World Football Elo Ratings

The World Football Elo Ratings is a ranking system for men's national association football teams that is published by the website eloratings.net. It is based on the Elo rating system but includes modifications to take various football-specific variables into account, like the margin of victory, importance of a match, and home field advantage. Other implementations of the Elo rating system are possible and there is no single nor any official Elo ranking for football teams. The FIFA World Rankings -not based on the Elo method- is the official national teams rating system used by the international governing body of football and is therefore more prevalent.

The ratings consider all international "A" matches for which results could be found. Ratings tend to converge on a team's true strength relative to its competitors after about 30 matches.^[1] Ratings for teams with fewer than 30 matches should be considered provisional.

The FIFA Women's World Rankings system uses a modified version of the Elo formula whereas the FIFA men's ranking system uses a non-Elo formula. A 2009 comparative study of eight methods found that the implementation of the Elo rating system described below had the highest predictive capability for football matches, while the men's FIFA ranking method performed poorly.^[2]

Top 100 ranking

The following table shows the top 100 teams in the World Football Elo Ratings on 4 December 2016, using data from the World Football Elo Ratings web site.^[3]

Each national team's FIFA World Rankings are shown as they were in the latest release on 24 November 2016.^[4]

	AFC
	CAF
	CONCACAF
	CONMEBOL
	OFC
	UEFA
	No confederation

Elo Rank	1 Year Change	Team	Points	FIFA Rank
1	1	Brazil	2066	2
2	1	Argentina	2029	1
3	2	Germany	2017	3
4	4	France	1988	7
5		Chile	1964	4
6	2	Spain	1961	10
7	8	Italy	1924	16
8	1	Colombia	1912	6
9	2	Portugal	1910	8
10	4	England	1908	13
11	2	Uruguay	1897	9
12	1	Mexico	1895	18
13	3	Belgium	1886	5
14		Netherlands	1869	22
15	2	Croatia	1867	14
16	6	Costa Rica	1836	17
16	2	Switzerland	1836	11
18	6	Ecuador	1830	20
18	7	Poland	1830	15
20	3	Peru	1815	19
21	4	Republic of Ireland	1781	23
22	2	South Korea	1780	37
23	11	Iran	1765	30
24	5	Turkey	1764	24
25	9	Ukraine	1747	29
26	1	Sweden	1746	41
27	18	Iceland	1745	21
28	3	Japan	1744	45
29	15	Wales	1738	12
30	7	Bosnia and Herzegovina	1737	27
31	2	Slovakia	1732	25
32		Ivory Coast	1728	34
33	3	United States	1719	28

Elo Rank	1 Year Change	Team	Points	FIFA Rank
34	4	Serbia	1705	44
35	4	Australia	1700	48
36		Denmark	1694	46
37	2	Paraguay	1685	40
38	10	Czech Republic	1675	43
39	6	Senegal	1674	33
40	2	Panama	1672	58
40	16	Russia	1672	55
42	8	Egypt	1669	36
43	2	Hungary	1668	26
44	16	Venezuela	1665	59
45	25	Austria	1664	31
46	3	Nigeria	1662	50
47	19	Romania	1661	39
48	1	Uzbekistan	1660	62
49	8	Scotland	1649	67
50	7	Greece	1634	42
51	5	Slovenia	1632	50
52	9	Algeria	1628	38
53	9	Northern Ireland	1626	32
54	2	Cameroon	1618	65
55	1	Bolivia	1612	95
56	5	South Africa	1607	60
56	9	Israel	1607	54
58	17	Morocco	1600	57
59	9	Tunisia	1591	34
60	12	Ghana	1590	53
61	18	Saudi Arabia	1578	56
62	21	DR Congo	1575	47
62	11	United Arab Emirates	1575	64
64	8	Montenegro	1570	63
65	1	Belarus	1566	74
	1	Bulgaria	1566	72
	9	New Zealand	1566	110

Elo Rank	1 Year Change	Team	Points	FIFA Rank
68	10	Albania	1560	49
68	2	Qatar	1560	88
70	17	Norway	1555	84
71	2	Mali	1554	61
72	14	Honduras	1546	76
73	8	Syria	1536	94
74	2	North Korea	1520	121
75	16	Finland	1519	93
76	5	China PR	1514	83
77	20	Burkina Faso	1508	50
78	2	Canada	1503	118
79	16	Jamaica	1499	76
80	3	Uganda	1498	73
81	15	Guinea	1495	71
82	14	Guatemala	1494	79
82	18	Martinique	1494	—
84	6	Jordan	1493	109
85	7	Armenia	1482	87
86	31	Trinidad and Tobago	1479	78
87	4	Kuwait	1468	172
88	3	Iraq	1465	120
89	4	Haiti	1462	86
89	5	Libya	1462	69
91	1	Oman	1461	122
92	4	Gabon	1457	111
93	2	Georgia	1451	119
94	13	Zambia	1442	91
95	9	Lithuania	1441	106
96	10	Congo	1437	70
97	28	Cape Verde	1432	80
98	5	Thailand	1424	129
99	7	Bahrain	1423	127
100	2	Northern Cyprus	1418	—
100	11	Estonia	1418	122

Highest average ratings since 1970

Time averaged Elo or Elo-like scores are routinely used to compare chess player strengths.^[5]^[6]^[7] The following is a list of the national teams with the highest average Elo score from 1 January 1970 to 1 December 2016. Before this time intercontinental play was fairly limited and many nations in Africa, North America, and Asia had played too few games yet to create a representative Elo score.

