According to the concept of transformational evolution, first clearly articulated by Lamarck, evolution consists of the gradual transformation of organisms from one condition of existence to another.

I published that theory [of speciational evolution] in a 1954 paper…and I clearly related it to paleontology. Darwin argued that the fossil record is very incomplete because some species fossilize better than others... I noted that you are never going to find evidence of a small local population that changed very rapidly in the fossil record... Gould was my course assistant at Harvard where I presented this theory again and again for three years. So he knew it thoroughly. So did Eldredge. In fact, in his 1971 paper Eldredge credited me with it. But that was lost over time.

The funny thing is if in England, you ask a man in the street who the greatest living Darwinian is, he will say Richard Dawkins. And indeed, Dawkins has done a marvelous job of popularizing Darwinism. But Dawkins' basic theory of the gene being the object of evolution is totally non-Darwinian.