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Populations
BIOL 1407 – Fall 2017 - Ebeling
Objectives – Populations
By the end of this course successful students should be able to:
• Describe the factors that affect the size of a population
• Distinguish among the different forms of population distribution
• Describe how birth and death rates influence a population.
• Compare and contrast the three types of survivorship curves.
• Use the exponential and logistic growth equations to measure
changes in a population.
• Define carrying capacity and understand how it can affect
population size.
• Compare and contrast density-dependent and density
independent growth.
• Compare and contrast r-selected and K-selected life history
adaptations.
What is a population?
Section 37.1
A habitat is the physical
location where the members of
a population live.
Population density is the
number of individuals of a
species per unit area or unit
volume of a habitat.
Figure 39.14
©Ed Reschke
Population Distribution
Estimating population size
Section 37.1
Estimating population size also
interests many ecologists.
Consider this population of
wildebeest. How can the
number of individuals be
determined?
• Aerial photos
• Sampling small subset
• Mark-recapture
Figure 39.12
©Arthur Morris/Corbis
Births and deaths affect population size
Factors that increase population size
Section 37.2
Birth rate is the number of
individuals produced per
unit of time.
Immigration is the
movement of individuals
into a population.
Table 37.1
T A B L E 37.1 Factors Affecting Population Growth: A Summary
Factor Affected by…
Additions
Births • Number of reproductive episodes per lifetime
• Number of offspring per reproductive episode
• Age at first reproduction
• Population age structure (proportion at
reproductive age)
Immigration • Availability of dispersal mechanism
• Availability of suitable habitat
Subtractions
Deaths • Availability of nutrients
• Predation
• Accidents
• Genetic/infectious disease
Emigration • Availability of dispersal mechanism
Factors that decrease population size
Section 37.2
Death rate is the number of
deaths per unit of time.
Emigration is the movement
of individuals out of a
population.
Table 37.1
T A B L E 37.1 Factors Affecting Population Growth: A Summary
Factor Affected by…
Additions
Births • Number of reproductive episodes per lifetime
• Number of offspring per reproductive episode
• Age at first reproduction
• Population age structure (proportion at
reproductive age)
Immigration • Availability of dispersal mechanism
• Availability of suitable habitat
Subtractions
Deaths • Availability of nutrients
• Predation
• Accidents
• Genetic/infectious disease
Emigration • Availability of dispersal mechanism
Survivorship Curves
Three types of survivorship curves
Section 37.2
Survivorship curves
follow predictable
patterns.
Figure 37.5
Type I survivorship curve
Section 37.2
A type I survivorship
curve is representative
of species that invest
much energy caring for
young and have low
death rates early in life.
Most individuals survive
to reproduce.
Figure 37.5
Type II survivorship curve
Section 37.2
Type II species have an
approximately equal
probability of dying at
any age.
Figure 37.5
Type III survivorship curve
Section 37.2
A type III survivorship
curve is representative of
species that invest little
energy raising their
young and have high
death rates among
offspring. Few individuals
survive to reproductive
age.
Figure 37.5
Calculating Population Change
r = per capita rate of change
A population growth experiment
Section 37.3
A population is growing exponentially if the number of new individuals is
proportional to the size of the population.
Researchers put 100 rotifers in an environment with abundant
resources and no predators. The population grew exponentially.
Figure 37.6
Day 5 of the experiment
Section 37.4
By day 5, the growth rate was 49 individuals per day.
Time
(days)
r N G = rN
Total Population at
End of Day
1 0.22 100 22 122
2 0.22 122 27 149
3 0.22 149 33 182
4 0.22 182 40 222
5 0.22 222 49 271
6 0.22 271 60 331
7 0.22 331 73 404
8 0.22 404 89 493
9 0.22 493 108 601
10 0.22 601 132 733
11 0.22 733 161 894
12 0.22 894 197 1091
13 0.22 1091 240 1331
14 0.22 1331 293 1624
15 0.22 1624 357 1981
16 0.22 1981 436 2417
17 0.22 2417 532 2949
18 0.22 2949 649 3598
19 0.22 3598 792 4390
20 0.22 4390 966 5356
r = Per capita rate of increase
N = Number of individuals at start of time interval
G = Growth rate (number of individuals added per unit time)
Figure 37.6
Days 15 and 20 of the experiment
Section 37.4
After 15 days, the growth
rate had increased to 357
individuals per day.