Rank	Country	Avg Elo
1	Brazil	2017.9
2	Germany^{[lower-alpha 1]}	1988.4
3	Netherlands	1932.4
4	England	1929.2
5	Italy	1926.3
6	Spain	1919.5
7	Argentina	1912.3
8	France	1893.0
9	Russia^{[lower-alpha 2]}	1853.3
10	Czech Republic^{[lower-alpha 3]}	1836.7
11	Portugal	1827.7
12	Serbia^{[lower-alpha 4]}	1817.9
13	Sweden	1802.8
14	Mexico	1790.2
15	Romania	1789.8
16	Uruguay	1779.3
17	Belgium	1774.8

Rank	Country	Avg Elo
18	Poland	1773.7
19	Denmark	1771.7
20	Scotland	1744.2
21	Chile	1732.1
22	Paraguay	1729.2
23	Republic of Ireland	1729.1
24	Bulgaria	1709.9
25	Australia	1699.9
26	Switzerland	1699.4
27	Austria	1697.0
28	Colombia	1696.7
29	Hungary	1691.5
30	South Korea	1681.8
31	Iran	1673.6
32	Greece	1663.2
33	Wales	1661.8
34	Egypt	1660.9

Rank	Country	Avg Elo
35	Nigeria	1660.3
36	Peru	1647.8
37	Turkey	1647.3
38	Israel	1643.1
39	Norway	1642.8
40	Cameroon	1639.6
41	Morocco	1636.0
42	Ivory Coast	1630.9
43	United States	1619.7
44	Ghana	1616.0
45	Northern Ireland	1610.6
46	Iraq	1607.0
47	Costa Rica	1605.7
48	Japan	1604.3
49	Tunisia	1599.3
50	Ecuador	1599.2
51	China PR	1591.1

List of number one teams

The following is the list of nations who have achieved the number one position in the World Football Elo Ratings since 1872:

Start Date	Nation	# of days
30 Nov 1872	England	1,190
4 Mar 1876	Scotland	5,845
5 Mar 1892	England	4,377
29 Feb 1904	Scotland	12
12 Mar 1904	England	4,488
25 Jun 1916	Denmark	105
8 Oct 1916	England	1,428
5 Sep 1920	Spain	13
18 Sep 1920	Uruguay	386
9 Oct 1921	Spain	14
23 Oct 1921	Uruguay	7
30 Oct 1921	Spain	938
25 May 1924	Czechoslovakia	1
26 May 1924	Uruguay	489
27 Sep 1925	Spain	34
31 Oct 1925	Scotland	358
24 Oct 1926	Uruguay	1,104
16 Jun 1929	Argentina	104
28 Sep 1929	Uruguay	34
1 Nov 1929	Argentina	1,668
27 May 1934	Austria	11
7 Jun 1934	Italy	1,277
5 Dec 1937	Argentina	168
22 May 1938	Italy	644
25 Feb 1940	Argentina	144
18 Jul 1940	Italy	171
5 Jan 1941	Argentina Italy	4
9 Jan 1941	Argentina	10
19 Jan 1941	Italy	10
29 Jan 1941	Argentina	445
19 Apr 1942	Italy	36
25 May 1942	Argentina	1,139
7 Jul 1945	Italy	2
9 Jul 1945	Argentina	9
18 Jul 1945	Italy	28
15 Aug 1945	Argentina	127
20 Dec 1945	Italy	44
2 Feb 1946	Argentina	2,373
2 Aug 1952	Hungary	267
26 Apr 1953	Argentina	21
17 May 1953	Hungary	1,141
1 Jul 1956	Argentina	7
8 Jul 1956	Hungary	269
3 Apr 1957	Argentina	3
6 Apr 1957	Hungary	67

Start Date	Nation	# of days
12 Jun 1957	Argentina	95
15 Sep 1957	Hungary	8
23 Sep 1957	Argentina	13
6 Oct 1957	Hungary	249
12 Jun 1958	Brazil	637
10 Mar 1960	Argentina	50
29 Apr 1960	Brazil	27
26 May 1960	Argentina	3
29 May 1960	Brazil	1,036
31 Mar 1963	Soviet Union	560
11 Oct 1964	Argentina	3
14 Oct 1964	Soviet Union	263
4 Jul 1965	Brazil	376
15 Jul 1966	Soviet Union	10
25 Jul 1966	West Germany	5
30 Jul 1966	England	1,408
7 Jun 1970	Brazil	752
28 Jun 1972	West Germany	7
5 Jul 1972	Brazil	708
13 Jun 1974	West Germany	9
22 Jun 1974	Brazil	11
3 Jul 1974	West Germany	1,429
1 Jun 1978	Netherlands	6
7 Jun 1978	West Germany	3
10 Jun 1978	Netherlands	1
11 Jun 1978	West Germany	3
14 Jun 1978	Brazil	525
21 Nov 1979	West Germany	413
7 Jan 1981	Brazil	25
1 Feb 1981	West Germany	21
22 Feb 1981	Brazil	66
29 Apr 1981	West Germany	13
12 May 1981	Brazil	155
14 Oct 1981	West Germany	243
14 Jun 1982	Brazil	486
13 Oct 1983	Soviet Union	335
12 Sep 1984	France	232
2 May 1985	West Germany	41
12 Jun 1985	France	91
11 Sep 1985	Soviet Union	161
19 Feb 1986	France	7
26 Feb 1986	Soviet Union	28
26 Mar 1986	France	52
17 May 1986	England	15
1 Jun 1986	France	1
2 Jun 1986	Soviet Union	7

