I think it is an underhanded french braid. Just do a french braid but instead of going over the top go under. When done this way more of the "braid" shows. Kinda hard to explain hope that makes sense.
I tried that! It is easy to do...but hard to do it the RIGHT way! Haha I can do a loose one, but those tight ones get me! And they never stay in for long, gr.
I better example on how to do a running braid. If you do it underhand like Vidaloco said it really makes the actual braided portion stand out nicer. I disagree with how she ended her's though. I either finish it like I would for a typical button braid, or I thread the whole end braided section up behind the french braided portion...not just sewn into the front.