Probably lots of moving about the landscape. Land tenure is something we know precious little about for our ancestors but it's reasonable to assume that covering ground can be advantageous generally.

Also, the image of early hominids running pell-mell after game presupposes some things about the world they lived in. Running down prey would, for instance, likely catch the attention of the local predator guild, who might be just as likely to steal your now-weary prey and kill you too. On the face of it, human cursorial hunting sounds ludicrously dangerous in most circumstances. The endurance hunting guys have no real answer to this.