40 2012-04-11 8.6 2012 Aceh earthquake 39 2011-03-11 9.1 2011 Tōhoku earthquake 2010-02-27 8.8 2010 Chile earthquakeMaule Earthquake JD=2456028.9 38 JD=2455631.7 37 2007-09-12 8.4 2007 Sumatra earthquakes JD=2455254.8 36 2005-03-28 8.6 2005 Nias–Simeulue earthquake JD=2454356 2004-12-26 9.1 2004 Indian Ocean earthquake JD=2453458.2 35 JD=2453365.5 34 2001-06-23 8.4 2001 southern Peru earthquake JD=2452084.4 33 1965-02-04 8.7 1965 Rat Islands earthquake 32 1964-03-28 9.2 1964 Great Alaska Earthquake 1963-10-13 8.5 1963 Kuril Islands earthquake JD=2438795.7 31 JD=2438482.7 30 1960-05-22 9.5 1960 earthquake JD=2438315.7

1957-03-09 8.6 1957 Andreanof Islands earthquake 21707.7d [59a] 29 21745.7d [60a] JD=2437077.3

1952-11-04 9 1952 Kamchatka earthquakes 21546.2d [59a] JD=2435907.1 28 28894.6d [79a] JD=2434321.2 27 1950-08-15 8.6 1950 Assam–Tibet earthquake JD=2433509.1 30901.8d [85a] 26 1946-04-01 8.6 1946 Aleutian Islands earthquake JD=2431912 25 1938-02-01 8.5 1938 Banda Sea earthquake JD=2428931.3 24 1933-03-02 8.4 1933 Sanriku earthquake JD=2427134.2

23 1923-02-03 8.4 1923 Kamchatka earthquake JD=2423454.2 21553.6d [59a] JD=2423369.7 22 1922-11-11 8.5 1922 Vallenar earthquak 17079.1d [47a] 22181.6d [61a] 1906-01-31 8.8 1906 Ecuador–Colombia Earthquake JD=2417242.2

21 62036d [170a] 30328.8d [83a] 1896-06-15 8.5 (est.) 1896 Sanriku earthquake 61206.9d [168a] JD=2413725.5

20 30763.7d [84a] 22182.8d [61a] 31089.5d [85a]

1877-05-09 8.5 (est.) 1877 Iquique earthquake 19 JD=2406748.5 13684.7d [37a]

1868-08-13 8.5–9.0 (est.) 1868 Arica earthquake 91320.4d [250a] 18 JD=2403557.5

1861-02-16 8.5 1861 Sumatra earthquake 91093.7d [249a] 17 JD=2400822.5 91341.9d [250a] 62072.6d [170a] 22396d [61a] 30388.7d [83a]

1835-02-20 8.5 (est.) 1835 Concepción earthquake 16 JD=2391329.5 16704d [46a]

62425.7d [171a] JD=2390877.5 15 1833-11-25 8.8 (est.) 1833 Sumatra earthquake 1822-11-19 8.5 (est.) 1822 Valparaíso earthquake JD=2386853.5 14 61005.2d [167a] 62627.2d [171a] 91078.6d [249a] 29723d [81a] 29723d [81a] 91511.6d [251a] 61466.7d [168a] 60608d [166a] 91414.8d [250a]

13 1787-03-28 8.6 (est.) 1787 Mexico earthquake JD=2373834.5 30587d [84a] 22145d [61a] 61920d [170a] 61560d [169a] 31078d [85a] 12 1762-04-02 8.8 (est.) 1762 Arakan earthquake JD=2364708.5 63306d [173a] 11 1755-11-01 8.5–9.0 1755 Lisbon earthquake 90979d [249a] JD=2362364.5 10 1751-05-24 8.5 (est.) 1751 Concepción earthquake JD=2360742.5 1746-10-28 8.6 (est.) 1746 Lima–Callao earthquake JD=2359073.5

9 20717d [57a] 8 1737-10-17 8.5 (est.) 1737 Kamchatka earthquakes JD=2355775.5 7 1730-07-08 8.7 (est.) 1730 Valparaiso earthquake 29006d [79a] JD=2353117.5

1707-10-28 8.7–9.3 (est.) 1707 Hōei earthquake JD=2344828.5

6 13778d [38a] 21557d [59a] 5 1700-01-26 8.7–9.2 (est.) 1700 Cascadia earthquake JD=2341997.5 15601d [43a] 4 1687-10-20 8.5 (est.) 1687 Peru earthquake JD=2337516.5 90188d [247a] 30371d [83a] 22082d [60a] 14770d [40a] 1647-05-13 8.5 (est.) 1647 earthquake JD=2322746.5 3 62408d [171a] 30280d [83a] 15510d [42a] 2 1604-11-24 8.5 (est.) 1604 Arica earthquake JD=2307236.5

