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11
Biology 205
Ecology and Adaptation
Population dynamics
Dr. Erik D. Davenport
1
2
Outline
• Estimating Patterns of Survival
• Survivorship Curves
• Age Distribution
• Rates of Population Change
• Dispersal
– In Response to Climate Change
– In Response to Changing Food Supply
– In Rivers and Streams
2
3
Main concepts
• A survivorship curve summarizes the pattern of
survival (and death) in a population.
• The age distribution of a population reflects its
history of survival, reproduction, and potential for
future growth.
• A life table combined with a fecundity schedule can
be used to estimate net reproductive rate (R0) and
per capita rate of increase (r).
• Dispersal can increase or decrease local population
density.
3
4
Pattern of survival
• Pattern of survival vary a great deal from one species
to another.
• Some species could produce young by the millions,
and die at a high rate.
• Some other species produce a few young and invest
heavily in their care, and have high survival rate.
• Biologists have invented the life table, that list both
the survival ship, and the death (or mortality) in the
population to describe the survival pattern
4
5
Estimating Patterns of Survival
• Three main methods of estimation:
– Cohort life table
• Identify individuals born at same time and keep records
from birth.
– Static life table
• Record age at death of individuals.
– Age distribution
• Calculate difference in proportion of individuals in each
age class.
• Assumes differences from mortality.
5
66
7
High Survival Among the Young
• Murie collected Dall Sheep skulls, Ovis dalli.
– Major Assumption: Proportion of skulls in each
age class represented typical proportion of
individuals dying at that age.
– Reasonable given sample size of 608.
– Constructed survivorship curve.
– Discovered bi-modal mortality.
– <1 yr.
– 9-13 yrs.
7
88
9
10_02b.jpg
9
10
10_03a.jpg
10
Survival curve for a plant
1111
Survival curve for rotifer population
12
Constant rates of Survival
12
Mortality occurs at approximately equal rates throughout life
13
High mortality among the young
13
Population has a high mortality rates at young stage
14
Survivorship Curves
14
15
Survivorship Curves
• Type I: Majority of mortality occurs among
older individuals.
– Dall Sheep
• Type II: Constant rate of survival throughout
lifetime.
– American Robins
• Type III: High mortality among young,
followed by high survivorship.
– Sea Turtles
15
16
Age Distribution
16
17
Age Distribution
• Age distribution of a population reflects its history of
survival, reproduction, and growth potential.
• Miller published data on age distribution of white
oak (Quercus alba).
– Determined relationship between age and trunk diameter.
– Age distribution biased towards young trees.
– Sufficient reproduction for replacement.
– Stable population
17
1818
19
Age Distribution
• Rio Grande Cottonwood populations (Populus
deltoides wislizenii) are declining.
– Old trees not being replaced.
– Reproduction depends on seasonal floods.
• Prepare seed bed.
• Keep nursery areas moist.
– Because floods are absent, there are now fewer
germination areas.
19
20
10_09b.jpg
20
21
Dynamic Population in a Variable
Climate
• Grant and Grant studied Galapagos Finches.
– Drought in 1977 resulted in no recruitment.
– Gap in age distribution.
– Additional droughts in 1984 and 1985.
– Reproductive output driven by exceptional year in
1983.
– Responsiveness of population age structure to
environmental variation.
21
22
Rates of Population Change
• Birth Rate: Number of young born per female.
• Fecundity Schedule: Tabulation of birth rates
for females of different ages.
• Life table and fecundity schedule
1.Estimate net reproduction rate (Ro)
2.Geometric rate of increase ()
3.Generation time (T)
22
23
Estimating Rates for an Annual Plant
• P. drummondii
– Ro = Net reproductive rate: Average number of
seeds produced by an individual in a population
during its lifetime.
Ro=∑lxmx
– X= Age interval in days.
– lx = % pop. surviving to each age (x).
– mx= Average number seeds produced by each
individual in each age category.
23
2424
2525
2626
27
Estimating Rates for an Annual Plant
• Because P. drummondii has non-overlapping
generations, can estimate growth rate.
– Geometric Rate of Increase ():
 =N t+1 / Nt
• N t+1 = Size of population at future time.
• Nt = Size of population at some earlier time.
27
28
10_10.jpg
28
29
Estimating Rates when Generations Overlap
• Common Mud Turtle (K. subrubrum)
– About half turtles nest each year.
