Thanks to the post above by @Omar Comin'
Men's Running Qualification
Host - Brazil
1st WS - Fiji (164 points) - Qualified
2nd WS - South Africa (154 points) - Qualified
3rd WS - New Zealand (152 points) - Qualified
4th WS - England (GB) (132 points) - Qualified
Regional Qualifiers (Tournaments to be held 2nd half 2015 but I will assume the they will go the way of the World Rugby Series rankings)
Africa - Kenya
Asia - Japan
Europe - France
North America - USA
Oceania - Australia
South America - Argentina - Qualified (CONSUR)
Final Qualification tournament (assume the next best team gets this)
Lucky bastards Samoa (Final v Canada/Portugal)
Woman's Running Qualification
Host - Brazil
1st WS - New Zealand (108) Qualified
2nd WS - Canada (96) Qualified
3rd WS - Australia (94) Qualified
4th WS - Great Britain (76) Qualified on a count back
Regional Qualifiers (Tournaments to be held 2nd half of 2015 but I will assume the they will go the way of the World Rugby Series rankings)
Africa - South Africa
Asia - China
Europe - France
North America - USA
Oceania - Fiji
South America - Columbia (CONSUR)
Final Qualification tournament (assume the next best team gets this)
Lucky Bastards - Russia (v Spain)
Qualification Schedule
2015 CONSUR 7's Olympic Qualifying Tournament 8 June 2015 TBA http://www.consur.org/index.php/component/k2/item/2411-resultados-parciales-dia-3
2015 NACRA 7's Olympic Qualifying Tournament 14 June 2015 Cary, United States
2015 Rugby Europe 7's Olympic Qualifying Tournament 12 July 2015 Various
2015 ARFU 7's Olympic Qualifying Tournament 8 November 2015 Hong Kong
2015 CAR 7's Olympic Qualifying Tournament 8 November 2015 Kenya
2015 FORU 7's Olympic Qualifying Tournament 15 November 2015 Auckland, New Zealand
Men's Final Qualification Tournament
Europe 1, Europe 2, Europe 3, Europe 4
Africa 1, Africa 2, Africa 3
Asia 1, Asia 2, Asia 3
Oceania 1, Oceania 2
North America 1, North America 2
Chile, Uruguay
Women's Final Qualification Tournament
Europe 1, Europe 2, Europe 3, Europe 4
Africa 1, Africa 2, Africa 3
Asia 1, Asia 2, Asia 3
Oceania 1, Oceania 2
North America 1, North America 2
Argentina, Venuzuela