While looking at some issues regarding the makeup of various zones and regions for chess events, I did a little messing around with data. The goal is to try and equalise the makeup of zones, based on measurable criteria.
As a first attempt I used recent rating data to come up with a number that measures the 'strength' of a federation. This does not just come down to average rating (in fact my first attempt ignored ratings), but to number of players and number of titled players. As a rough cut I came up with the following top 20 (with the score I found for them)
RUS 1842.932
GER 1101.273
USA 694.061
ESP 573.55
UKR 537.533
IND 532.761
SRB 465.432
FRA 448.532
POL 408.356
HUN 397.325
NED 315.182
CZE 295.835
ENG 245.108
ISR 243.719
CUB 239.675
ROU 232.501
ARG 225.578
CHN 221.433
CRO 216.734
ITA 199.595
Now I am not going to say what scoring system I used (or weightings), as I am interested in what jumps out here. India and China may look to be ranked too low, but there is a reason for this. Both countries do not rate enough events in the FIDE system, and this in part is the consequence. Also, Serbia might be a little high these days, but this is due to historical factors.
If you are interested, Australia is 38th (120.943) with NZ 73rd (29.868)