To count whale populations, the capture is done by means of a photograph, and the

Chapter 14, Problem 9

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QUESTION:

To count whale populations, the capture is done by means of a photograph, and the tagging is done by identifying each captured whale through their unique individual pigmentation and markings. To estimate the population of gray whales in a region of the Pacific between Northern California and Southeast Alaska, 121 gray whales were captured and tagged in 2007. In 2008, 172 whales were recaptured. Of these, 76 had been tagged in the 2007 survey. Based on these figures, estimate the population of gray whales in the region. [Source: Calambokidis, J., J.L. Laake and A. Klimek, Abundance and population structure of seasonal gray whales in the Pacific Northwest, 19982008. Paper IWC/62/BRG32 submitted to the International Whaling Commission Scientific Committee, 2010.]

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QUESTION:

To count whale populations, the capture is done by means of a photograph, and the tagging is done by identifying each captured whale through their unique individual pigmentation and markings. To estimate the population of gray whales in a region of the Pacific between Northern California and Southeast Alaska, 121 gray whales were captured and tagged in 2007. In 2008, 172 whales were recaptured. Of these, 76 had been tagged in the 2007 survey. Based on these figures, estimate the population of gray whales in the region. [Source: Calambokidis, J., J.L. Laake and A. Klimek, Abundance and population structure of seasonal gray whales in the Pacific Northwest, 19982008. Paper IWC/62/BRG32 submitted to the International Whaling Commission Scientific Committee, 2010.]

ANSWER:

 

Step 1 of 2

To estimate the number of whales population Since in this problem number of sample relies on three variable we will use two sample method or capture-recapture method.

By definition the method is

where  and  are first and second sample size

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