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K - College of Natural Resources - University of California, Berkeley

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tracing, with the stated goal <strong>of</strong> determining the original “primary” cases <strong>of</strong> the outbreak<br />

(i.e. those who had acquired infection directly from the zoonotic reservoir). Cases (or<br />

their next <strong>of</strong> kin) were asked to identify persons from whom they had probably acquired<br />

the disease, who were in turn asked to identify who had infected them. Primary cases<br />

were defined as those whose sources <strong>of</strong> infection could not be identified. Prospective<br />

contact tracing was conducted to the extent that lists <strong>of</strong> contacts <strong>of</strong> identified cases<br />

(information that was “routinely collected”) were matched with a list <strong>of</strong> reported cases.<br />

This data collection technique may bias the dataset toward surviving chains <strong>of</strong><br />

transmission, since these are the ones that lead to the later-generation cases from which<br />

contact tracing began. The effort at prospective contact tracing would have mitigated<br />

this to some extent, but the level <strong>of</strong> tracing effort was certainly lower than for the<br />

retrospective work. The resulting dataset is conspicuously low in Z=0 entries, just as<br />

we would expect for a methodology that is biased against detecting chains that have<br />

died out.<br />

Measles, US 1997-1999 (Gay et al. 2004)<br />

In this summary <strong>of</strong> measles elimination efforts in the United States, 165 separate<br />

chains <strong>of</strong> measles transmission were identified (<strong>of</strong> which 107 were classified as<br />

importations). 122 outbreaks consisted <strong>of</strong> a single case with no secondary transmission<br />

(yielding an estimate <strong>of</strong> p0=122/165). Insufficient data were reported to estimate R<br />

directly, but estimation <strong>of</strong> R was a major goal <strong>of</strong> the source paper so we used their<br />

estimate and 95% confidence interval. These estimates <strong>of</strong> R were derived from three<br />

approaches, all based on the assumption that Z~Poisson(R). Our analysis shows that the<br />

166

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