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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 />

considerable uncertainty regarding those projections, <strong>and</strong> this uncertainty should always<br />

be considered when making long-term decisions about investment, policy or<br />

infrastructure.<br />

4.2 Selected Approach<br />

Based on a review of available methods, <strong>and</strong> considering the objectives <strong>and</strong> constraints<br />

of the current work, an approach employing extreme value statistics was judged to be<br />

the best approach for estimating the sensitivity of short-term precipitation to projected<br />

climate. This approach, described in Towler, et al., (2010) (published after compilation<br />

of the Technical Guide), involves fitting linear models of the parameters of an extreme<br />

value distribution of a short-term variable to predictor variables, usually long term<br />

variables, referred to as ―covariates‖. We refer to this statistical model as the ―intensity<br />

model‖. The method, which is sometimes referred to as generalized linear models<br />

(GLM) (Furrer <strong>and</strong> Kaatz, 2007), allows modeling of variables that do not have a normal<br />

distribution as well as discrete variables, such as precipitation occurrence.<br />

In the approach described below the climate predictor variables used to force the GLM<br />

model of climate sensitivity are developed using a delta approach <strong>and</strong> the final adjusted<br />

values of precipitation intensity are in turn calculated by a second application of the<br />

delta approach to the output of the GLM model. The delta approach <strong>and</strong> its application<br />

are described below.<br />

4.3 Data Diagnostics<br />

A diagnostic analysis was conducted to determine the strength of available long-term<br />

climate variables for predicting short-term precipitation. The available projected climate<br />

variables were monthly precipitation depth <strong>and</strong> monthly average temperature. These<br />

variables could also be calculated from the local historical climate record. Three<br />

variables, monthly total precipitation, monthly average temperature <strong>and</strong> the product of<br />

those two variables were tested for their strength as a predictor of extreme precipitation.<br />

The strength of a predictor was assessed using the coefficient of determination<br />

estimated using linear regression. These analyses were made using the statistical<br />

package ―R‖ (http://www.r-project.org/).<br />

The results of this analysis revealed that statistically significant predictors could not be<br />

found for annual precipitation extremes. However, significant predictors were found for<br />

many durations for many months. Table 4-1 <strong>and</strong> Table 4-2 show the occurrence of<br />

extreme precipitation at Deer Lake <strong>and</strong> St. John’s A respectively: shaded cells indicate<br />

a month <strong>and</strong> duration for which snow was a possibility <strong>and</strong>, due to the lack of accurate<br />

snowfall recording at the stations, extreme precipitation data could not be verified. On<br />

this basis we elected to model the occurrence of monthly extremes between May <strong>and</strong><br />

October, the maximum of which would represent the annual extreme.<br />

AMEC Environment & Infrastructure 19

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