Hi Ron,
Sorry, "TEv" was supposed to refer to Theistic Evolution.
For many years this was kind of the standard position of most protestants.
Although the "Cambrian Explosion" was certainly a remarkable "discontinuity" in the rate of speciation, it was a sufficiently ancient event that it is difficult to resolve the timing of different individual emergences -- and "punctuations" are defined as a large amount of mutation withina single species which occurs more rapidly than would be expected based on normal mutation rates coupled with survival fitness.
P.E. (particularly the equilibria part ) is observed throughout the fossil record, but clear evidence for punctuation shows up most clearly primarily in the past few million years -- where the best chronological detail is still preserved.
More detail (likely more than really interests you):
One excellent study was reported in Stefan Bornholdt's "The Dynamics of Large Biological Systems: A
Statistical Physics View of Macroevolution. See:
https://www.amazon.com/Evolutionary-Dynamics-Exploring-Neutrality-Complexity-dp-0195142659/dp/0195142659/ref=mt_other?_encoding=UTF8&me=&qid=1594942595 (pp.65-78)
I quote from section 2. on p.67:
The picture of biological evolution that Charles Darwin drew more than a century ago is remarkably up to date, Competition between species and selection of the fittest proves to be a useful hypothesis for explaining most of the observational picture of biological evolution. However, one prominent and highly nontrivial aspect of the evolutionary record is not part of this picture: The largely discontinuous nature of the emergence of new species observed in the fossil record, which Eldredge and Gould [6] coined "punctuated equilibrium." While the Darwinian picture assumes smooth adaptation and gradual speciation, the fossil record shows speciation mostly as discontinuous jumps in morphology space that cannot be further resolved on the stratigraphic time scale of the fossil record. An example is shown in figure 1. Hardly any gradual change is seen in the branching of many species, in contrast to the central postulate of gradual evolution in Darwin's original theory. For a long time this had been assigned to the incompleteness of the fossil record and a major critic of Darwinian evolution was the large number of "missing links" in this sense. However, today it is well established that speciation occurring in a noncontinuous fashion is the rule rather than the exception in the fossil record. This evidence has first been carefully documented by Schindewolf [23], but found wider acceptance only after further work by Eldredge and Gould [8] and several years of active discussion in the scientific community[10,11].
What is the underlying reason for this remarkable dynamical feature of macroevolution? A convincing model for this behavior is still lacking. Ultimately, any valid theory of macroevolution should be able to provide a mechanism that explains this dynamics.
In section 3. the author cites Sepkoski's database of about 50,000 marine genera as a valuable resource for testing future theories [22, 25].
On one hand we have the field workers: Throughout his books, Gould repeatedly explains that this discontinuous process is what is always seen in the fossil record. Paleoanthropologists like Johanson and the Leaky clan universally acknowledge this feature of the fossil record in their books.
On the other, the theoretical and laboratory researchers, like Dawkins, who understand the theoretical basis of Darwin's theory, and its repeated verification in laboratory species having extremely large population sizes (e.g. bugs and bacteria) -- and the apparent absence in small populations (e.g. endangered species) -- unlike pests and diseases, the hunted don't simply evolve every few years to get the jump on the hunters.
The field experts know that P.E. is what DID happen -- ignoring the mathematical/theoretical basis (population dynamics) for Darwin's theory, the theorists and lab researchers know that gradualism MUST HAVE HAPPENED -- holding the theoretical basis (including philosophical naturalism) to be true at the cost of ignoring the fossil evidence. Truth seekers are kind of forced into either the position I have taken, or at least into one which is very close to it.
In case you are really a glutton for annoying detail:
Since the Gould-Dawkins debate (and especially since Gould's death), the two camps appear (mostly) to have worked out some kind of truce where they have stopped debating each other publicly to preserve outward appearances.
- Don