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

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<strong>CALPUFF</strong> performance is evaluated by calculating <strong>the</strong> predicted <strong>and</strong> observed cross‐wind<br />

integrated concentration (CWIC), azimuth <strong>of</strong> plume centerline, <strong>and</strong> <strong>the</strong> second moment <strong>of</strong><br />

tracer concentration (lateral dispersion <strong>of</strong> <strong>the</strong> plume [σy]). The CWIC is calculated by<br />

trapezoidal integration across average monitor concentrations along <strong>the</strong> arc. By assuming a<br />

Gaussian distribution <strong>of</strong> concentrations along <strong>the</strong> arc, a fitted plume centerline concentration<br />

(Cmax) can be calculated by <strong>the</strong> following equation:<br />

Cmax = CWIC/[(2π) ½ σy]<br />

The measure σy describes <strong>the</strong> extent <strong>of</strong> plume horizontal dispersion. This is important to<br />

underst<strong>and</strong>ing differences between <strong>the</strong> various dispersion options available in <strong>the</strong> <strong>CALPUFF</strong><br />

modeling system. Additional measures for temporal analysis include plume arrival time <strong>and</strong> <strong>the</strong><br />

plume transit time on arc. Table ES‐1 summarizes <strong>the</strong> spatial, temporal <strong>and</strong> concentration<br />

statistical performance metrics used in <strong>the</strong> fitted Gaussian plume evaluation methodology.<br />

Table ES‐1. Model performance metrics used in <strong>the</strong> fitted Gaussian plume evaluation<br />

methodology from Irwin (1997) <strong>and</strong> 1998 EPA <strong>CALPUFF</strong> <strong>Evaluation</strong> (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 plume 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 />

Concentration<br />

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

across <strong>the</strong> receptor arc<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 />

Spatial, Temporal <strong>and</strong> Global Statistics <strong>Evaluation</strong> Approach<br />

The model evaluation methodology as employed in ATMES‐II (Mosca et al., 1998) <strong>and</strong><br />

recommended by Draxler et al., (2002) was also used in this study. This approach defines 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),<br />

overall tendency towards overestimation or underestimation <strong>of</strong> measured values (bias<br />

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

measures <strong>of</strong> correlation.<br />

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