Leslie Matrices (VCE SSCE General Mathematics): Quizzes

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Leslie Matrices
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Why are only female members counted in Leslie matrix population models?

Females give birth to new members

What is the valid range for survival rates sis_i in a Leslie matrix?

0si10 \leq s_i \leq 1

What does the birth rate bib_i represent?

Avg female offspring from age group ii

Where are birth rates located in a Leslie matrix?

In the first row

Where are survival rates located in a Leslie matrix?

Just below the main diagonal

Which formula finds population state after nn time periods?

Sn=LnS0S_n = L^n S_0

What is the survival rate of the final age group?

Always 0

What long-term behaviors can Leslie matrix populations exhibit?

Increase, decrease, stabilize, oscillate

If s2=0.95s_2 = 0.95, what percentage of age group 2 survives?

95%

What is the recursive formula for population state?

Sn+1=LSnS_{n+1} = L S_n

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