Mass extinctions and the Signor-Lipps effect. When a collection of taxa (e.g., species of dinosaurs or ammonites) are killed off simultaneously in a mass extinction, their last occurrences in the fossil record may nonetheless give the impression of a gradual extinction, due to the incompleteness of the fossil record (the Signor-Lipps effect). I develop methods for testing whether a mass (sudden) extincton has occurred, and for estimating the position and duration of such an extinction. I also study the related topic of placing confidence intervals on stratigraphic ranges, i.e., estimating the time of extinction of a taxon based on its fossil record.
Evolutionary trends. Large-scale trends in the history of life (such as increase in
body size, a.k.a. "Cope's Rule") may be a result of driven
mechanisms (e.g., selection) or passive mechanisms (e.g., diffusion away
from a lower bound). Several tests have been developed to categorize
a trend as either driven or passive, but real trends are
likely to be a combination of both types.
I have developed a new method, the Analysis of Skewness, to quantify the extent to which a trend
is a combination of driven and passive trends. I also study trends in the maximum size attained by life on earth over time, and ways of displaying and characterizing large-scale trends.
Macroevolution. Using statistical analysis and paleontological databases, I study large-scale questions about the history of life. Sample questions include: (1) Are mass extinctions merely larger manifestations of processes responsible for background extinction, or are they a fundamentally different phenomenon?
(2) How many kinds of dinosaurs ever lived, and were dinosaurs already declining before an impact at the end of the Cretaceous Period caused their ultimate extinction? (3) Are observed extinction rates in mass extinctions a reliable guide to the severity of the triggering mechanism? That is, does a higher extinction rate indicate a more severe cause, or can factors such as Simpson's paradox make such an inference misleading?
Dynamics of extinction in food webs.
The end-Permian mass extinction was the most severe in the history of life, but its causes remain enigmatic.
With
Peter Roopnarine of the California Academy of Sciences and
Ken Angielczyk of the Field Museum,
I study the dynamics of extinction in terrestrial ecosystems during the Permian.
Using models of Permian food webs, we explore how the extinction of primary producers (e.g. green plants) could have led to the collapse of terrestrial ecosystems. More generally, we study factors leading to stability or instability in ecosystems.
More information:  
Publications
  |  
Media coverage
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Talks
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Lab members and collaborators
Funding from the following sources is gratefully acknowledged:
National Science Foundation
American Chemical Society Petroleum Research Fund
National Evolutionary Synthesis Center
Woodrow Wilson National Fellowship Foundation
Christian R. and Mary F. Lindback Foundation
NASA Space Grant program
Swarthmore College Research Fund
Opportunities for students: I may be hiring one or more summer student researchers in summer 2009. Please email me if you are interested. Due to grant restrictions, eligibility is limited to Swarthmore students. The preferred prerequisite is Stat 61, but some combination of Stat 11, Stat 31, Bio 2, computer programming, or other experience may suffice as well. Learn more about projects and publications by previous students.
Links:  
Paleontology links   |  
Statistics and Mathematics links
Other areas of interest:
Statistical graphics and visualization.
I am interested in how to effectively visualize high-dimensional datasets
using graphical methods such as parallel axis plots and data image plots, and more generally
in principles of effective graphical representation and communication.
Statistical methods in baseball research,
also known as sabermetrics.
I am interested in the analysis of
managerial strategies (featured in the
New York Times and the
Philadelphia Inquirer; also see
here
for additional media coverage).
My MS paper was on a Markov Chain model
for baseball lineups and player evaluation, with advisor
Michael Stein.
Read an
interview with me on the growing use of statistical analysis in baseball.
I was awarded the 2008 Waller Education Award from the American Statistical Association for innovation in the instruction of elementary statistics.
Requesting a letter of recommendation from me? Please read this page first.
Address
Last update: September 8, 2008