After one island has experienced mass extinction of its mainland species, the chances are that the closer and more distant islands will have no consequences when it comes to their equilibrium.
Explanation:
If an island experiences devastating volcanic eruption, and the majority of its mainland species are destroyed, the island will have huge consequences when it comes to its equilibrium number of species. The reason for this is that the equilibrium number of species represents the optimal number of species, or rather the number of species that is capable on surviving on the available resources, not more, not less. With the majority of the mainland species gone, the island will have significantly less species than the equilibrium number of species, so it will take some time in order that number to be achieved.
Because it is an island we are talking about, and mainland species in question, the nearby and more distant islands will not have any consequences on their equilibrium number of species. This is because the species on those islands will not be affected, as they don't have any direct connection with the mainland species of the island in question. Also, the mainland species from the other islands will not be able to migrate in mass numbers toward the island that experienced disaster, but only accidentally and under particular conditions, but still in very small numbers, thus maintain the balance.
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