https://users.soe.ucsc.edu

Marc Mangel's Home Page

     * [1]Home
     * [2]Publications
     * [3]Research
     * [4]Biography
     * [5]Research group
     * [6]CSTAR
     * [7]Courses
     * [8]Religion and Science
     * [9]Consulting
     * [10]Books
     * [11]Miscellaneous
     * [12]Lab Photos

Interests

   I am Distinguished Professor of Mathematical Biology Emeritus in the Department
   of Applied Mathematics at the University of California Santa Cruz and Professor
   of Biology Emeritus in the Theoretical Ecology Group ([13]Visit the TEG) at the
   University of Bergen, Norway. In my first job out of graduate school, I worked
   for the Operations Evaluation Group (OEG, [14]OEG) of the Center for Naval
   Analyses doing operations research for the Navy. I moved to UC Davis in 1980 with
   the intention of doing OEG-style work, but with applications to fisheries and
   agriculture, and to UC Santa Cruz in 1996. I retired from formal teaching and
   administrative work in 2013 but continued an active research program with
   extramural grant support through 2022 and continue to do research. I am broadly
   interested in using mathematical methods to solve problems that arise in biology
   (especially ecology, evolution, and behavior) and work in what Donald Stokes
   called, in a wonderful book of the same name, Pasteur's Quadrant of use-inspired
   research, where a search for fundamental understanding is motivated by an
   important applied problem

Current Research Projects

   In addition to a long-standing collaborative project on reproductive biology of
   rockfish species, I have three current research projects.

   Modeling he Organism in Its World : It is my opinion that state dependent life
   history theory as implemented by stochastic dynamic programming (and illustrated
   in my books and papers) will remain a very powerful tool for understanding the
   behavior of organisms in their worlds. At the same time, it is not likely that
   organisms do stochastic dynamic programming in their brains, and for many years I
   have collaborated with colleagues at the University of Bergen to seek alternative
   methods with higher fidelity to nature for modeling how organims make decisions.
   Some of the papers on this topic are

   [15]2003 Giske, J., Mangel, M., Jakobsen, P., Huse, G., Wilcox, C. and E. Strand.
   Explicit trade-off rules in proximate adaptive agents. Evolutionary Ecology
   Reseach 5:835-865.

   [16]2013 Giske, J., Eliassen, S., Fiksen, O., Jakobsen, P.J., Aksnes, D.L.,
   Jorgensen, C., and M. Mangel. Effects of the emotion system on adaptive behavior.
   The American Naturalist 182:689-703

   [17]2014 Giske,J., Eliassen, S., Fiksen,O., Jakobsen, P.J., Aksnes,D.L., Mangel,
   M. and C. Jorgensen The emotion system promotes diversity and evolvability.
   Proceedings of the Royal Society B 281 20141096

   and (which is the best introduction to our work)

   [18]2019 Budaev, S., Jorgensen, C., Mangel, M., Eliassen, S., and J. Giske.
   Decision-making from the animal perspective: Bridging ecology and subjective
   cognition. Frontiers in Ecology and Evolution. May 2019, Volume 7, Article 164.
   There are many other papers on this topic on which I am not a co-author; they can
   be found at the ([19]web site of the Theoretical Ecology Group in Bergen ).

   I am working on a new version of the models with the goal of simplifying the
   computational methods in order to make them more generally accessible and
   applying the approach to a wider variety of organisms (including plants) to help
   people see the broad sweep of these ideas. My first motivation is habitat
   selection, with desert isopods as a motivating species; my second motivation is
   octopuses. I am deep into the modeling work on isopod habitat selection and
   learning about octopuses. In addition, with colleagues in Bergen, I am part of a
   team developing a digital twin for salmon. This work started in summer 2023, so
   stay tuned for results.
   Seabirds as Samplers: The Inverse Behavioral/Life History Problem for Fishery
   Management Assessing the current status of a fish stock will always be important
   for determining catch levels in fisheries. It is my opinion that advanced
   statistical methods will continue to play important roles for this question.
   However, there are also opportunities to explore novel approaches. One of these
   is the inverse behaviorial and life history problem. The basic idea is that with
   a life history model, we specify the environment and use methods such as state
   dependent life history to predict behavior and life history transitions. The
   inverse problem consists of starting with the behavior or life history
   transitions and inferring the environment from these, by comparing model
   predictions from different environments with the observations. An example of this
   is, concerning the rate of natural mortality, is this:

   [20]2017 Mangel, M. The inverse life-history problem, size-dependent mortality
   and two extensions of results of Holt and Beverton. Fish and Fisheries. DOI:
   10.1111/faf.12247

   I am now developing methods to infer the abundance of food in a three patch
   model. This work also started in summer 2023, so results to come.
   Population Biology and Cybersecurity : Between 2018 and 2023 , I collaborated
   with colleagues at the Johns Hopkins University Applied Physics Laboratory on
   using models from population biology to inform various aspects of cyber-security.
   In June 2020, like many of my colleagues, I worked with colleagues at APL think
   about testing for covid-19, both at APL and in Howard County, MD (where APL is
   located) more generally. They cyber work with APL colleagues has appeared here:

   [21]2021 Mangel, M. and J. McEver. Modeling coupled nonlinear multilayered
   dynamics: Cyber attack and disruption of an electric grid. Complexity Research
   Article Modeling Coupled Nonlinear Multilayered Dynamics: Cyber Attack and
   Disruption of an Electric Grid doi.org/10.1155/2021/5584123

   [22]2022 Mangel, M. and A. Brown. Population processes in cyber system
   variability. PLoS ONE 17(12): e0279100. doi 10.1371/journal/pone.0279100
   I am also writing a book for World Scientific Publications on population biology
   and cyber security.