At the end of the monitoring
period, the growth rate was
966 individuals per day!
But exponential growth
cannot continue indefinitely.
Time
(days)
r N G = rN
Total Population at End
of Day
1 0.22 100 22 122
2 0.22 122 27 149
3 0.22 149 33 182
4 0.22 182 40 222
5 0.22 222 49 271
6 0.22 271 60 331
7 0.22 331 73 404
8 0.22 404 89 493
9 0.22 493 108 601
10 0.22 601 132 733
11 0.22 733 161 894
12 0.22 894 197 1091
13 0.22 1091 240 1331
14 0.22 1331 293 1624
15 0.22 1624 357 1981
16 0.22 1981 436 2417
17 0.22 2417 532 2949
18 0.22 2949 649 3598
19 0.22 3598 792 4390
20 0.22 4390 966 5356
r = Per capita rate of increase
N = Number of individuals at start of time interval
G = Growth rate (number of individuals added per unit time)
Figure 37.6
Population growth eventually slows
Section 37.4
When resources become limited (or when any factor happens
that increases death rate or reduces birth rate), population
growth levels off.
Figure 37.8
Carrying Capacity (K)
Day 26 of the experiment
Section 37.4
At 26 days, the population size is near carrying capacity.
The growth rate has slowed to 30 individuals per day.
Figure 37.8
The logistic growth equation
Section 37.4
The following equation is used to calculate the growth rate at any population
size.
Notice that this equation is similar to the one for exponential growth, except
for the following addition.
𝐺 = 𝑟𝑁
𝐾 − 𝑁
𝐾
The boxed portion of
the equation
approaches zero as
population size gets
close to the carrying
capacity. Growth rate
therefore also
approaches zero.
G is the growth rate, r is the per capita rate of increase, N is the initial
population size, and K is the carrying capacity.
Life History Adaptations
A summary of life histories
Section 37.5 Figure 37.20
Opportunistic life history
• High reproduction rate
• Many offspring
• Each offspring receives little
parental care
• Low survival rate for juveniles
• Early reproductive maturity
• Type III survivorship curve:
Equilibrium life history
• Low reproduction rate
• Few offspring
• Each offspring receives
extensive parental care
• High survival rate for juveniles
• Late reproductive maturity
• Type I survivorship curve:
Human Population Growth
Human population growth is unsustainable
Section 37.5 Figure 37.17
The human population cannot
continue to grow exponentially.
Humans overexploit resources.
This diagram shows how much
land area each country needs
to support its current lifestyle.
Many countries have a large
ecological footprint, which
means they require more land
than is available.
Investigating life:
A toxic compromise
Section 37.6
Species face life history
trade-offs when living in a
challenging environment.
Fish called Atlantic mollies
sometimes live in toxic, dark
caves.
However, other Atlantic mollies
of the same species (but of
different subpopulations) live in
less challenging environments:
• Nontoxic cave
• Toxic surface water
• Nontoxic surface water
Figure 37.18
©Stephen Alvarez/National Geographic Creative/Getty Images
Investigating life:
Toxic vs. nontoxic
Section 37.6
Scientists studied Atlantic mollies
to learn how the environment
affects life history traits.
Mollies in dark, toxic caves
produce fewer, larger offspring
(high parental investment).
In contrast, mollies inhabiting
nontoxic surface water produce
many small offspring (lower
parental investment).
Figure 37.19
Investigating life:
How does toxicity relate to parental investment?
Section 37.6
Why is birthing larger offspring
adaptive in a dark, toxic
environment? Researchers
speculate that large offspring
are better swimmers that can
more easily find food in the
dark and survive in the toxic
water.
Figure 37.19
Investigating life:
Habitat differentiation may lead to speciation
Section 37.6
Because of these
differences in life history
traits, subpopulations of
Atlantic mollies seldom
interbreed. They may
eventually become
unique species.
