howmuchsun

Vitamin D from sunlight in Belgrade

Belgrade sits at 44.80°N, 120 m above sea level. Between 16 October and 5 March the midday sun never climbs high enough for your skin to make vitamin D at all — 141 days of the year.

How long do you need outside?

To make 1000 IU 12 min at solar noon in July
Sunburn after 29 min unprotected, same conditions
15 minutes gives 201% of the 600 IU daily reference intake

Month by month in Belgrade

At solar noon, for skin type III with arms and legs exposed.

MonthSun heightUV index 1000 IU inBurns after
January 24.1° 1.2 no synthesis 193 min
February 32.6° 2.2 no synthesis 104 min
March 43.2° 3.8 30 min 61 min
April 55.0° 5.8 19 min 40 min
May 64.1° 7.3 14 min 32 min
June 68.5° 8.1 13 min 29 min
July 66.7° 8.1 12 min 29 min
August 59.2° 7.3 14 min 32 min
September 48.1° 5.4 20 min 43 min
October 36.6° 3.2 35 min 72 min
November 26.7° 1.6 no synthesis 143 min
December 21.9° 1.0 no synthesis 229 min

When during the day?

Vitamin D-effective UV by month and hour, in Europe/Belgrade local time (daylight saving included). Darker cells mean faster synthesis.

Vitamin D index by month (rows) and local hour (columns). Each cell shows the rounded value; blank means zero.
Month456789101112131415161718192021
Jan 1 1 1
Feb 1 1 2 2 1 1
Mar 1 2 3 3 3 2 1 1
Apr 1 2 3 5 5 5 4 2 1
May 1 2 3 5 6 7 6 5 3 2 1
Jun 1 2 4 5 7 7 7 6 4 2 1
Jul 1 2 3 5 7 8 7 6 4 3 1
Aug 1 3 5 6 7 6 5 4 2 1
Sep 1 2 3 4 5 4 3 2 1
Oct 1 2 2 3 2 2 1
Nov 1 1 1 1 1
Dec 1 1 1

none strongest

Best time in July: around 12:30 local time.

How much skin matters more than how much time

In July, at solar noon, for skin type III:

ExposedBody surface1000 IU in30 minutes gives
Face and hands 5% not reachable 482 IU
Face, hands and forearms 10% 31 min 963 IU
Face, hands, arms and legs 25% 12 min 2,408 IU
Swimwear 80% 4 min 7,706 IU

Note the first row. With only face and hands exposed, 1000 IU is not reachable at any duration: vitamin D synthesis saturates, so the previtamin D3 in your skin converts to inactive products as fast as it forms. Past that ceiling, extra time adds sunburn risk and no more vitamin D. Exposing more skin briefly beats exposing less skin for longer.

Assumptions

  • Clear sky. Every figure is an upper bound. Cloud can cut UVB by more than half, and these numbers do not model it.
  • Direct exposure. Glass blocks UVB almost completely, so sunlight through a window produces no vitamin D. Sunscreen and clothing block it too.
  • A healthy adult. Age, body composition, medication and existing vitamin D status all change the real answer.
  • Ozone is modelled, not measured. Column ozone comes from a smooth climatology, so day-to-day variation is not captured.

Full methodology, sources and known limitations