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Populations . Possible Test Questions. Explain how biotic potential and/or carrying capacity produce the J-shaped and S-shaped population growth curves. Draw the three main survivorship curves and relate them to r selection and K selection in animals.

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possible test questions
Possible Test Questions
  • Explain how biotic potential and/or carrying capacity produce the J-shaped and S-shaped population growth curves.
  • Draw the three main survivorship curves and relate them to r selection and K selection in animals.
  • 3. Explain how a single child born in the United States can have a greater effect on the environment and natural resources than a dozen or more children born in a developing country.
biotic potential
Biotic Potential

The Biotic Potential is the maximum rate at which a population could increase under ideal conditions.

Different species have different biotic potentials..

exponential growth
Exponential Growth

Growth = dN/dt = rN

where: r = biotic potential (per cap. rate of increase)

N = population size

When N is small, growth is small

When N is large, growth is large

When r is larger, the more rapid the growth

exponential growth10
Exponential Growth
  • Think of exponential growth in terms of making money. How much you increase your earnings will depend on:
  • How much principle you have (population size)
  • The interest rate at which you are earning money (the biotic potential)
density dependent growth compared to exponential growth
Density-dependent Growth Compared to Exponential Growth

Populations will not increase forever. Ignoring all interactions with other species (competition, predation, parasites, herbivory), resources will still limit growth - food resources and space resources.

(Remember the flies data from previous slide - In just 10 years, we would be swimming in several meters of flies if exponential growth continued.)

characteristics of density dependent growth
Characteristics of Density-dependent Growth

Resources will limit growth - Food and/or Space

Carrying capacity= the maximum number of individuals of a species that can be sustained by an environment without decreasing the capacity of the environment to sustain that same amount in the future.

j shaped compared to s shaped growth curves

K

r

J-Shaped Compared to S-Shaped Growth Curves

growth = dN/dt = rN [(K-N)/K]

where r = biotic potential

N is the population size and

K = carrying capacity

So (K-N)/K = opportunity to grow

example of growth data
Example of Growth Data

growth = rN [(K-N)/K]

Imagine that r = 1.0 K=100

N (t+1)

N (t ) r rN (K-N)/K dN/dt N (t+1) if no K

1 1 1 99/100 0.99 1.99 2

50 1 50 50/100 25 75 100

75 1 75 25/100 8.75 93.75 150

95 1 95 5/100 4.75 99.75 190

99 1 99 1/100 0.99 99.99 198

100 1 100 0/100 0 100 200

slide15

growth = rN [(K-N)/K]

Imagine that r = 1.0 K=100

N (t+1)

N (t ) r rN (K-N)/K dN/dt N (t+1) if no K

1 1 1 99/100 0.99 .99 2

50 1 50 50/100 25 75 100

75 1 75 25/100 8.75 93.75 150

95 1 95 5/100 4.75 99.75 190

99 1 99 1/100 0.99 99.99 198

100 1 100 0/100 0 100 200

(K-N)/K = opportunity to grow

Three possible outcomes:

1. When N (population) is small, (K-N)/K ~ K/K ~ 1

so exponential growth at small pop. size.

2. Both K and r have an effect. Intermediate growth.

3. When N is large, K-N ~ 0

so the population doesn’t change in size

population strategies r strategy compared to k strategy
Population Strategiesr-Strategy Compared to K-Strategy

r-strategy: high intrinsic growth rates - focuses on reproduction, not on competition with other individuals in the population.

K-strategy: focuses on population at or near carrying capacity—must be able to compete with other individuals in the population.

K-strategy

r-strategy

reproductive strategies
Reproductive Strategies

r-strategy K-strategy

demography
Demography

Demography = study of population change

Natality = production of new individuals

Mortality = death rate

(+ migration contributes to local numbers)

Factors affecting natality and mortality:

(1) Age composition of population

(2) Environment

life expectancies change with age
Life Expectancies Change With Age
  • Type I: humans and other large mammals; high mortality when reach old age
  • Type II: birds (seagulls); probability of death is unrelated to age.
  • Type III: aquatic organisms that release fertilized eggs. High mortality of very young individuals.
  • Which is r-strategy? Which is K-strategy?
slide20

r-strategy K-strategy

Survivorship curves:

Type I related to K,

Type III related to r.

slide21

Reproduction changes with age - proportion of individuals in each reproductive class can have a large effect on population growth.

      • Expanding: Population momentum: when young make large proportion of the population, potential for rapid increase in natality when young reach reproductive age. ‘Bottom heavy’
      • Stable: stationary phase. Mortality such that each class goes to the next class at the size the next class was at. The population is at replacement numbers for births.
      • Diminishing: natality has fallen below replacement numbers. ‘Top heavy’.
slide22

HUMAN POPULATION

2000 years ago 300 million people

200 years ago under a billion people

40 years ago 3 billion people

1999 6 billion people

Now, the population is growing by almost 78 million more people each year.

Two possible causes:

Life expectancy (age at mortality)

Fertility

slide23

Mortality and death rates: The primary cause of population growth has been declining mortality.

In the last 100 years, average life expectancy has risen by about 25 years - due to modern medicine, better food, and better sanitation (environment changed).

comparison population usa 2000 with 2050
Comparison Population USA 2000 with 2050

Post-repro

Reproductive

Pre-repro

2000

2050

conclusion
Conclusion

By changing the salmon’s environment (DAMS), we have changed the carrying capacity for salmon.

Are we doing the same thing with the earth for human beings?

economics and life expectancy
Economics and Life Expectancy

Although life expectancy is predicted well by annual

per capita income, the correlation is good only up to

about $4000.

birth rates and fertility rates
Birth Rates and Fertility Rates
  • Crude birth rates are the number of births per 1000 people. It is crude because it is not adjusted for the number of women of reproductive age.
  • Total fertility rate is the number of children born to an average woman in a population during her reproductive life.
      • Obviously only women give birth, so women must be considered specifically.
slide35

Why are fertility rates so high in sub-Saharan

Africa?

Infant mortality rates strongly correlated with

high fertility rates.

other correlations with infant mortality rates
Other Correlations with Infant Mortality Rates?

Can increased female literacy decrease infant mortality, and so decrease fertility rates?

empower women what would this mean for some societies
EMPOWER WOMEN? What would this mean for some societies?

Fertility Rates and Female Literacy

Fertility Rates and Birth control (linked to literacy?)

slide38

Religious Beliefs

Cultural Norms

Religious

Beliefs

Cultural Norms