Figure 37.18
©Stephen Alvarez/National Geographic Creative/Getty Images

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1407 populations f2017 blank

  • 1. Populations BIOL 1407 – Fall 2017 - Ebeling
  • 2. Objectives – Populations By the end of this course successful students should be able to: • Describe the factors that affect the size of a population • Distinguish among the different forms of population distribution • Describe how birth and death rates influence a population. • Compare and contrast the three types of survivorship curves. • Use the exponential and logistic growth equations to measure changes in a population. • Define carrying capacity and understand how it can affect population size. • Compare and contrast density-dependent and density independent growth. • Compare and contrast r-selected and K-selected life history adaptations.
  • 3. What is a population?
  • 4.
  • 5. Section 37.1 A habitat is the physical location where the members of a population live. Population density is the number of individuals of a species per unit area or unit volume of a habitat. Figure 39.14 ©Ed Reschke
  • 7.
  • 8. Estimating population size Section 37.1 Estimating population size also interests many ecologists. Consider this population of wildebeest. How can the number of individuals be determined? • Aerial photos • Sampling small subset • Mark-recapture Figure 39.12 ©Arthur Morris/Corbis
  • 9. Births and deaths affect population size
  • 10. Factors that increase population size Section 37.2 Birth rate is the number of individuals produced per unit of time. Immigration is the movement of individuals into a population. Table 37.1 T A B L E 37.1 Factors Affecting Population Growth: A Summary Factor Affected by… Additions Births • Number of reproductive episodes per lifetime • Number of offspring per reproductive episode • Age at first reproduction • Population age structure (proportion at reproductive age) Immigration • Availability of dispersal mechanism • Availability of suitable habitat Subtractions Deaths • Availability of nutrients • Predation • Accidents • Genetic/infectious disease Emigration • Availability of dispersal mechanism
  • 11. Factors that decrease population size Section 37.2 Death rate is the number of deaths per unit of time. Emigration is the movement of individuals out of a population. Table 37.1 T A B L E 37.1 Factors Affecting Population Growth: A Summary Factor Affected by… Additions Births • Number of reproductive episodes per lifetime • Number of offspring per reproductive episode • Age at first reproduction • Population age structure (proportion at reproductive age) Immigration • Availability of dispersal mechanism • Availability of suitable habitat Subtractions Deaths • Availability of nutrients • Predation • Accidents • Genetic/infectious disease Emigration • Availability of dispersal mechanism
  • 13. Three types of survivorship curves Section 37.2 Survivorship curves follow predictable patterns. Figure 37.5
  • 14. Type I survivorship curve Section 37.2 A type I survivorship curve is representative of species that invest much energy caring for young and have low death rates early in life. Most individuals survive to reproduce. Figure 37.5
  • 15. Type II survivorship curve Section 37.2 Type II species have an approximately equal probability of dying at any age. Figure 37.5
  • 16. Type III survivorship curve Section 37.2 A type III survivorship curve is representative of species that invest little energy raising their young and have high death rates among offspring. Few individuals survive to reproductive age. Figure 37.5
  • 17. Calculating Population Change r = per capita rate of change
  • 18.
  • 19.
