Since neutral loci do not show structure, it is likely that propagules disperse extensively around the Atoll. Yet only a subset of them, which carries outlier loci, may survive in specific conditions. Most shifted reefs are within the lagoon and in front of villages. It may be the case that water conditions (high temperatures and nutrients, limited mixing) are the limiting factors that select specific genotypes, allowing Montipora sp. to thrive, while weakening other species of corals, thus shifting the balance among species. Importantly, the type of reef (pristine vs phase-shifted) and localities are correlated, because most phase-shifted reefs happen to be in the north of the Atoll. It is therefore impossible to definitively tease out the potential effects of selection and locality.
They're basically explaining the differences they see in abundance of Montipora as being due to water conditions, which is very reasonable. Considering it does seem that human interference didn't cause the weed-like behavior of Montipora, it is possible it could simply just be due to limiting factors in certain areas of the coast.