Ecological Archives E096-052-A1
Alejandro Gustavo Farji-Brener, Federico Chinchilla, María Natalia Umaña, María Elena Ocasio-Torres, Alexander Chauta-Mellizo, Diana Acosta-Rojas, Sofía Marinaro, Mónica de Torres Curth, and Sabrina Amador-Vargas. 2015. Branching angles reflect a trade-off between reducing trail maintenance costs or travel distances in leaf-cutting ants. Ecology 96:510–517. http://dx.doi.org/10.1890/14-0220.1
Appendix A. Mathematical rationale of the tradeoff function of branching angles that yields the maximum payoff.