Speciation is the process by which new species form. It occurs when populations become isolated from each other and diverge to the point that they can no longer interbreed. Isolation can be geographic, such as when physical barriers separate populations, or reproductive, such as when changes prevent successful mating. Speciation rates may be gradual over millions of years or punctuated by rapid changes following events like natural disasters. The evolutionary history and relationships between species can be modeled in cladograms or phylogenetic trees.