The usual goals for limiting ampacity of conductors are to not degrade the insulation thermally and to not damage surroundings by heat. Achieving these goals requires consideration of composition of the conductor(s) … Al vs Cu for example … and diameter of conductors. In addition, ambient temperature, insulation type, ventilation or other cooling, chemical environment, whether multiple conductors are in close proximity, and inductive heating of nearby wire coils and ferromagnetic materials must be considered. Sometimes, other factors, like RF emissions, should be considered. There are no simple formulas or tables that can accurately provide useable ampacities of conductors based solely on diameter (e.g. AWG).
Various electrical code manuals and regulations have tables that take many of the above-mentioned factors into consideration.
Mike