2.2.3 The Long‑Term Area Source Model

The ISC Long Term Area Source Model is based on the numerical integration algorithm for modeling area sources used by the ISC Short Term model, which is described in detail in Section 1.2.3.  For each combination of wind speed class, stability category and wind direction sector in the STAR meteorological frequency summary, the ISC Long Term model calculates a sector average concentration by integrating the results from the ISC Short Term area source algorithm across the sector.  A trapezoidal integration is used, as follows:

where:

χi

=    the sector average concentration value for the ith sector

 S =    the sector width

 fij =    the frequency of occurrence for the jth wind direction in the ith sector

 ε(θ) =    the error term - a criterion of ε(θ) < 2 percent is used to check for convergence of the sector average calculation

 χ(θij) =    the concentration value, based on the numerical integration algorithm using Equation (1-58) for the jth wind direction in the ith sector

 θij =    the jth wind direction in the ith sector, j = 1 and N correspond to the two boundaries of the sector.

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