Just to try to make the rating system more understandable here is an analysis of two Doak courses that many are familiar with - Streamsong Blue and Pacific Dunes. Tom expressed surprise that PD has such a high slope compared to many of his other courses. Maybe this will answer that too.
I picked tees that were similar length at each course as that takes pure length (which is the very dominant factor in the rating system) out of analysis. Turns out to be the Black tee in both cases.
Under the USGA rating system all longer courses will be more difficult for both the scratch and bogey golfer. The longer course will also be relatively more difficult for the Bogey golfer compared to the Scratch golfer. For each 100 yards added to the length, the course rating goes up 0.45 for Scratch and the bogey rating goes up 0.62 for Bogey. The distance rating is irrespective of any architectural features of the course.
Here's the basic information about the two courses, Black tee:
Streamsong Blue Pacific Dunes
Yardage 6698 6633
Scratch Rating 71.8 73.2
Bogey Rating 96.0 99.7
Slope 130 143
So, PD is marginally shorter, but 1.4 shots harder for S and 3.7 shots harder for B. The difference between those two numbers accounts for why PD's slope is 13 higher using the USGA math.
The rating system is a two factor system - length and obstacles.
Length is very dominant and is based on effective playing length which accounts for changes due to non-standard roll, topography and wind. For this analysis I assumed that neither course's length was materially changed by those factors. The rating system has a formula for calculating the length rating for both S and B. Applying it to the two courses you get the following. By subtraction the Obstacle rating can be obtained. In practice in the rating process the evaluators measure a lot of stuff apply a lot of formulas and math to arrive at the Obstacle rating. As you'll see below, the Obstacle rating is very small relative to the length.
Streamsong Blue Pacific Dunes
Length Rating S 71.3 71.1
Length Rating B 92.6 92.2
Obstacle Rating S 0.5 2.1
Obstacle Rating B 3.4 7.5
Not surprisingly the length ratings for both Scratch and Bogey are very close. The slope based on length alone is around 114 - 115. The difference in the Obstacle ratings account for the difference in the overall Slope.
The Obstacle Rating is based on 10 factors that are rated on a scale of 0 - 10 with 10 being the most severe. There are guidelines in the rating system as to how to determine what score should be assigned to a particular factor for each hole on a course. The 10 factors are topography, fairway, recoverability and rough, out of bounds, water hazards, trees, bunkers, green target, green surface, and psychological.
With both SS Blue and PD we can eliminate out of bounds and trees as relevant factors. Topography is pretty similar too.
Fairways make PD tougher - they are significantly narrower than SS Blue. SS Blue has enormously wide fairways for the most part - it's a much easier driving course.
Recoverability and rough is certainly harder at PD. The gorse is unforgiving and the rough next to the fairways. At SS Blue you can recover from most places if you get off the enormous fairways.
They both have a few water hazards but the ones at 4, 11 and 13 at PD are probably more problematic than the ones at SS Blue
Bunkering is difficult at both but I'd guess there are more severe ones in play at PD.
I'm not sure there is a lot of difference in green targets between the two but I'd have to go through hole by hole to reach a judgement.
Green surfaces seem harder to me at SS Blue but there really probably not much difference between the two.
I find PD more psychologically challenging because of the narrower fairways and the ocean close to a few holes but this factor doesn't carry much weight.
More later on how you might game the system to raise or lower a course slope rating.