table of contents
GPSGRIDDER(1gmt)  GMT  GPSGRIDDER(1gmt) 
NAME¶
gpsgridder  Interpolate GPS strain vectors using Green's functions for elastic deformation
SYNOPSIS¶
gpsgridder [ table ]
Goutfile [ Iincrement ] [
Rregion ] [
C[nrv]value[+ffile] ] [
E[misfitfile] ] [ F[df]fudge] [
L ] [ Nnodefile ] [ Snu ] [
Tmaskgrid ] [ V[level] ] [
W[w]] [ bbinary ] [ dnodata ] [
eregexp ] [ fflags ] [ hheaders ] [ oflags ]
[ x[[]n] ] [ :[io] ]
Note: No space is allowed between the option flag and the associated arguments.
DESCRIPTION¶
gpsgridder grids 2D vector data such as GPS velocities by using a coupled model based on 2D elasticity. The degree of coupling can be tuned by adjusting the effective Poisson's ratio. The solution field can be tuned to extremes such as incompressible (1), typical elastic (0.5) or even an unphysical value of 1 that basically removes the elastic coupling of vector interpolation. Smoothing is offered via the optional elimination of small eigenvalues.
REQUIRED ARGUMENTS¶
 table
 table with GPS strain rates at discrete locations. We expect the input format to be x y u v [ du dv ] (see W to specify data uncertainties or weights). If lon lat is given you must supply fg and we will use a flat Earth approximation in the calculation of distances.
 Goutfile
 Name of resulting output file. (1) If options R, I, and possibly r are set we produce two equidistant output grids. In this case, outfile must be a name template containing the C format specifier %s, which will be replaced with u and v, respectively. (2) If option T is selected then R, I cannot be given as the maskgrid determines the region and increments. Again, the outfile must be a name template for the two output grids. (3) If N is selected then the output is a single ASCII (or binary; see bo) table written to outfile; if G is not given then this table is written to standard output. The G option is ignored if C or C0 is given.
OPTIONAL ARGUMENTS¶
 C[nrv]value[+ffile]
 Find an approximate surface fit: Solve the linear system for the spline coefficients by SVD and eliminate the contribution from all eigenvalues whose ratio to the largest eigenvalue is less than value [Default uses GaussJordan elimination to solve the linear system and fit the data exactly]. Optionally, append +ffile to save the eigenvalue ratios to the specified file for further analysis. Finally, if a negative value is given then +ffile is required and execution will stop after saving the eigenvalues, i.e., no surface output is produced. Specify Cvvalue to use the largest eigenvalues needed to explain value % of the data variance. Specify Crvalue to use the largest eigenvalues needed to leave approximately value as the model misfit. If value is not given then W is required and we compute value as the rms of the given data uncertainties. Alternatively, use Cnvalue to select the value largest eigenvalues. If a file is given with Cv then we save the eigenvalues instead of the ratios. Note: 1/4 of the total number of data constraints is a good starting point for further experiments.
E[misfitfile]

F[df]fudge  The Green's functions are proportional to terms like 1/r^2 and log(r) and thus blow up for r == 0. To prevent that we offer two fudging schemes: Fddel_radius lets you add a constant offset to all radii and must be specified in the user units. Alternatively, use Fffactor which will compute del_radius from the product of the shortest interpoint distance and factor [0.01].
 Ixinc[unit][+en][/yinc[unit][+en]]
 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 gridlineregistered or pixelregistered grid; see Appfileformats for details. Note: if Rgrdfile is used then the grid spacing has already been initialized; use I to override the values.
 L
 Leave trend alone. Do not remove a planer (2D) trend from the data before fitting the spline. [Default removes least squares plane, fits normalized residuals, and restores plane].
 Nnodefile
 ASCII file with coordinates of desired output locations x in the first column(s). The resulting w values are appended to each record and written to the file given in G [or stdout if not specified]; see bo for binary output instead. This option eliminates the need to specify options R, I, and r.
 Rxmin/xmax/ymin/ymax[+r][+uunit] (more ...)
 Specify the region of interest.
 Snu
 Specify Poisson's ratio to use for this 2D elastic sheet [0.5]. Note: 1.0 is incompressible in a 2D formulation while 1 removes all coupling between the two directions.
 Tmaskgrid
 Only evaluate the solutions at the nodes in the maskgrid that are not set to NaN. This option eliminates the need to specify options R, I (and r).
 W[w]
 Onesigma data uncertainties for u and v are provided in the last two columns. We then compute weights that are inversely proportional to the uncertainties. Append w if weights are given instead of uncertainties. This results in a weighted least squares fit. Note that W only has an effect if C is used. [Default uses no weights or uncertainties]. Note: At present the W option is unstable. We do not yet know if it reflects a coding bug or a theoretical limitation. Users beware, and make sure you compare the results with nonweighted output for basic sanity checking.
 V[level] (more ...)
 Select verbosity level [c].
 d[io]nodata (more ...)
 Replace input columns that equal nodata with NaN and do the reverse on output.
 e[~]"pattern"  e[~]/regexp/[i] (more ...)
 Only accept data records that match the given pattern.
 fg
 Geographic grids (dimensions of longitude, latitude) will be converted to meters via a "Flat Earth" approximation using the current ellipsoid parameters.
 h[io][n][+c][+d][+rremark][+rtitle] (more ...)
 Skip or produce header record(s). Not used with binary data.
 icols[+l][+sscale][+ooffset][,...] (more ...)
 Select input columns and transformations (0 is first column).
 r (more ...)
 Set pixel node registration [gridline].
 :[io] (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 modulespecific 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.
UNITS¶
For map distance unit, append unit d for arc degree, m for arc minute, and s for arc second, or e for meter [Default], f for foot, k for km, M for statute mile, n for nautical mile, and u for US survey foot. By default we compute such distances using a spherical approximation with great circles. Prepend  to a distance (or the unit is no distance is given) to perform "Flat Earth" calculations (quicker but less accurate) or prepend + to perform exact geodesic calculations (slower but more accurate).
EXAMPLES¶
To compute the u and v strain rate grids from the GPS data set gps.txt, containing x y u v du dv, on a 2x2 arc minute grid for California, try
gmt gpsgridder gps.txt R125/114/31/41 I2m fg W r Ggps_strain_%s.nc V
REFERENCES¶
Haines, A. J. et al., 2015, Enhanced Surface Imaging of Crustal Deformation, SpringerBriefs in Earth Sciences, doi:10.1007/9783319215785_2.
Sandwell, D. T. and P. Wessel, 2016, Interpolation of 2D Vector Data Using Constraints from Elasticity, Geophys. Res. Lett., 43, 10,70310,709, http://dx.doi.org/10.1002/2016GL070340
SEE ALSO¶
gmt, greenspline nearneighbor, surface
COPYRIGHT¶
2019, P. Wessel, W. H. F. Smith, R. Scharroo, J. Luis, and F. Wobbe
May 21, 2019  5.4.5 