Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Assessing the impacts of time to detection distribution assumptions on
  detection probability estimation   Abundance estimates from animal point-count surveys require accurate
estimates of detection probabilities. The standard model for estimating
detection from removal-sampled point-count surveys assumes that organisms at a
survey site are detected at a constant rate; however, this assumption is often
not justified. We consider a class of N-mixture models that allows for
detection heterogeneity over time through a flexibly defined time-to-detection
distribution (TTDD) and allows for fixed and random effects for both abundance
and detection. Our model is thus a combination of survival time-to-event
analysis with unknown-N, unknown-p abundance estimation. We specifically
explore two-parameter families of TTDDs, e.g. gamma, that can additionally
include a mixture component to model increased probability of detection in the
initial observation period. We find that modeling a TTDD by using a
two-parameter family is necessary when data have a chance of arising from a
distribution of this nature. In addition, models with a mixture component can
outperform non-mixture models even when the truth is non-mixture. Finally, we
analyze an Overbird data set from the Chippewa National Forest using mixed
effect models for both abundance and detection. We demonstrate that the effects
of explanatory variables on abundance and detection are consistent across
mixture TTDDs but that flexible TTDDs result in lower estimated probabilities
of detection and therefore higher estimates of abundance.

27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg