Lecture Five - Demography Flashcards

1
Q

What is the use of a mathematical model?

A

To describe the behaviour of a system in a mathematical language.

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2
Q

What is induction?

A

Prediction by recurrent patterns.

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3
Q

Give an example of induction.

A

The sun rose every day of my life so far, so it will rise tomorrow.

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4
Q

Give two limits to induction.

A
  • Applies to circumstances we’ve already seen, but can be tricky to predict in new circumstances.
  • Does not provide understanding of the mechanism.
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5
Q

What is deduction?

A

A prediction derived from postulates.

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6
Q

Give an example of deduction.

A

If the Earth spins, my side will face the sun eventually and the sun will rise tomorrow.

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7
Q

Give the equation for population growth.

A

dN / dt = Nr

Where r is a constant.

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8
Q

What are the assumptions for the model of population growth?

A

Every individual is identical.

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9
Q

What are the three possible conservation efforts in different age groups in loggerhead turtles?

A
  • adults running into fishing nets
  • caring for juveniles
  • producing egg sites on beaches
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10
Q

What is life history?

A

Age-specific survivorship and fecundity.

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11
Q

How is survivorship calculated?

A

The percentage of individuals in an age group that have survived from the previous age group.

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12
Q

What is Pi in survivorship?

A

The proportion of individuals surviving stage i — the likelihood of getting into each particular life stage.

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13
Q

What kind of survivorship curve do humans follow?

A

Type 1 - most survive into a certain point where numbers drop dramatically.

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14
Q

Give an example of two groups of organisms that follow survivorship curve Type III.

A
  • Trees

- Fish

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15
Q

What are Markov chains?

A

A mathematical device for modelling change in states over time.

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16
Q

What is a Leslie Matrix?

A

An age-structured model of population growth.

17
Q

In a Leslie Matrix, what is

a) F1?
b) P1?

A

a) F1 = the fecundity of individuals in age class 1.

b) P1 = the probability of surviving through age class 1.

18
Q

Give the equation to predict the number of individuals within the next time frame using the Leslie Matrix.

A

n(t + 1) = A n(t)

Where n(t) = population at time t
A = the matrix.
19
Q

What is the top row of the matrix for n(t+1)?

A

The number of newborns you will have next time.