Vertical scaling of temperature, wind and humidity fluctuations: dropsondes from 13 km to the surface of the Pacific Ocean

References

• Aberson , S.D. and Franklin , J.L. 1999 . Impact on hurricane track and intensity forecasts of GPS dropwindsonde observations from the first season flights of the NOAA Gulfstream-IV jet aircraft . Bulletin of the American Meteorological Society , 80 : 421 – 427 .
   Web of Science ®Google Scholar
• Bolgiano , R. 1959 . Turbulent spectra in a stably stratified atmosphere . Journal of Geophysical Research , 64 : 2226 – 2229 .
   Web of Science ®Google Scholar
• Cooper , O.R. , Stohl , A. , Hübler , G. , Hsie , E.Y. , Parrish , D.D. , Tuck , A.F. , Kiladis , G.N. , Oltmans , S.J. , Johnson , B.J. , Shapiro , M. , Moody , J.L. and Lefohn , A.S . 2005 . Direct transport of mid-latitude stratospheric ozone into the lower troposphere and marine boundary layer of the tropical Pacific Ocean . Journal of Geophysical Research , 110 : D23310 doi: 10.1029/2005JD005783
   Web of Science ®Google Scholar
• Davidson , P.A. 2004 . Turbulence , New York : Oxford University Press .
   Google Scholar
• Davis , A.B. , Marshak , A. , Cahalan , R.F. and Wiscombe , W.J. 1997 . Solar and laser beams, stratus clouds, fractals and multifractals in climate and remote sensing studies . Fractals-Interdisciplinary Journal of Complex Geometry in Nature , 5 : 129 – 166 .
   Web of Science ®Google Scholar
• Efstathiou , M.N. and Varotsos , C. 2010 . On the altitude dependence of the temperature scaling behaviour at the global troposphere . International Journal of Remote Sensing , 31 : 343 – 349 .
   Web of Science ®Google Scholar
• Falkovich , G. , Fouxon , A. and Stepanov , M.G. 2002 . Acceleration of rain initiation by cloud turbulence . Nature , 419 : 151 – 154 .
   PubMed Web of Science ®Google Scholar
• Falkovich , G. and Pumir , A. 2007 . Sling effect in collisions of water droplets in turbulent clouds . Journal of the Atmospheric Sciences , 64 : 4497 – 4505 .
   Web of Science ®Google Scholar
• Frisch , U. 1995 . Turbulence: The Legacy of A. N. Kolmogorov , New York : Cambridge University Press .
   Google Scholar
• Galewsky , J. , Sobel , A. and Held , I. 2005 . Diagnosis of subtropical humidity dynamics using tracers of last saturation . Journal of the Atmospheric Sciences , 62 : 3353 – 3367 .
   Web of Science ®Google Scholar
• Gill , A.E. 1982 . “ Atmosphere – Ocean Dynamics ” . In International Geophysics Series , Vol. 30 , San Diego , CA : Academic Press .
   Google Scholar
• Hock , T.F. and Franklin , J.L. 1999 . The NCAR GPS dropwindsonde . Bulletin of the American Meteorological Society , 80 : 406 – 420 .
   Web of Science ®Google Scholar
• Kelly , K.K. , Tuck , A.F. and Davies , T. 1991 . Wintertime asymmetry of upper tropospheric water between the Northern and Southern Hemispheres . Nature , 353 : 244 – 247 .
   Web of Science ®Google Scholar
• Kolmogorov , A.N. 1962 . A refinement of previous hypotheses concerning the local structure of turbulence in a viscous incompressible fluid at high Reynolds number . Journal of Fluid Mechanics , 13 : 82 – 85 .
   Web of Science ®Google Scholar
• Kolmogorov , A.N. 1991 . English translations of Kolmogorov's 1941 papers . Proceedings of the Royal Society of London, Series A , 434 : 9 – 17 .
