Unit 3 - Chapter 3 - Population Growth

Question 1

Answer 1

POPULATION GROWTH:

Describes how the # of individuals in a population increase over time

(basically this whole chapter is ‘HOW does ‘N’ change with time?)

Question 2

POPULATION GROWTH :

What are 4 factors that change the size of a population?

Answer 2

1. BIRTH RATE: (natality) the # of offspring produced per unit time within a population. Increased fertility rate can lead to population growth (availability of resources, age, mating opportunities, strategies all contribute)
2. DEATH RATE: (mortality) # of individuals that die per unit time within a population. An increase in this can cause population decline (predation, disease, competition for resources, environmental stressors, age-specific mortality all contribute)
3. IMMIGRATIONS : movement into a population from other areas or source populations, which increases population (can occur due to dispersal, favourable environmental conditions, resource availability,habitat quality)
4. EMIGRATION : movement of individuals out of a population to other areas or populations. Decreases population size (resource depletion, competition, unfavourable environmental conditions, dispersal all contribute)

Question 3

POPULATION GROWTH :

Geometric Growth:

• what are the assumptions?
• consider immigration or emigration for this population?
• Population at the end of day one?

Answer 3

• Assumptions(see pic above)
• No + B - D = N1
  For a # of individuals at a given time

ALL CALCULATIONS BELOW:

Question 4

Per Capita birthrate (b)
&
Per Capita deathrate (d)

Answer 4

1. Using b and d to calculate Population Size at the beginning of the next day or week or year:

Nt + 1 = Nt + bNt− dNt

Question 5

2. When calculating the # of individuals added to the population in the PREVIOUS time period:
   ∆N/∆t = rNt

Answer 5

3. When calculating the Population Size at a distant point in the Future:

Nt = N0 λ^t

Question 6

Question 7

Showing Logistic Growth Model with equation:
δN/δt = rN * (1 − N/K)

Answer 7

Showing Max Population Growth with Max Recruitment (K)

Question 8

Knowing the Maximum Sustainable Yield (MSY) and when to harvest.