blockmedian - Block average (x, y, z) data tables by L1 norm
blockmedian [ table ]
-Iincrement
-Rregion [ -C ] [ -E[b] ] [
-Er|s[-] ] [ -Q ] [
-Tquantile ] [ -V[level] ] [
-W[i|o][+s] ] [ -bbinary ] [
-dnodata ] [ -eregexp ] [ -fflags ] [ -hheaders
] [ -iflags ] [ -oflags ] [ -r ] [
-:[i|o] ]
Note: No space is allowed between the option flag and the
associated arguments.
blockmedian reads arbitrarily located
(x,y,z) triples [or optionally weighted quadruples
(x,y,z,w)] from standard input [or table]
and writes to standard output a median position and value for every
non-empty block in a grid region defined by the -R and -I
arguments. Either blockmean, blockmedian, or blockmode should be used
as a pre-processor before running surface to avoid aliasing short
wavelengths. These routines are also generally useful for decimating or
averaging (x,y,z) data. You can modify the precision of
the output format by editing the FORMAT_FLOAT_OUT parameter in your gmt.conf
file, or you may choose binary input and/or output to avoid loss of
precision.
- -Ixinc[unit][+e|n][/yinc[unit][+e|n]]
- x_inc [and optionally y_inc] is the grid spacing.
Optionally, append a suffix modifier. Geographical (degrees)
coordinates: Append m to indicate arc minutes or s to
indicate arc seconds. If one of the units e, f, k,
M, n or u is appended instead, the increment is
assumed to be given in meter, foot, km, Mile, nautical mile or US survey
foot, respectively, and will be converted to the equivalent degrees
longitude at the middle latitude of the region (the conversion depends on
PROJ_ELLIPSOID). If y_inc is given but set to 0 it will be reset
equal to x_inc; otherwise it will be converted to degrees latitude.
All coordinates: If +e is appended then the corresponding
max x (east) or y (north) may be slightly
adjusted to fit exactly the given increment [by default the increment may
be adjusted slightly to fit the given domain]. Finally, instead of giving
an increment you may specify the number of nodes desired by
appending +n to the supplied integer argument; the increment is
then recalculated from the number of nodes and the domain. The resulting
increment value depends on whether you have selected a gridline-registered
or pixel-registered grid; see App-file-formats for details. Note: if
-Rgrdfile is used then the grid spacing has already been
initialized; use -I to override the values.
- table
- 3 [or 4, see -W] column ASCII data table] column ASCII file(s) [or
binary, see -bi] holding (x,y,z[,w])
data values. [w] is an optional weight for the data. If no file is
specified, blockmedian will read from standard input.
- -C
- Use the center of the block as the output location [Default uses the
median x and median y as location (but see -Q)].
- -E[b]
- Provide Extended report which includes s (the L1 scale of the
median), l, the lowest value, and h, the high value for each
block. Output order becomes
x,y,z,s,l,h[,w]. [Default
outputs x,y,z[,w]. For box-and-whisker
calculation, use -Eb which will output
x,y,z,l,q25,q75,h[,w],
where q25 and q75 are the 25% and 75% quantiles,
respectively. See -W for w output.
- -Er|s[-]
- Provide source id s or record number r output, i.e., append
the source id or record number associated with the median value. If tied
then report the record number of the higher of the two values; append
- to instead report the record number of the lower value. Note that
both -E[b] and -Er[-] may be specified.
For -Es we expect input records of the form
x,y,z[,w],sid, where sid is an
unsigned integer source id.
- -Q
- (Quicker) Finds median z and (x,y) at that the median
z [Default finds median x, median y independent of
z]. Also see -C.
- -Tquantile
- Sets the quantile of the distribution to be returned [Default is
0.5 which returns the median z]. Here, 0 < quantile <
1.
- -W[i|o][+s]
- Weighted modifier[s]. Unweighted input and output have 3 columns
x,y,z; Weighted i/o has 4 columns
x,y,z,w. Weights can be used in input to
construct weighted median values for each block. Weight sums can be
reported in output for later combining several runs, etc. Use -W
for weighted i/o, -Wi for weighted input only, and -Wo for
weighted output only. [Default uses unweighted i/o]. If your weights are
actually uncertainties (one sigma) then append +s and we compute
weight = 1/sigma.
- -r (more ...)
- Set pixel node registration [gridline]. Each block is the locus of points
nearest the grid value location. Consider an example with
-R10/15/10/15 and -I1: With the -r option, 10 <=
(x,y) < 11 is one of 25 blocks; without it 9.5 <=
(x,y) < 10.5 is one of 36 blocks.
- -:[i|o] (more ...)
- Swap 1st and 2nd column on input and/or output.
- -^ or just -
- Print a short message about the syntax of the command, then exits (NOTE:
on Windows just use -).
- -+ or just +
- Print an extensive usage (help) message, including the explanation of any
module-specific option (but not the GMT common options), then exits.
- -? or no arguments
- Print a complete usage (help) message, including the explanation of all
options, then exits.
The ASCII output formats of numerical data are controlled by
parameters in your gmt.conf file. Longitude and latitude are formatted
according to FORMAT_GEO_OUT, absolute time is under the control of
FORMAT_DATE_OUT and FORMAT_CLOCK_OUT, whereas general floating point values
are formatted according to FORMAT_FLOAT_OUT. Be aware that the format in
effect can lead to loss of precision in ASCII output, which can lead to
various problems downstream. If you find the output is not written with
enough precision, consider switching to binary output (-bo if
available) or specify more decimals using the FORMAT_FLOAT_OUT setting.
To find 5 by 5 minute block medians from the double precision
binary data in hawaii_b.xyg and output an ASCII table, run
gmt blockmedian hawaii_b.xyg -R198/208/18/25 -I5m -bi3d > hawaii_5x5.xyg
To compute the shape of a data distribution per bin via a
box-and-whisker diagram we need the 0%, 25%, 50%, 75%, and 100% quantiles.
To do so on a global 5 by 5 degree basis from the ASCII table depths.xyz and
send output to an ASCII table, run
gmt blockmedian depths.xyz -Rg -I5 -Eb -r > depths_5x5.txt
blockmean, blockmode, gmt, gmt.conf, greenspline, nearneighbor,
surface, sphtriangulate, triangulate
2019, P. Wessel, W. H. F. Smith, R. Scharroo, J. Luis, and F.
Wobbe