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Final Technical Report: - Southwest Fisheries Science Center - NOAA

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Table 8. Geographically stratified estimates of abundance (N), density (D), coefficient of variation (CV), and<br />

lognormal 90% confidence intervals of density for unmodeled cetacean species within EEZ waters of the Hawaiian<br />

Islands.<br />

HAWAIIAN ISLANDS (Barlow 2006, Barlow and Rankin 2007)<br />

Species Area N CV D L90% U90%<br />

Offshore spotted dolphin Outer EEZ stratum 4,695 0.485 0.00210 0.00099 0.00445<br />

Main HI Islands stratum 4,283 0.485 0.02012 0.00947 0.04274<br />

Striped dolphin Hawaiian EEZ 13,143 0.464 0.00536 0.00260 0.01105<br />

Spinner dolphin<br />

Outer EEZ stratum 1,863 0.737 0.00083 0.00028 0.00245<br />

Main HI Islands stratum 1,488 0.737 0.00699 0.00237 0.02059<br />

Rough-toothed dolphin Hawaiian EEZ 8,709 0.450 0.00355 0.00176 0.00718<br />

Bottlenose dolphin Hawaiian EEZ 3,215 0.586 0.00131 0.00054 0.00320<br />

Risso's dolphin Hawaiian EEZ 2,372 0.647 0.00097 0.00037 0.00255<br />

Fraser's dolphin Hawaiian EEZ 10,226 1.156 0.00417 0.00092 0.01888<br />

Melon-headed whale Hawaiian EEZ 2,950 1.172 0.00120 0.00026 0.00553<br />

Pygmy killer whale Hawaiian EEZ 956 0.826 0.00039 0.00012 0.00127<br />

False killer whale Hawaiian EEZ 484 0.930 0.00020 0.00005 0.00072<br />

Short-finned pilot whale Outer EEZ stratum 5,680 0.380 0.00254 0.00139 0.00463<br />

Main HI Islands stratum 3,190 0.380 0.01498 0.00821 0.02735<br />

Killer whale Hawaiian EEZ 349 0.982 0.00014 0.00004 0.00055<br />

Sperm whale Hawaiian EEZ 6,919 0.806 0.00282 0.00088 0.00900<br />

Pygmy sperm whale Hawaiian EEZ 7,138 1.124 0.00291 0.00066 0.01282<br />

Dwarf sperm whale Hawaiian EEZ 17,519 0.742 0.00714 0.00241 0.02115<br />

Small beaked whale Hawaiian EEZ 371 1.172 0.00015 0.00003 0.00069<br />

Blainville's beaked whale Hawaiian EEZ 2,872 1.250 0.00117 0.00024 0.00575<br />

Cuvier's beaked whale Hawaiian EEZ 15,242 1.434 0.00621 0.00110 0.03516<br />

Longman's beaked whale Hawaiian EEZ 1,007 1.256 0.00041 0.00008 0.00202<br />

Sei whale Hawaiian EEZ 469 0.452 0.00019 0.00009 0.00039<br />

3.6 Variance Estimation<br />

The output from an ecological model is an approximation to truth (Burnham and<br />

Anderson 1998); as such, it has two components: a point estimate (such as the predicted number<br />

of whales resulting from a GAM) and an estimate of uncertainty associated with the point<br />

estimate. There are numerous sources of uncertainty in the cetacean-habitat population density<br />

models described in Section 3.3. The survey design is a source of uncertainty because altering<br />

the spatial or temporal distribution of the survey transects would have produced a different set of<br />

cetacean and oceanographic data. The process of sighting the animals is stochastic, with some<br />

unknown probability that animals within sighting distance will be detected. The environmental<br />

data used as predictor variables in the GAMs have measurement error. Sampling error arises<br />

from the stochasticity inherent in the process generating the encounter rates and group sizes.<br />

Error is introduced when parameters are estimated in fitting the detection functions to estimate<br />

f(0) and in building the encounter rate and group size GAMs. Model selection errors are<br />

associated with designing the model structure and choosing the appropriate predictor variables<br />

and their corresponding degrees of freedom. <strong>Final</strong>ly, there is a component of uncertainty due to<br />

a disassociation between the animals’ distribution and the predictor variables used to try to<br />

understand the ecology of the system. To complicate matters, the sources of uncertainty outlined<br />

35

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