Importance of spatial population characteristics on the fertilization rates of sea urchins.

We show that inclusion of population characteristics in coupled advection-diffusion and fertilization-kinetics models results in higher fertilization rates than those previously reported in theoretical studies. We incorporate parameters related to both individuals and populations by running simulations over a large spatial scale and incorporating sperm contribution from multiple males. We compare predictions for three subpopulations of the sea urchin Strongylocentrotus droebachiensis (those occupying kelp beds, barrens, and grazing fronts) to observations from small-scale experiments, and estimate effects of population size and current velocity in each subpopulation. Model outputs suggest that fertilization rates are low in kelp beds, intermediate in barrens, and high in grazing fronts. In all populations, increasing current velocity has a negative effect on the relationship between fertilization rate and downstream distance of gametes after release, but no effect on the relationship between fertilization rate and elapsed time since gamete release. Our model output was most sensitive to changes in the number of spawning males and the sperm release rate, suggesting that spawning synchrony and high gonadic index could greatly increase the fertilization success in sea urchins.