Start Date	Nation	# of days
9 Jun 1986	France	16
25 Jun 1986	Brazil	3
28 Jun 1986	France	1
29 Jun 1986	Argentina	346
10 Jun 1987	Brazil	23
3 Jul 1987	England	57
29 Aug 1987	Soviet Union	74
11 Nov 1987	England	214
12 Jun 1988	Soviet Union	5
17 Jun 1988	West Germany	1
18 Jun 1988	Soviet Union	7
25 Jun 1988	Netherlands	715
10 Jun 1990	Netherlands West Germany	2
12 Jun 1990	West Germany	7
19 Jun 1990	Brazil	5
24 Jun 1990	West Germany	725
18 Jun 1992	Germany Netherlands	3
21 Jun 1992	Germany	5
26 Jun 1992	Netherlands	75
9 Sep 1992	Germany	35
14 Oct 1992	Brazil	2
16 Oct 1992	Argentina	247
20 Jun 1993	Germany	49
8 Aug 1993	Argentina	7
15 Aug 1993	Germany	313
24 Jun 1994	Brazil	3
27 Jun 1994	Germany	12
9 Jul 1994	Brazil	708
16 Jun 1996	Germany	3
19 Jun 1996	Brazil	4
23 Jun 1996	Germany	311
30 Apr 1997	Brazil	30
30 May 1997	Germany	11
10 Jun 1997	Brazil	380
25 Jun 1998	Brazil Germany	2
27 Jun 1998	Brazil	2
29 Jun 1998	Brazil Germany	4
3 Jul 1998	Brazil	9
12 Jul 1998	France	328
5 Jun 1999	Brazil	377
16 Jun 2000	France	5
21 Jun 2000	Brazil	7
28 Jun 2000	France	713

Start Date	Nation	# of days
11 Jun 2002	Netherlands	10
21 Jun 2002	Brazil	236
12 Feb 2003	Netherlands	45
29 Mar 2003	Brazil	70
7 Jun 2003	Netherlands	4
11 Jun 2003	Brazil	8
19 Jun 2003	Netherlands	83
10 Sep 2003	France	291
27 Jun 2004	Czech Republic	4
1 Jul 2004	France	65
4 Sep 2004	Argentina	273
4 Jun 2005	Czech Republic	4
8 Jun 2005	Argentina	21
29 Jun 2005	Brazil	102
9 Oct 2005	Netherlands	3
12 Oct 2005	Brazil	265
4 Jul 2006	Italy	43
16 Aug 2006	France	20
5 Sep 2006	Brazil	1
6 Sep 2006	France	31
7 Oct 2006	Brazil	122
6 Feb 2007	France	1
7 Feb 2007	Brazil	140
27 Jun 2007	France	14
11 Jul 2007	Argentina	4
15 Jul 2007	Brazil	334
13 Jun 2008	Netherlands	8
21 Jun 2008	Spain	368
24 Jun 2009	Brazil	339
29 May 2010	Brazil Spain	4
2 Jun 2010	Brazil	1
3 Jun 2010	Spain	13
16 Jun 2010	Brazil	16
2 Jul 2010	Netherlands	1
3 Jul 2010	Netherlands Spain	3
6 Jul 2010	Netherlands	1
7 Jul 2010	Spain	1,089
30 Jun 2013	Brazil	45
14 Aug 2013	Spain	59
12 Oct 2013	Brazil	260
29 Jun 2014	Netherlands	5
4 Jul 2014	Brazil	4
8 Jul 2014	Germany	691
29 May 2016	Argentina	165
10 Nov 2016	Brazil	25

Ranking by days as leader

Nation	days	First Date as Leader	Last Date as Leader
England	13,177	30 November 1872	11 June 1988
Brazil	8,335	12 June 1958	Current
Argentina	7,449	16 June 1929	9 Nov 2016
Scotland	6,215	4 March 1876	23 Oct 1926
Germany ^{[lower-alpha 5]}	4,361	25 July 1966	28 May 2016
Spain	2,535	5 September 1920	11 October 2013
Italy	2,259	7 June 1934	15 August 2006
Uruguay	2,020	18 September 1920	31 October 1929
Hungary	2,001	2 August 1952	11 June 1958
France	1,868	12 September 1984	10 July 2007
Soviet Union ^{[lower-alpha 6]}	1,450	31 March 1963	24 June 1988
Netherlands	965	1 June 1978	3 July 2014
Denmark	105	25 June 1916	7 Oct 1916
Austria	11	27 May 1934	6 June 1934
Czech Republic ^{[lower-alpha 7]}	9	25 May 1924	7 June 2005

Elo all-time records

All-time highest ratings

The following is a list of national football teams ranked by their highest Elo score ever reached. The team in each confederation that has achieved the highest rank is shown in color.

