Replicate the natural processes? It's literally just UV light.
UV comes in an huge variety of strengths outdoors.
There are no calculations to be a "bit off". It's just strong UV. You're making it sound a lot more complicated than it is.
Yeah. There are so many variables already. From angle to time of year to skin pigment to duration
Sun also emits infrared which seems to cause positive effects counteracting some of the UV related problems.