When do locomotor appendages get complicated?

Shai Revzen

Society for Integrative and Comparative Biology, vol. 57, pp. E385, 2017

Abstract

Some animals contact the substrate on which they move using simple appendages – limbs with few degrees of freedom, which interact with the substrate with what is effectively a single rigid contact, such as a horse’s hoof. Other animals have large multi-fingered feet, prehensile tails, or multi-segment tarsi. Why do some locomotor appendages have many mechanical degrees of freedom while others have only a few? From first principles of Newtonian mechanics, it can be seen that when animals need to produce distinct and unanticipated mechanical configurations ("symbols") so rapidly that environmental noise becomes a challenge, this produces a lower bound on the number of degrees of freedom needed in the body. In particular, if an animal needs to emit N different symbols, the animal’s energy budget for emitting each symbol must be at least order of 2N times the energy of typical environmental noise – otherwise simple bodies cannot work. As this safety margin approaches 1, the number of degrees of freedom needed in the locomotor appendages quickly rises to infinity.

BibTeX

@conference{revzen-2017-sicb,
  author = {Revzen, Shai},
  title = {When do locomotor appendages get complicated?},
  booktitle = {Society for Integrative and Comparative Biology},
  year = {2017},
  volume = {57},
  pages = {E385}
}