  • 20. A population growth experiment Section 37.3 A population is growing exponentially if the number of new individuals is proportional to the size of the population. Researchers put 100 rotifers in an environment with abundant resources and no predators. The population grew exponentially. Figure 37.6
  • 21. Day 5 of the experiment Section 37.4 By day 5, the growth rate was 49 individuals per day. Time (days) r N G = rN Total Population at End of Day 1 0.22 100 22 122 2 0.22 122 27 149 3 0.22 149 33 182 4 0.22 182 40 222 5 0.22 222 49 271 6 0.22 271 60 331 7 0.22 331 73 404 8 0.22 404 89 493 9 0.22 493 108 601 10 0.22 601 132 733 11 0.22 733 161 894 12 0.22 894 197 1091 13 0.22 1091 240 1331 14 0.22 1331 293 1624 15 0.22 1624 357 1981 16 0.22 1981 436 2417 17 0.22 2417 532 2949 18 0.22 2949 649 3598 19 0.22 3598 792 4390 20 0.22 4390 966 5356 r = Per capita rate of increase N = Number of individuals at start of time interval G = Growth rate (number of individuals added per unit time) Figure 37.6
  • 22. Days 15 and 20 of the experiment Section 37.4 After 15 days, the growth rate had increased to 357 individuals per day. At the end of the monitoring period, the growth rate was 966 individuals per day! But exponential growth cannot continue indefinitely. Time (days) r N G = rN Total Population at End of Day 1 0.22 100 22 122 2 0.22 122 27 149 3 0.22 149 33 182 4 0.22 182 40 222 5 0.22 222 49 271 6 0.22 271 60 331 7 0.22 331 73 404 8 0.22 404 89 493 9 0.22 493 108 601 10 0.22 601 132 733 11 0.22 733 161 894 12 0.22 894 197 1091 13 0.22 1091 240 1331 14 0.22 1331 293 1624 15 0.22 1624 357 1981 16 0.22 1981 436 2417 17 0.22 2417 532 2949 18 0.22 2949 649 3598 19 0.22 3598 792 4390 20 0.22 4390 966 5356 r = Per capita rate of increase N = Number of individuals at start of time interval G = Growth rate (number of individuals added per unit time) Figure 37.6
  • 23. Population growth eventually slows Section 37.4 When resources become limited (or when any factor happens that increases death rate or reduces birth rate), population growth levels off. Figure 37.8
  • 25.
  • 26.
  • 27. Day 26 of the experiment Section 37.4 At 26 days, the population size is near carrying capacity. The growth rate has slowed to 30 individuals per day. Figure 37.8
  • 28. The logistic growth equation Section 37.4 The following equation is used to calculate the growth rate at any population size. Notice that this equation is similar to the one for exponential growth, except for the following addition. 𝐺 = 𝑟𝑁 𝐾 − 𝑁 𝐾 The boxed portion of the equation approaches zero as population size gets close to the carrying capacity. Growth rate therefore also approaches zero. G is the growth rate, r is the per capita rate of increase, N is the initial population size, and K is the carrying capacity.
  • 29.
  • 30.
  • 31.
  • 33.
  • 34. A summary of life histories Section 37.5 Figure 37.20 Opportunistic life history • High reproduction rate • Many offspring • Each offspring receives little parental care • Low survival rate for juveniles • Early reproductive maturity • Type III survivorship curve: Equilibrium life history • Low reproduction rate • Few offspring • Each offspring receives extensive parental care • High survival rate for juveniles • Late reproductive maturity • Type I survivorship curve:
  • 36.
  • 37. Human population growth is unsustainable Section 37.5 Figure 37.17 The human population cannot continue to grow exponentially. Humans overexploit resources. This diagram shows how much land area each country needs to support its current lifestyle. Many countries have a large ecological footprint, which means they require more land than is available.
  • 38. Investigating life: A toxic compromise Section 37.6 Species face life history trade-offs when living in a challenging environment. Fish called Atlantic mollies sometimes live in toxic, dark caves. However, other Atlantic mollies of the same species (but of different subpopulations) live in less challenging environments: • Nontoxic cave • Toxic surface water • Nontoxic surface water Figure 37.18 ©Stephen Alvarez/National Geographic Creative/Getty Images
  • 39. Investigating life: Toxic vs. nontoxic Section 37.6 Scientists studied Atlantic mollies to learn how the environment affects life history traits. Mollies in dark, toxic caves produce fewer, larger offspring (high parental investment). In contrast, mollies inhabiting nontoxic surface water produce many small offspring (lower parental investment). Figure 37.19
  • 40. Investigating life: How does toxicity relate to parental investment? Section 37.6 Why is birthing larger offspring adaptive in a dark, toxic environment? Researchers speculate that large offspring are better swimmers that can more easily find food in the dark and survive in the toxic water. Figure 37.19
  • 41. Investigating life: Habitat differentiation may lead to speciation Section 37.6 Because of these differences in life history traits, subpopulations of Atlantic mollies seldom interbreed. They may eventually become unique species. Figure 37.18 ©Stephen Alvarez/National Geographic Creative/Getty Images