Ken, maybe coincidentally, but root source is Petzold.
I used N=2, Jerry assumes N=1 in the Petzold equation.
Study here validates N=2 (no pack) but with a lot of standard deviation largely predicted by total weight: skin out+bodyweight. The study also investigated subjective perceived effort reported so that can also be mapped in.
So, using this approach, my calorie burn can be can be adjusted for body and pack weight and it gives me an idea of perceived effort.
For long trips I do this and then then convert to a BMR/PAL (which also is dependent on hiking speed) to determine my final predicted calorie burn. For example, for me:
I always find it’s pretty close because I adjusted my personal “N” after a couple week long trips by counting calories and before/after weighing myself.

