Chapter 5: Stochasticity in Growth Rates Flashcards

1
Q

discrete (geometric) growth rate λ

A

the ratio of abundance in year t+1 (Nt+1) to abundance in year t (Nt)

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2
Q

λ =

A

Nt+1 / Nt

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3
Q

NT =

A

N0 * λ^T

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4
Q

continuous (exponential) growth rate

A

the instantaneous per capita growth rate

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5
Q

discrete (geometric) growth rate equations

A

λ = Nt+1 / Nt
NT = N0 * λ^T

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6
Q

r =

A

ln(λ)

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7
Q

λ =

A

e^r

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8
Q

continuous (exponential) growth rate equations

A

r = ln(λ)
λ = e^r

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9
Q

when use an exponential growth model for wild populations?

A
  • in newly established populations
  • populations recovering from catastrophic declines
  • invasive, pest outbreaks
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10
Q

population growth is often variable

A

stochastic

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11
Q

2 population growth variances

A
  • sample variance
  • process variance
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12
Q

which variance is visualized with error bars?

A

sample variance

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13
Q

what causes stochasticity in growth rate over time?

A
  • sample variance
  • process variance
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14
Q

stochasticity

A

variation or bounce

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15
Q

sample variance

A
  • aka observational error
  • nature isn’t varying, but our estimation error makes it seem like it is
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16
Q

process variance definition

A
  • the one actually affecting changes in abundance and the one we care about
17
Q

process variance: internal drivers

A
  • age structure
  • sex ratios
  • density dependence
  • connectivity
18
Q

process variance: changes due to interacting species

A
  • predation
  • competition
  • parasitism
  • human harvest
19
Q

process variance: stochastic factors

A
  • environmental stochasticity
  • demographic stochasticity
20
Q

process variance factors

A
  • internal drivers
  • changes due to interacting species
  • stochastic (random) factors
21
Q

environmental stochasticity

A

due to extrinsic factors that cause mean vital rates to change randomly over time

22
Q

example of an extrinsic factor

23
Q

forms of environmental stochasticity

A
  • drought
  • early springs
  • warmer winters
  • summers
  • hurricanes
  • forest fires
24
Q

are the effects of environmental stochasticity more or less dependent on population size?

25
what causes demographic stochasticity?
due to random deviations from mean birth and death rates
26
demographic stochasticity population is made up of...
an integer number of individuals
27
what size population is important in demographic stochasticity?
small populations
28
does demographic stochasticity cause deviations?
yes, deviations from the 50:50 sex ratio
29
how does demographic stochasticity arise?
arises strictly from population size and not from environmental variability
30
demographic stochasticity causes...
unexpected declines in small populations
31
how do you estimate exponential trends for wild populations?
regress log abundance sizes against time, the slope of the regression is r
32
state space models to estimate growth rate can estimate:
- population trend in the presence of both process and sample variance - how much of the total variance comes from each
33
state space models to estimate growth rate is ...
math and data heavy