Spring 1999

IMA Workshop:

From Individual to Aggregation: Modeling Animal Grouping

June 7-11, 1999

Organizers:

Leah Edelstein-Keshet
Mathematics Department
University of British Columbia
http://www.math.ubc.ca/people/faculty/keshet/keshet.html
keshet@math.ubc.ca

Simon A. Levin
Department of Ecology and Evolution Biology
Princeton University
simon@eno.princeton.edu
http://www.eeb.princeton.edu/~simon/

and

Mark Lewis
Department of Mathematics
University of Utah
mlewis@math.utah.edu
http://www.math.utah.edu/~mlewis/

Schedule	Participants	Registration
Material from IMa Workshop

Patterns of aggregation, including schools of fish, flocks of birds, and herds of ungulates, are among the most striking patterns in biology. How do such patterns arise from decisions taken at the level of individuals? A promising approach begins from Lagrangian (e.g. Newtonian) descriptions of individual responses to the environment and to each other, derives macroscopic descriptions, and proceeds to Eulerian descriptions. The mathematical issues will involve Lagrangian/Eulerian connections, moment closure and other methods for proceeding from small to large scales.

WORKSHOP SCHEDULE

All talks are in Lecture Hall EE/CS 3-180 unless otherwise noted.

MONDAY, JUNE 7
8:30 am	Registration and Coffee	Reception Room EE/CS 3-176
9:10 am	Fadil Santosa, Fred Dulles, and Simon A. Levin	Introduction
9:30 am	Mark Lewis University of Utah	Workshop Overview
10:00 am	Hidekatsu Yamazaki Tokyo University of Fisheries	Lagrangian Simulation of Planktonic Swimming Behaviours
11:00 am	Coffee Break	Reception Room EE/CS 3-176
11:30 - 12:30 pm	Daniel Grunbaum University of Washington	Population-level Advection-Diffusion Equations for Biased Random Walks by Individuals and Groups
Short Talks
2:00 pm	Christopher Cosner University of Miami	The Effects of Spatial Grouping on the Functional Response of Predators
2:15 pm	Frithjof Lutscher Universitaet Tubingen	A Simple Model for Schooling Fish and its Effect on Predation
2:30 pm	James Watmough University of Victoria	Can PDE Models Describe Migratory Locust Swarms?
2:45 pm	Coffee Break	Reception Room EE/CS 3-176
3:00 pm	Odo Diekmann Utrecht University	Reflections on Epidemic Models
3:30 - 4:00 pm	Steven Ellner North Carolina State University	Spatial Dynamics and Persistence in a Model Tri-trophic System |Talk
4:15 pm	IMA Tea	IMA East, 400 Lind Hall A variety of appetizers and beverages will be served.
TUESDAY, JUNE 8
9:15 am	Coffee	Reception Room EE/CS 3-176
9:30 am	Will Wilson Duke University	Consuming, Grouping, and Coexisting
10:30 am	Coffee Break	Reception Room EE/CS 3-176
11:00 - 12:00 pm	Mercedes Pascual University of Maryland	Determinism and Spatial Scale: Aggregating Individuals into Densities in Oscillatory Systems
Short Talks
2:00 pm	Donald B. Olson University of Miami	Aggregation and Aggretion
2:30 pm	Victor Padron Universidad de Los Andes	Effect of Aggregation on Population Recovery Modeled by a Diffusion-Advection Equation
2:45 pm	Emily Silverman University of Washington	Mixed-Species Aggregations of Waterfowl
3:00 pm	Carl Simon University of Michigan	Favored Places in the Selfish Herd
3:15-3:30 pm	Sharon R. Lubkin North Carolina State University	Chemotactic Bacterial Pattern Formation
3:45 pm	Informal Video Session	IMA East Seminar room, Lind Hall 409
WEDNESDAY, JUNE 9
8:45 am	Coffee	Reception Room EE/CS 3-176
9:00 am	Karl-Peter Hadeler University of Tübingen	Reaction Transport Equations as Models for Spread and Reactions
10:00 am	Angela Stevens Max-Planck-Institute for Mathematics in the Sciences	Hyperbolic v Parabolic Models for Chemotaxis (Individual and Population Density Based Models) |Talk
11:00 am	Coffee Break	Reception Room EE/CS 3-176
11:30 - 12:30 pm	Hans G. Othmer University of Utah	Continuum Taxis Equations Based on Individual Behavior
1:30 - 6:30 pm	David Tilman University of Minnesota	Field Trip to the Cedar Creek Natural History Area This will be a trip led by Professor Tilman to see a research facility he directs located north of the Twin Cities. See http://www.lter.umn.edu/ for more details about this site. Driving time will be about 50 minutes each way and the group will leave at 1:30 pm from the lobby of the Radisson Metrodome.
THURSDAY, JUNE 10
9:15 am	Coffee	Reception Room EE/CS 3-176
9:30 am	Paulien Hogeweg University of Utrecht	From Individual Decisions to Aggregates and from Aggregates to Indivudual Dicisions
10:30 am	Coffee Break	Reception Room EE/CS 3-176
11:00 am - 12:00 pm	Shay Gueron Technion - Israel Institute of Technology	Birth and Death Processes and Mass Action Laws in Biology and Chemistry: AN Interacting Particle Systems Approach
2:00 pm	Vincenzo Capasso University of Milan	From the Individual Behaviour Subject to Stochastic Fluctuations to the PIDE Describing The Global Behaviour Of an Aggregating Population
3:00 pm	Coffee Break	Reception Room EE/CS 3-176
Short Talks
3:30 pm	Sandy Anderson University of Dundee	From Populations to Indviduals: Applications of Continuum and Discrete Models in Cancer Growth
3:45 pm	Ricardo Diaz University of Northern Colorado	Flocking Kinematics and Nonlinear Fluid Flow Equations: Some Exact Analytic Solutions
4:00 pm	Ulrike Schuldenzucker University of Bonn	From a Skein of Individuals to Partial Integro-Differential Equations
4:15 - 4:30 pm	Thomas Hillen University of Utah	Moment Closure of Reaction Transport Equations
6:00 pm	Workshop Dinner	Dinner will be catered by Cossetta's, a local Italian Restaurant. It will be held outside on the east side of Lind Hall and will feature a variety of Italian entrees and salad.
FRIDAY, JUNE 11
9:15 am	Coffee	Reception Room EE/CS 3-176
9:30 am	Alexander Mogilner University of California-Davis	Quantitative Modeling of Bacterial Aggregation Based on `Energy Taxis' |Talk
10:30 am	Coffee Break	Reception Room EE/CS 3-176
10:45 - 11:45 am	Paul Moorcroft Princeton University	Mechanistic Models for Animal Home Ranges
11:45 am - 12:15 pm	Leah Edelstein-Keshet University of British Columbia	Workshop Summary |Summary

Monday

Tuesday

Wednesday

Thursday

Friday

LIST OF CONFIRMED PARTICIPANTS

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