Rank	Nation	Points (rank)	Date
1	Germany	2204 (1st)	13 Jul 2014
2	Hungary	2192 (1st)	30 Jun 1954
3	Brazil	2160 (1st)	17 Jun 1962
4	Spain	2147 (1st)	23 Jun 2013
5	Netherlands	2136 (2nd)	12 Jul 2014
6	France	2116 (1st)	15 Aug 2001
7	Argentina	2113 (1st)	3 Apr 1957
8	England	2112 (1st)	9 Nov 1912
9	Italy	2073 (1st)	20 Jul 1939
10	Poland	2044 (2nd)	1 Sep 1974
11	Russia^{[lower-alpha 8]}	2039 (2nd)	9 Oct 1983
12	Uruguay	2030 (1st)	13 Jun 1928
13	Chile	2023 (2nd)	26 Jun 2016
14	Colombia	2018 (5th)	28 Jun 2014
15	Czech Republic	2011 (1st)	27 Jun 2004
16	Austria	2004 (1st)	31 May 1934
17	Portugal	1991 (3rd)	15 Nov 2000
18	Denmark	1975 (2nd)	13 Jun 1986
19	Croatia	1974 (5th)	11 Jul 1998
20	Sweden	1972 (3rd)	13 Aug 1948

Rank	Nation	Points (rank)	Date
21	Serbia^{[lower-alpha 9]}	1969 (2nd)	10 Jun 1962
21	Mexico	1969 (6th)	9 Jun 2016
23	Scotland	1966 (2nd)	22 Feb 1930
24	East Germany	1959 (4th)	22 Jun 1974
25	Paraguay	1929 (5th)	21 Feb 1954
26	Belgium	1928 (7th)	27 Jun 2016
27	Romania	1918 (6th)	9 Jun 1990
28	Norway	1905 (9th)	23 Jun 1998
29	Greece	1903 (7th)	18 Aug 2004
30	Republic of Ireland	1895 (10th)	21 Aug 2002
30	Ecuador	1895 (12th)	17 Nov 2015
32	Switzerland	1890 (8th)	22 Jun 1994
33	Ivory Coast	1882 (12th)	26 Jan 2013
34	Australia ^{[lower-alpha 10]}	1876 (10th)	14 Dec 1997
34	Turkey	1876 (12th)	19 Jun 2003
36	Japan	1875 (9th)	15 Aug 2001
37	United States	1872 (12th)	3 Sep 2005
38	Wales	1868 (13th)	20 May 1981
39	Bulgaria	1856 (13th)	10 Jul 1994
40	Peru	1855 (14th)	11 Jun 1978

Rank	Nation	Points (rank)	Date
41	Cameroon	1852 (12th)	26 Jun 2003
42	Costa Rica	1847 (15th)	13 Nov 2014
43	South Korea	1838 (16th)	29 Dec 1978
44	Egypt	1837 (12th)	25 Mar 1965
45	Ukraine	1823 (17th)	15 Nov 2013
46	Iran	1822 (17th)	12 Apr 2005
47	Northern Ireland	1815 (17th)	23 Apr 1986
48	Nigeria	1810 (18th)	5 Jun 2004
49	Senegal	1804 (20th)	16 Jun 2002
50	Morocco	1801 (17th)	11 Mar 1976
51	Ghana	1798 (19th)	3 Feb 2008
52	South Africa	1796 (10st)	1 Oct 1955
53	Bosnia and Herzegovina	1786 (21st)	7 Jun 2013
53	Venezuela	1786 (19th)	20 Jul 2011
55	Guinea	1778 (20th)	5 Jun 1977
56	Algeria	1777 (21th)	17 Dec 1990
57	Bolivia	1768 (21st)	25 Jun 1997
58	Honduras	1767 (23rd)	5 Sep 2001
59	Iraq	1763 (22nd)	3 Dec 1982
60	Iceland	1759 (24th)	9 Oct 2016

All-time highest ranking

The following is a list of national football teams ranked by their highest Elo ranking ever reached. Note that for the highest ranking/rating of a national football team the Elo ratings website ignores the ranking/rating before 30 matches have been played.

Rank	Nation	Peak rank (first, last date)	highest rating (date)
1	Germany	1st (1966, 2016)	2202 (Jul 2014)
2	Hungary	1st (1953, 1958)	2192 (Jun 1954)
3	Brazil	1st (1958, current)	2158 (Jun 1962)
4	Spain	1st (1920, 2014)	2145 (Jun 2013)
5	Netherlands	1st (1920, 2014)	2134 (Jul 2014)
6	France	1st (1984, 2007)	2114 (Aug 2001)
7	Argentina	1st (1929, 2016)	2112 (Apr 1957)
7	England	1st (1872, 1988)	2112 (Nov 1912)
9	Italy	1st (1934, 2006)	2073 (Jul 1939)
10	Russia^{[lower-alpha 11]}	1st (1963, 1988)	2034 (Oct 1983)
11	Uruguay	1st (1920, 1931)	2030 (Jun 1928)
12	Czech Republic	1st (1924^{[lower-alpha 12]}, 2005)	2008 (Jun 2004)
13	Austria	1st (1934)	2004 (May 1934)
14	Scotland	1st (1876, 1904)	1966 (Jun 1962)
15	Poland	2nd (1975)	2042 (Sep 1974)
16	Chile	2nd (2016)	2022 (Jun 2016)
17	Portugal	2nd (2006)	1988 (Nov 2000)
18	Denmark	2st (1914, 1920)	1986 (Jun 1986)
19	Sweden	2nd (1950)	1972 (Jun 1950)
20	Serbia^{[lower-alpha 13]}	2nd (1962)	1967 (Jun 1998)

