Wading bird foraging on a wetland landscape: a comparison of two strategies.

Tactile-feeding wading birds, such as wood storks and white ibises, require high densities of prey such as small fishes and crayfish to support themselves and their offspring during the breeding season. Prey availability in wetlands is often determined by seasonal hydrologic pulsing, such as in the subtropical Everglades, where spatial distributions of prey can vary through time, becoming heterogeneously clumped in patches, such as ponds or sloughs, as the wetland dries out. In this mathematical modeling study, we selected two possible foraging strategies to examine how they impact total energetic intake over a time scale of one day. In the first, wading birds sample prey patches without a priori knowledge of the patches' prey densities, moving from patch to patch, staying long enough to estimate the prey density, until they find one that meets a predetermined satisfactory threshold, and then staying there for a longer period. For this case, we solve for a wading bird's expected prey intake over the course of a day, given varying theoretical probability distributions of patch prey densities across the landscape. In the second strategy considered, it is assumed that the wading bird samples a given number of patches, and then uses memory to return to the highest quality patch. Our results show how total intake over a day is impacted by assumptions of the parameters governing the spatial distribution of prey among patches, which is a key source of parameter uncertainty in both natural and managed ecosystems. Perhaps surprisingly, the foraging strategy that uses a prey density threshold generally led to higher maximum potential prey intake than the strategy for using memory to return to the best patch sampled. These results will contribute to understanding the foraging of wading birds and to the management of wetlands.

Simple criteria for finding (nearly) optimal vaccination strategies.

Strategies for best controlling the spread of the diseases with limited vaccine available are explored. I use influenza as a representative disease in point. The model describes the dynamics of influenza spread among multiple groups that have different risks and activity levels. I define a core group consisting of individuals with occupations that brings them in contact with many other people in a day. These occupations may include service industries, teachers, health care, and government workers, to name a few. High-risk individuals are those as typically designated for: children under 5 and adults over 50, people with weakened immune systems as well as emergency and health care personnel. Under certain conditions, shifting vaccination resources away from the high-risk group to the high-activity group will result in improved herd immunity in both the high-risk group and the population as whole. This results in more high-risk people protected even though less of them are being vaccinated, with the obvious implications that current vaccination policies may be far less then optimal. I show that the criteria for the optimal strategy can be derived from simple expressions gleaned from the expression for the basic reproductive number.