The document discusses two patterns of speciation: gradualism (anagenesis) in which a species slowly changes over time through natural selection until it is considered a new species, and branching (cladogenesis) in which a species rapidly splits into two or more new species. Branching speciation occurs through geographic isolation of populations followed by the evolution of reproductive barriers between the isolated groups, preventing interbreeding. This process of branching is the basis for biological diversity as it leads to the formation of multiple new species from the original.