That "particular fossil series" was one the one YOU provided to support your claim that Ann Coulter (and most evolutionary biologists) falsely say the fossil record does not show gradualism.
Here is what Wiki says about phyletic gradualism
Punk ek et al are attempts to defend evolution in lieu of the fossil record.
Faced with these facts of evolution and the philosophical bankruptcy of their own position, creationists rely upon distortion and innuendo to buttress their rhetorical claim. If I sound sharp or bitter, indeed I amfor I have become a major target of these practices.Of course, Darwin had actually beat Gould and Eldredge to a lot of that, including being dishonestly quote-mined to death.I count myself among the evolutionists who argue for a jerky, or episodic, rather than a smoothly gradual, pace of change. In 1972 my colleague Niles Eldredge and I developed the theory of punctuated equilibrium. We argued that two outstanding facts of the fossil recordgeologically "sudden" origin of new species and failure to change thereafter (stasis)reflect the predictions of evolutionary theory, not the imperfections of the fossil record. In most theories, small isolated populations are the source of new species, and the process of speciation takes thousands or tens of thousands of years. This amount of time, so long when measured against our lives, is a geological microsecond. It represents much less than 1 per cent of the average life-span for a fossil invertebrate speciesmore than ten million years. Large, widespread, and well established species, on the other hand, are not expected to change very much. We believe that the inertia of large populations explains the stasis of most fossil species over millions of years.
We proposed the theory of punctuated equilibrium largely to provide a different explanation for pervasive trends in the fossil record. Trends, we argued, cannot be attributed to gradual transformation within lineages, but must arise from the different success of certain kinds of species. A trend, we argued, is more like climbing a flight of stairs (punctuated and stasis) than rolling up an inclined plane.
Since we proposed punctuated equilibria to explain trends, it is infuriating to be quoted again and again by creationistswhether through design or stupidity, I do not knowas admitting that the fossil record includes no transitional forms. Transitional forms are generally lacking at the species level, but they are abundant between larger groups.
All you need to know about Punctuated Equilibrium (almost)
Each item above is expanded and factually supported in detail on the web page.
- There are two common uses of "gradualism," one of which is more traditional and correct, the other of which is equivalent to Eldredge and Gould's "phyletic gradualism."
- Darwin was not a "phyletic gradualist," contrary to the claims of Eldredge and Gould.
- PE is not anti-Darwinian; in fact, the scientific basis and conclusions of PE originated with Charles Darwin.
- PE does not require any unique explanatory mechanism (e.g. macromutation or saltation).
- Eldredge and Gould's PE is founded on positive evidence, and does not "explain away" negative evidence (e.g. a purported lack of transitional fossils).
Not that this will stop you from LOLing back next time with the same pig-ignorant unfactual talking points you're clinging to against all evidence here.