Final answer:
The probability of recolonization in a metapopulation is higher with larger patch sizes and less isolation, which enables easier dispersal and exchange of individuals among patches.
Step-by-step explanation:
In a metapopulation, the probability of recolonization in a local population increases with increasing patch size and decreasing isolation. This is because larger patches can support more individuals and hence have a greater capacity to sustain populations, while decreased isolation means that patches are closer to other existing populations.
This proximity allows for easier and more frequent movements of individuals between patches, facilitating recolonization should local extinctions occur.