A simple quasi-Newton numerical scheme is applied to determine the hyp
othetical worst-case meteorology that will result in the maximum combi
ned concentrations at any receptor location in air quality modeling ov
er shea distances for multiple point sources. Also, a search procedure
is suggested to investigate the combination of location and atmospher
ic conditions of wind direction, wind speed, and stability that produc
es the highest possible ground-level concentration, the so-called crit
ical concentration. The proposed methodology may help in applications
in design of stacks, air quality management. and air pollution episode
control planning.