The routine posted looks alot like what I’ve done in the past. Although I’m not too sure about explosive dips where your hands leave the bar, that sounds like a bad idea to me.
What worked best for me was to treat weighted pullups and chinups like any other exercise–which means lots of heavy triples, doubles, and singles when I’m focusing on strength gains. Doing that I went from a 1RM of somewhere around 25lbs for chins up to doing triples with 75lbs in a few months at most.
ME means max effort lift. That means you build up to a heavy 1-5 rep max. Less experienced lifters might want to stick to higher reps, but 1RM lifts are safer and Westside barbell gradually changed to doing 1RMs almost all the time.
DE means dynamic effort. Speed work basically. Usually 8 sets of 3 or 12 sets of 2 at 45-66%.
For more information, read Dave Tate’s article called the periodization bible part 1 and 2.
Here is the deal, If you can do at least 20 pull-ups/dips you can use a dynamic day. Also if you can make the load which your lifting (your body weight in this case) be 60% of your max then you can do a DE day. If you can do less than 5 chins use a reverse band set up, if you can do more than 5 use weighted chin work one day (ME) and do rep work on the next day (well 72 hours later). If you have any more questions, just ask the thinker over at elitefts.com