Refinement to sun/wristwatch estimate of N/S direction As discussed in a 2015 question here
and shown in a 2013 illustration in Primer Magazine,
it's possible to estimate the north/south direction on the ground using a correlation between the hour hand of an analog watch and the azimuth of the Sun.

As Wikipedia:Analog watch suggests, the relation between hour angle and azimuth depends on latitude:

The method functions less well as one gets closer to the equator.

Also the Sun's declination affects its azimuth around 6 AM or PM.
Assuming that the observer has already determined the local apparent solar time,
what further correction could they apply to estimate the north/south direction more accurately?
I expect that this would be a function of the observer's latitude φ, the Sun's declination δ, and the Sun's hour angle h.
The method is generally reliable between 9 am and 3 pm.
The other consideration is when one is using the method in either of the tropics: Cancer or Capricorn.
It is generally accepted that in the northern hemisphere, the sun is located in the southern part of the sky and the opposite in the southern hemisphere. This applies to latitudes greater than the latitudes of the Tropics. Between the equator and the Tropics, depending on the time of year, the position of the sun in the sky alternates between north and south.