   Web of Science ®Google Scholar
• Koscielny-Bunde , E. , Bunde , A. , Havlin , S. , Roman , H.E. , Goldreich , Y. and Schellnhuber , H.-J. 1998 . Indication of a universal persistence law governing atmospheric variability . Physical Review Letters , 81 : 729 – 732 .
   Web of Science ®Google Scholar
• Lazarev , A. , Schertzer , D. , Lovejoy , S. and Chigirinskaya , Y. 1994 . Unified multifractal atmospheric dynamics tested in the tropics: part II, vertical scaling and generalized scale invariance . Nonlinear Processes in Geophysics , 1 : 115 – 123 .
   Web of Science ®Google Scholar
• Lewis , G.M. , Lovejoy , S. , Schertzer , D. and Pecknold , S. 1999 . The scale invariant generator technique for quantifying anisotropic scale invariance . Computers and Geosciences , 25 : 963 – 975 .
   Web of Science ®Google Scholar
• Loughner , C.P. , Lary , D.J. , Sparling , L.C. , Cohen , R.C. , Decola , P. and Stockwell , W.R. 2007 . A method to determine the spatial resolution required to observe air quality from space . IEEE Transactions on Geosciences and Remote Sensing , 45 : 1308 – 1314 .
   Web of Science ®Google Scholar
• Lovejoy , S. and Schertzer , D. 2007 . Scaling and multifractal fields in the solid earth and topography . Nonlinear Processes in Geophysics , 14 : 45 – 502 .
   Web of Science ®Google Scholar
• Lovejoy , S. and Schertzer , D. 2010a . On the simulation of continuous in scale universal multifractals . Part I: spatially continuous processes. Computers and Geosciences , 36 : 1393 – 1403 .
   Web of Science ®Google Scholar
• Lovejoy , S. and Schertzer , D. 2010b . On the simulation of continuous in scale universal multifractals . Part II: space-time processes and finite corrections. Computers and Geosciences , 36 : 1404 – 1413 .
   Google Scholar
• Lovejoy , S. , Schertzer , D. and Stanway , J.D. 2001 . Direct evidence of multifractal cascades from planetary scales down to 1 km . Physical Review Letters , 86 : 5200 – 5203 .
   PubMed Web of Science ®Google Scholar
• Lovejoy , S. , Schertzer , D. and Tuck , A.F. 2004 . Fractal aircraft trajectories and nonclassical turbulent statistics . Physical Review E , 70 : 03630 doi: 10.1103/PhysRevE.70.036306
   Web of Science ®Google Scholar
• Lovejoy , S. , Tuck , A.F. , Hovde , S.J. and Schertzer , D. 2007 . Is isotropic turbulence relevant in the atmosphere? . Geophysical Research Letters , 34 : L15802 doi: 10.1029/2007GL029359
   Web of Science ®Google Scholar
• Lovejoy , S. , Tuck , A.F. , Hovde , S.J. and Schertzer , D. 2008 . Do stable atmospheric layers exist? . Geophysical Research Letters , 35 : L01802 doi: 10.1029/2007GL032122
   Web of Science ®Google Scholar
• Lovejoy , S. , Tuck , A.F. , Hovde , S.J. and Schertzer , D. 2009a . The vertical cascade structure of the atmosphere and multifractal dropsonde outages . Journal of Geophysical Research , 114 : D07111 doi: 10.1029/2008D010651
   Web of Science ®Google Scholar
• Lovejoy , S. , Tuck , A.F. and Schertzer , D. 2010 . Horizontal cascade structure of atmospheric fields determined from aircraft data . Journal of Geophysical Research-Atmospheres , 115 : D13105 doi: 10.1029/2009JD013353
   Web of Science ®Google Scholar
• Lovejoy , S. , Tuck , A.F. , Schertzer , D. and Hovde , S.J. 2009b . Reinterpreting aircraft measurements in anisotropic scaling turbulence . Atmospheric Chemistry and Physics , 9 : 5007 – 5025 .
