I realise this string of posts is about meter tails but it jogged my memory about the problem of 'thermal runaway' in buried cables. Here is a short interesting piece:
http://manuals.decagon.com/Application Notes/AN_Thermal Runaway.pdf
No doubt if thermal runaway is not considered there are/may be instances where this does/could happen above ground in other installations and installation methods.
To help you ponder remember:
For a steady state temperature Ohmic heating P = Thermal Heat flow Q
1. Ohmic heating P = Isquared R
2. Thermal heat flow Q = Tconductor-TAmbient/(Rt) were Rt is thermal resistance of insulation) in the units of degrees C/Watts and Q in Watts
The thermal resistance is series combination each of the layers of insulation.
For more detail look at the Neher-McGrath calculation of the ampacity of a condutor:
Understanding the Neher-McGrath Calculation and the Ampacity of Conductors - http://www.electrician2.com/ampacity.htm
Is a circular cross section the best shape for a conductor carrying a high current? If not, what might be better?