Quiz 8 Flashcards
Density dependent: Compensatory
-per capita recruitment declines with increasing size of spawning stock
Density-dependent: Overcompensatory
- recruitment really declines with high stock
- EX: when cannibalism occurs, or disease outbreaks due to overcrowding
Density-dependent: Depensatory
-per capita recruitment drops when stock goes below a certain level
Density-dependent model: Beverton-Holt model
R = @S/B+S
- alpha times stock dived by beta + stock
- as S gets large, R approaches alpha
- one of the more freq used models
Density dependent model: Ricker model
R=@Se_(-BS)
- alpha is the slope of the curve near 0
- as S gets large, e-(-BS) gets very small
- one of more freq used models
Error that can occur when measuring stock size
measurement error
How can fish stocks recover
-overfishing must be ceased
Hilborn and Walters warnings
- Warning 1: do not blindly believe the average behavior predicted by models
- Warning 2: do not ignore the variability in the real data - use it to generate estimates of variance
Carrying capacity
K = (b_0 - d_0)/(a+c)
-represents the max pop size supportable in a given environment
Logistic growth model
(dN/dt) = rN(1 - (N/K))
1 - (N/K) is the “unused portion of carrying capacity
-created by P. F. Verhulst
Assumptions of the logistic model
- no time logs
- no migration
- no genetic variation
- no age structure in pop
- K is constant
Stable limit cycle
- When (r * t) is greater than 1.57
- pop oscillates up and down in regular cycles
Discrete population growth model
- breaks up time into discrete chunks
- keeps track of time chunks by calling them t
Robert May
-famous ecologist that studied time-lagged and discrete versions of the logistic growth model
Chaos
-situation where the model is extremely sensitive to the initial starting conditions