Final answer:
The successful immigration rate has a positive correlation with the anticipated biodiversity of each island, as higher rates contribute to greater biodiversity.
Step-by-step explanation:
The successful immigration rate is positively correlated with the anticipated biodiversity of each island. This is based on the principles of island biogeography developed by Robert H. MacArthur and Edward O. Wilson. Their work indicates that islands with higher immigration rates will generally have higher biodiversity. Smaller and more remote islands tend to have lower immigration rates, limited geographic diversity, and higher extinction probabilities, all factors that contribute to lower levels of biodiversity. Meanwhile, larger islands closer to a mainland can support a greater variety of species due to easier accessibility for migrating species and a more diverse environment promoting speciation.