Exam 2 Equations Flashcards
When do you use M/N=R/C ?
Mark recapture studies
When do you use Nt = Noλ?
Geometric growth
measures growth from one season to the next
When do you use Nt = Noert
used to predict N at a time in the future for exponential growth
Nt = pop size after time (t). No= initial pop size, r= growth rate)
When do you use dN/dt = rN ?
used for exponential growth.
Change in population/Change in time = growth rate (r) * initial population size (N)
dN/dt = rN(1-N/K)
used for Logistic growth (K = carrying capacity)
r = b-d
exponential growth rate (b = birth rate, d=death rate)
for unequal interspecific competition (a (alpha) = effect of individuals of species 2 have on the population growth of species 1)
dN/dt = rN-aNP
change in prey population over time
(a = capture efficiency of predators. P = # predators, N = # of prey)
dP/dt = baNP-mP
change in predator population over time
(a = capture efficiency of predators, b = efficiency w/ which prey are converted to predator offspring, m = mortality rate of predators, P = # predators, N = # of prey)
for unequal interspecific competition (beta = effect of individuals of species 1 have on the population growth of species 2)