Lotka-Volterra and growth

Question 1

Geometric growth equation

Answer 1

Nt = lambda^t X No

lambda = geometric rate of increase
t = year 
No = original population size

Question 2

Exponential growth equation

Answer 2

Nt = No X e^rt

No = original population size 
r = growth rate 
t = year

Question 3

Rate of exponential population increase equation

Answer 3

dN/dt = rN

Question 4

Logistic growth model growth rate equation

Answer 4

dN/dt = rmax X N(1-N/K)

Question 5

1 - N/K

Answer 5

unused portion of the carrying capacity

Question 6

Allee effect (logistic growth model)

Answer 6

problem - extremely low values of N (population nearing extinction), growth rate at highest

Question 7

Lotka-Volterra models

what is on which axis?

Answer 7

K1 on x axis
K2 on y axis
K1/alpha12 on y axis
K2/alpha21 on x axis

Question 8

what is K1/alpha12?

Answer 8

competition coefficient of K1

Question 9

what is K2/alpha21?

Answer 9

competition coefficient of K2

Question 10

K > K alpha

Answer 10

both species have more of an effect on others than selves

Question 11

K < K alpha

Answer 11

both species have more of an effect on selves than others

Question 12

formula for alpha21

Answer 12

= (K2-N2)/N1

Question 13

formula for alpha12

Answer 13

= (K1-N1)/N2

Question 14

when K1 & K2 on inside =

Answer 14

stable