   The covid-19 work appeared as two APL reports and a journal article:

   [23]2021 Brown, A. and M. Mangel. Operational Analysis for Coronavirus Testing.
   Recommendations for Practice. Report, National Security Analysis Division, Johns
   Hopkins University Applied Physics Laboratory

   [24]2021 Mangel, M. and A. Brown. Operational Analysis for Coronavirus Testsing.
   Report, National Security Analysis Division, Johns Hopkins University Applied
   Physics Laboratory

   [25]2023 Mangel, M. COVID-19. PLos ONE 18(2) e0281710 doi
   10.1371/journal/pone.0281710

My Approach to Mathematical Biology

   I use mathematical models, experiments, and field observations to understand
   organisms and how interact with each other and the rest of the environment. I
   have worked on a variety of systems, including insect parasitoids, tephritid
   fruit flies, marine mammals, southern ocean krill, steelhead trout, Pacific
   rockfish, and planaria. You can find out more details about what I have done by
   looking at my publications page.

Contact Information

   Department of Applied Mathematics
   University of California
   Santa Cruz, CA 95064
   Email: [26]msmangel@ucsc.edu

   [27]Publications
   [28]Research
   [29]Biography
   [30]Research group
   [31]CSTAR
   [32]Courses
   [33]Religion and Science
   [34]Consulting
   [35]Books [36]Miscellaneous
   skrbl now
   [manypics.jpg]

   [37]Home [38]Publication [39]Research [40]Biography [41]Research group [42]CSTAR
   [43]Courses [44]Religion and Science [45]Consulting [46]Books [47]Miscellaneous

References

   1. https://users.soe.ucsc.edu/~msmangel/index.html
   2. https://users.soe.ucsc.edu/~msmangel/pubs1.html
   3. https://users.soe.ucsc.edu/~msmangel/research.htm
   4. https://users.soe.ucsc.edu/~msmangel/cv.htm
   5. https://users.soe.ucsc.edu/~msmangel/training.htm
   6. https://users.soe.ucsc.edu/~msmangel/CSTAR.html
   7. https://users.soe.ucsc.edu/~msmangel/course.htm
   8. https://users.soe.ucsc.edu/~msmangel/religion.htm
   9. https://users.soe.ucsc.edu/~msmangel/consulting.htm
  10. https://users.soe.ucsc.edu/~msmangel/books.htm
  11. https://users.soe.ucsc.edu/~msmangel/miscellaneous.html
  12. https://users.soe.ucsc.edu/~msmangel/pictures.html
  13. http://bio.uib.no/te/
  14. https://www.cna.org/centers/cna/operations-evaluation/
  15. https://users.soe.ucsc.edu/~msmangel/Giske%20et%20al%202003.pdf
  16. https://users.soe.ucsc.edu/~msmangel/Giske%20et%20al%20Am%20Nat%202013.pdf
  17. https://users.soe.ucsc.edu/~msmangel/Giske%20et%20al%20PRSB%202014.pdf
  18. https://users.soe.ucsc.edu/~msmangel/Budaev%20et%20al%202019.pdf
  19. http://bio.uib.no/te/
  20. https://users.soe.ucsc.edu/~msmangel/Mangel%202017%20Ghoti.pdf
  21. https://downloads.hindawi.com/journals/complexity/2021/5584123.pdf
  22. https://users.soe.ucsc.edu/~msmangel/Mangel%20and%20Brown%202022%20Population%20processes.pdf
  23. https://users.soe.ucsc.edu/~msmangel/Brown%20and%20Mangel%202021%20Covid%20testing.pdf
  24. https://users.soe.ucsc.edu/~msmangel/Mangel%20and%20Brown%202021%20Operations%20Analysis%20for%20Coronavirus%20testing.pdf
  25. https://users.soe.ucsc.edu/~msmangel/Mangel%202023%20COVID-19.pdf
  26. mailto:msmangel@ucsc.edu
  27. https://users.soe.ucsc.edu/~msmangel/pubs1.html
  28. https://users.soe.ucsc.edu/~msmangel/research.htm
  29. https://users.soe.ucsc.edu/~msmangel/cv.htm
  30. https://users.soe.ucsc.edu/~msmangel/training.htm
  31. https://users.soe.ucsc.edu/~msmangel/CSTAR.html
  32. https://users.soe.ucsc.edu/~msmangel/course.htm
  33. https://users.soe.ucsc.edu/~msmangel/religion.htm
  34. https://users.soe.ucsc.edu/~msmangel/consulting.htm
  35. https://users.soe.ucsc.edu/~msmangel/books.htm
  36. https://users.soe.ucsc.edu/~msmangel/miscellaneous.html
  37. http://users.soe.ucsc.edu/~msmangel/index.html
  38. http://users.soe.ucsc.edu/~msmangel/pubs1.html
  39. http://users.soe.ucsc.edu/~msmangel/research.htm
  40. http://users.soe.ucsc.edu/~msmangel/cv.htm
  41. http://users.soe.ucsc.edu/~msmangel/training.htm
  42. http://users.soe.ucsc.edu/~msmangel/CSTAR.html
  43. http://users.soe.ucsc.edu/~msmangel/course.htm
  44. http://users.soe.ucsc.edu/~msmangel/religion.htm
  45. http://users.soe.ucsc.edu/~msmangel/consulting.htm
  46. http://users.soe.ucsc.edu/~msmangel/books.htm
  47. http://users.soe.ucsc.edu/~msmangel/miscellaneous.html