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Lecture 12 & 13
Test 2
12
Biology
Undergraduate 4
10/16/2011

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Term
ΔN/Δt=rmaxN[(K-N)/K]
Definition

Lotka-Volterra Model

  • Mathematical expression of competing species
  • draws from the logistic population growth model
  • Population size at time t is controlled by population size at N.
  • Controlled by intraspecific competition
Term
Competition Coefficients
Definition

Population Growth of Species 1

ΔN1/Δt=rmaxN1[(K1-N1-αN1)/K1)]

 

Population Growth of Species 2

ΔN2/Δt=rmaxN2[(K2-N2-αN2)/K2)]

 

When N1=K1, then N2=0

 

When αN2=K1, THEN N1=0

Term
Unstable Equilibrium
Definition
Species 1 and 2 can coexist, but environmental variation can cause a decline in either species, thus sending it on a declining trajectory and eventually local extinction
Term
Stable Equilibrium
Definition
Abundances of both species is greater than 0; each species is limited moreo by members of their own species than by members of the other species
Term
Niche Shift
Definition
switched food items and habitat
Term

Increased competition 

(adding interspecific competition)

Definition
caused two of the species to shift to alternate food resources
Term

Tilman's Resource Ratio Competition Model

Mechanistic Model

 

Definition

Predicts the outcome of comepetitive interactions based upon the supplu and depletion of resources in the environment

  • Utilizes niche theory
  • Out come of competition depends upon the ratio of resource supply and the ratio the resources are being used

 

Term
Inputs=Outputs
Definition
Eventually the resource is depleted to some level where the resource supply to the environment is equal to the resource depletion from the environment
Term
Resource Supply Point
Definition
The steady state concentration in the absence of organisms
Term
Depletion of Resources
Definition

ratio of conspution related to population growth

 

 

Term
Resource Ratio
Definition
the ratio the two resources are supplied
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