20. Modelling Competition Flashcards
Basic logistic model equation without interspecies competition
∂N/∂t = rmax N (K−N/K)
basic logistic model equation with interspecies competition
∂N/∂t = rmax1 N1 ((K1−N1−α12 N2)/K1
Competition coefficient
α
magnitude of negative effects of individuals of one species on individuals of a second species. describes per capita effects
e.g. α21=4 means one individual of species 1 has the same effect as 4 inidividuals of species 2 on the population growth of species 2
α12 = effect of species 2 on species 1
1= same as intraspecific
1> greater effect than intraspecific
1< smaller effect than intraspecific
population level effects
α12 × N2 = effect of size of population 2 on population 1