i've been having a bit of a think about this.
runnning and jogging are not two descrete terms in the way that runnning and walking are. there are very easily determined biomechanical differences between walking and runnning in a way that there just aren't between runnning and jogging.
if we accept that this is the case then the terms "runnning" and "jogging" are essentially merely two terms on the same sliding scale of a particular activity. any cut off point imposed on the line is purely arbitary due to the fact that R/J is a continuous rather than descrete variable.
given this, i would suggest that what constitutes "runnning" is dependent on who is doing the runnning.
for example:
imagine myself and Mo Farah are going for a 'run' together. he's a mate and he's invited me for a gentle jog on one of his slow days, because he's nice like that. he sets off at 40 minute 10km pace, thinking he's taking it nice and easy. meanwhile i'm busting a gut to keep up and am in no way considering myself to be jogging.
in essence i would say that the difference between jogging and runnning comes down to a matter of effort. Mo "runs" at 27 minute 10km pace and would think of a 40 minute 10km as a gentle stroll. i on the other hand recently did my second 10km race in a pb of 44:58 and at the end would happily have lamped anyone who said i'd been jogging.
flat-out i might just about be able to run as quick as Mo does over 10km, but i'd be puking after 200 metres or so. does that mean that any slower than that i'm just jogging? i don't think so.