You are correct, Clyde. Gould was talking about punk eek, an attempt of his to resurrect the "hopeful monster" of Goldschmidt. The movement, I believe, was discredited by Richard Dawkins in the "The Blind Watchmaker" and is not very popular among biologists. Although it is strange to note that even Dawkins admitted the necessity of some sort of lesser systemic macromutation (what used to be called saltation) Darwin asserted, however, that
In the words of Gould's partner Steve Stanley, describing the famous Bighorn Basin where species thought to have morphed into others overlap in time with their supposed descendantsNatural selection can act only by the preservation and accumulation of infinitesmally small inherited modifications, each profitable to the preserved being...
I believe Stanley attempted to rectify this by relying upon changes in regulatory genes.If an average chronospecies lasts nearly a million years, or even longer, and we have at our disposal only ten million years, then we have only ten or fifteen chronospecies to align, end-to-end, to form a continuous lineage connecting our primitive little mammal with a bat or a whale. Chronospecies, by definition, grade into each other, and each one encompasses very little change. A chain of ten or fifteen of these might move us from one small rodentlike form to a slightly different one, perhaps representing a new genus, but not to a bat or a whale!"
Also from Stanley
Richard Dawkins, referring to the species suddenly appearing in the Cambrian explosionthe fossil record does not convincingly document a single transition from one species to another
Gould again after a conference on mass extinctions:It is as though they were just planted there, without any evolutionary history
Niles Eldredge, cofounder of punctuated equilibrium:We can tell tales of improvements for some groups, but in honest moments we must admit that the history of complex life is more a story of multifarious variation about a set of basic designs than a saga of accumulating evidence
W.E SwintonWe paleontologists have said that the history of life supports
that intepretation (referring to gradual adaptive change), all the while knowing that it does not
Colin Patterson, curator of the British Natural Museum of History, responding to a challengeThe origin of birds is largely a matter of deduction. There is no fossil evidence of the stages through which the remarkable change from reptile to bird was achieved
I just thought I'd post these quotes. Don't worry Clyde, none of them are fabricated.You say I should at least 'show a photo of the fossil from which each type or organism was derived.' I will lay it on the line--there is not one such fossil for which one could make a watertight argument. It is easy enough to make up stories of how one form gave rise to another.... But such stories are not part of science, for there is no way of putting them to the test.