This application estimates survival rates from periodically collected
data on the number of eggs and/or juveniles in followed clutches
and/or broods of an egg-laying species.
Publication:
Smith, B.D., W.S. Boyd, and M.R. Evans 2003. A statistical model
discriminating random and correlated mortality from laying to fledging:
Barrow’s Goldeneye as an example. Ecological Applications
(submitted).
Abstract:
Quantitative conservation methodologies such as Population Viability
Analysis (PVA) require reliable measurements of life history parameters
such as breeding success.
The utility of such metrics for egg-laying species is complicated
by our knowledge that the mortality of eggs in a clutch and juveniles
in a brood can occur both randomly and independently over time,
or catastrophically, such as in the sudden loss of a clutch or brood.
Not knowing the nature of breeding mortality events caused by
either or both of abiotic (e.g., weather, pesticides) and biotic
(e.g., predation, habitat alteration) circumstances limits our ability
to confidently assess a population’s demography and sustainability,
or test competing hypotheses.
Using the seaduck Barrow’s Goldeneye as an example, we describe
a multinomial likelihood model that estimates egg and juvenile survival
rates continuously from laying to fledging based on periodic observations
of individual clutches and broods.
Adjunct data, such as environmental or predation threat measurements,
can be included as covariate series for evaluating their influence
on the predicted survival rates of juveniles in a brood.
In our example we conclude that expected brood size on hatch day
is strongly positively correlated with the probability a juvenile
Barrow’s Goldeneye will survive to fledge.
We also discuss how knowledge of the effect of an environmental
variable on breeding success interpreted from our model can guide
conservation strategies that manipulate that variable.
Our model has a distinctive ability to statistically characterize
mortality between the extremes of random and catastrophic mortality;
and can determine if unwitnessed mortalities occurred independently
or were correlated (i.e., overdispersed, where catastrophe is extreme
overdispersion).
Overdispersion is estimated as a parameter of the beta-binomial
probability distribution of survivals, and thus differs from its
treatment in Program MARK where overdispersion is an a posteriori
diagnostic referred to as c-hat.
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