   Web of Science ®Google Scholar
• Macdonald , A.E. 2005 . A global profiling system for improved weather and climate prediction . Bulletin of the American Meteorological Society , 86 : 1747 – 1764 .
   Web of Science ®Google Scholar
• Marshak , A. , Davis , A. , Wiscombe , W. and Cahalan , R.F. 1997 . Scale invariance in liquid water distributions in marine stratocumulus. Part 2: multifractal properties and intermittency issues . Journal of Atmospheric Sciences , 54 : 1423 – 1444 .
   Web of Science ®Google Scholar
• Martin , C. 2004 . ASPEN User Manual , Boulder , CO : National Center for Atmospheric Research .
   Google Scholar
• Moelwyn-Hughes , E.A. 1961 . Chapter 1 in Physical Chemistry , 2nd , Oxford : Pergamon Press .
   Google Scholar
• Murphy , D.M. 2003 . Dehydration in cold clouds is enhanced by a transition from cubic to hexagonal ice . Geophysical Research Letters , 30 : 2230
   Web of Science ®Google Scholar
• Murphy , D.M. , Tuck , A.F. , Kelly , K.K. , Chan , K.R. , Loewenstein , M. , Podolske , J.R. and Strahan , S.E. 1989 . Indicators of transport and vertical motion from correlations between in situ measurements in the Airborne Antarctic Ozone experiment . Journal of Geophysical Research , 94 : 11669 – 11685 .
   Web of Science ®Google Scholar
• Richard , E.C. , Tuck , A.F. , Aikin , K.C. , Kelly , K.K. , Herman , R.L. , Troy , R.F. , Hovde , S.J. , Rosenlof , K.H. , Thompson , T.L. and Ray , E.A. 2006 . High resolution airborne profiles of CH4, O3 and water vapor near tropical Central America in late January–early February 2004 . Journal of Geophysical Research , 111 : D13304 doi: 10.1029/2005JD006513
   Web of Science ®Google Scholar
• Schertzer , D. and Lovejoy , S. 1985 . “ The dimension and intermittency of atmospheric dynamics ” . In Turbulent Shear Flows , Edited by: Launder , B. 7 – 33 . New York : Springer-Verlag .
   Google Scholar
• Schertzer , D. and Lovejoy , S. 1987 . Physical modeling and analysis of rain and clouds by anisotropic scaling multiplicative processes . Journal of Geophysical Research , 92 : 9693 – 9714 .
   Web of Science ®Google Scholar
• Schertzer , D. and Lovejoy , S. 1991 . Nonlinear Variability in Geophysics: Scaling and Fractals , Dordrecht : Kluwer Academic .
   Google Scholar
• Schneising , O. , Buchwitz , M. , Burrows , J.P. , Bovensmann , H. , Bergamaschi , P. and Peters , W. 2009 . Three years of greenhouse gas column-averaged dry air mole fractions retrieved from satellite – part 2 methane . Atmospheric Chemistry and Physics , 9 : 443 – 445 .
   Web of Science ®Google Scholar
• Schneising , O. , Buchwitz , M. , Burrows , J.P. , Bovensmann , H. , Reuter , M. , Notholt , J. , Macatangay , R. and Warneke , T. 2008 . Three years of greenhouse gas column-averaged dry air mole fractions retrieved from satellite . part 1 carbon dioxide. Atmospheric Chemistry and Physics , 8 : 3827 – 3853 .
   Web of Science ®Google Scholar
• Sparling , L.C. 2000 . Statistical perspectives on stratospheric transport . Reviews of Geophysics , 38 : 417 – 436 .
   Web of Science ®Google Scholar
• Sparling , L.C. , Wei , J.C. and Avallone , L.M. 2006 . Estimating the impact of small scale variability in satellite measurement validation . Journal of Geophysical Research , 111 : D20310 doi: 10.1029/2005JD006943
   Web of Science ®Google Scholar
• Syroka , J. and Toumi , R. 2001 . Scaling of Central England temperature fluctuations? . Atmospheric Science Letters , 2 : 143 – 154 .
