Scale invariance of liquid water distributions in marine stratocumulus. Part I: Spectral properties and stationarity issues

Journal of the Atmospheric Sciences

Volumn 53, Issue 11, 1996, Pages 1538-1558

  Davis, Anthony ^a,b   Marshak, Alexander ^a,b   Wiscombe, Warren ^b   Cahalan, Robert ^b  

^a SCIENCE SYSTEMS AND APPLICATIONS INC   (United States)

^b NASA GODDARD SPACE FLIGHT CENTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FIRE EXPERIMENT; LIQUID WATER CONTENT; MARINE CLOUD; SCALE; SPECTRAL PROPERTIES; STATIONARITY ISSUE; STRATOCUMULUS;

USA, CALIFORNIA;

EID: 0030469076     PISSN: 00224928     EISSN: None     Source Type: Journal    
DOI: 10.1175/1520-0469(1996)053<1538:SIOLWD>2.0.CO;2     Document Type: Article

References (44)

1. Albrecht, B. A., D. A. Randall, and S. Nicholls, 1988: Observations of marine stratocumulus clouds during FIRE. Bull. Amer. Meteor. Soc., 69, 618-626.
2. Arnold, L., 1974: Stochastic Differential Equations, Theory and Applications. Wiley and Sons, 228 pp.
3. Austin, P., Y. Wang, R. Pincus, and V. Kujala, 1995: Precipitation in stratocumulus clouds: Observational and modeling results. J. Atmos. Sci., 52, 2329-2352.
4. Baker, B., 1992: Turbulent entrainment and mixing in clouds: A new observational approach. J. Atmos. Sci., 49, 387-404.
5. Brenguier, J. L., 1992: Statistical properties of the droplet spatial distribution in stratocumulus. Proc. of 11th Int. Conf, on Clouds and Precipitation, Vol. 1, Montreal, PQ, Canada, International Commission on Clouds and Precipitation and International Association of Meteorology and Atmospheric Physics, 125-128.
6. Cahalan, R. F., and J. H. Joseph, 1989: Fractal statistics of cloud fields. Mon. Wea. Rev., 117, 261-272.
7. _, and J. B. Snider, 1989: Marine stratocumulus structure. Remote Sens. Environ., 28, 95-107.
8. _, W. Ridgway, W. J. Wiscombe, T. L. Bell, and J. B. Snider, 1994a: The albedo of fractal stratocumulus clouds. J. Atmos. Sci., 51, 2434-2455.
9. _, _, _, S. Gollmer, and Harshvardhan, 1994b: Independent pixel and Monte Carlo estimates of stratocumulus albedo. J. Atmos. Sci., 51, 3776-3790.
10. Cess, R. D., and Coauthors, 1989: Interpretation of cloud-climate feedback as produced by 14 atmospheric general circulation models. Science, 245, 513-516.
11. Corrsin, S., 1951: On the spectrum of isotropic temperature fluctuations in isotropic turbulence. J. Appl. Phys., 22, 469-473.
12. Davis, A., 1992: Radiation transport in scale-invariant optical media. Ph.D. thesis, McGill University, 247 pp.
13. _, A. Marshak, W. Wiscombe, and R. Cahalan, 1994a: Multifractal characterizations of non-stationarity and intermittency in geophysical fields, observed, retrieved, or simulated. J. Geophys. Res., 99, 8055-8072.
14. _, _, and _, 1994b: Wavelet-based multifractal analysis of nonstationary and/or intermittent geophysical signals. Wavelets in Geophysics, E. Foufoula-Georgiou and P. Kumar, Eds., Academic Press, 249-298.
15. Duroure, C., and B. Guillemet, 1990: Analyse des hetérogeneités spatiales des stratocumulus et cumulus. Atmos. Res., 25, 331-350.
16. Falconer, K. J., 1990: Fractal Geometry Mathematical Foundations and Applications, J. Wiley and Sons, 288 pp.
17. Gerber, H., B. G. Arends, and A. S. Ackerman, 1994: New microphysics sensor for aircraft use. Atmos. Res., 31, 235-252.
18. Gradshteyn, I. S., and I. M. Ryzhik, 1980: Table of Integrals, Series, and Products. Academic Press, 1160 pp.
19. King, W. D., D. A. Parkin, and R. J. Handsworth, 1978: A hot-wire liquid water device having fully calculable response characteristics. J. Appl. Meteor., 17, 1809-1813.
20. _, C. T. Maher, and G. A. Hepburn, 1981: Further performance tests on the CSIRO liquid water probe. J. Appl. Meteor., 20, 195-202.
