Observations and parameterizations of particle size distributions in deep tropical cirrus and stratiform precipitating clouds: Results from in-situ observations in TRMM field campaigns

The PSDs broadened from cloud top toward cloud base, with the largest particles increasing in size from several millimeters at cloud top, to 1 cm or larger toward cloud base. Some continued growth was noted in the upper part of the ML. Concentrations of particles less than 1 mm in size decreased with decreasing height.

The result was a consistent change in the PSDs in the vertical. Similarly, systematic changes in the size dependence of the particle cross-sectional area was noted with decreasing height. Aggregation—as ascertained from both the changes in the PSDs and evolution of particle habits as observed in high detail with the cloud particle imager (CPI) probe—was responsible for these trends.

The PSDs were generally well-represented by gamma distributions of the form N = N0ΓDμe-λΓD that were fitted to the PSDs over 1-km horizontal intervals throughout the spirals. The intercept (N0Γ), slope (λΓ), and dispersion (μ) values were derived for each PSD. Exponential curves (N = N0e-λD; μ = 0) were also fitted to the distributions.

The λΓ values for given spirals varied systematically with temperature as did the values of λ (exponential), and the data generally conformed to values found in previous studies involving exponential fits to size distributions in midlatitude frontal and cirrus layers. Considerable variability often noted in the PSD properties during the loops of individual spirals was manifested primarily in large changes in N0Γ and N0, but μ, λΓ, and λ remained fairly stable.

Temperature is not found to be the sole factor controlling λΓ or λ, but is a primary one. Direct relationships were found between λΓ and N0Γ, or λΓ and μ, for the gamma distributions, and λ and N0 for the exponential. The latter relationship was not found as distinctly in earlier studies; observed PSDs in this study had better fidelity with less scatter.

The μ