It looks at first blush like he's proposing something akin to PE, but believes that changes are even more abrupt than Gould theorized.
That was the impression that I got, too. I was going to say this on mpb's thread before it got ruled off-topic, so I'll say it here:
The fossil record shows a tremendous number of transitional fossils demonstrating
macroevolution, but very few "missing links" that demonstrate
microevolution -- but who cares, since creationists accept microevolution anyway?
I'm going to repeat
Dr. Theobald's ape-to-human picture:
Now, if someone can accept that microevolution can produce all of the different felines from a single "cat kind" (as creationist baramology advocates), then that someone shouldn't have any trouble seeing how microevolution can proceed from one of the stages shown to the next.
What is missing in many lineages are sequences showing the slow, imperceptible gradations from one species to another predicted by the strictest model of traditional Darwinism. Punctuated Equilibrium expains why we see this pattern, and Schwartz seems to be advocating a particular mechanism for this.
However, macroevolution is clearing indicated in the fossil record. Not only do transitional forms exist in abundance that are clearly related to earlier species, but all the known species exist on the standard phylogenic tree predicted by common descent.
We see sequences of different species, A-B-...-H, where each species is clearly related to the preceding species, and where it is not a stretch to imagine microevolving from one species to the subsequent one. Yet A is clearly a different taxon from H, and indication of macroevolution. B, C, D, ..., G are all transitionals, and they all exist -- people have held them in their hands and described them.
The missing links are between A and B, between B and C, and so forth. But these missing links shouldn't pose a problem to those who accept microevolution since the differences between A and B are so small.
Actually, if their god makes better pancakes, I'm totally switching sides. --
Charley the Australopithecine