Title: Read the tutorial reading and guidelines before tutorial
1Read the tutorial reading and guidelines before
tutorial Available on web (http//myweb.dal.ca/agh
orn/biol3062/) TUTORIAL ASSIGNMENTS
STUDENTS DAY ROOM Abdalla -
Beaton Wed. LSC 332 Beauchamp -
Douglas-Farrell Fri. LSC 332 D'Souza -
Griffiths Wed. LSC 4258 Grondin -
Lilly Fri. LSC 4258 Ljungqvist -
Oldford-MacLellan Wed. LSC 5263 Onions -
Shams Fri. LSC 5263 Shears -
Tower Wed. LSC 4263 Tupper-Ring -
Zeggil Fri. LSC 4263
2OPTIMALITY MODELS
Balance costs and benefits
Lay out logic in a transparent way
Make quantitative (precise) predictions tests
Two general approaches optimality models for
one individual game theory models for gt 1
individual
3How to do an optimality model
1. Define the behaviour as a simple decision
What size mussel should be preferred?
2. Define constraints
Benefit and cost curves
3. Choose currency
Profitability (energy gained / time)
4How to do an optimality model
1. Define the behaviour as a simple decision
How close should a tern dive at a fox?
2. Define constraints
Benefit and cost curves
3. Choose currency
Fitness
5Fitness -gt
Optimum
Benefit
Cost
Distance to predator -gt
6ESS Evolutionarily Stable Strategy
Found using game theory
Optimum behaviour depends on what other animals
are doing
Explains many situations where theres a balance
of different behaviours
7Cautious
Relative fitness -gt
ESS
Daring
All daring
All cautious
Proportion of cautious mobbers in population -gt
8Evolutionarily stable strategy (ESS)
A strategy (behaviour or mix of behaviours) that,
when adopted by most members of the population,
cannot be beaten by any other strategy in the
game.
9Components of an ESS model
1. Players
2. Strategies
3. Pay-offs
4. ESS -- the strategy that cant be invaded by
any other (i.e. it will persist)
10Pay-off matrix
Reactor
D
L
W
Actor
W
D
L
L
W
D
11tough -gt big territory
female colour -gt sneak matings
small territory -gt well defended
12How to find the ESS
1. Calculate pay-offs of each strategy
2. Set pay-offs equal or walk through logic
of pay-off matrix
3. ESS may be a) proportion of individuals
doing behaviour b) proportion of times
individuals do behaviour
13PROS CONS OF OPTIMALITY MODELS
Explicit, Testable, Precise
General
CON
Hard to tell if model is wrong
- - test might be insensitive
- - model might just need tweaking
- fit might be good enough
- - or approach might be wrong