I'm all in favor of using math because I like to do it myself. But, I also like to make sure that those numbers are accurate and being applied correctly. So, a few questions and comments for you:
1. The average daily park attendance is close to what I have seen. From the way you posed it, it looks like you are just estimating how much above average the crowds are on a day when the park has a crowd level of 10 as opposed to a crowd level of 5. 40,000 seems to be as good a guess as any.
Park attendance at DAK is approximately 10,000,000 per year that comes out to 27,777 on average. I don't think 35,000 would be a 10. Probably more like a 7.
2. I do note that, according to Touring Plans, DAK isn't even predicted to have a crowd level of 10 over the Christmas holiday, when the overall resort crowd level is listed at a 10. It is well known that DAK is the least popular of the 4 parks, so it is likely to get less insanely crowded than the others, even at the busiest times.
I believe Hollywood Studios is the least attended park. And DAK is insanely crowded during peak times from 11:00 -3:00. After that it is a ghost town.
3. I would like to know where you are getting your ride and FP capacity numbers and how you are calculating them. I have been trying to figure ride capacity numbers using some information on Touring Plans and, using that, I estimated a total ride capacity for EE of 18,000 in 12 hours. The Hub has said that they generally figure 4 FP riders for each 1 standby, so if FP accounts for 80% of capacity, the total FP capacity would be a little higher than 11,500 in 12 hours. (Because DAK is generally open from 8AM-9PM over Christmas this year, that would add still a little more capacity).
4. Although the Safari has a similar hourly ride capacity, it is limited because it shuts down at dusk, which in December means it closes around 4:45. I am assuming that that is why you have given KS a lower FP capacity.
Well I have been collecting the ride capacities for a while now. They are from a wide range of sources. Even if my numbers are off a little, it doesn't matter that much. They are in the ballpark. DAK does have the least amount of attractions and the least capacity for FP. There isn't really an argument there. I think the 77,000 number pretty darn close.
Ride/ Theoretical hourly Ride Capacity/ operational Ride Capacity (90%) /Total and /70% FP distribution:
Expedition Everest 1800 1620 16200 11340
Kilimanjaro Safaris 1400 1260 12600 8820
both at 10 hours (you can deduct some more from KS because it closes earlier if you want).
Every single seat of the day is not filled. For every stoppage, Theoretical Capacity drops, every delay eats into the numbers.
5. I am willing to ignore Kali too because we only ride that on warm days and, even then, only when we are going to be returning to the resort right after we ride. I wouldn't expect to be riding it in December, though I am sure some people will do it and will choose FPs for it if they are available.
I included every single FP of Kali in my 77,000 estimate
6. You are clearly ignoring the possibility that there will be some FPs withheld for same day use. That issue has been discussed separately, and I will accept it for now. You are also ignoring the possibility of overbooking of FP+ to recognize the fact that some people who make reservations will end up not using them. I think it is inevitable that there will be at least some overbooking, and it could be significant based on Disney's analysis of what percentage of FP+ reservations are actually used.
I have brought that up in all my analyses. I agree, there will be overbooking to account for the no shows. That does give them a little leeway.
7. The numbers you are using illustrate the challenge of getting FP+ reservations for a popular attraction, but they also illustrate one of the weaknesses of FP-. If the total capacity of FPs at KS and EE is only 20,300, and the park attendance is 40,000, the average number of FPs per guest for those 2 attractions is only 0.5. In other words, under either system at least half of the guests aren't getting a FP for either attraction, and that number only goes down as more guests take 2 or more.
It does. I agree. One of the differences though is my previous post about how they are allocated now. There is a fundamental difference.
8. The points you are making about EE and KS could be applied (with slightly different numbers based on ride capacity, park attendance, and park hours) to Soarin and Test Track at Epcot and TSMM and RNRC at DHS. They illustrate why tiering is being put in place to allow more guests to get a FP for at least one of the most popular rides.
Yes. That is why tiering is there. And the people who say, I like FP+ but not with the tiering - there is no hope of a tierless WDW... until they build new attractions. The math doesn't work.
As for the 70% or 80% FP distribution. We have had this discussion before.
I have read that the FP distribution used to be 60% and now it is creeping to 70% - leading to longer to FP return line waits and longer standby waits.
As you inch that number up to 80% or 90% you are causing the FP line to grow longer and longer until you reach the point of 100% scheduled times.
And I can't wrap my head around this issue (I am sure somebody else can help).
Is FP distribution rate say 70% equal to the rate at which people are let in on rides? 4:1? 80%
For example if 70 percent of the fastpasses are allocated for the day, the amount of people actually getting on a ride from the fast pass side doesn't necessarily have to be 7 for every ten. The loading rate is based on a different set of circumstances.