Table 1. Evidence for decelerating waves in WNV in NYC for 2000–2008.
Year | Birds | Mosquito | Combined | ||||
ρ | p-value | ρ | p-value | ρ | p-value | ||
Convex hull | 2000 | −0.44 | 3.63×10−8 | −0.236 | 0.0196 | −0.461 | 9.16×10−9 |
2001 | −0.11 | 0.141 | −0.225 | 0.0125 | −0.260 | 3.98×10−3 | |
2002 | −0.245 | 0.00353 | −0.187 | 0.0353 | −0.331 | 1.02×10−4 | |
2003 | −0.374 | 5.93×10−5 | −0.385 | 1.51×10−4 | −0.497 | 4.66×10−8 | |
2004 | −0.188 | 0.0397 | −0.193 | 0.0238 | −0.175 | 0.0336 | |
2005 | −0.0033 | 0.486 | −0.254 | 0.015 | −0.123 | 0.103 | |
2006 | −0.299 | 0.00596 | −0.24 | 0.0101 | −0.286 | 2.76×10−3 | |
2007 | −0.125 | 0.119 | −0.314 | 1.79×10−3 | −0.371 | 1.94×10−4 | |
2008 | −0.145 | 0.0713 | |||||
Maximum distance | 2000 | −0.234 | 0.00316 | −0.129 | 0.131 | −0.26 | 0.00114 |
2001 | −0.174 | 0.0437 | −0.259 | 0.00484 | −0.331 | 0.000314 | |
2002 | −0.173 | 0.0296 | −0.2085 | 0.0219 | −0.231 | 0.00535 | |
2003 | −0.26 | 0.0044 | −0.254 | 0.00988 | −0.24155 | 0.006985 | |
2004 | −0.188 | 0.04 | −0.149 | 0.064 | −0.171 | 0.0368 | |
2005 | −0.0292 | 0.382 | −0.0975 | 0.206 | −0.04 | 0.3385 | |
2006 | −0.281 | 0.0198 | −0.2125 | 0.02 | −0.2125 | 0.0204 | |
2007 | −0.197 | 0.031 | −0.147 | 0.09 | −0.07575 | 0.238 | |
2008 | −0.16 | 0.052 | |||||
Boundary displacement | 2000 | −0.374 | 4.7×10−6 | −0.317 | 0.00447 | −0.401 | 8.39×10−7 |
2001 | −0.325 | 0.00197 | −0.25 | 0.00699 | −0.217 | 0.0163 | |
2002 | −0.424 | 5.59×10−6 | −0.297 | 0.00374 | −0.441 | 9.73×10−7 | |
2003 | −0.465 | 1.74×10−6 | −0.336 | 0.001 | −0.468 | 4.05×10−7 | |
2004 | −0.174 | 0.0662 | −0.3095 | 0.0015 | −0.309 | 0.0012 | |
2005 | −0.191 | 0.0442 | −0.315 | 0.00503 | −0.266 | 0.00607 | |
2006 | −0.156 | 0.111 | −0.218 | 0.0191 | −0.269 | 0.005 | |
2007 | −0.2435 | 0.0244 | −0.416 | 8.325×10−5 | −0.4415 | 1.31×10−5 | |
2008 | −0.272 | 0.0059 |
P-values obtained from one-tailed hypothesis tests of Spearman's rank-order correlation between estimated wave speed and time elapsed. The extent of the infected area was estimated using three alternative methods: the convex hull encompassing all previous locations where WNV was detected, the average length of transects originating from the epicentre where they intersect these convex hulls, and the maximum Euclidean distance from the initial infected location (see Materials and Methods for details). The wave speed of WNV was calculated by dividing the increase of the extent of the infected area by the time elapsed since the last increase in the extent, for WNV-positive dead birds, WNV-positive mosquito pools, or the combination of both WNV-positive dead birds and mosquito pools. Values in bold italic are significant at the Holm-Bonferroni corrected level, while regular bold figures are significant at the nominal α = 0.05 level. The combined analysis, providing the greatest statistical power, provides evidence at the Holm-Bonferroni corrected level for a decelerating wave in 7 out of the 8 years studied, and for all years at the α = 0.05 level.