1987 Volume 22 Issue 2 Pages 137-144
We examined the distributions of s-hr averaged concentrations by δ2-δ3 diagram test and derived the following results:
(1) The distribution of s-hr averaged concentrations is the same as the hourly distribution at most of the monitoring stations.
(2) The Point (δ2, δ3) moves straightly to origin as increasing averaging time on δ2-δ3 diagram.
From these results, we propose the new arrowhead chart model which fit the observed data better than any other model when air pollutant concentrations are approximated to Pearson distributions. This model is numerically expressed as follows:
μ1'(s)=μ1'(1)
δ2 (s)=δ2 (1) G (s)/G (1)
δ3 (s)=δ3 (1) G (s)/G (1),
where μ1'(1), μ1'(s): means of hourly concentrations and s-hr averaged concentrations respectively,
δ2(1), δ2(s): variance coefficicnts of hourly concentrations and s-hr averaged concentrations respectively,
δ3 (1), δ3 (s): skewness coefficients of hourly concentrations and s-hr averaged concentrations respectively,
G (s) =2/s∫s0 (1-τ/s)γ(τ) dτ, γ(τ): auto-correlation coefficient.
Using this arrowhcad chart modcl, we investigate the method of estimating δ2 (1) and δ3 (1) from δ2 (s) and δ3 (s) when auto-correlation coefficient is approximated to exponential curve or exponential curve plus sine wave.
