“Mathematical Modelling of the Dynamics of Migrations for Large Mammal Populations in the Amboseli National Park, Kenya”.
His work proposed a spatially explicit mathematical model of ungulate migrations based on the seasonal distribution of vegetation quantity, quality and allometric models of diet. He studied the impact of blocked corridors on herbivore populations using a spatial mathematical model that describes the movements and population dynamics of selected species. Aggregation methods were used to reduce the complexity of the model which uses actual parameters calibrated from long term data collected in Amboseli for over three decades. The results show that a possible mechanism of maintenance of biodiversity in the area could be due to an exchange of animals between the park and surrounding ecosystems, when the oscillations of species densities in the ecosystems are out of phase compared to each other and to those within the park. The migrants also broadly track the shifting patterns of vegetation growth and senescence according to body size.