– Average generation time:
T = ∑ xlxmx / Ro
– X= Age in years
– Per Capita Rate of Increase:
r = ln Ro / T
– ln = Base natural logarithms
29
30
10_02.jpg
30
31
Concept 4
Dispersal can increase or decrease local
population densities
– Dispersal of expanding population
• African Honeybees
• Collard doves
– Range Change in response to climate change
– Dispersal in response to changing food supply
– Dispersal in rivers and streams
31
32
Africanized Honeybees
32
33
Dispersal
• Africanized Honeybees
– Honeybees (Apis melifera) evolved in Africa and
Europe and have since differentiated into many
locally adapted subspecies.
– Africanized honeybees disperse much faster than
European honeybees.
– Within 30 years they occupied most of South
America, Mexico, and all of Central America.
33
34
Collared Doves
34
35
Collared Doves
• Collared Doves, Streptopelia decaocto, spread
from Turkey into Europe after 1900.
– Dispersal began suddenly.
– Not influenced by humans.
– Took place in small jumps.
– 45 km/yr
35
36
Rapid Changes in Response to Climate Change
36
37
Rapid Changes in Response to Climate Change
• Organisms began to spread northward about
16,000 years ago following retreat of glaciers
and warming climate.
– Evidence found in preserved pollen in lake
sediments.
– Movement rate 100 - 400 m/yr.
37
38
Dispersal in Response to Changing Food Supply
• Holling observed numerical responses to
increased prey availability.
– Increased prey density led to increased density of
predators.
– Individuals move into new areas in response to
higher prey densities.
38
39
Dispersal in Rivers and Streams
39
40
Dispersal in Rivers and Streams
• Stream dwellers have mechanisms to allow them to maintain
their stream position.
– Streamlined bodies
– Bottom-dwelling
– Adhesion to surfaces
• Tend to get washed downstream in spates.
– Muller hypothesized populations maintained via dynamic
interplay between downstream and upstream dispersal.
– Colonization cycle is a dynamic view of stream populations
in which upstream and downstream dispersal, as well as
reproduction, have major influence on stream populations.
40
41
Review
• Estimating Patterns of Survival
• Survivorship Curves
• Age Distribution
• Rates of Population Change
– Overlapping Generations
• Dispersal
– In Response to Climate Change
– In Response to Changing Food Supply
– In Rivers and Streams
41

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Lecture 9: Population Ecology

  • 1. 11 Biology 205 Ecology and Adaptation Population dynamics Dr. Erik D. Davenport 1
  • 2. 2 Outline • Estimating Patterns of Survival • Survivorship Curves • Age Distribution • Rates of Population Change • Dispersal – In Response to Climate Change – In Response to Changing Food Supply – In Rivers and Streams 2
  • 3. 3 Main concepts • A survivorship curve summarizes the pattern of survival (and death) in a population. • The age distribution of a population reflects its history of survival, reproduction, and potential for future growth. • A life table combined with a fecundity schedule can be used to estimate net reproductive rate (R0) and per capita rate of increase (r). • Dispersal can increase or decrease local population density. 3
  • 4. 4 Pattern of survival • Pattern of survival vary a great deal from one species to another. • Some species could produce young by the millions, and die at a high rate. • Some other species produce a few young and invest heavily in their care, and have high survival rate. • Biologists have invented the life table, that list both the survival ship, and the death (or mortality) in the population to describe the survival pattern 4
  • 5. 5 Estimating Patterns of Survival • Three main methods of estimation: – Cohort life table • Identify individuals born at same time and keep records from birth. – Static life table • Record age at death of individuals. – Age distribution • Calculate difference in proportion of individuals in each age class. • Assumes differences from mortality. 5
  • 6. 66
  • 7. 7 High Survival Among the Young • Murie collected Dall Sheep skulls, Ovis dalli. – Major Assumption: Proportion of skulls in each age class represented typical proportion of individuals dying at that age. – Reasonable given sample size of 608. – Constructed survivorship curve. – Discovered bi-modal mortality. – <1 yr. – 9-13 yrs. 7
  • 8. 88
  • 11. 1111 Survival curve for rotifer population
  • 12. 12 Constant rates of Survival 12 Mortality occurs at approximately equal rates throughout life
  • 13. 13 High mortality among the young 13 Population has a high mortality rates at young stage
