**EDUCATIONAL BACKGROUND**

University of Tennessee, B.A., 1974

University of Tennessee, M.A., 1976

University of Wisconsin, M.S., 1978

University of Wisconsin, Ph.D.,1982

- Office: Room 522 of the Mathematics Building
- Office phone: 621-5245
- E-mail: jwatkins at math.arizona.edu

12:00 | - 1:00 | Tuesdays | 220 Mathematics |

1:00 | - 2:00 | Wednesdays | 522 Mathematics |

11:00 | - 12:00 | Thursdays | 522 Mathematics |

**TEACHING ACTIVITIES**

2015 Spring Semester

- Mathematics 363 - Introduction to Statistical Methods
- Mathematics 596a - Quantitative Biology Seminar

2014 Fall Semester

2009 Fall Semester

2008 Spring Semester

In addition, I often teach

- introductory statistics,
- graduate courses in probability and statistics

Notes for

- Introduction to the Science of Statistics
- Probability Theory
- Discrete Time Stochastic Processes
- Continuous Time Stochastic Processes
- Theoretical Statistics

**RESEARCH INTERESTS**

My mathematical training is in probability theory and stochastic processes. I now apply this to problems in stochastic modeling of biological phenomena. Here are some examples research projects:

- Collaboration with the Mike Hammer's lab on human evolution
Michael F. Hammer, August E. Woerner, Fernando L. Mendez, Joseph C. Watkins, Murray Cox, and Jeffrey D. Wall (2010) The ratio of human X chromosome to autosome diversity is positively correlated with genetic distance from genes.

*Nature Genetics***42**, 830-831.Michael F. Hammer, August E. Woerner, Fernando L. Mendez, Joseph C. Watkins, and Jeffrey D. Wall (2011) Genetic evidence for archaic admixture in Africa.

*Proceedings of the National Academy of Science***108**, 15123-15128.Krishna R Veeramah, Daniel Wegmann, August Woerner, Fernando L Mendez, Joseph C Watkins, Giovanni Destro-Bisol, Himla Soodyall, Leslie Louie, Michael F Hammer (2012) An early divergence of KhoeSan ancestors from those of other modern humans is supported by an ABC-based analysis of autosomal re-sequencing data.

*Molecular Biology and Evolution***29**, 617-630.Fernando L. Mendez, Joseph C. Watkins, and Michael F. Hammer (2011) Global genetic variation at

*OAS1*provides evidence of archaic admixture in Melanesian populations.*Molecular Biology and Evolution***29**, 1513-1520.Fernando L. Mendez, Joseph C. Watkins, and Michael F. Hammer (2012) A haplotype at

*STAT2*introgressed from Neandertals and serves as a candidate of positive selection in Papua New Guinea.*American Journal of Human Genetics***91**265-274.Fernando L. Mendez, Joseph C. Watkins, and Michael F. Hammer (2013) Neanderthal origin of genetic variation on the cluster of

*OAS*immunity genes.*Molecular Biology and Evolution***30**798-801.Krishna R Veeramah, Ryan N Gutenkunst, August E Woerner, Joseph C Watkins, Michael F Hammer (2014) Evidence for increased levels of positive and negative selection on the X chromosome versus autosomes in humans.

*Molecular Biology and Evolution***31**, 2267-2282. - Work with
Steve Lansing in the
Anthropology Department and Mike Hammer's lab on
Austronesian Societies: Reading Social Structure from the Genome. This
project was funded by an National Science Foundation Human and Social
Dynamics Program.
Joseph C. Watkins (2010) Convergence Time to the Ewens Sampling Formula.

*Journal of Mathematical Biology***60**, 189-206.J. Stephen Lansing, Joseph C. Watkins, Brian Hallmark, Murray P. Cox, Tatiana M. Karafet, Herawati Sudoyo, and Michael F. Hammer (2008) Male dominance rarely skews the frequency distribution of Y chromosome haplotypes in human populations.

