Equations

Question 1

Lincon Peterson Estimator

Question 2

What is the BIDE Model

Answer 2

Nt+1 = Nt + B + I - D -E

• Population size is affected by only the 4 primary population parameter
• Density-independent (D-I) occur when BIDE do not change as Nt changes

Nt+1 = Nt + Birth + Immigration – Death - Emigration

Question 3

Compare population @ 2 times

Answer 3

Discrete

λ=Nt + 1 / Nt

Question 4

Determin difference between b & d

Answer 4

Continuous

r= b-d or r= (b+i) - (d+e)

Question 5

Move between Discrete and Continuous

Answer 5

λ = e^rand r=lnλ

Question 6

Logistic Growth

Answer 6

• Incorporates the concept of carrying capacity
• The Verhelst- pearl equaion

→dN/dt =Nr_m (1-N/K)

-Establishes realized rate o growth as reduced by “environmental resistance”

→r_realized= r_m (1-N/K)

Question 7

The Ricker Modle

Answer 7

• A discrete-time form of the logistic mo
• Used in many fisheries and wildlife applications
• Verhult-Pearl N_t = K/1 +(K-N₀/N₀) e^rt
• N_t= N₀ e^rm (1-N/K)t

Question 8

Linear Density - Dependence

Answer 8

• Rearranging r_realized= -r_m(1-N/K)
• Gives us r_realized= r_m/KN+r_max
• The equation of a line the “standard” logistic modle assumes linear density-dependence

Question 9

Non-linear Density-Dependence

Answer 9

• Can be incorperated by the Theats Logistic model r=r_m(1-(N/K)^θ
• What is does θ>1 indicate?

→Density has little influence on rate until pupilation nears K

→Weak density-dependence

Question 10

Time-lagged Density-Dependence

Answer 10

-Simplu change the N in the realized rate of growth to a value at an earlier time step

r= r_m (1-(N_t-τ/K)θ)

Question 11

Nt+1 = Nt + B + I - D -E

• Population size is affected by only the 4 primary population parameter
• Density-independent (D-I) occur when BIDE do not change as Nt changes

Nt+1 = Nt + Birth + Immigration – Death - Emigration

Answer 11

What is the BIDE Model

Question 12

Discrete

λ=Nt + 1 / Nt

Answer 12

Compare population @ 2 times

Question 13

Continuous

r= b-d or r= (b+i) - (d+e)

Answer 13

Determin difference between b & d

Question 14

λ = e^rand r=lnλ

Answer 14

Move between Discrete and Continuous

Question 15

• Incorporates the concept of carrying capacity
• The Verhelst- pearl equaion

→dN/dt =Nr_m (1-N/K)

-Establishes realized rate o growth as reduced by “environmental resistance”

→r_realized= r_m (1-N/K)

Answer 15

Logistic Growth

Question 16

• A discrete-time form of the logistic mo
• Used in many fisheries and wildlife applications
• Verhult-Pearl N_t = K/1 +(K-N₀/N₀) e^rt
• N_t= N₀ e^rm (1-N/K)t

Answer 16

The Ricker Modle

Question 17

• Rearranging r_realized= -r_m(1-N/K)
• Gives us r_realized= r_m/KN+r_max
• The equation of a line the “standard” logistic modle assumes linear density-dependence

Answer 17

Linear Density - Dependence

Question 18

• Can be incorperated by the Theats Logistic model r=r_m(1-(N/K)^θ
• What is does θ>1 indicate?

→Density has little influence on rate until pupilation nears K

→Weak density-dependence

Answer 18

Non-linear Density-Dependence

Question 19

-Simplu change the N in the realized rate of growth to a value at an earlier time step

r= r_m (1-(N_t-τ/K)θ)

Answer 19

Time-lagged Density-Dependence

Question 20

Cannaonical Formula

Answer 20

Nhat= C/Phat