To preserve compass accuracy when traveling large distances, the dial card in your compass should be balanced in order to compensate for the dip caused by the Earth's magnetic field. The picture below is the back of a compass card, showing the two magnets that make it work, along with the daubs of solder on the corners that are applied to balance the card.
Here are a few related notes from the Ritchie Compass company
"Ritchie compasses come standard balanced for Zone 1, which essentially includes all of the Northern hemisphere. If you're requesting balancing for Zones 2-7, simply indicate the zone that is most central to your boating area."
"Once your compass is balanced for a specific zone, it will maintain accuracy for one Zone north or south. Ritchie recommends using a compass that is balanced for the zone where the boat will be operated most frequently."
To help you judge this more specifically, see this global plot of the dip angle (inclination).
You can also look at just the vertical component of the magnetic field as another way to judge this. A high res pdf of that, along with one of the inclination shown above, plus world variation and other useful tools is at NOAA's World Geomagnetic Data Center, which is now part of the NCEI, see especially the link to these types of images (they are high res pdfs). It could be valuable to save the pdf of world variation—they call it "declination."
Here is another company's plot of the zone balancing overlaid on one of these dip maps... at some (unknown) date in the past. The lines have slipped north somewhat over whatever time period is reflected here.