Schooling increases risk exposure for fish navigating past artificial barriers.

Artificial barriers have become ubiquitous features in freshwater ecosystems and they can significantly impact a region's biodiversity. Assessing the risk faced by fish forced to navigate their way around artificial barriers is largely based on assays of individual swimming behavior. However, social interactions can significantly influence fish movement patterns and alter their risk exposure.

Carrying BioMath education in a Leaky Bucket.

In this paper, we describe a project-based mathematical lab implemented in our Applied Mathematics in Biology course. The Leaky Bucket Lab allows students to parameterize and test Torricelli's law and develop and compare their own alternative models to describe the dynamics of water draining from perforated containers. In the context of this lab students build facility in a variety of applied biomathematical tools and gain confidence in applying these tools in data-driven environments.

Leading students to investigate diffusion as a model of brine shrimp movement.

Integrating experimental biology laboratory exercises with mathematical modeling can be an effective tool to enhance mathematical relevance for biologists and to emphasize biological realism for mathematicians. This paper describes a lab project designed for and tested in an undergraduate biomathematics course. In the lab, students follow and track the paths of individual brine shrimp confined in shallow salt water in a Petri dish.

Seed dispersal in heterogeneous environments: bridging the gap between mechanistic dispersal and forest dynamics models.

Seed dispersal is an important determinant of vegetation composition. We present a mechanistic model of seed dispersal by wind that incorporates heterogeneous vegetation structure. Vegetation affects wind speeds, a primary determinant of dispersal distance.

Niche shifts in Greater Antillean Anolis communities: effects of niche metric and biological resolution on null model tests.

Using published data, a Monte Carlo approach was used to determine if niche shifts in communities of Anolis lizards have occurred within two islands in the Greater Antilles. Communities at 4 sites on Puerto Rico and 4 sites on Jamaica were randomly assembled using resource-use data from any of the 4 sites with the constraint that the species list of the random community was identical to that observed for each site. The observed niche structure and that of the randomly assembled community were compared at each site.

Avian community assembly rules: The foliage-gleaning guild.

The theory of animal community organization has been dominated by general models based on the Lotka-Volterra equations. The predictions of these models are difficult to test in particular situations. Moreover, a great deal of ecological information is incommensurate with the data requirements of these models.