CRD 01-15

Table 1. Assumptions for three methods that can be used to estimate the bycatch rate of coastal bottlenose dolphins and if it was found to be valid.

Assumption Tested Valid
Ratio Method
1. The relationship between the numerator (number of dolphins) and denominator (landings kept) of the ratio estimator is a straight line through the origin. No
2. The variance of the landings kept about the above line is proportional to the number of dolphin takes. Yes
3. The CV's of the numerator and denominator should be less than 10%. No

The sample size within a stratum exceeds 30.

Yes
Delta-distribution Method
1. The data can be easily divided into events with a zero bycatch rate and a positive bycatch rate and the data are dominated by a large proportion of zeros. Yes
2. Positive bycatch rates follow a log-normal distribution. Yes

There are no small departures of the log-normal distribution, especially for small positive values.

No

The sample size of positive events is greater than 15 within a stratum.

No

Log-linear Regression Method
1. The bycatch rates follow a Poisson distribution, or Yes
2. The variance in the bycatch rate is constant over the range of the bycatch rate values. Yes

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(File Modified Nov. 19 2010)