Defense Date


Document Type


Degree Name

Master of Science


Mathematical Sciences

First Advisor

David M. Chan


From the agent-based, correlated random walk model presented, we observe the effects of varying the parameter values of maximum insect turning area, ��max, density of trees, ω, maximum pollen carryover, ��max, and probability of fertilization, P��, on the distribution of pollen within a population of Cornus florida (flowering dogwood). We see that varying ��max and ��max changes the dispersal distance of pollen, which greatly affects many measures of connectivity. The clustering coefficient of fathers is maximized when ��max is between 60° and 90°. Varying ω does not have a major effect on the clustering coefficient of fathers, but it does have a greater effect on other measures of genetic diversity. Lastly, we compare our simulations with randomly-placed trees with that of actual tree placement of C. florida at the VCU Rice Center, concluding that in order to truly understand how pollen is distributed within a specific ecosystem, specificity in describing tree locations is necessary.


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