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Histograms and compositesPowerPoint Presentation

Histograms and composites

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Histograms and composites

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Histograms and composites

- qualitative distinction!
- Regimes or modes (literal meaning)

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

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.

- 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

- indeed all similar
- except offset

- indeed very similar
- except offset

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)

all points

w > 5m/s

- conditional sampling
- cetegories so arbitrary unless there are multiple modes in some distribution

- F = (frequency)(qp)(w)(density)
- Product of these 3 distributions (*density)
- rare events clearly important
- from obs, would need to adjust (sampling)