What a great looking scarf pattern you are making! I found it free on Knit Picks.
The pattern is a simple one where you double the number of stitches on your needle by knitting into the front and back of each stitch on one row, then you knit even for the next couple rows, then you double your stitches again, then knit even again and so forth.
The row after you have doubled your stitches is all knit, where you knit into each stitch on your needle. So if you start by casting on 200 stitches, the first time you work the increase row, you will end up with 400 stitches on your needle. On the next couple knit rows, you will knit each of those 400 stitches. Then you work another increase row which will give you 800 stitches. Knit each of those 800 even for the next few rows. Then increase again for 1600 stitches! This is what gives the nice ruffle effect to the scarf.
Have fun with this pattern! Please share a picture when you are finished. I would love to see how it turns out!