9.16. (10/23) Competition Flashcards
niche breadth
- variance of organism’s resource use
- can be narrow or broad
niche separation
- distance between resource use for two species
- may be close or far
niche overlap
- area of niche overlap between resource use of two species
- causes interspecific competition
fundamental niche
range of resources usable by an organism when there is no interspecific competition
*true range of resources where this species could survive as long as there were no interactions with other species
realized niche
- resource range used by an organism
- subset of fundamental
competitive exculsion principle
- how much competition is occurring between two species
- two species cannot coexist indefinitely when they rely on the same resource/ niche
what relationship do niche overlap and amount of competition have?
proportional
Why can’t we fully trust numerical models for population?
- simpler
- empirical data and assumptions
- abstract
- human-conceived
Who are Lotka and Volterra?
- 1926
- 1932
- developed the first mathematical models to simulate the effects of interspecific competition on population growth
what is the logistic growth equation?
change in number/time = per capita rate of increase (intrinsic rate of increase) * population size * (K-N/K)
* as n goes to k, rate of change goes to 0
* competition between members of a species increases as N gets closer to K
*models intraspecific competition
What is the equation for modeling interspecific competition?
Species 1: dN1/dt=rmax1N1(K1-N1-α12N2/K1)
Species 2: dN2/dt=rmax2N2(K2-N2-α21N1/K2)
What terms account for the negative effect of interspecific competition?
competition coefficients α12 and α21
What is α12?
effect of species 2 on reducing the abundance of species 1
What is α21?
effect of species 1 on reducing the abundance of species 2
What happens to the negative effect of the competition coefficient when the competitor population increases?
gets stronger
How do we use phase space to model interspecific competition?
number of species on x and y linked through time
What are the steps to using interspecific competition modeling?
- equilibrium point (N1=0, K1-N1-α12N2=0)
2.
species 1 zero growth isocline
N1= K1-α12N2
negative line
what does the lotka-volterra model assume?
allopatric
sympatric
character displacement
- islands
- specialize