*Proceedings of the National Academy of Sciences, USA***105**, 11645-11650.Joseph C. Watkins (2007) Microsatellite Evolution: Markov Transition Functions for a Suite of Models

*Theoretical Population Biology***71**, 147-159.J. Stephen Lansing, Murray P. Cox, Sean S. Downey, Brandon M Gabler, Brian Hallmark, Tatiana M. Karafet, Peter Norquest, John W. Schoenfelder Herawati Sudoyo, Joseph C. Watkins, and Michael F. Hammer (2007) Coevolution of languages and genes on the island of Sumba, eastern Indonesia,

*Proceedings of the National Academy of Sciences, USA***104**16022-16026.Tatiana M. Karafet, J. S. Lansing, Alan J. Redd, Joseph Watkins, I. W. Ardika, S. P.K. Surata, Laura Mayer, Michael Bamshad, Lynn Jorde, Michael F. Hammer (2005) Balinese Y Chromosome Perspective on the Peopling of Indonesia: Genetic Contributions from Pre-Neolithic Hunter-Gatherers, Austronesian Farmers, and Indian Traders,

*Human Biology***77.1**, 93-114.Joseph C. Watkins (2004) The Role of Marriage Rules in the Structure of Genetic Relatedness,

*Theoretical Population Biology***66**, 13-24J.S. Lansing, A.J. Redd, T. M. Karafet, J.Watkins, I.W. Ardika, S.P.K. Surata, J.S. Schoenfelder, M. Campbell, A.M. Merriwether, M.F. Hammer (2004) An Indian Trader in Ancient Bali?

*Antiquity***78**, 287-293. - Theoretical population genetics
Xavier Didelot, Jesse E. Taylor, Joseph C. Watkins (2008) A duality identity between a model of bacterial recombination and the Wright-Fisher diffusion.

*Markov Processes and Related Topics: A Festschrift for Thomas G. Kurtz*Intstitute of Mathematical Statistics Collections**4**, 315-324. - Biophysics models
Brenae L. Bailey, Koen Visscher, and Joseph C. Watkins (2014) A stochastic model of translation with -1 programmed ribosomal frameshifting.

*Physical Biology***11** - Models for moderate
sized structured populations with applications to flour beetles.
Joseph C. Watkins (2000) Consistency and Fluctuation Theorems for Discrete Time Structured Population Models Having Demographic Stochasticity,

*Journal of Mathematical Biology***41**, 253-271 - Through the
Flinn Foundation
and the National Science Foundation sponsorship of the
Biology, Mathematics and Physics Initiative,
Kevin Anderson
completed a dissertation on historical processes in bacterial colonies.
Mendelson, N.H., A. Bourque, K. Wilkening, K.R. Anderson, and J.C. Watkins. (1999) Organized Cell Swimming Motions in

*Bacillus subtilis*Colonies: Patterns of Short-Lived Whirls and Jets.*Journal of Bacteriology***181,**600-609.Kevin R. Anderson, Neil H. Mendelson, and Joseph C. Watkins. (2000) A New Mathematical Approach Predicts Individual Cell Growth Behavior using Bacterial Population Information,

*Journal of Theoretical Biology***202,**87-94. - Work with
Gloria Degrandi-Hoffman of the
Carl Hayden Bee Research Center
on queen development times and the Africanization of the honey bee
population and on the dynamics of swarms. We are also examining the
interaction of honey bees and native bees.

Gloria DeGrandi-Hoffman, Joseph C. Watkins, Anita M. Collins, Gerald M. Loper, Joseph H. Martin, Marias C. Arias, and Walter S. Sheppard, (1998) Queen Development Time as a Factor in the Africanization of the European Bee (Hymenoptera: Apidae) Populations,

*Annals of the Entomological Society of America***91**, 51-58.Gloria DeGrandi-Hoffman, and Joseph C. Watkins, (2000) The foraging activity of honey bees (

*Apis mellifera*L.) and non-*Apis*bees on hybrid sunflowers (*Helianthus arruus*L.) and its influence on cross-pollination and seed set.*Journal of Apicultural Research***39**, 37-45.

- Chair - Graduate Interdisciplinary Program in Statistics
- Chair- HHMI Biomath Committee
- Executive Committee - Computational and Mathematical Modeling of Biomedical Systems

Joseph C. Watkins / Department of Mathematics / Graduate Interdisciplinary Program in Statistics/ Interdisciplinary Program on Applied Mathematics / University of Arizona

last revised January 8, 2015