Rank	Nation	Peak rank (first, last date)	highest rating
21	Colombia	3rd (2015)	2017 (Jun 2014)
22	Mexico	4th (2016)	1967 (Jun 2016)
23	East Germany	4th (1974)	1951 (Jun 1974)
24	Belgium	4th (1920)	1926 (Jun 2016)
25	Croatia	5th (1998)	1971 (Jul 1998)
26	Paraguay	5th (1953, 1954)	1929 (Feb 1954)
27	Romania	5th (1990)	1917 (Jun 1990)
28	Wales	5th (up to 1902)	1863 (May 1981)
29	Norway	7th (2000)	1908 (Jun 2000)
30	Greece	7th (2004)	1901 (Aug 2004)
31	Republic of Ireland^{[lower-alpha 14]}	7th (1994)	1889 (Aug 2002)
32	Switzerland	8th (1924)	1890 (Jun 1994)
33	Japan	8th (2001, 2002)	1870 (Aug 2001)
34	Bulgaria	8th (1969)	1855 (Jun 1969)
35	United States	9th (2009)	1870 (Sep 2005)
36	Australia	9th (2001)	1865 (Dec 1997)
37	Turkey	10th (2002)	1873 (Jun 2003)
38	Ghana	10th (1966)	1831 (Jun 1966)
39	South Africa	10th (1955)	1761 (Oct 1955)
40	Costa Rica	11th (?)	1845 (Nov 2014)

Rank	Nation	Peak rank (first, last date)	highest rating
41	Egypt	11st (2010)	1837 (Mar 1965)
42	Ecuador	12th (2013)	1893 (Nov 2015)
43	Ivory Coast	12th (2013)	1880 (Jan 2013)
44	Cameroon	12th (2003)	1850 (Jun 2003)
45	Peru	13th (1978)	1853 (Jun 1978)
46	South Korea	15th (1980, 2002)	1830 (Jun 2002)
47	Ukraine	15th (2010)	1822 (Nov 2013)
48	Northern Ireland ^{[lower-alpha 14]}	16th (1986)	1813 (Apr 1986)
49	Nigeria	16th (2004)	1808 (Jun 2004)
50	Algeria	16th (1990,1991)	1806 (Mar 1991)
51	Iran	17th (2005)	1822 (Jun 2005)
52	Morocco	17th (1976, 1999)	1801 (Mar 1876)
53	DR Congo^{[lower-alpha 15]}	18th (1974)	1773 (Mar 1974)
54	Venezuela	19th (2011)	1784 (Jul 2011)
55	North Korea	19th (1970)	1753 (Dec 1969)
56	Senegal	20th (2002)	1802 (Jun 2002)
57	Bosnia and Herzegovina	21st (2013)	1785 (Jun 2013)
58	Bolivia	21st (1997)	1764 (Jun 1997)
59	Guinea	22nd (1977)	1765 (Jun 1977)
60	Iraq	22nd (1982)	1762 (Dec 1982)

Averages by decade

The table below shows the teams with the best average Elo score per decade (Jan 1 19X0 - Dec 31 19X9).

Rank	1920s		1930s		1940s ^{[lower-alpha 16]}		1950s		1960s
1	1908	Uruguay	1972	Argentina	2035	Argentina	2022	Argentina	1972	Brazil
2	1875	Scotland	1965	Italy	2005	Italy	2016	Hungary	1945	Soviet Union
3	1867	Spain	1893	Uruguay	1908	England	1997	Brazil	1933	England
4	1845	Argentina	1887	England	1876	Brazil	1927	England	1930	Hungary
5	1822	Czechoslovakia	1880	Austria	1870	Scotland	1878	West Germany	1922	Argentina
6	1814	England ^{[lower-alpha 17]}	1869	Scotland	1859	Spain	1860	Yugoslavia	1893	West Germany
7	1805	Denmark	1866	Spain	1845	Uruguay	1856	Uruguay	1876	Czechoslovakia
8	1781	Hungary	1819	Czechoslovakia	1838	Germany	1833	Austria	1856	Italy
9	1769	Brazil	1809	Brazil	1830	Hungary	1822	Italy	1849	Spain
10	1768	Austria	1805	Hungary	1813	Austria	1812	Spain	1841	Uruguay
11	1728	Netherlands	1769	Costa Rica	1788	Czechoslovakia	1807	Scotland	1826	Yugoslavia
12	1711	Sweden	1760	Germany	1782	Mexico	1803	Sweden	1808	Scotland
13	1693	Belgium	1686	Denmark	1765	Wales	1797	Paraguay	1794	Sweden
14	1686	Italy	1681	Sweden	1752	Sweden	1757	France	1785	Mexico
15	1677	Portugal	1681	Wales	1715	Paraguay	1729	Czechoslovakia	1742	Austria

