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Re: Nature of the fossil record



"Shaw effect": I believe using this in MacLeod's sense would be inappropriate,  
although he is right that there is an obvious connection between quantitative  
biostratigraphy in general, confidence intervals in particular, and the  
Signor-Lipps effect. Classical graphic correlation in the tradition of Shaw is  
concerned with correlating appearance datums, not with establishing the error on  
any one datum in any one section. Furthermore, it deals with _first_ appearances  
in addition to last appearances, unlike the whole Signor-Lipps problem. There is  
no need for nomenclatural debates; the terminology should be clear to everyone.

"Barren interval": I and others have argued endlessly that the "gap" in the Hell  
Creek section is trivial, regardless of whether it can be modeled using simple  
confidence intervals (would someone please try?) or needs to be explained by  
invoking some change in taphonomic modes (as Doug implies). One meter is nothing  
in a rapidly deposited, "predominantly fluviatile" terrestrial formation where  
most of the vertebrates in the upper part of the section occur in deeply incised  
channels (Archibald 1982). As for the "thousands of fossils" (reference?), this  
must refer to either 1) non-dinosaurian vertebrates, or 2) small, isolated  
dinosaur elements such as centimeter-sized teeth that occur as reworked material  
_above_ the boundary. What we really want to know about is the occurrence of  
articulated, clearly non-reworked dinosaurs, of which there are surely far fewer  
than "thousands" in the Cretaceous as a whole, much less in the Hell Creek.  
MacLeod seems to be convinced that the 95% confidence interval would fall within  
the uppermost meter of the formation; let's see him (or someone) actually do  
some calculations. Maybe the Berkeley or Milwaukee people can provide some data.

Ignoring Signor-Lipps: biostratigraphy - like all empirical sciences - requires  
either parsimony or null hypothesis testing. The Signor-Lipps effect is just an  
name for one aspect of the relevant null hypothesis, i.e., that observed  
taxonomic ranges are shorter than real ranges. Ignoring Signor-Lipps and then  
equating real and observed ranges is _not_ null hypothesis testing; there is  
simply no way to falsify such a claim. As for parsimony, a catastrophic  
extinction would predict a large number of observed non-overlaps (disjunctions)  
between taxa above and below the boundary. In fact, a relatively huge number of  
disjunctions for mammals are strongly implied by published data (if you want  
some numbers, I'll provide them). The only parsimonious explanation is that such  
an extinction event did occur.