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Population Ecology
Ecology is the scientific study of the interactions between organisms and the environment.
Ecological studies of species growth must take into account abiotic (non-living) and biotic
(living) factors. Biotic factors may include behaviors as well as interactions with other
species. Abiotic factors include the chemical and physical components of the ecosystem
such as light, salinity, temperature and soil pH.
A population is a group of individuals of a single species living in the same area.
Population ecology explores how biotic and abiotic factors influence the density,
distribution, size and age structure of populations.
A. Fundamental Characteristics of Organisms in a Population
1. Density
2. Dispersion
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3. Demography is a study of the vital
statistics in a population, especially birth
and death rates. A graphic way to
represent this is in survivorship curves.
Type I: low death rates during early and
midlife; then the death rates increase
sharply in older age groups.
Type II: shows a constant death rate
over the organism’s life span
Type III: shows a high death rate early,
then a flat rate for the few surviving to
older age groups
Label the survivorship curves above as type I, II, or III
B. Biotic Potential is the maximum growth rate of a population under ideal conditions,
with unlimited resources and without any growth restriction. How would the following
factors contribute to the biotic potential of a species? Increase or decrease
Age of reproductive maturity
Clutch size (# of offspring produced at a single reproductive event)
Frequency of reproduction
Reproductive lifetime
Survivorship of offspring to reproductive maturity
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C. Exponential Growth vs. Logistic Growth Curves
1. Exponential Growth
2. Logistical Growth
a. Limiting factors
Density dependent
Density independent
b. Carrying Capacity (K)
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c. Describe the shape of the exponential growth curve.
d. Predict why a population would be experiencing exponential growth.
e. Could a population continue growing exponentially? Explain.
f. Describe the shape of the logistic growth curve. Why does this curve flatten out
when the population (N) reached 1500 individuals?
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Population Models and Growth of Populations
Population growth models: observations, experiments, and mathematical modeling are used to
determine rates of population growth. These models are used to study variables affecting
growth and to predict future population growth.
A. Exponential Model describes an idealized in an unlimited environment.
1. Unlimited resources
2. Excluding immigration and emigration, change in population size would be equal
to the number of births (B) minus the number of deaths (D) in a specific time
(ΔN/ Δ t).
3. Annual per capita birth rate refers to the average number of offspring produced
by an individual within a population. For example, if I tell you that there were five
births in a population in a year, that doesn't tell you much about what's really going
on in that population. Is five a lot or a little? The answer depends on the number
already in that population.
To determine per capita birth or death rates, you simply divide the absolute number
of births ("B") or deaths ("D") by the number in the population ("N") at the midpoint
of the time interval (usually year). By convention, for human demographics, we use
the total number ("N") of people, regardless of age or sex. Knowing the per capita
birth and death rates, population ecologists can calculate the expected number of
births and deaths in a given year.
We will use lower case "b" and "d" to indicate per capita birth and death rates,
respectively.
b = B/N and d = D/N.
Check yourself #1: Calculate "b" and "d" for the U.S. in 2012.
US Population size in 2012 (N) = approximately 314 million Number of births in the US in 2012 (B) = approximately 4.1 million Number of deaths in the US in 2012 (D) = approximately 2.5 million
dN/ dt = B –D
ΔN = population change, ΔT = time interval, B =births, D = deaths
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What is the per capita birth rate ("b") for the US in 2012? _______________
What is the per capita death rate ("d") for the US in 2012? ________________
4. Population ecologists use (r) to identify the difference in per capita birth and death rates.
r = b – d What would a positive r and a negative r value indicate?
If r = 0, what does this tell you about population growth rates?
Check yourself # 2: A population of 265 swans is introduced to Mill Pond. The
population birth rate is 0.0341 swans/year, and the death rate is 0.296 swans/years.
What is the rate of population growth and is it increasing or decreasing?
5. Intrinsic Rate (rmax) is the fastest growth rate possible for a population
reproducing under ideal conditions.
Population Factors that influencing intrinsic growth rates.
a. Age at the beginning of the population
b. Number of young reproduced
c. How well the young survive
6. Exponential Growth Rate dN/dt = rmax N
a. The size of the population is rapidly increasing.
b. J shaped growth curve when population is plotted over time
c. Characteristic of some populations that are either:
- Introduced into a new or unfilled environment
- Or populations rebounding in numbers after a catastrophe
Do you think that a population can continue to grow exponentially forever? Why or why
not?
Identify 2 biotic and 2 abiotic factors that might prevent unlimited population growth?
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B. Logistic Models incorporate the notion of carrying capacity (K). Carrying capacity is the
maximum number of organisms that can be supported by an ecosystem. Logistic growth
curves model the "S-shaped" behavior (abbreviated S-curve) of growth of some
population. The initial stage of growth is approximately exponential; then, as saturation
begins, the growth slows, and at maturity, growth stops.
What happens to N as the population approached K?
Why does this occur?
Logistic growth can be represented by the following equation:
How does the logistic growth formula differ from the exponential growth formula?
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C. Practice: Using the equations above, solve the following population problems.
1. There are 190 grey tree frogs in a swamp. If r = -0.093 frogs/year, predict the population
size next year.