Rank	1970s		1980s		1990s		2000s		2010s ^{[lower-alpha 18]}
1	2067	Brazil	1980	Brazil	2007	Brazil	2000	Brazil	2054	Spain
2	2046	West Germany	1971	West Germany	1998	Germany	1991	France	2048	Germany
3	1955	England	1953	Soviet Union	1962	Italy	1973	Netherlands	2044	Brazil
4	1936	Italy	1937	England	1940	France	1965	Argentina	2000	Netherlands
5	1890	Netherlands	1900	Argentina	1929	Netherlands	1960	Spain	1983	Argentina
6	1884	Poland	1899	Italy	1912	Spain	1946	Italy	1919	England
7	1879	East Germany	1895	France	1911	FR Yugoslavia^{[lower-alpha 19]}	1922	England	1892	Chile
8	1878	Soviet Union	1890	Netherlands	1910	England	1897	Germany	1885	Portugal
9	1863	Argentina	1854	Spain	1882	Denmark	1893	Portugal	1885	Uruguay
10	1858	Spain	1839	Poland	1871	Argentina	1884	Czech Republic	1872	Italy
11	1846	Czechoslovakia	1830	Belgium	1852	Czech Republic^{[lower-alpha 20]}	1844	Denmark	1870	France
12	1840	Hungary	1829	Czechoslovakia	1846	Russia^{[lower-alpha 21]}	1843	Croatia	1864	Colombia
13	1837	Yugoslavia	1829	East Germany	1844	Sweden	1825	Mexico	1856	Mexico
14	1818	Scotland	1826	Yugoslavia	1830	Mexico	1812	Sweden	1837	Croatia
15	1811	Portugal	1792	Scotland	1829	Croatia	1809	Romania	1798	Sweden
16	1798	Belgium	1789	Romania	1828	Romania	1794	United States	1793	Russia
17	1783	Romania	1788	Denmark	1814	Portugal	1793	Republic of Ireland	1789	Ecuador
18	1777	Sweden	1785	Uruguay	1791	Republic of Ireland	1792	Turkey	1775	Switzerland
19	1772	Austria	1782	Austria	1788	Colombia	1780	Uruguay	1771	Ivory Coast
20	1762	France	1781	Sweden Wales	1780	Belgium Norway	1777	Russia	1769	Ukraine

Highest rated matches

A list of the 16 matches between teams with the highest combined Elo ratings (the nations' points before the matches are given).

Rank	Combined points	Nation 1	Elo 1	Nation 2	Elo 2	Score	Date	Occasion	Location
1	4247	Germany	2184	Argentina	2063	1 : 0 ^aet	2014-07-13	World Cup F	Rio de Janeiro
1	4247	Germany	2204	Argentina	2043	2 : 4	2014-09-03	Friendly	Düsseldorf
3	4223	Netherlands	2106	Spain	2117	0 : 1 ^aet	2010-07-11	World Cup F	Johannesburg
4	4203	Brazil	2102	Germany	2101	1 : 7	2014-07-08	World Cup SF	Belo Horizonte
5	4201	West Germany	2009	Hungary	2192	3 : 2	1954-07-04	World Cup F	Bern
6	4197	Brazil	2066	Spain	2131	3 : 0	2013-06-30	Confederations Cup F	Rio de Janeiro
7	4165	Netherlands	2056	Brazil	2109	2 : 1	2010-07-02	World Cup QF	Port Elizabeth
8	4162	West Germany	2074	Brazil	2088	0 : 1	1973-06-16	Friendly	Berlin
9	4156	Brazil	2062	Netherlands	2094	0 : 0	2011-06-04	Friendly	Goiânia
10	4149	Hungary	2169	Uruguay	1980	4 : 2	1954-06-30	World Cup SF	Lausanne
11	4148	Hungary	2141	Brazil	2007	4 : 2	1954-06-27	World Cup QF	Bern
12	4139	Spain	2091	Germany	2048	1 : 0	2010-07-07	World Cup SF	Durban
13	4138	Netherlands	2077	Argentina	2061	0 : 0	2014-07-09	World Cup SF	São Paulo
14	4130	Brazil	2056	West Germany	2074	1 : 0	1982-03-21	Friendly	Rio de Janeiro
15	4125	Germany	2047	Brazil	2078	1 : 2	1998-03-25	Friendly	Stuttgart
16	4124	Brazil	2025	West Germany	2099	1 : 1	1977-06-12	Friendly	Rio de Janeiro
17	4121	West Germany	2084	Netherlands	2037	2 : 1	1974-07-07	World Cup F	Munich
18	4116	West Germany	2096	Brazil	2020	0 : 1	1978-04-05	Friendly	Hamburg
19	4115	Argentina	2099	Chile	2016	0 : 0	2016-06-26	Copa América F	East Rutherford
20	4112	Brazil	2097	Italy	2015	4 : 1	1970-06-21	World Cup F	Mexico City

Biggest upsets

A list of the matches with the biggest point exchange. Since the importance of the match, the goal differential and the perceived home team advantage are factored in the point exchange, these are not necessarily the most surprising wins as expressed by the difference in Elo rating.^{[lower-alpha 22]}
The nations' points before the matches are given.

Rank	Point exchange	Nation 1	Elo 1	Nation 2	Elo 2	Score	Date	Occasion	Location
1	91	Sweden	1636	Belgium	1764	8 : 1	1924-05-29	Olympic Games	Paris
2	88	Italy	1761	Spain	1902	7 : 1	1928-06-04	Olympic Games	Amsterdam
3	84	Czechoslovakia	1816	Argentina	1963	6 : 1	1958-06-15	World Cup	Helsingborg
4	83	Norway	1530	Great Britain	1953	3 : 1	1920-08-28	Olympic Games	Antwerp
4	83	Egypt *	1590	Hungary	1823	3 : 0	1924-05-29	Olympic Games	Paris
6	82	Brazil	2102	Germany	2101	1 : 7	2014-07-08	World Cup	Belo Horizonte
7	81	Ghana	1601	Czech Republic	1982	2 : 0	2006-06-17	World Cup	Cologne
8	80	Fiji	1208	New Zealand	1521	4 : 0	1980-02-23	OFC Nations Cup	Nouméa
8	80	Trinidad and Tobago	1445	Mexico	1749	4 : 0	1973-12-14	CONCACAF Championship	Port-au-Prince
10	79	Turkey	1453	China *	1604	4 : 0	1948-08-02	Olympic Games	Walthamstow
11	78	Croatia	1877	Germany	2062	3 : 0	1998-07-04	World Cup	Lyon
		Khmer Republic	1228	Kuwait	1508	4 : 0	1972-05-14	Asian Cup	Bangkok
		Paraguay	1600	Uruguay	1974	3 : 0	1929-11-01	Copa América	Buenos Aires
14	77	Uruguay	1786	Brazil	2127	3 : 0	1959-12-12	Copa América	Guayaquil
15	76	Netherlands	1967	Spain	2091	5 : 1	2014-06-13	World Cup	Salvador
		United States	1866	Mexico	1769	0 : 5	2009-07-26	CONCACAF Gold Cup	East Rutherford
		Chile	1553	Uruguay	1885	3 : 0	1937-01-10	Copa América	Buenos Aires
18	75	Venezuela	1318	Bolivia	1625	3 : 0	1967-01-28	Copa América	Montevideo
18	75	Costa Rica	1684	Guatemala *	1469	1 : 4	1946-03-10	CCCF Championship	San José
20	74	Chile	1771	Brazil	2002	4 : 0	1987-07-03	Copa América	Córdoba
		Denmark	1720	Italy	1985	5 : 3	1948-08-05	Olympic Games	London
		Germany	1849	Norway	1682	0 : 2	1936-08-07	Olympic Games	Berlin

