ExtremeStats

This package is a collection of Extreme detection and analysis algorithms implemented efficiently in the julia programming language. Basic usage is as follows:

Given a spatiotemporal data array x with dimensions in the order (lon,lat,time) you can call

el=label_Extremes(x,kwargs...)

The following keyword arguments are valid:

• quantile: Quantile threshold to determine, which values are counted as extreme (tres=0.95 means the highest 5% values are considered extreme)
• mask: An additional mask having the same size as x, where only true values are considered for labelling
• area: A vector of the length size(x,2) giving the grid cell area depending on altitude. Defaults to equal area (one)
• lons: longitude valuse of the grid (optional)
• lats: lagtitude values of the grid (optional)
• circular: should th array be treated as closed along the longitude dimension as it is the case when analyzing the whole globe. defaults to true
• normscope: should be "local" or "global" and denotes if quantiles should be taken locally or globally

Returned is a structure of type ExtremeList containing a list with all the detected components. After that you can use the getfeatures function to calculate some statistics within each extreme

getFeatures(el, features...)

where el is an ExtremeList followed by an optional number of features to be calculated. Currently implemented are the following features, please create a Gitlab issue if you wish more:

• Features.Mean
• Features.Max_z
• Features.Min_z
• Features.Duration
• Features.Size
• Features.NumPixel
• Features.Quantile
• Features.TS_ZValue
• Features.TS_Area
• Features.Min_t
• Features.Max_t
• Features.Min_lon
• Features.Max_lon
• Features.Min_lat
• Features.Max_lat

This returns a Dataframe-like object with the requested features.

In addition you have the possibility to subtract a smoothed mean annual cycle from the dataset using

x2=get_anomalies(x,NpY)

This returns a new 3D array with only anomalies. There is also a mutating version of the function which does the anomaly-subtraction in-place.

get_anomalies!(x,NpY)

If you want to write the output of the analysis to NetCDF files, there are the following functions:

writeExtremes(el::ExtremeList,folder::String;nmax=1000,prefix="e")
writeFeatures(f,featnames::Vector,file;overwrite=true)
writeTimeSeries(f,filename,varNames::Vector)

For an example usage see /Net/Groups/BGI/scratch/fgans/Extremese/mytest_halfdeg.jl.

If you want to combine a list of detected extremes into a big one, you can call

elCombined = combineExtremes(el)

which returns a new ExtremeList having only a single Extreme.

Author(s)

Fabian Gans (BGI department, Max-Planck-Institue for Biogeochemistry, Jena)

Credits

This package is heavily influenced by R code written by Sebastian Sippel. The anomaly subtraction algorithms are after a function written by Miguel Mahecha.