- the effect of non-Gaussian error statistics. - NCEO - National Centre ...

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4Gaussian errors•In the case of Gaussian errors the impact of the observations can be derivedanalytically;•And no matter how you measure it, the observations with the greatest impact arethose which:–Have the smallest error and–Tell you independent information about the region of state space with thegreatest prior uncertainty.ExampleThe observation influencecalculated from the analysissensitivity to theobservations.Cardinali et al. 2004, QJRMS
Non-Gaussian errors•Unfortunately error distributions are not always accurately described by a Gaussian.•This is becoming a particular issue as geophysical models resolve more non-linearprocesses and the observations become more complicated.Non-linear mape.g. non-linear dynamical model ornon-linear observation operatorContours ofa 2D pdf•Not accounting for the non-Gaussian structures in the error distributions could have adetrimental impact on the data assimilation.•This has lead to intense research effort in developing non-Gaussian data assimilationtechniques which can be applied to the geosciences. For example particle filtertechniques developed in NCEO.5
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- the effect of non-Gaussian error statistics. - NCEO - National Centre ...

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