gist 23, dwd offenbach, 27-29 april 2005 diurnal cycle of surface radiation budget g. l. smith, p....

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Diurnal Cycle of Surface Radiation Budget G. L. Smith, P. E. Mlynczak, S. K. Gupta and P. W. Stackhouse

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Page 1: GIST 23, DWD Offenbach, 27-29 April 2005 Diurnal Cycle of Surface Radiation Budget G. L. Smith, P. E. Mlynczak, S. K. Gupta and P. W. Stackhouse

Diurnal Cycle of Surface Radiation Budget

G. L. Smith, P. E. Mlynczak,

S. K. Gupta and P. W. Stackhouse

Page 2: GIST 23, DWD Offenbach, 27-29 April 2005 Diurnal Cycle of Surface Radiation Budget G. L. Smith, P. E. Mlynczak, S. K. Gupta and P. W. Stackhouse

Data Set

• Surface Radiation Budget Data Set.• 1o Resolution in Lat/Long equal area.• 12 Year set: July 1983 - June 1995• Used Monthly Means for July.• Surface radiation flux components:

Upward, Downward and Net Shortwave and Longwave and Net Total

Page 3: GIST 23, DWD Offenbach, 27-29 April 2005 Diurnal Cycle of Surface Radiation Budget G. L. Smith, P. E. Mlynczak, S. K. Gupta and P. W. Stackhouse

Computation of Diurnal Cycle

• Data given for every 3 hours GMT for each 1ox1o region

• Use cubic spline to interpolate for very hour of local time for each region

• This gives diurnal cycle for each region

Page 4: GIST 23, DWD Offenbach, 27-29 April 2005 Diurnal Cycle of Surface Radiation Budget G. L. Smith, P. E. Mlynczak, S. K. Gupta and P. W. Stackhouse

Study for JulyDiurnal cycle is strongest over land in

summer and Northern Hemisphere has

more land than Southern Hemisphere.

Partition Earth into Land and Ocean.

Ignore Coastal or Mixed regions.

Page 5: GIST 23, DWD Offenbach, 27-29 April 2005 Diurnal Cycle of Surface Radiation Budget G. L. Smith, P. E. Mlynczak, S. K. Gupta and P. W. Stackhouse

Principle Component/Empirical Orthogonal Function

Analysis

y(x,t) = PCi(t)xEOFi(x)

Page 6: GIST 23, DWD Offenbach, 27-29 April 2005 Diurnal Cycle of Surface Radiation Budget G. L. Smith, P. E. Mlynczak, S. K. Gupta and P. W. Stackhouse

Eigenvalues for Land

Page 7: GIST 23, DWD Offenbach, 27-29 April 2005 Diurnal Cycle of Surface Radiation Budget G. L. Smith, P. E. Mlynczak, S. K. Gupta and P. W. Stackhouse

• Shortwave time plots

Page 8: GIST 23, DWD Offenbach, 27-29 April 2005 Diurnal Cycle of Surface Radiation Budget G. L. Smith, P. E. Mlynczak, S. K. Gupta and P. W. Stackhouse

Downward Shortwave EOF-1

• map

Page 9: GIST 23, DWD Offenbach, 27-29 April 2005 Diurnal Cycle of Surface Radiation Budget G. L. Smith, P. E. Mlynczak, S. K. Gupta and P. W. Stackhouse

Net Shortwave EOF-1

Time

Page 10: GIST 23, DWD Offenbach, 27-29 April 2005 Diurnal Cycle of Surface Radiation Budget G. L. Smith, P. E. Mlynczak, S. K. Gupta and P. W. Stackhouse

EOF 1 SW Net

Page 11: GIST 23, DWD Offenbach, 27-29 April 2005 Diurnal Cycle of Surface Radiation Budget G. L. Smith, P. E. Mlynczak, S. K. Gupta and P. W. Stackhouse

Principal Components, Longwave, Land• Time plots

Page 12: GIST 23, DWD Offenbach, 27-29 April 2005 Diurnal Cycle of Surface Radiation Budget G. L. Smith, P. E. Mlynczak, S. K. Gupta and P. W. Stackhouse

Up Longwave EOF-1, Land

• map

Page 13: GIST 23, DWD Offenbach, 27-29 April 2005 Diurnal Cycle of Surface Radiation Budget G. L. Smith, P. E. Mlynczak, S. K. Gupta and P. W. Stackhouse

Down LW PCs

Page 14: GIST 23, DWD Offenbach, 27-29 April 2005 Diurnal Cycle of Surface Radiation Budget G. L. Smith, P. E. Mlynczak, S. K. Gupta and P. W. Stackhouse

Downward Longwave EOF-1. Land

• Map

Page 15: GIST 23, DWD Offenbach, 27-29 April 2005 Diurnal Cycle of Surface Radiation Budget G. L. Smith, P. E. Mlynczak, S. K. Gupta and P. W. Stackhouse

PCs for LW net, Land

Page 16: GIST 23, DWD Offenbach, 27-29 April 2005 Diurnal Cycle of Surface Radiation Budget G. L. Smith, P. E. Mlynczak, S. K. Gupta and P. W. Stackhouse

Net Longwave EOF-1, Land

• Map

Page 17: GIST 23, DWD Offenbach, 27-29 April 2005 Diurnal Cycle of Surface Radiation Budget G. L. Smith, P. E. Mlynczak, S. K. Gupta and P. W. Stackhouse

PCs total, land

Page 18: GIST 23, DWD Offenbach, 27-29 April 2005 Diurnal Cycle of Surface Radiation Budget G. L. Smith, P. E. Mlynczak, S. K. Gupta and P. W. Stackhouse

Net Total Radiation EOF-1, Land

• Map

Page 19: GIST 23, DWD Offenbach, 27-29 April 2005 Diurnal Cycle of Surface Radiation Budget G. L. Smith, P. E. Mlynczak, S. K. Gupta and P. W. Stackhouse

Conclusions

• SW Down and SW Net are very symmetric about noon: there is little indication of cloudiness variation with time of day

• LW shows a shift from noon, indicating warming of surface and of atmosphere (expected)

• The first e-value is 95%+ for each component, showing one pattern strongly dominates each component of SRB