BIO 180 FINAL EXAM QUESTIONS AND VERIFIED
ANSWERS
Single Non-Linear Interactions - Answers - ΔP=rP ΔP=rP(1-P/K)
In a linear population model in which there are two different age brackets, τ1,2 would
represent a transition rate describing the fraction of individuals in age bracket 1 that
transition into age bracket 2 each tick of the clock. - Answers - True
In a linear population model in which there are three different age brackets, f3 would
represent a transition rate describing the fraction of individuals who transition into age
bracket 3 each tick of the clock. - Answers - False
Consider the following set of difference equations describing an insect lifecycle in three
life stages: eggs (E), larvae (L), and adults (A).
E(t+1) = 150A(t)
L(t+1) = 0.30E(t)
A(t+1) = 0.20L(t)
In this linear model, how many eggs does each adult produce in one time step? -
Answers - 150
Consider the following set of difference equations describing an insect lifecycle in three
life stages: eggs (E), larvae (L), and adults (A).
E(t+1) = 150A(t)
L(t+1) = 0.30E(t)
A(t+1) = 0.20L(t)
Use this linear model to determine how many larvae there will be after 1 time step if the
system starts with 50 eggs, 3 larvae, and 6 adults. - Answers - Here system starts with
50 eggs, 3 larvae and 6 adults
So, E(0) = 50
L(0) = 3
A(0) = 6
So, After 1 time step,
L(1) = L(0+1) = 0.3 * E(0) = 0.3 * 50 = 15
L(1) = 15
Leslie Model - Answers - time step long enough for all people in each pool to move to
the next pool
Usher Model - Answers - time step short enough that only some people in each pool
move to next
ANSWERS
Single Non-Linear Interactions - Answers - ΔP=rP ΔP=rP(1-P/K)
In a linear population model in which there are two different age brackets, τ1,2 would
represent a transition rate describing the fraction of individuals in age bracket 1 that
transition into age bracket 2 each tick of the clock. - Answers - True
In a linear population model in which there are three different age brackets, f3 would
represent a transition rate describing the fraction of individuals who transition into age
bracket 3 each tick of the clock. - Answers - False
Consider the following set of difference equations describing an insect lifecycle in three
life stages: eggs (E), larvae (L), and adults (A).
E(t+1) = 150A(t)
L(t+1) = 0.30E(t)
A(t+1) = 0.20L(t)
In this linear model, how many eggs does each adult produce in one time step? -
Answers - 150
Consider the following set of difference equations describing an insect lifecycle in three
life stages: eggs (E), larvae (L), and adults (A).
E(t+1) = 150A(t)
L(t+1) = 0.30E(t)
A(t+1) = 0.20L(t)
Use this linear model to determine how many larvae there will be after 1 time step if the
system starts with 50 eggs, 3 larvae, and 6 adults. - Answers - Here system starts with
50 eggs, 3 larvae and 6 adults
So, E(0) = 50
L(0) = 3
A(0) = 6
So, After 1 time step,
L(1) = L(0+1) = 0.3 * E(0) = 0.3 * 50 = 15
L(1) = 15
Leslie Model - Answers - time step long enough for all people in each pool to move to
the next pool
Usher Model - Answers - time step short enough that only some people in each pool
move to next