  • 15. 15 Survivorship Curves • Type I: Majority of mortality occurs among older individuals. – Dall Sheep • Type II: Constant rate of survival throughout lifetime. – American Robins • Type III: High mortality among young, followed by high survivorship. – Sea Turtles 15
  • 17. 17 Age Distribution • Age distribution of a population reflects its history of survival, reproduction, and growth potential. • Miller published data on age distribution of white oak (Quercus alba). – Determined relationship between age and trunk diameter. – Age distribution biased towards young trees. – Sufficient reproduction for replacement. – Stable population 17
  • 18. 1818
  • 19. 19 Age Distribution • Rio Grande Cottonwood populations (Populus deltoides wislizenii) are declining. – Old trees not being replaced. – Reproduction depends on seasonal floods. • Prepare seed bed. • Keep nursery areas moist. – Because floods are absent, there are now fewer germination areas. 19
  • 21. 21 Dynamic Population in a Variable Climate • Grant and Grant studied Galapagos Finches. – Drought in 1977 resulted in no recruitment. – Gap in age distribution. – Additional droughts in 1984 and 1985. – Reproductive output driven by exceptional year in 1983. – Responsiveness of population age structure to environmental variation. 21
  • 22. 22 Rates of Population Change • Birth Rate: Number of young born per female. • Fecundity Schedule: Tabulation of birth rates for females of different ages. • Life table and fecundity schedule 1.Estimate net reproduction rate (Ro) 2.Geometric rate of increase () 3.Generation time (T) 22
  • 23. 23 Estimating Rates for an Annual Plant • P. drummondii – Ro = Net reproductive rate: Average number of seeds produced by an individual in a population during its lifetime. Ro=∑lxmx – X= Age interval in days. – lx = % pop. surviving to each age (x). – mx= Average number seeds produced by each individual in each age category. 23
  • 24. 2424
  • 25. 2525
  • 26. 2626
  • 27. 27 Estimating Rates for an Annual Plant • Because P. drummondii has non-overlapping generations, can estimate growth rate. – Geometric Rate of Increase ():  =N t+1 / Nt • N t+1 = Size of population at future time. • Nt = Size of population at some earlier time. 27
  • 29. 29 Estimating Rates when Generations Overlap • Common Mud Turtle (K. subrubrum) – About half turtles nest each year. – Average generation time: T = ∑ xlxmx / Ro – X= Age in years – Per Capita Rate of Increase: r = ln Ro / T – ln = Base natural logarithms 29
  • 31. 31 Concept 4 Dispersal can increase or decrease local population densities – Dispersal of expanding population • African Honeybees • Collard doves – Range Change in response to climate change – Dispersal in response to changing food supply – Dispersal in rivers and streams 31
  • 33. 33 Dispersal • Africanized Honeybees – Honeybees (Apis melifera) evolved in Africa and Europe and have since differentiated into many locally adapted subspecies. – Africanized honeybees disperse much faster than European honeybees. – Within 30 years they occupied most of South America, Mexico, and all of Central America. 33
  • 35. 35 Collared Doves • Collared Doves, Streptopelia decaocto, spread from Turkey into Europe after 1900. – Dispersal began suddenly. – Not influenced by humans. – Took place in small jumps. – 45 km/yr 35
  • 36. 36 Rapid Changes in Response to Climate Change 36
  • 37. 37 Rapid Changes in Response to Climate Change • Organisms began to spread northward about 16,000 years ago following retreat of glaciers and warming climate. – Evidence found in preserved pollen in lake sediments. – Movement rate 100 - 400 m/yr. 37
  • 38. 38 Dispersal in Response to Changing Food Supply • Holling observed numerical responses to increased prey availability. – Increased prey density led to increased density of predators. – Individuals move into new areas in response to higher prey densities. 38
  • 39. 39 Dispersal in Rivers and Streams 39
  • 40. 40 Dispersal in Rivers and Streams • Stream dwellers have mechanisms to allow them to maintain their stream position. – Streamlined bodies – Bottom-dwelling – Adhesion to surfaces • Tend to get washed downstream in spates. – Muller hypothesized populations maintained via dynamic interplay between downstream and upstream dispersal. – Colonization cycle is a dynamic view of stream populations in which upstream and downstream dispersal, as well as reproduction, have major influence on stream populations. 40
  • 41. 41 Review • Estimating Patterns of Survival • Survivorship Curves • Age Distribution • Rates of Population Change – Overlapping Generations • Dispersal – In Response to Climate Change – In Response to Changing Food Supply – In Rivers and Streams 41