Conservation biogeography of mammals in the Cerrado biome under the unified theory of macroecology

Understanding what limits the distribution and abundance of species is critical for adopting optimal conservation planning strategies, although it is still difficult to obtain abundance data at broad spatial scales. Here we propose conservation priorities in the Brazilian Cerrado based on density values of 108 mammal species. These values were estimated by an abundant-centre model coupled with McGill and Collin's unified theory for macroecology. We assumed that species' densities decay with a Gaussian distribution towards the range borders from a maximum density placed at the centre of each species' range. We used allometric equations to estimate maximum densities, at the Cerrado region we corrected the estimated densities by the natural vegetation remnants. Then we used a Simulated Annealing algorithm to select alternative sets of areas that met several levels of minimum viable population sizes (MVPSs) for each species. With low MVPSs, there were a small number of highly irreplaceable areas located in the northwest region of the biome, whereas with high MVPSs, highly irreplaceable areas occurred in up to 95% of the biome. By incorporating principles from the unified theory of macroecology, we were able to generate a conservation network for the Cerrado biome aiming to prioritise species' persistence and not just their presence.