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Accounting for uncertainty when estimating Pleistocene megafauna extinction times Corey J. A. Bradshaw1,2, Barry W. Brook1, Chris S. M. Turney3, Alan Cooper1,4 1THE ENVIRONMENT INSTITUTE, University of Adelaide; 2South Australian Research & Development Institute; 3School of Geography, University of Exeter; 4Australian Centre for Ancient DNA
[object Object]
when a species becomes increasingly rare before extinction, might persist unseen for many years
so the time of last sighting often poor estimate of extinction datex x x x x x x x x x x ? ? present past Roberts & Solow 2003 Nature 426:245
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joint distribution of k same Weibull form regardless of parent distribution
estimated extinction time q
L: symmetric k×k matrix
n: Estimated shape parameter of joint Weibull distribution of kCI q x x x x x x x x x x x present past Roberts & Solow 2003 Nature 426:245
[object Object]
assume true ages U independent/uniformly distributed over (b1,g1) where b1 = extinction date
PDF of Xj:b1 x x x x x x x x x x x present past Solow et al. 2006 PNAS 103:7351
[object Object]
length of period since last sighting informative
given previous sighting rate(n/tn), probability of next sighting
where p drops below threshold with increasing T-tn, TE inferredTE x x x x x x x x x x x present past McInerny et al. 2006 ConservBiol20:562
[object Object]
declining influence of dates within time since last sighting
sequentially recalculated TE, weighting by cumulative distance from T1T1 TE x x x x x x x x x x x present past
[object Object]
declining influence of dates within time since last sighting
sequentially recalculated TE, weighting by cumulative distance from T1T1 TE x x x x x x x x x x x present past x x x x x x x x x x x ,[object Object],[object Object],[object Object]

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Accounting for uncertainty when estimating Pleistocene megafauna extinction times