GIS-ready data layers
GIS layers for most maps are available in two formats.
GIS data for Brazil are available on Dryad at http://dx.doi.org/10.5061/dryad.6rv61
GIS data for marine biodiversity are available on Dryad at http://dx.doi.org/10.5061/dryad.3mn1t
Methods used in preparing the biodiversity maps can be found here.
As a complement to the biodiversity data, the Natural Earth site is a good source for GIS data on political and biophysical features.