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Histograms and composites. multimodal is always interesting. qualitative distinction! Regimes or modes (literal meaning). Buoy downwelling radiation along Pacific cold tongue as TIWs go by in the ocean.

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Histograms and composites

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Histograms and composites

Histograms and composites


Multimodal is always interesting

multimodal is always interesting

  • qualitative distinction!

  • Regimes or modes (literal meaning)


Histograms and composites

Buoy downwelling radiation along Pacific cold tongue as TIWs go by in the ocean


Histograms and composites

Figure 3.16 – Width vs. top height of each EO for 16 June 2006 – 31 May 2008. Distribution is weighted by total number of pixels (volume) per EO to emphasize larger EOs. Bin size is 10 pixels (~ km) by 240 m. Width is the horizontal span of the EO.


Soundings

soundings


Climatological time means must not be iid sums normal dist

climatological time meansmust not be iid sums (->normal dist)


The science

The science

  • bimodal = 2 “modes” = distinct “regimes”

    • wet and dry

    • young and old air masses (age since saturation)

      • in temporal variations at a point

    • convective vs. nonconvective regions

      in bimodal climatological mean spatial histograms


Even unimodal can be a basis for composites but these aren t regimes

Even unimodal can be a basis for composites, but these aren’t “regimes”


Histograms and composites

  • indeed all similar

  • except offset


Histograms and composites

  • indeed very similar

  • except offset


Histograms and composites

Khairoutdinov, Marat, David Randall, 2006: High-Resolution Simulation of Shallow-to-Deep Convection Transition over Land. J. Atmos. Sci., 63, 3421–3436.

High-Resolution Simulation of Shallow-to-Deep Convection Transition over Land

Marat Khairoutdinov and David Randall

Nice use of 2-dimensional histograms, and weighted histograms (= composites of multiple fields in each bin)

Clouds as connected regions (have a size)


Growing clouds in z and size

growing clouds in z and size


Histograms and composites

all points

w > 5m/s


Histograms and composites

  • conditional sampling

  • cetegories so arbitrary unless there are multiple modes in some distribution


Suppose we want precip flux

suppose we want precip flux

  • F = (frequency)(qp)(w)(density)

  • Product of these 3 distributions (*density)

  • rare events clearly important

  • from obs, would need to adjust (sampling)


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