21. Kloesel, K. A., B. A. Albrecht, and D. P. Wylie, 1988: FIRE marine stratocumulus observations - summary of operations and synoptic conditions. FIRE Tech. Rep. 1, Dept. of Meteorology, The Pennsylvania State University, University Park, PA, 171 pp.
22. Kolmogorov, A. N., 1941: Local structure of turbulence in an incompressible liquid for very large Reynolds numbers. Dokl. Akod. Nauk SSSR, 30, 299-303.
23. Kraichnan, R. H., 1967: Inertial ranges in two-dimensional turbulence. Phys. Fluids, 10, 1417-1423.
24. Lovejoy, S., 1982: Area-perimeter relation for rain and cloud areas. Science, 216, 185-187.
25. _, and B. Mandelbrot, 1985: Fractal properties of rain and a fractal model. Tellus, 37A, 209-232.
26. _, D. Schertzer, P. Silas, Y. Tessier, and D. Lavallée. 1993: The unified scaling model of atmospheric dynamics and systematic analysis of scale invariance in cloud radiances. Ann. Geophys., 11, 119-127.
27. Malinowski, S. P., and I. Zawadzki, 1993: On the surface of clouds. J. Atmos. Sci., 50, 5-13.
28. _, D. G. Baumgardner, and M. Y. Leclerc, 1992: Fractal analysis of high resolution FSSP data. Proc. 11th Int. Conf, on Clouds and Precipitation, Vol. 1, Montreal, PQ, Canada, International Commission on Clouds and Precipitation and International Association of Meteorology and Atmospheric Physics, 188-191.
29. Mandelbrot, B. B., 1977: Fractals: Form, Chance, and Dimension. W. H. Freeman, 365 pp.
30. Marshak, A., A. Davis, R. Cahalan, and W. Wiscombe, 1994: Bounded cascade models as nonstationary multifractals. Phys. Rev. E, 49, 55-69.
31. Meneveau, C., and K. R. Sreenivasan, 1987a: The multifractal spectrum of the dissipation field in turbulent flows. Nucl. Phys. B, 2, 49-76.
32. _, and _, 1987b: Simple multifractal cascade model for fully developed turbulence. Phys. Rev. Lett., 59, 1424-1427.
33. Monin, A. S., and A. M. Yaglom. 1975: Statistical Fluid Mechanics. Vol. 2. The MIT Press, 683 pp.
34. Obukhov, A., 1949: Structure of the temperature field in turbulence. Izv. Akad. Nauk. SSSR. Ser. Geogr., 13, 55-69.
35. Papoulis, A., 1965: Probability, Random Variables, and Stochastic Processes. McGraw-Hill. 583 pp.
36. Peitgen, H. O., and D. Saupe. 1988: The Science of Fractal Images. Springer-Verlag, 312 pp.
37. Press, W. H., S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, 1993: Numerical Recipes in FORTRAN. 2d ed. Cambridge University Press, 702 pp.
38. Ramanathan, V., R. D. Cess, E. F. Harrison, P. Minnis, B. R. Barkstrom, E. Ahmad, and D. Hartmann, 1989: Cloud-radiative forcing and climate: Results from Earth Radiation Budget Experiment. Science, 243, 57-63.
39. Rodi, A. R., J. L. Brenguier, and J. P. Chalon, 1992: Case study of cumulus microstructure with the new FFSSP. Proc. 11th Int. Conf. on Clouds and Precipitation, Vol. 1, Montreal, PQ, Canada, International Commission on Clouds and Precipitation and International Association of Meteorology and Atmospheric Physics, 169-172.
40. Rys, F. S., and A. Waldvogel, 1986: Analysis of the fractal shape of severe convective clouds. Fractals in Physics, L. Pietronero and E. Tosatti, Eds., Elsevier, 461-464.
41. Sèze, G., and L. Smith, 1990: On the dimension of cloud boundaries. Proc. Seventh Conf. on Atmospheric Radiation, San Francisco, CA, Amer. Meteor. Soc., 47-57.
42. Sui, C-H., and K. M. Lau, 1992: Multiscale phenomena in the tropical atmosphere over the western Pacific. Mon. Wea. Rev., 120, 407-430.
43. Weng, H., and K.-M. Lau, 1994: Wavelets, period doubling, and time-frequency localization with application to organization of convection over the tropical western Pacific. J. Atmos. Sci., 51, 2523-2541.
44. Yano, J. I., and Y. Takeuchi, 1987: The self-similarity of horizontal cloud pattern in the intertropical convergence zone. J. Meteor. Soc. Japan, 65, 661-667.