Operating under several assumptions regarding density-dependant dispersal, a novel way of visualizing the source-sink dynamics of metapopulations is introduced in which vector calculus operators were applied to approximated surface functions. First, occurrence data were used to create a population density matrix for a fictional Genus species, which was modeled as a 3-dimensional scatter plot. Next, the data were fitted to an approximated function corresponding to the data's 3-dimensional surface, permitting the data to be treated as a scalar field. This scalar field was then subjected to the gradient and divergence operators to produce a mathematical model of G. species migration and source-sink dynamics, respectively.