See novangelis' answer, and his link to the UC Berkeley evolution web site.
Or see my answer to this question: https://answersrip.com/question/index?qid=20061114162706AAJ3vs9
CRR copy-pastes from creationist website creation.com (Creation Ministries International) in an attempt to confuse you about whether the evidence supports evolution.
I don't have time to rebut all of his copy-pasted paragraphs. So I'll just address the first one.
Biogeography, the distribution of life.
>"The data can be seen to fit the biblical account of recolonisation following the Genesis Flood, and particularly the hypothesis that the observed patterns arose from global dispersal on natural rafts."
A pretty astounding avoidance of the key issue. The problem is not just the "dispersal" of species, but their ISOLATION (endmism). Saying that (e.g.) the marsupials "recolonized" Australia on natural rafts, doesn't explain why they did NOT "recolonize" Africa or Asia by walking.
Evolution *as a process* explains endemism as dispersal followed by radiation (speciation from a common ancestor) ... both of which take TIME.
Creationists TRY to twist post-Flood "recolonization" into the same concept ... by accepting that species can disperse and radiate (at a breakneck pace) ... but we should not call this "evolution" ... but simply 'microevolution' within "kinds".
I would ask CRR ... is 'marsupial' a "kind"?
Are kangaroos, bandicoots, koalas, wombats, wallabies, Tasmanian devils, thylacines, opossums, sugar gliders, bilbies and on and on ... all just speciation within the same "kind"?
Is it more believable that the over 230 different species of marsupials endemic to Australia (the remaining 100 species endemic to the Americas) took 50 million years to speciate from a single ancestral species ... or that this happened within the last 3,000 years since the Genesis Flood?
And IF you are willing to accept the absolutely *ASTOUNDING* pace of speciation "within kinds" needed to support Flood explanations of biogeography ... why do you think this makes a good argument *against* evolution? Does it really come down to a time limit?
So back to the original question "What is evolution supported by?"
Just remember that when we refer to how evolution is "supported by" evidence, keep your eye on the ball ... the CONCEPT of change over time.
Creationists are quite good at convincing each other that the evidence does not support evolution, even while they make arguments that clearly DO support evolution but can simply be denied by refusing to call it "evolution".
But such arguments fail to persuade even a sliver of a significant percentage of scientists. Why? Because accepting the CONCEPTS, but refusing to use the word "evolution" to describe it, is not much of an argument.