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Documentation of the Evaluation of CALPUFF and Other Long ...

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Table 2‐2. Model performance metrics from Irwin (1997) <strong>and</strong> 1998 EPA <strong>CALPUFF</strong> <strong>Evaluation</strong><br />

(EPA, 1998a).<br />

Statistics Description<br />

Spatial<br />

Azimuth <strong>of</strong> Plume Centerline Comparison <strong>of</strong> <strong>the</strong> predicted angular displacement <strong>of</strong> <strong>the</strong> plume<br />

centerline from <strong>the</strong> observed centerline on <strong>the</strong> arc<br />

Plume Sigma‐y Comparison <strong>of</strong> <strong>the</strong> predicted <strong>and</strong> observed fitted plume widths<br />

(i.e., dispersion rate)<br />

Temporal<br />

Plume Arrival Time Compare <strong>the</strong> time <strong>the</strong> predicted <strong>and</strong> observed tracer clouds<br />

arrives on <strong>the</strong> receptor arc<br />

Transit Time on Arc Compare <strong>the</strong> predicted <strong>and</strong> observed residence time on <strong>the</strong><br />

receptor arc<br />

Performance<br />

Crosswind Integrated Concentration Compares <strong>the</strong> predicted <strong>and</strong> observed average concentrations<br />

across <strong>the</strong> receptor arc (CWIC)<br />

Observed/Calculated Maximum Comparison <strong>of</strong> <strong>the</strong> predicted <strong>and</strong> observed fitted Gaussian<br />

plume centerline (maximum) concentrations (Cmax) <strong>and</strong><br />

maximum concentration at any receptor along <strong>the</strong> arc Omax)<br />

The measures employed by Irwin (1997) <strong>and</strong> EPA (1998a) provide useful diagnostic information<br />

about <strong>the</strong> performance <strong>of</strong> LRT modeling systems, such as <strong>CALPUFF</strong>, but <strong>the</strong>y do not always lend<br />

<strong>the</strong>mselves easily to spatiotemporal analysis or direct model intercomparison.<br />

For tracer studies such as <strong>the</strong> Great Plains Tracer Experiment <strong>and</strong> Savannah River where distinct<br />

arcs <strong>of</strong> monitors were present, <strong>the</strong> Irwin plume fitting evaluation approach was used in this<br />

study.<br />

2.4.3 ATMES‐II Model <strong>Evaluation</strong> Approach<br />

The model evaluation methodology employed for this study was designed following <strong>the</strong><br />

procedures <strong>of</strong> Mosca et al. (1998) <strong>and</strong> Draxler et al. (2002). Mosca et al. (1998) defined three<br />

types <strong>of</strong> statistical analyses:<br />

• Spatial Analysis: Concentrations at a fixed time are considered over <strong>the</strong> entire domain.<br />

Useful for determining differences spatial differences between predicted <strong>and</strong> observed<br />

concentrations.<br />

• Temporal Analysis: Concentrations at a fixed location are considered for <strong>the</strong> entire<br />

analysis period. This can be useful for determining differences between <strong>the</strong> timing <strong>of</strong><br />

predicted <strong>and</strong> observed tracer concentrations.<br />

• Global Analysis: All concentration values at any time <strong>and</strong> location are considered in this<br />

analysis. The global analysis considers <strong>the</strong> distribution <strong>of</strong> <strong>the</strong> values (probability), overall<br />

tendency towards overestimation or underestimation <strong>of</strong> measured values (bias <strong>and</strong> error),<br />

measures <strong>of</strong> scatter in <strong>the</strong> predicted <strong>and</strong> observed concentrations <strong>and</strong> measures <strong>of</strong><br />

correlation.<br />

2.4.3.1 Spatial Analysis<br />

To examine similarities between <strong>the</strong> predicted <strong>and</strong> observed ground level concentrations, <strong>the</strong><br />

Figure <strong>of</strong> Merit in Space (FMS) is calculated at a fixed time <strong>and</strong> for a fixed concentration level.<br />

The FMS is defined as <strong>the</strong> ratio between <strong>the</strong> overlap <strong>of</strong> <strong>the</strong> measured (AM) <strong>and</strong> predicted (AP)<br />

areas above a significant concentration level <strong>and</strong> <strong>the</strong>ir union:<br />

15

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