Midterm 2 Flashcards
Exponential growth
dN/dt = rN
(change in population size/per unit time)= equals intrinsic growth rate* current population size
Exponential growth under pop size
Nt=N0e^rt
(pop size at time t)=(starting pop size)(base of natural log: 2.718)(intrinsic growth rate multiplied by time)
r>0
birth rate is higher than death rate, gets steeper as time goes on
r=0
no change
r<0
population declines quickly
Mark-recapture
capture some individuals & visually tag or mark them, release marked animals, wait long enough for them to evenly spread throughout population, recapture 2nd set of individuals, see how many are marked
N=MC/R
N: total population size
M: # caught, marked & released (1st sampling)
C: # caught in (2nd sampling)
Density-independent controls
Factors affecting population size that DO NOT depend on # of organisms in population, usually abiotic factors (Storms, drought)
Density-dependent controls
Factors affecting population size that DO depend on # of organisms, usually biotic factors, prevent population from growing forever, (Disease, predation, limited resources(space))
Logistic Growth
dN/dt = rN0[(K - N0) / K]
change in population equals intrinsic growth rate times current population size times a factor that shrinks as population approaches K
N0 is large
(K-N0)=0, (K-N0)/K=0, growth is slow
N0 is small
(K-N0)/K=1, growth is mostly exponential
Population size under logistic growth
Nt=(K)/1+[(K-N0)/N0]e^-rt
As N0 nears K, (k-N0) becomes 0
Larger r will take less time (t)
K
environmental carrying capacity
Survivorship (I_x)
proportion of individuals surviving from birth to age class x
l_x= N_x / N_0 (# individuals / original population)