Is double knotting laces pretty much standard for running shoes?

Why would you wear shoes?

I prefer to do one loop underneath my shoe just to be safe

Yes.

Yes. Always in races, at least.

I double tie my running shoes. I don't know if I'd call it a "double knot," though. I tie a standard bow, then knot the loops together. So they are double tied with one knot and one bow, not double knotted.

If you use granny knots, then yes, double knot the laces.

But if you use a bow knot, then you don't need to double them.

However, in races it's a good idea just in case.

I use a bowline for training and a noose for my spIke's on meet day.

I don't find double knotting to be much of an improvement for pairs of shoes that come untied easily. I mean, it helps but those shoes still come untied sometimes. Instead, I always use a harness bend in races and all the time for particular pairs of shoes that come untied easy.

A little off topic, but related: have you checked out Arthur Lydiard's funky way of lacing shoes? It's depends on the shoe design but for some it's a huge improvement.

I go an extra step.

When making my first bow knot I take the running end around the loop TWICE. Doing this, by itself, will lock down a single bow way better than the traditional bow knot. A salesman at a suit store showed me this trick.

I then throw another bow knot using the the 2 loops just so they are not flopping around.

I never have issues with my shoes coming untied mid-run.

Always singles. Never come undone.

not that guy wrote:

I go an extra step.

When making my first bow knot I take the running end around the loop TWICE. Doing this, by itself, will lock down a single bow way better than the traditional bow knot. A salesman at a suit store showed me this trick.

I then throw another bow knot using the the 2 loops just so they are not flopping around.

I never have issues with my shoes coming untied mid-run.

This ^

I triple knots them for races

not that guy wrote:

I go an extra step.

When making my first bow knot I take the running end around the loop TWICE.

Try doing the same with the first knot. (Just the simple cross over.) Instead of just crossing once, do it twice. This creates a bit of extra friction and keeps things in place so that you don't lose any tightness while working on the bows.

tie them shues wrote:

not that guy wrote:

I go an extra step.

When making my first bow knot I take the running end around the loop TWICE. Doing this, by itself, will lock down a single bow way better than the traditional bow knot. A salesman at a suit store showed me this trick.

I then throw another bow knot using the the 2 loops just so they are not flopping around.

I never have issues with my shoes coming untied mid-run.

This ^

https://www.youtube.com/watch?v=aQ66r5vMqo8

I do that too when needed, though there are different ways to do it.

The way in the video is not the best way. He's doing a granny version of it - meaning he's going left over right, then left over right again. If he modified it bit by going right over left first, then his knot would be better. It would be Ian's secure knot:

Note that the video's knot sits like the "un-balanced" granny knot.

This is one of the ones I use when I want a secure knot, though I tie it slightly differently (with the first loop on the other side):

I grew up learning the granny knot version of the standard single tie. I also sometimes did double knotting by doing another cross of the loops. I found that those don't really work - for those slippery laces that tend to undo themselves, double knotting that way will come undone pretty quickly, and the granny knot base knot will come undone.

As a climber in my 20s, I knew all kinds of knots well, but never re-examined how I did my shoe laces until 10-15 years ago when I found that Ian's knot site. Any of those secure knots will be better than any standard double knot. You can easily feel the extra tightness by feeling how much harder it is to tug loose one of the secure knots. I've never had a tightly done secure knot come untied, no matter how prone the laces are to coming undone with a regular knot.