*The national teams of Egypt, China and Guatemala had only played 3, 18, and 24 international matches before their respective upsets (China only yet against East Asian teams), and their Elo rating may still be partially determined by the starting rating they have been assigned (the points exchanges could be lower when these are adjusted).

History

The Elo system, developed by Hungarian-American mathematician Dr. Árpád Élő, is used by FIDE, the international chess federation, to rate chess players, and by the European Go Federation, to rate Go players. In 1997 Bob Runyan adapted the Elo rating system to international football and posted the results on the Internet. He was also the first maintainer of the World Football Elo Ratings web site, now maintained by Kirill Bulygin.

Overview

The Elo system was adapted for football by adding a weighting for the kind of match, an adjustment for the home team advantage, and an adjustment for goal difference in the match result.

The factors taken into consideration when calculating a team's new rating are:

The team's old rating
The considered weight of the tournament
The goal difference of the match
The result of the match
The expected result of the match

The different weights of competitions in descending order are:

World Cup Finals
Continental championships finals and Intercontinental tournaments
World Cup and Continental championship qualifiers
All other tournaments
Friendly matches

These ratings take into account all international "A" matches for which results could be found. Ratings tend to converge on a team's true strength relative to its competitors after about 30 matches. Ratings for teams with fewer than 30 matches should be considered provisional.

Basic calculation principles

The basic principle behind the Elo ratings is only in its simplest form similar to that of a league, unlike the FIFA tables who effectively run their table as a normal league table, but with weightings to take into account the other factors, the Elo system has its one formula which takes into account the factors mentioned above. There is no first step as in the FIFA system where a team immediately receives points for the result, there is just one calculation in the Elo system.

The ratings change are based on the following formulae:

$R_{n}=R_{o}+KG(W-W_{e})$

$P=KG(W-W_{e})$

Where;


$R_{n}$	= The new team rating
$R_{o}$	= The old team rating
$K$	= Weight index regarding the tournament of the match
$G$	= A number from the index of goal differences
$W$	= The result of the match
$W_{e}$	= The expected result
$P$	= Points Change

The number of Points Change is rounded to the nearest integer before updating the team rating.

Status of match

The status of the match is incorporated by the use of a weight constant. The weight is a constant regarding the "weight" or importance of a match, defined by which tournament the match is in, they are as follows;

Tournament or Match type	Index (K)
World Cup	60
Continental Championship and Intercontinental Tournaments	50
World Cup and Continental qualifiers and major tournaments	40
All other tournaments	30
Friendly Matches	20

Number of goals

The number of goals is taken into account by use of a goal difference index.

If the game is a draw or is won by one goal

G=1

If the game is won by two goals

G={\frac {3}{2}}

If the game is won by three or more goals

Where N is the goal difference

G={\frac {11+N}{8}}

Table of examples:

Goal Difference	Coefficient of K (G)
0	1
+1	1
+2	1.5
+3	1.75
+4	1.875
+5	2
+6	2.125
+7	2.25
+8	2.375
+9	2.5
+10	2.625

Result of match

W is the result of the game (1 for a win, 0.5 for a draw, and 0 for a loss). This also holds when a game is won or lost on extra time. If the match is decided on penalties, however, the result of the game is considered a draw (W = 0.5).

Expected result of match

W_e is the expected result (win expectancy with a draw counting as 0.5) from the following formula:

W_{e}={\frac {1}{10^{-dr/400}+1}}

where dr equals the difference in ratings (add 100 points for the home team). So dr of 0 gives 0.5, of 120 gives 0.666 to the higher-ranked team and 0.334 to the lower, and of 800 gives 0.99 to the higher-ranked team and 0.01 to the lower.

Examples

The same examples have been used on the FIFA World Rankings for a fair comparison. Some actual examples should help to make the methods of calculation clear. In this instance it is assumed that three teams of different strengths are involved in a small friendly tournament on neutral territory.

Before the tournament the three teams have the following point totals.

