Those stats are if I understand the request correctly already implemented as checker and more tools as checkers exist at http://project-gc.com/forum/read?9,109
Number of caches by country (percapita and area) (Not a checker)
Cache per km2 and per population
http://project-gc.com/Challenges//22565 cacher per km2
http://project-gc.com/Challenges//22482 cacher per 100 000 people
Thes checker will also display the problem with those stats if more filtering are not applied. The result is that caching is most popular in Vatican City State or South Georgia and Sandwich Islands depending if you go by area or population
The only county on the list that are not small by area or small poopulation Norway is the only large counry that are on the per capita top 10
EDIT: I forgot to read the liked post and noticed that their ranking also used number of active Geocachers and number of event. The checker generator cant do active Geocachers. Event might be possible but I dont remeber the API limitation. A proper PGC stat could include both.
The linked page are not looking at all countiries since it has Luxemburg as #1 for caches per area where it is reality on #10. If the linked stats are only looking per area they will result in scewed result if you dont include population density in som because countries have large onpopulated aread. Are caching more popular in Denmark or Canada? the caches per capite is cacada is 1.18 times the Denmark but per area it is 0,03. So some compentation has to be done for dencisy, The other way to becayse placs like Hong-Kong wil have huge population but it is small and there is likly a lack of hiding places there,
Ordred per km^2
# | Country | nr caches | Per 100 000 | Population | Per km2 | Area km2 | Population Density | |
1 | Vatican City State | 12 | 1425.178 | 842 | 27.273 | 0.44 | 1913.636 |
2 | Monaco | 28 | 72.917 | 38400 | 14.000 | 2 | 19200.000 |
3 | Guernsey | 448 | 711.122 | 62999 | 5.744 | 78 | 807.679 |
4 | Bermuda | 302 | 487.458 | 61954 | 5.593 | 54 | 1147.296 |
5 | Jersey | 379 | 369.036 | 102700 | 3.267 | 116 | 885.345 |
6 | Macau | 88 | 13.487 | 652500 | 3.143 | 28 | 23303.571 |
7 | Gibraltar | 17 | 51.298 | 33140 | 2.429 | 7 | 4734.286 |
8 | Isle of Man | 1084 | 1282.886 | 84497 | 1.895 | 572 | 147.722 |
9 | Hong Kong | 1828 | 24.882 | 7346700 | 1.650 | 1108 | 6630.596 |
10 | Liechtenstein | 237 | 629.934 | 37623 | 1.481 | 160 | 235.144 |
Sorted per capita
# | Country | nr caches | Per 100 000 | Population | Per km2 | Area km2 | Population Density | |
1 | South Georgia and Sandwich Islands | 5 | 16666.667 | 30 | 0.001 | 3903 | 0.008 |
2 | Antarctica | 48 | 4800.000 | 1000 | 0.000 | 14000000 | 0.000 |
3 | Pitcairn Islands | 2 | 3571.429 | 56 | 0.043 | 47 | 1.191 |
4 | Niue | 43 | 2925.170 | 1470 | 0.165 | 260 | 5.654 |
5 | Falkland Islands | 70 | 2731.174 | 2563 | 0.006 | 12173 | 0.211 |
6 | Svalbard and Jan Mayen | 57 | 2157.456 | 2642 | 0.001 | 62045 | 0.043 |
7 | Norfolk Island | 43 | 1867.941 | 2302 | 1.194 | 36 | 63.944 |
8 | Norway | 77449 | 1478.930 | 5236826 | 0.239 | 323802 | 16.173 |
9 | Vatican City State | 12 | 1425.178 | 842 | 27.273 | 0.44 | 1913.636 |
10 | Aland Islands | 396 | 1364.905 | 29013 | 0.255 | 1552 | 18.694 |
11 | Isle of Man | 1084 | 1282.886 | 84497 | 1.895 | 572 | 147.722 |