   Web of Science ®Google Scholar
• Toumi , R. , Syroka , J. , Barnes , C. and Lewis , P. 2001 . Robust non-Gaussian statistics and long-range correlation of total ozone . Atmospheric Science Letters , 2 : 94 – 103 .
   Web of Science ®Google Scholar
• Tuck , A.F. 1989 . Synoptic and chemical evolution of the Antarctic vortex in late winter and early spring 1987 . Journal of Geophysical Research , 94 : 11687 – 11737 .
   Web of Science ®Google Scholar
• Tuck , A.F. 2008 . Atmospheric Turbulence: A Molecular Dynamics Perspective , 33 New York : Oxford University Press .
   Google Scholar
• Tuck , A.F. 2010 . From molecules to meteorology via turbulent scale invariance . Quarterly Journal of the Royal Meteorological Society , 136 : 1125 – 1144 .
   Web of Science ®Google Scholar
• Tuck , A.F. and Hovde , S.J. 1999 . Fractal behavior of ozone, wind and temperature in the lower stratosphere . Geophysical Research Letters , 26 : 1271 – 1274 .
   Web of Science ®Google Scholar
• Tuck , A.F. , Hovde , S.J. and Bui , T.P. 2004 . Scale invariance in jet streams: ER-2 data around the lower stratospheric polar night vortex . Quarterly Journal of the Royal Meteorological Society , 130 : 2423 – 2444 .
   Web of Science ®Google Scholar
• Tuck , A.F. , Hovde , S.J. , Gao , R.-S. and Richard , E.C. 2003a . Law of mass action in the Arctic lower stratospheric polar vortex January–March 2000: ClO scaling and the calculation of ozone loss rates in a turbulent fractal medium . Journal of Geophysical Research , 108 : 4451
   Web of Science ®Google Scholar
• Tuck , A.F. , Hovde , S.J. , Kelly , K.K. , Mahoney , M.J. , Proffitt , M.H. , Richard , E.C. and Thompson , T.L. 2003b . Exchange between the upper tropical troposphere and the lower stratosphere studied with aircraft observations . Journal of Geophysical Research , 108 : 4734
   Web of Science ®Google Scholar
• Tuck , A.F. , Hovde , S.J. and Proffitt , M.H. 1999 . Persistence in ozone scaling under the Hurst exponent as an indicator of the relative rates of chemistry and fluid mechanical mixing in the stratosphere . Journal of Physical Chemistry A , 103 : 10445 – 10550 .
   Web of Science ®Google Scholar
• Tuck , A.F. , Hovde , S.J. , Richard , E.C. , Fahey , D.W. and Gao , R.-S. 2002 . A scaling analysis of ER-2 data in the inner vortex during January–March 2000 . Journal of Geophysical Research , 108 : 8306
   Web of Science ®Google Scholar
• Tuck , A.F. , Hovde , S.J. , Richard , E.C. , Gao , R.-S. , Bui , T.P. , Swartz , W.H. and Lloyd , S.A. 2005 . Molecular velocity distributions and generalized scale invariance in the turbulent atmosphere . Faraday Discussions , 130 : 181 – 193 .
   PubMed Web of Science ®Google Scholar
• Varotsos , C. 2005 . Power law correlations in column ozone over Antarctica . International Journal of Remote Sensing , 26 : 3333 – 3342 .
   Web of Science ®Google Scholar
• Varotsos , C. and Kirk-Davidoff , D. 2006 . Long-memory processes in ozone and temperature variations at the region 60 degrees S – 60 degrees . Atmospheric Chemistry and Physics , 6 : 4093 – 4100 .
   Web of Science ®Google Scholar
• Yang , H. and Pierrehumbert , R. 1994 . Production of dry air by isentropic mixing . Journal of the Atmospheric Sciences , 51 : 3437 – 3451 .
   Web of Science ®Google Scholar