F13 lecture 10

# Ng in small populaons inbreeding can mean true

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Unformatted text preview: 14 - 3.7 13.69 5 31 13.3 176.89 6 22 4.3 18.49 7 15 - 2.7 7.29 8 16 - 1.7 2.89 9 10 - 7.7 59.29 10 7 - 10.7 114.49 17.7 =avg # oﬀspring 87.12222222 =variance manually calculated 87.1222222 =variance using excel func7on ﬂuctua7ons ([email protected]) and Ne •  1/Ne = (1/t)*(1/N1 + 1/N2 + ... + 1/Nt) •  this is known sta7s7cally/mathema7cally as the harmonic mean –  harmonic mean is aﬀected strongly by small numbers example from the book III year 1954 1955 1956 1957 N 11,000 2000 11,000 16,000 1/Ne = ¼(1/11,000 + 1/2000 + 1/11,000 + 1/16,000) 1/Ne = 0.000186 Ne = 5374 E,B, Ford and co-workers, moth Panaxia dominula (scarlet tiger moth) in England [email protected]://en.wikipedia.org/wiki/Scarlet_7ger_moth therefore •  to es7mate Ne, need to know the popula7on history •  also, in previous example, used Na, which is probably much greater than Ne for each year –  therefore it is likely to be a substan7al overes7mate founder events •  forma7on of a new popula7on from a small group of colonists •  many popula7ons have this in their history –  peripheral popula7ons –  popula7ons...
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