Lecture 7 Population Growth part 1 Flashcards
Sampling
Transect and quadrat method
Density
number of individuals/ areas of quadrat
Mark-recapture method
Step 1. Capture, mark, and release M individuals.
Step 2. Recapture another set of n individual later
Step 3. Count how many n was marked from before, m
N = estimated population size. N/M = n/m
N
population density or size
dN/dt
rate of change of population size
Closed population
immigration and emigration negligible; changes dominated by births and deaths.
Open population
immigration and emigration substantial
Exponential growth solution
N(t)=Noe^rt
t = Number of individuals at time t
What controls population keeps them at finite sizes?
Density dependent factors
per-capita fecundity often
decreases with density.
per-capita mortality often
increases with density.
Logistic population growth
Assume per-capita growth rate decreases linearly with density i.e. replace r with r(1-N/K) where r: intrinsic rate of growth (y-axis) and K is the carrying capacity. The higher the N value it will ultimately lead to negative growth rate.