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Flood Risk and Vulnerability Analysis Project - Atlantic Climate ...

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Development of <strong>Project</strong>ed Intensity-Duration-Frequency Curves<br />

for Corner Brook <strong>and</strong> Goulds/Petty Harbour, Newfoundl<strong>and</strong> May 16, 2012<br />

Figure 4-1 - Development of Adjusted Observed <strong>Climate</strong> Using the Delta Method<br />

Simulated<br />

Future<br />

<strong>Climate</strong><br />

“Deltas”<br />

Adjust<br />

(Eqns. 1 & 2)<br />

Current<br />

<strong>Climate</strong><br />

Simulated<br />

Overlap<br />

<strong>Climate</strong><br />

Adjusted<br />

Observed<br />

<strong>Climate</strong><br />

In adjusting precipitation the ―delta‖ is in the form of a ratio as shown in Equation 1.<br />

Psf<br />

Pp<br />

Pc<br />

(1)<br />

P<br />

Where: P sf is the simulated future precipitation, P so is the simulated overlap<br />

precipitation, P c is the current observed precipitation <strong>and</strong> P p is the projected future<br />

precipitation.<br />

so<br />

In adjusting temperature, the ―delta‖ was in the form of an offset, as shown in Equation<br />

2.<br />

T<br />

p<br />

c<br />

<br />

sf<br />

so<br />

<br />

T T T<br />

(2)<br />

Where: T sf is the simulated future temperature, T so is the simulated overlap temperature,<br />

T c is the current observed temperature <strong>and</strong> T p is the projected future temperature.<br />

The GLM also exhibits inherent bias. In principal every aspect of the method<br />

Environment Canada uses to develop IDF curves could be duplicated which would allow<br />

for exact replication of the historical precipitation intensities. However, once the<br />

distributions are modified in the GLM framework to include covariates, the method <strong>and</strong><br />

results would deviate from those of Environment Canada. Further, the available GLM<br />

fitting routines use different statistical packages <strong>and</strong> a different method of fitting<br />

(maximum likelihood rather than the method of moments) than is used by Environment<br />

Canada. Because these differences will introduce bias into the estimates of<br />

precipitation intensities, a second application of the delta method was applied to adjust<br />

AMEC Environment & Infrastructure 24

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