Lecture 4 - Density dependence, intraspecific competition Flashcards
logistic growth happens ..
after exponential l ----------- (K) l / (-ve feedback) l / (exponential) l -----/ \_\_\_\_\_\_\_\_\_\_\_ y= pop size x= time
logistic growth equation
dN/dt = rN (K-N/K)
equilibrium needs
persistence
stability
coexistence
density dependence = linear
human population growth
more extreme than exponential, we manipulate environment
per capita exponential rate
(dN/dt) = rN = r
______ ____
N N
divide growth equation by pop size
horizontal line
no density dependence
per capita logistic rate
(dN/dt) = rN - (rN^2/K)
______ ____ _______ = r - r / K * N
N N N
negative slope line
density dependence
assumptions of logistic model
- density dependence linear
- pop approaches K smoothly - but may overshoot, time delay
- K is constant - but there are yearly variations
doesn’t apply to all populations, model if framework to compare
r and K selected species
selection acts on indvs not on r and K (population level parameters)
high density
K selected
high competition, low resources
large, few offspring, long lived
delayed reproduction
low density
r selected
many, small offspring, short lived
early reproduction