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I have a raster map of Eurasia, as shown here:

enter image description here

I want to move the Kamchatka Peninsula (on the far left side of the map) to the right side, so that the map is continuous and I can crop it to Eurasia alone/I don't want to have to include a giant blank space where the Atlantic Ocean and the Americas go.

How can I make this happen? I am using R with the raster and rgdal packages, but I am also comfortable with other GIS softwares (i.e. GDAL, GRASS GIS).

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If you want to use QGIS, you can easily define a custom projection, based on an existing projection. Let's say you want to use EPSG:4326 (WGS 84) with prime meridian shifted from Greenwich to 90° East. This solution works the same way for modifying other projections as well.

Open Menu Settings / Custom Projections… and click Copy parameters from existing CRS - the small copy-icon on the right, see red box in the screenshot:

Custom projection dialog: here, the values were already modified to PRIMEM["Greenwich",90,. In the textbox name, define a name for the custom CRS so that you can easily recognize it: enter image description here

Select the existing CRS you want to modify, here EPSG:4326. In the line saying PRIMEM["Greenwich",0, (highlighted in red), replace 0 by 90:

PRIMEM["Greenwich",90,

Then go to the last line and delete ID["EPSG",4326] (the last, final closing square bracket ] should remain).

Screenshot: this is how the original EPSG:4326 WKT-definition looks like. Highlighted in red where you have to make your changes: enter image description here

And that's how the result looks like:

enter image description here

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