Methods
No linear relationship was found between NO2 tropospheric column and no3-, but both well simulated by Y=y0+a*sin (b*x+c ) +e*x indicating NO2 tropospheric column could reflect the trend of no3-but is difficult to quantify no3-.
Data
(1) User defined Function:y=y0+a*sin (b*x+c) +e*x in SigmaPlot
First, generate scatter
Second, define the function "Y=y0+a*sin (b*x+c) +e*x"
equation:
pi=3.14159265358979
f = Y0+a*sin (2*pi*x/b+c)
Fit F to Y
' Fit f to y with weight reciprocal_y
' Fit f to y with weight reciprocal_ysquare
' Fit f to y with weight reciprocal_pred
' Fit f to y with weight reciprocal_predsqr
vavriables:
x = col (1) ' {{prevmin:0.000000}} {{prevmax:5.000000}} {{intervals:100}}
y = col (2)
Reciprocal_y = 1/abs (y)
Reciprocal_ysquare = 1/y^2
reciprocal_pred = 1/abs (f)
RECIPROCAL_PREDSQR = 1/f^2
' Automatic Initial Parameter Estimate Functions
F (q) = SINP (x, y)
Initial Parameters:
A = F (0) [1] ' Auto {{previous:95}}
b = if (f (0) [2]<>0, F (0) [2], 1) ' Auto {{previous:1.8}}
c = F (0) [3] ' Auto {{previous:. 5}}
Y0 = mean (y) ' Auto {{previous:5}}
Constraits
A>0
B>0
c>-6.28
c<6.28
Third, gernrate the curve
Additional Procedure:
Multiple lines:
Linear trend, then, right click, Curve fit, Line/scatter
(2) made "Y=y0+a*sin (b*x+c) +e*x" in Matlab
Cftool-v1
The composition, seasonal variation and potential sources of the atmospheric wet sulfur (S) and nitrogen (N) _method