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Fine Scale Meteorology & Air Quality Models - School of Architecture ...

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ASI2_Lecture 3_7/12/2011<br />

Cell row: Cell column R 2<br />

Regression model <strong>of</strong> Shape & <strong>Scale</strong><br />

Wilmington grid cell 11:2<br />

Shape Linear-form Log-form<br />

11:2 (SW) 0.26 0.28<br />

11:3 (SE) 0.27 0.35<br />

12:2 (NW) 0.18 0.17<br />

12:3 (NE) 0.08 0.09<br />

Cell row: Cell column R 2<br />

<strong>Scale</strong> Linear-form Log-form<br />

11:2 (SW) 0.65 0.73<br />

11:3 (SE) 0.62 0.81<br />

12:2 (NW) 0.65 0.77<br />

12:3 (NE) 0.68 0.80<br />

C 12km = Concentration (12-km cell value)<br />

E 12km = Emissions (12-km cell value)<br />

σ E1km = Std. Dev. <strong>of</strong> Emission (based on 1-km cell<br />

value)<br />

Skew E1km = Skewness <strong>of</strong> Emission (based on 1-km cell<br />

value)<br />

Kurt E1km = Kurtosis <strong>of</strong> Emission (based on 1-km cell value)<br />

U* 12km = Ustar (12-km cell value)<br />

W* 12km = Wstar (12-km cell value)<br />

PBL 12km = PBL height (12-km cell value)<br />

WS10 12km = 10m Wind Speed (12-km cell value)<br />

WD10 12km = 10m Wind Direction (12-km cell value)<br />

T10 12km = 10m Temperature (12-km cell value)<br />

Q10 12km = 10m Mixing Ratio (12-km cell value)<br />

Linear form:<br />

Shape = 0.28+0.33 C 12km -0.19 E 12km +0.26 σ E1km -0.74Skew E1km +0.75Kurt E1km -0.33 U* 12km +0.10PBL 12km<br />

+0.36WS10 12km -0.09WD10 12km -0.14T10 12km +0.08Q10 12km<br />

<strong>Scale</strong> = 0.13+0.69 C 12km +0.11 E 12km -0.04Kurt E1km -0.27U* 12km +0.21W* 12km -0.10 PBL 12km + 0.04 T10 12km<br />

Logarithmic form:<br />

Shape = -0.22+0.37 C 12km –7.4x10 -05 E 12km -0.33 σ E1km -0.30k E12km +1.50Skew E1km +0.77Kurt E1km<br />

+0.14WS10 12km -0.01WD10 12km -0.17Q10 12km<br />

<strong>Scale</strong> = 1.25+0.74 C 12km +4.8x10 -05 E 12km +0.08 σ E1km -1.34k E12km 2.60Skew E1km +0.74Kurt E1km -0.19WS10 12km<br />

ASI 2: URBAN -0.01WD10 CLIMATE 12km AND -0.07Q10 AIR POLLUTION 12km,<br />

<strong>School</strong> <strong>of</strong> <strong>Architecture</strong>, The Chinese University <strong>of</strong> Hong Kong, Hong Kong, 7-8 Dec 2011<br />

Fitted Shape and <strong>Scale</strong> vs regression model<br />

1<br />

0.8<br />

0.6<br />

Series1<br />

Series2<br />

Series3<br />

0.4<br />

0.2<br />

0<br />

‐0.2<br />

1 101 201 301 401 501 601<br />

‐0.4<br />

1<br />

0.8<br />

0.6<br />

0.4<br />

0.2<br />

0<br />

‐0.2<br />

Series1<br />

Series2<br />

Series3<br />

1 101 201 301 401 501 601<br />

Shape based on Regression<br />

1<br />

0.8<br />

0.6<br />

0.4<br />

0.2<br />

0<br />

0 0.2 0.4 0.6 0.8 1<br />

‐0.4<br />

Best it Shape<br />

ASI 2: URBAN CLIMATE AND AIR POLLUTION <strong>School</strong> <strong>of</strong> <strong>Architecture</strong>, The Chinese University <strong>of</strong> Hong Kong, Hong Kong, 7-8 Dec 2011<br />

30

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