About the Authors

Marc Mangel

To whom correspondence should be addressed. E-mail: msmangel@ucsc.edu

Affiliation Center for Biomolecular Science and Engineering, Department of Applied Mathematics and Statistics, University of California Santa Cruz, Santa Cruz, California, United States or America

Michael B. Bonsall

Affiliation Mathematical Ecology Research Group, Department of Zoology, University of Oxford, Oxford, United Kingdom

Competing Interests

The authors have declared that no competing interests exist.

Author Contributions

Wrote the paper: MM MB. Other: Conceived and designed the models: MM. Analyzed the models: MM. First proposed the problem: MM. Worked extensively on the modeling and the paper: MB MM.