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Many-to-One Mapping of Form to Function: A General Principle in Organismal Design?
Peter C. Wainwright, Michael E. Alfaro, Daniel I. Bolnick and C. Darrin Hulsey
Integrative and Comparative Biology
Vol. 45, No. 2 (Apr., 2005), pp. 256-262
Published by: Oxford University Press
Stable URL: http://www.jstor.org/stable/4485794
Page Count: 7
You can always find the topics here!Topics: Jaw, Animal morphology, Mechanical properties, Fish, Evolution, Simulations, Mechanical systems, Maxilla, Convergent evolution, Species
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We introduce the concept of many-to-one mapping of form to function and suggest that this emergent property of complex systems promotes the evolution of physiological diversity. Our work has focused on a 4-bar linkage found in labrid fish jaws that transmits muscular force and motion from the lower jaw to skeletal elements in the upper jaws. Many different 4-bar shapes produce the same amount of output rotation in the upper jaw per degree of lower jaw rotation, a mechanical property termed Maxillary KT. We illustrate three consequences of many-to-one mapping of 4-bar shape to Maxillary KT. First, many-to-one mapping can partially decouple morphological and mechanical diversity within clades. We found with simulations of 4-bars evolving on phylogenies of 500 taxa that morphological and mechanical diversity were only loosely correlated (R² = 0.25). Second, redundant mapping permits the simultaneous optimization of more than one mechanical property of the 4-bar. Labrid fishes have capitalized on this flexibility, as illustrated by several species that have Maxillary KT = 0.8 but have different values of a second property, Nasal KT. Finally, many-to-one mapping may increase the influence of historical factors in determining the evolution of morphology. Using a genetic model of 4-bar evo we exerted convergent selection on three different starting 4-bar shapes and found that mechanical convergence only created morphological convergence in simulations where the starting forms were similar. Many-to-one mapping is widespread in physiological systems and operates at levels ranging from the redundant mapping of genotypes to phenotypes, up to the morphological basis of whole-organism performance. This phenomenon may be involved in the uneven distribution of functional diversity seen among animal lineages.
Integrative and Comparative Biology © 2005 Oxford University Press