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Note that the entries in the tables below are derived directly from the values of the Other Proxy as listed in<br />

Table 3.7 Final Values of Proxy .<br />

Table 3.18 Cross-City Other Proxy Ratios<br />

2003 Atlanta Dallas Denver Miami San Diego Seattle DC<br />

Atlanta 1.00 1.17 0.52 1.06 0.59 0.67 1.02<br />

Dallas 0.86 1.00 0.44 0.91 0.50 0.57 0.87<br />

Denver 1.94 2.26 1.00 2.06 1.14 1.30 1.98<br />

Miami 0.94 1.10 0.49 1.00 0.55 0.63 0.96<br />

San Diego 1.71 1.99 0.88 1.81 1.00 1.14 1.74<br />

Seattle 1.49 1.74 0.77 1.58 0.88 1.00 1.52<br />

DC 0.98 1.14 0.51 1.04 0.58 0.66 1.00<br />

2007 Atlanta Dallas Denver Miami San Diego Seattle DC<br />

Atlanta 1.00 1.18 0.43 0.92 0.51 0.62 1.05<br />

Dallas 0.85 1.00 0.36 0.78 0.43 0.52 0.89<br />

Denver 2.33 2.76 1.00 2.14 1.18 1.45 2.45<br />

Miami 1.09 1.29 0.47 1.00 0.55 0.68 1.15<br />

San Diego 1.97 2.33 0.85 1.81 1.00 1.22 2.08<br />

Seattle 1.61 1.90 0.69 1.48 0.82 1.00 1.70<br />

DC 0.95 1.12 0.41 0.87 0.48 0.59 1.00<br />

1.4.5. Positivity Constraints<br />

Table 3.19 Cross-Year Other Proxy Ratios<br />

City 2007/2003<br />

Atlanta 1.17<br />

Dallas 1.18<br />

Denver 0.97<br />

Miami 1.01<br />

San Diego 1.01<br />

Seattle 1.08<br />

DC 1.20<br />

Finally, sufficient reasoning about the semantics of the variables yields additional constraints requiring<br />

that their values be positive and well-separated from 0. Toward this, for each city and choice of<br />

time index , we have<br />

46

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