2. A population of 1,492 Baltimore Orioles is introduced to an area of Nerstrand
woods. Over the next year, the Orioles show a death rate of 0.395 while the population
drops to 1,134. What’s the birth rate for this population? Is this proving to be a suitable
habitat?
3. One dandelion plant can produce many seeds, leading to a high growth rate for
dandelion populations. If a population of dandelions is currently 40 individuals, and
rmax= 80 dandelions/month, predict dN/dt if these dandelions would grow
exponentially.
4. Imagine the dandelions mentioned in #5 cannot grow exponentially, due to lack of
space. The carrying capacity for their patch of lawn is 70 dandelions. What is their
dN/dt in this logistic growth situation?
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D. Interpreting Age Structured Pyramids
1. How can you explain the rapid population growth in Afghanistan?
2. What percentage of the US population is between 40 and 49 years of age?
3. How would you describe population growth in the United States?
4. Is Italy experiencing positive or negative population growth? Why?
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E. Population Cycles
Use the graph above to answer the following questions
1. Based on the graph, which organism is the predator and which is the prey. Use
numerical evidence to support your claim.
2. What happens to the lynx population when the hare population increases? Why
does this occur?
3. What happens to the hare population as the lynx population grows?
4. Notice that the maximum population of the predator and prey are separated by
periods of time. The same can be said for the minimum population numbers. This is
commonly referred to as the population lag time. Using the graph, calculate the
approximate population lag time between the lynx and hare.
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Community Ecology
Community ecology is concerned with the interaction of all the living organisms in a particular
area. The concept of competition different species is known as interspecies competition. G.F.
Gause studied the idea of the competitive exclusion principle. When two species compete for
the same resources, one is likely to be more successful than the other.
1a. How do these two graphs
represent the competitive exclusion
principle?
1b. Predict why P. caudatum declined
in the mixed culture?
2. Often times, populations will coexist in spite of the apparent competition for the same food.
Based on the diagram, how would you define the term resource partitioning?
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3. Fundamental vs. Realized Niche
The ________________________________ niche is the niche that an organism
occupies in the absence of competition. The _______________________ niche is the
result of competing species and the fact that their existence results when niche
overlap is absent.
Under experimental conditions, one species of barnacle (Chthalamus) can live on
rocks that are exposed to the full range of tides. In the natural environment, a
second species, Balanus, outcompetes Chthalamus, but only at low tide.
What is the fundamental niche of Chthalamus?
Explain why the introduction of Balanus forces each species of barnacles to
live within their realized niche. How does this ensure survival of both
species?
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4. Community Interactions
Complete the second column using the following terms: mutualism, commensalism, and
parasitism. Complete the last column using the following relationships; (+,+) (+,-) (+,0)
Barnacles live on whales. One organism is helped and the other is unaffected.
Protozoa live in the digestive tracts of termites and both benefit.
Wasps lay their eggs in the body cavity of caterpillars. The larvae survive while the caterpillars do not.
Nitrogen fixing bacteria live in the roots of legumes (bean sprouts) These bacteria convert N2 gas into useable nitrates (NO3
-).
5. Protective Measures between Predator and Prey
a. Secondary compounds (toxins)
b. Camouflage (cryptic coloration)
c. Aposematic (warning coloration)
d. Mimicry
1. Mullerian mimicry
2. Batesian mimicry
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Ecological Succession
Ecosystems constantly change. A tree falling in a forest affects the forest ecosystem. A fire might
alter the forest habitat so much that some species cannot survive and others can thrive. The process of
one community replacing another as a result of changing abiotic and biotic factors is called ecological
succession.
How does soil form in primary succession?
There are two types of ecological succession – primary and secondary succession. Primary
succession is the establishment of a community in an area of bare rock that does not have topsoil. For
example, suppose a lava flow alters an ecosystem. The lava hardens to form bare rock. Usually, lichens
begin to grow on the rock first. Because lichens and some mosses are among the first organisms to
appear, they are called pioneer species.
Pioneer species secrete acids that help break down rocks. As pioneer species die, their decaying
organic materials mix with small pieces of rock. This is the first stage of soil development. Small weedy
plants begin to grow in the soil. These organisms die, adding to the soil. Seeds brought by animals,
water, and wind begin to grow. Eventually, enough soil forms to support trees and shrubs.
It might take hundreds of years for the ecosystem to become balanced and achieve equilibrium.
When an ecosystem is in equilibrium, there is no net change in the number of species. New species
come into the community at about the same rate that others leave the community. This is a climax
community – a stable, mature community in which there is little change in the number of species.
How does secondary succession occur?
Disturbances such as fire or flood can disrupt a community. After a disturbance, new species of
plants and animals might occupy the habitat. Over time, the species belonging to the climax community
are likely to return. Secondary succession is the orderly and predictable change that takes place after a
community of organisms has been removed but the soil remains. Pioneer species begin the process of
restoring a habitat after a disruption. The figure below shows how the community changes after a forest
fire, leading again to a mature climax community.
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1. What are two things mentioned in the reading that can happen that might affect an ecosystem?
2. Define ecological succession.
3. What is primary succession?
4. Describe an example of primary succession.
5. What is a pioneer species?
6. How long might it take for an ecosystem to become balanced?
7. What happens when an ecosystem is in equilibrium?
8. Define climax community.
9. Name two things that can disrupt a community.
10. What is secondary succession?