3. Construct tables of age distribution for the population described below, one showing the number of individuals for each age class at each time t and another showing the proportions of individuals for the different age classes at different times until such time that stable age distribution is reached Given: Initial population size (No) 100,000,000 individuals of age class o Age class (X) = 0, 1, 2, 3, 4, and 5 Survival probabilities (Px) = Po = 0.75; P1 = 0.85; P2 = 0.80; P3 = 0.60; P4 = 0.42; P5 = 0 Birth rates (bx) = bo = 0; b1 = 0.52; b2 = 0.60; b3 = 0.40; b4 = 0.30; b5 = 0.20 a) Calculate the proportion of each age class in each time unit to 6 decimal places, rounded off, and base the time of stable age distribution on the last decimal place. Show calculations for at least t = 1,2, and 3 of the population. b) Find the number of generations required for the population to attain stable equilibrium. Let the population be in equilibrium if changes from one generation to the next is less than 0.0001 Steps: (1) Find Nxt which is the number of individuals of age x at time t. (2) Find/compute the proportion of age at time t (e.g. Nxt / Nt) (3) Calculate population size at time t. (4) Find the rate of change in the population ( Nt / Nt-1 ) 3. Construct tables of age distribution for the population described below, one showing the number of individuals for each age class at each time t and another showing the proportions of individuals for the different age classes at different times until such time that stable age distribution is reached Given: Initial population size (No) 100,000,000 individuals of age class o Age class (X) = 0, 1, 2, 3, 4, and 5 Survival probabilities (Px) = Po = 0.75; P1 = 0.85; P2 = 0.80; P3 = 0.60; P4 = 0.42; P5 = 0 Birth rates (bx) = bo = 0; b1 = 0.52; b2 = 0.60; b3 = 0.40; b4 = 0.30; b5 = 0.20 a) Calculate the proportion of each age class in each time unit to 6 decimal places, rounded off, and base the time of stable age distribution on the last decimal place. Show calculations for at least t = 1,2, and 3 of the population. b) Find the number of generations required for the population to attain stable equilibrium. Let the population be in equilibrium if changes from one generation to the next is less than 0.0001 Steps: (1) Find Nxt which is the number of individuals of age x at time t. (2) Find/compute the proportion of age at time t (e.g. Nxt / Nt) (3) Calculate population size at time t. (4) Find the rate of change in the population ( Nt / Nt-1 )