Intersection of motor volumes predicts the outcome of predator-prey interactions
The escape maneuvers of animals are key determinants of their survival. Consequently these maneuvers are under intense selection pressure. Current work indicates that a number of escape maneuver parameters contribute to survival including response latency, escape speed, and direction. This work has found that the relative importance of these parameters is context dependent, suggesting that interactions between escape maneuver parameters and the predatory context together determine the likelihood of escape success. However, it is unclear how escape maneuver parameters interact to contribute to escape success across different predatory contexts. To clarify these issues, we investigated the determinants of successful escape maneuvers by analyzing the responses of larval zebrafish to the attacks of dragonfly nymphs. We found that the strongest predictor of the outcome was the time needed for the nymph to reach the fishs initial position at the onset of the attack, measured from the time that the fish initiates its escape response. We show how this result is related to the intersection of the swept volume of the nymphs grasping organs with the volume containing all possible escape trajectories of the fish. By analyzing the intersection of these volumes, we compute the survival benefit of recruiting the Mauthner cell, a neuron in anamniotes devoted to producing escapes. We discuss how escape maneuver parameters interact in determining escape response. The intersection of motor volume approach provides a framework that unifies the influence of many escape maneuver parameters on the likelihood of survival.