BIOL 370 Part II Flashcards
(410 cards)
percent of population persisting vs time
-populations less than 100 have low probability of persisting >50 years
negative density dependence
- population growth is negatively effected by its density
- examples: crowding, predators and competition
sources of variation in population growth
- environmental stochasticity
- demographic stochasticity
stochasticity
- model in which parameters vary unpredictably with time
- random, chance events in nature
environmental stochasticity
- unpredictable environmental changes
- NOT: predictable ∆ like seasons; env’t trends
geometric mean
(π λ_i) ^ 1/n
incorporating stochasticity into population growth model implication
- makes pop growth slower than expected form constant growth
- variance in N_t increases w/ time
- variance in N_t proportional to both mean, variance of r
Extinction from environmental stochasticity likely if
var(r) >2r
var(r) is greater than 2r
what does a per capita birth rate of 0.2 mean
- for every z individuals we expect 0.2z new offspring in a year
- eg. 20 in a pop of 100
P_birth
= b/(b+d)
populations with high b and d
much higher demographic stochasticity than ones w/ low rates, even for same r
what changes in demographic stochasticity
only b and d, r stays same
P_death
= d/ (b+d)
P_extinction
= (d/b)^No
density dependence
birth and death rates are affected by density
the simplest model of density dependence
logistic growth
logistic growth assumptions
- linear density dependence in vital rates (b, d)
- decline in per-capita growth as density increases (negative dd)
exponential growth
dn/dt = rN_t
intrinsic rate of population increase r
r = per capita births b’ - per capita deaths d’
exponential growth with intrinsic pop growth
dN/dt = (b’-d’)N_t
exponential vs logistic growth, N vs t
exp: exponentially increasing
log: S-shape, increase to asymptote
exponential vs. logistic, dN/Ndt vs N
exp: linear (flat)
log: linear decreasing
logistic growth
dN/dt = rN_t (1 - (N_t / K)
theta logistic population growth
dN/dt = rN(1-(N/K) ^ θ)