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Population Regulation

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Logistic equation represents equilibrium view of population ... However, correlation may not indicate causation (food supply, red grouse) The Intrinsic School ... – PowerPoint PPT presentation

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Title: Population Regulation


1
Population Regulation
  • Chapter 5

2
Preconditions
  • Populations change over time
  • Populations cannot grow indefinitely
  • Logistic curve
  • Logistic equation represents equilibrium view of
    population regulation (if perturbed, population
    returns to equilibrium value, K)
  • Other views see population fluctuations as random
    over time, without returning to equilibrium (due
    to disturbance)

3
Background
  • Population regulation fluctuations in abundance
    with feedback mechanisms to increase or decrease
    density toward K
  • Population control ecological mechanisms which
    control upper limit of density
  • Density is a result of combination of factors
  • In general ?N (b i) (d e), where N is
    population size, b is births, d is deaths, i is
    immigrants, e is emigrants

4
Patterns of Population Fluctuation
  • Small-magnitude irregular fluctuations,
    Large-scale irregular fluctuations, Cycles,
    Irruptions

5
Small-magnitude irregular fluctuations
  • Small random changes in density of one order of
    magnitude or less

6
Large-scale irregular fluctuations
  • Large random changes in density of several orders
    of magnitude

7
Cycles
  • Regular interval changes in population density

8
Irruptions
  • Occasional, unpredictable population explosions

9
Equilibrium Theories
  • Central difference among theories lies in the
    relative importance of density-dependent factors
    and density-independent factors.
  • Density-dependent factors have an increasing
    effect with increasing density
  • Density-independent factors have an effect that
    does not vary with density

10
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11
Extrinsic Biotic School
  • Accepts importance of density-dependent factors
  • Emphasizes external biotic factors
  • Food supply
  • Predation
  • Disease

12
Food supply
  • Evidence shows that food-supply is a strong
    determinant of density.
  • Birds frequently die of starvation.
  • Areas with high food supplies tend to have high
    bird densities. (correlation Vs. causation)
  • Artificially supplemented food studies
  • Naturally supplemented food studies

13
Predation
  • Difficult to establish (need to know density
    differences of predators with varying prey
    densities)
  • Studies indicate that predator species depress
    prey populations
  • Removal experiments yield ambiguous results
  • Top-down or bottom-up controversy

14
Disease and parasitism
  • Increased densities may increase the rate of
    transmission
  • Increased density frequently correlates with
    increased disease rate
  • However, correlation may not indicate causation
    (food supply, red grouse)

15
The Intrinsic School
  • Based on mechanisms intrinsic to the population
  • Aka the population is self-regulated
  • Also relies on density-dependence
  • Stress, territoriality, genetic polymorphism
    hypothesis, dispersal

16
Stress, Territoriality
  • Stress may regulate density by causing
    physiological reactions to high densities
  • Territoriality may regulate density by excluding
    some individuals from reproducing

17
Genetic Polymorphism Hypothesis, dispersal
  • Genetic composition changes in response to
    density
  • Saturation dispersal, presaturation dispersal
    (reduces inbreeding)

18
Nonequilibrium theories of population regulation
  • Abiotic Extrinsic Regulation, Metapopulations,
    Chaos theory

19
Abiotic Extrinsic Regulation
  • Density-independent, abiotic factors
  • Weather, temperature, moisture, sun-exposure,
    rainfall, etc
  • These factors are sufficient to explain density
    variations. Populations do not encounter ideal
    conditions long enough for density-dependent
    factors to be of importance.

20
Metapopulations
  • Population consisting of several patches of
    populations linked by dispersal.
  • Patches vary, may go extinct not in equilibrium,
    but overall population survives due to dispersal
    among patches
  • Metapopulations are particularly important in
    fragmented habitats

21
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22
Chaos Theory
  • Unpredictable patterns of population growth
  • Particularly interesting with r values above 2.69
  • Pattern depends on initial conditions
  • Not stochastic
  • Property of the growth itself (growth equation)

23
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24
Recapitulating Population Regulation
  • There are equilibrium and non-equilibrium
    populations
  • Density-dependent and density-independent factors
    affect populations (biotic and abiotic factors)
  • It is undeniable that there is no single
    explanation rather, a combination of theories
    applies. To what extent in each case is the
    relative contribution becomes the question.

25
Invasions
  • Four stages Transport, Introduction,
    Establishment, Spread
  • Invasions follow the logistic curve, usually with
    longer lag phase, followed by exponential growth
  • Invasions reach high densities (e.g. zebra
    mussels, Opuntia cactus and cactoblastis moth)
  • Escape from density-dependent factors? Probably
    not. Other possibilities.

26
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27
  • Zebra mussel figure

28
Anywhere, everywhere!
29
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30
Extinction and Risk Analysis
  • Extinction is a natural component of populations
    (strongly aggravated by humans)
  • Birth rate decreases, mortality increases
  • Very low populations suffer the Allee effect
  • Anthropogenic habitat loss creates three risk
    factors demographic accidents, habitat
    fragmentation, genetic risk

31
Demographic accidents
  • Habitat loss creates population decrease
  • With smaller populations, risk of extinction
    increases, due to demographic accidents
  • Chance events have a greater impact on small
    populations
  • Severe winter, epidemic, predators, etc

32
Habitat fragmentation
  • Habitat loss frequently leads to habitat
    fragmentation
  • This leads to a metapopulation structure
  • Single patches may not be large enough to support
    a breeding population
  • Dispersal may not be possible to support
    supplying of extinct patches
  • Patches may go extinct simultaneously

33
Genetic risks
  • Smaller populations have increased inbreeding and
    genetic drift
  • Both lead to increased homozygosity
    (bottlenecking effect leads to loss of alleles)
  • Increased homozygosity decreases fitness, and
    thus places population at risk

34
Heath hen on Marthas Vineyard
  • Overhunting caused massive population decline
    until 1907
  • Population increased moderately thereafter
    (genetic risks?)
  • In 1916, fire, storm, cold winter, invasion
    reduced population to 50 pairs (demographic
    accidents-more genetic risk)
  • Subsequent years showed sex-ratio skewed toward
    males (demographic accident)
  • Extinct by 1932 (any habitat fragmentation?)

35
The end.
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