What ecological process is demonstrated by the feeding patters of the finches in the picture?

The ecological process demonstrated by the feeding patterns of the finches in the picture is natural selection. The different beak shapes of the finches allow them to feed on different types of food, and over time, the finches with beaks that are best suited to the available food sources are more likely to survive and reproduce. This leads to a change in the proportion of different types of beaks within the population, as observed by Darwin on the Galapagos Islands.