r vs k
r = growth rate: how quickly a pop increases early on
k = carrying capacity: how many indiv a pop can hold
Nₜ = N₀ert
predicting population size under exponential growth
methods of predicting population growth
2.
proportion of indiv marked in 2nd sampling should = proportion of full pop
N = total pop size
M = # of 1st sampling
C = # of 2nd sampling
R = # marked indiv recaptured in 2nd sampling
controls on pop size
density independent: factors do not depend on pop density
- factors affect in same way at same magnitude
- usually abiotic:
- strong enough to survive…
density dependent: factors do depend on pop density
- stronger impact on pop with more indiv
- usually biotic:
pop density
org living in that pop (same area)
logistic growth pattern
when a pop is large (close to k): growth slows
- K ≈ 0
- r ≈ 0 ➞ growth is slow
when a pop is small: slow growth that follows mostly exponential pattern
- K ≈ 1
- growth is exponential
predicting pop size under logistic growth
life tables
sets of data give an idea of how the pop is changing through time based on patterns of survival & reproduction
age demographics and r
r correlates to the proportion of indiv in their reproductive ages
human demographic transition
predictable pattern that human societies & pop tend to follow
humans are unusual compared to other species
birth rate is below death rate
Aristotle
species are static & deviations of ‘ideal’ are mistakes
Zhuang Zhou
species change over time, even into other species
development of understanding evolution
contrast in thought between static & changing species
Al-Jahiz
species can change based on envir
Al-Biruni
limited resources limit # of indiv in a given envir
Ibn Khaldun
descent w/ modification
Linneas
life is static
Alexander Von Humbolt
catastrophism
earth/life shaped by major sudden events
gradualism
earth/life structured by long, slow processes
George Cuvier