Pp. 38–54 in J. Abadie, ed. Methods of nonlinear programming. North-Holland, Amsterdam. .
- 1987. Ecological morphology and flight in bats (Mammalia; Chiroptera): wing adaptations, flight performance, foraging strategy and echolocation. Philos. Trans. R. Soc. Lond. B Biol. Sci. 316:335–427. , and .
- 2005. The genetic theory of adaptation: a brief history. Nat. Rev. Genet. 6:119–127.
- 2001. Adaptationism and optimality. Cambridge University Press, Cambridge, UK. , and .
- 1979. Caste and ecology in the social insects. (MPB-12). Princeton University Press, Princeton, NJ. , and .
- 2008. Facilitated variation: how evolution learns from past environments to generalize to new environments. PLoS Comput. Biol. 4:e1000206. , , and .
- 1994. Exploring fitness surfaces. Am. Nat. 597–616. , and .
- 2012. Evolutionary trade-offs, pareto optimality, and the geometry of phenotype space. Science 336:1157–1160. , , , , , , et al.
- 1992. The evolution of life histories. OUP Oxford, New York.
- 1986. Multiple criteria optimization: theory, computation, and application. Wiley, New York.
- 1984. Some properties of location problems with block and round norms. Oper. Res. 1309–1327. , , and .
- 2000. Phenotypic clines, plasticity, and morphological trade-offs in an intertidal snail. Evolution 54:151–166.
- 2001. Speed and stamina trade-off in lacertid lizards. Evolution 55:1040–1048. , , and .
- 2005. Many-to-one mapping of form to function: a general principle in organismal design? Integr. Comp. Biol. 45:256–262. , , , and .
- 2012. Pareto evolution of gene networks: an algorithm to optimize multiple fitness objectives. Phys. Biol. 9:056001. , , and .