Team	Points
A	630
B	500
C	480

Thus, team A is by some distance the highest ranked of the three: The following table shows the points allocations based on three possible outcomes of the match between the strongest team A, and the somewhat weaker team B:

Example 1

Team A versus Team B (Team A stronger than Team B)

	Team A	Team B	Team A	Team B	Team A	Team B
Score	3 : 1		1 : 3		2 : 2
$K$	20	20	20	20	20	20
$G$	1.5	1.5	1.5	1.5	1	1
$W$	1	0	0	1	0.5	0.5
$W_{e}$	0.679	0.321	0.679	0.321	0.679	0.321
Total (P)	+9.63	-9.63	-20.37	+20.37	-3.58	+3.58

Example 2

Team B versus Team C (both teams approximately the same strength)

When the difference in strength between the two teams is less, so also will be the difference in points allocation. The following table illustrates how the points would be divided following the same results as above, but with two roughly equally ranked teams, B and C, being involved:

	Team B	Team C	Team B	Team C	Team B	Team C
Score	3 : 1		1 : 3		2 : 2
$K$	20	20	20	20	20	20
$G$	1.5	1.5	1.5	1.5	1	1
$W$	1	0	0	1	0.5	0.5
$W_{e}$	0.529	0.471	0.529	0.471	0.529	0.471
Total (P)	+14.13	-14.13	-15.87	+15.87	-0.58	+0.58

Note that Team B loses more ranking points by losing to Team C than by losing to Team A.

Notes

↑ Representing West Germany from 1949 to 1990
↑ Combined record of the USSR (1970-1992), the CIS (1992), and Russia national football teams (1992-present)
↑ Combined record of the Czechoslovakian (1970-1992) and Czech national football teams (1993-present)
↑ Combined record of Yugoslavia (1970-1992), Serbia and Montenegro (1994-2006) and Serbia national football teams (2006-present)
↑ Combined record of the Germany (1908-1950 & 1990-present) and West Germany (1950-1990) national football teams.
↑ So far, only the Soviet Union national football team (1924-1992) has reached the #1 position, but any future efforts by the Russia national football team (1992-present) will be included.^[8]
↑ Combined record of the Czechoslovakian (1920–1993) and Czech (1994–present) national football teams.
↑ as Soviet Union
↑ as FR of Yugoslavia
↑ On 1 January 2006, Football Federation Australia moved from the OFC to the AFC
↑ as Soviet Union
↑ as Czechoslovakia
↑ as FR of Yugoslavia
1 2 The combined Ireland national football team was in 4th to 6th place from its first match in 1882 to 1902, in a period that only 4 to 6 teams were in the rankings
↑ as Zaire
↑ In the 1940s, most national teams did not play games until after the end of World War II, making comparison of countries for this decade weak. For example, Mexico did not play any matches between Feb 1938 and July 1947, so that the average over the decade mostly reflects the single Elo rating achieved in February 1938
↑ Includes the record of the Great Britain Olympic football team until and the 1920 Olympics
↑ up to 1 December 2016
↑ Combined record of Yugoslavia (1990-1992) and FR of Yugoslavia (1994-1999)
↑ Combined record of Czechoslovakia (1990-1992) and Czech national football teams (1993-1999)
↑ Combined record of the USSR (1990-1992), the CIS (1992), and Russia national football teams (1992-1999)
↑ In those terms, most surprising may have been the 2:1 win of Luxembourg (Elo rating 1049) over Switzerland (ER 1730) in a World Cup qualification match in September 2008 (a 681 point difference). In another World Cup qualifier in October 2004 Liechtenstein (ER 1046) held the 810 points higher rated Portuguese team (ER 1856) to a 2:2 draw.

References

↑ "The World Football Elo Rating System". Eloratings.net. Retrieved 26 February 2012.
↑ J. Lasek, Z. Szlávik and S. Bhulai (2013), The predictive power of ranking systems in association football, Int. J. Applied Pattern Recognition1: 27-46.
↑ World Football Elo Ratings Eloratings.net. Retrieved: 2016-12-04.
↑ "FIFA/Coca-Cola World Ranking" (Press release). FIFA. 24 November 2016. Retrieved 2016-11-24.
↑ Arpad E. Elo, The Rating of Chessplayers, Past and Present, Arco, 1978. ISBN 0-668-04721-6.
↑ Arpad Elo, Chess Life, 1962.
↑ About the Chessmetrics Rating System, by Jeff Sonas
↑ "History of the Football Union of Russia". Rfs.ru. Retrieved 2016-06-04.

External links

International association football

FIFA Federations Teams Competitions World Cup U-17 U-20 Confederations Cup Olympics Youth Olympics Universiade World Rankings Player of the Year Ballon d'Or Timeline of association football

Asia	AFC – Asian Cup U-23 U-19 U-16 U-14 Regional (ASEAN, EAFF, SAFF, WAFF)

Africa	CAF – Africa Cup of Nations U-23 U-20 U-17 Regional (CECAFA, CEMAC, COSAFA, WAFU)

North America, Central America and the Caribbean	CONCACAF – Gold Cup U-20 U-17 U-15

South America	CONMEBOL – Copa América U-20 U-17 U-15

Oceania	OFC – Nations Cup U-20 U-17

Europe	UEFA – European Championship U-21 U-19 U-17

Non-FIFA	NF-Board – Viva World Cup CONIFA - ConIFA World Football Cup ConIFA European Football Cup IGA - Island Games

Games	African Games Asian Games Central America Central America and Caribbean East Asian Games Francophonie Games Indian Ocean Island Lusophony Games Mediterranean Games Pan American Games Pan Arab Games Pacific Games South Asian Games Southeast Asian Games

See also Geography Debuts Codes Player of the Century Women's football

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