APES Formulas

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9 Terms

1
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Rule of 70 (Doubling Time) - Keep rate as percentage

Dt = 70/R

2
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Simple Annual Growth

Nt+1 = Nt + (Births - Deaths) + (Immigration - Emmigration)

3
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Annual Change

ΔN / Δt

4
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Simple Exponential Growth (Use intrinsic rate)

dN/dt = rN

5
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Exponetial Growth in definite time (j-curve)

Nt+1 = Nert

6
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Logistic Growth (s-curve)

dN/dt = rN(1 - N/K)

7
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Simpson’s Diversity Index (SPI)

D = 1 - ∑n(n-1) / N(N-1)

8
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Sequential Comparison Index

D = # of runs / Total # of individuals

9
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Lincoln-Petersen Index

^N = M x S / R