# grdredpol¶

Compute the Continuous Reduction To the Pole, AKA differential RTP

## Synopsis¶

**gmt grdredpol** *anom_grd* **-G***rtp_grd* [ **-C***dec/dip*]
[ **-E****i***inc_grd*]
[ **-E****d***dec_grd*]
[ **-F***m/n*]
[ **-M***m|r*]
[ **-N** ]
[ **-W***win_width*]
[ **-V**[*level*] ]
[ **-T***year* ]
[ **-Z***filtergrd* ]
[ **-V**[*level*] ]
[ **-n**flags ]
[ **--PAR**=*value* ]

**Note:** No space is allowed between the option flag and the associated arguments.

## Description¶

**grdredpol** will take a *.nc* file with a magnetic anomaly and compute
the reduction to the pole (RTP) anomaly. This anomaly is the one that
would have been produce if the bodies were magnetized vertically and the
anomalies were observed at the geomagnetic pole. Standard RTP procedure
assumes the direction of magnetization to be uniform throughout the
causative body, and the geomagnetic field to be uniform in direction
throughout the study region. Although these assumptions are reasonable
for small areas, they do not hold for large areas.

In the method used here computations are carried out in both the frequency and the space domains. The idea is that a large area may be decomposed in small size windows where both the ambient field and the magnetization vector change by a very small amount. Inside each of those windows, or bins, a set of filter coefficients are calculate and reconstruct for each individual point the component filter using a first order Taylor series expansion.

## Required Arguments¶

*anom_grd*- The anomaly grid to be converted.

**-G***rtp_grd*- is the filename for output grdfile with the RTP solution

## Optional Arguments¶

**-C***dec/dip*- Use this (constant) declination and inclination angles for both field and magnetization. This option consists in the classical RTP procedure.

**-Ei***inc_grd***-Ed***dec_grd*- Get magnetization
*INCLINATION*and*DECLINATION*from these grids [default: use IGRF for each of the above parameters not provided via grid]. Note that these two grids do not need to have the same resolution as the anomaly grid. They can be coarser.

**-F***m/n*- The filter window size in terms of row/columns. The default value is 25x25.

**-M***m|r*- Set boundary conditions. m|r stands for mirror or replicate edges (Default is zero padding).

**-N**- Do NOT use Taylor expansion.

**-R***west*/*east*/*south*/*north*- defines the Region of the output points. [Default: Same as input.]

**-T***year*- Decimal year used by the IGRF routine to compute the declination and inclination at each point [default: 2000]

**-W***width*- The size of the moving window in degrees [5].

**-Z***filter_grd*- Write the filter file to disk.

**-V**[*level*] (more …)- Select verbosity level [
**w**].

**-n**[**b**|**c**|**l**|**n**][**+a**][**+b***BC*][**+c**][**+t***threshold*] (more …)- Select interpolation mode for grids.

## Consequences of grid resampling¶

Resample or sampling of grids will use various algorithms (see **-n**) that may lead
to possible distortions or unexpected results in the resampled values.
One expected effect of resampling with splines is the tendency for the new
resampled values to slightly exceed the global min/max limits of the original
grid. If this is unacceptable, you can impose clipping of the resampled values
values so they do not exceed the input min/max values by adding **+c** to
your **-n** option.

## Examples¶

Suppose that *anom.grd* is a file with the magnetic anomaly reduced to
the 2010 epoch and that the *dec.grd* and *dip.grd* contain the
magnetization declination and inclination respectively for an area that
encloses that of the *anom.grd*, compute the *RTP* using bins of 2
degrees and a filter of 45 coefficients.

gmt grdredpol anom.grd -Grtp.grd -W2 -F45/45 -T2010 -Edec.grd/dip.grd -V

To compute the same *RTP* but now with the field and magnetization
vectors collinear and computed from IGRF :

gmt grdredpol anom.grd -Grtp.grd -W2 -F45/45 -T2010 -V

## Reference¶

Luis, J.L. and Miranda, J.M. (2008), Reevaluation of magnetic chrons in
the North Atlantic between 35N and 47N: Implications for the formation
of the Azores Triple Junction and associated plateau. *JGR*, VOL.
**113**, B10105, doi:10.1029/2007JB005573