1 1575-12-16 8.5 (est.) 1575 Valdivia earthquake JD=2296665.5

Fig.1.1 59, 83, 84, 167, 170, 250 year cycles in 40 major earthquakes (M>8.4) Legend: 15601d [43a] Number of days in which two earthquakes occurred [years] 40 2012-04-11 8.6 2012 Aceh earthquake 39 2011-03-11 9.1 2011 Tōhoku earthquake 2010-02-27 8.8 2010 Chile earthquakeMaule Earthquake JD=2456028.9 38 JD=2455631.7 37 2007-09-12 8.4 2007 Sumatra earthquakes JD=2455254.8 36 2005-03-28 8.6 2005 Nias–Simeulue earthquake JD=2454356 2004-12-26 9.1 2004 Indian Ocean earthquake JD=2453458.2 35 JD=2453365.5 34 2001-06-23 8.4 2001 southern Peru earthquake JD=2452084.4 33 1965-02-04 8.7 1965 Rat Islands earthquake 32 1964-03-28 9.2 1964 Great Alaska Earthquake 1963-10-13 8.5 1963 Kuril Islands earthquake JD=2438795.7 31 JD=2438482.7 30 1960-05-22 9.5 JD=2438315.7 17278.7d [47a] 29 1957-03-09 8.6 1957 Andreanof Islands earthquake JD=2437077.3 1952-11-04 9 1952 Kamchatka earthquakes JD=2435907.1 28 JD=2434321.2 27 1950-08-15 8.6 1950 Assam–Tibet earthquake JD=2433509.1 26 1946-04-01 8.6 1946 Aleutian Islands earthquake 30986.3d [85a] JD=2431912 25 1938-02-01 8.5 1938 Banda Sea earthquake JD=2428931.3 24 1933-03-02 8.4 1933 Sanriku earthquake JD=2427134.2 13623.1d [37a] 23 1923-02-03 8.4 1923 Kamchatka earthquake 13707.6d [38a] JD=2423454.2 JD=2423369.7 22 1922-11-11 8.5 1922 Vallenar earthquak 17079.1d [47a]

1906-01-31 8.8 1906 Ecuador–Colombia Earthquake 14669.9d [40a] 21 JD=2417242.2 30328.8d [83a] 1896-06-15 8.5 (est.) 1896 Sanriku earthquake 20 JD=2413725.5 30763.7d [84a] 31089.5d [85a] 16621.2d [46a] 1877-05-09 8.5 (est.) 1877 Iquique earthquake 19 JD=2406748.5 13684.7d [37a] 1868-08-13 8.5–9.0 (est.) 1868 Arica earthquake 13684.7d [37a] JD=2403557.5

18 16419.7d [45a] 1861-02-16 8.5 1861 Sumatra earthquake 17 JD=2400822.5 30388.7d [83a]

1835-02-20 8.5 (est.) 1835 Concepción earthquake 12228d [33a] 16 JD=2391329.5

16704d [46a] JD=2390877.5 15 1833-11-25 8.8 (est.) 1833 Sumatra earthquake 14 1822-11-19 8.5 (est.) 1822 Valparaíso earthquake JD=2386853.5 29723d [81a] 17495d [48a] 17495d [48a] 13019d [36a] 13 1787-03-28 8.6 (est.) 1787 Mexico earthquake JD=2373834.5 30587d [84a] 31078d [85a] 12 1762-04-02 8.8 (est.) 1762 Arakan earthquake JD=2364708.5 1755-11-01 8.5–9.0 1755 Lisbon earthquake JD=2362364.5

11 13092d [36a] 10 1751-05-24 8.5 (est.) 1751 Concepción earthquake JD=2360742.5 9 1746-10-28 8.6 (est.) 1746 Lima–Callao earthquake 18059d [49a] JD=2359073.5 8 1737-10-17 8.5 (est.) 1737 Kamchatka earthquakes JD=2355775.5 7 1730-07-08 8.7 (est.) 1730 Valparaiso earthquake JD=2353117.5

6 1707-10-28 8.7–9.3 (est.) 1707 Hōei earthquake JD=2344828.5 5 1700-01-26 8.7–9.2 (est.) 1700 Cascadia earthquake JD=2341997.5 15601d [43a] 4 1687-10-20 8.5 (est.) 1687 Peru earthquake JD=2337516.5 30371d [83a] 14770d [40a] 14770d [40a] 3 1647-05-13 8.5 (est.) 1647 Santiago earthquake JD=2322746.5 30280d [83a] 15510d [42a] 2 1604-11-24 8.5 (est.) 1604 Arica earthquake JD=2307236.5

1 1575-12-16 8.5 (est.) 1575 Valdivia earthquake JD=2296665.5

Fig.1.2 83, 84, 85-year cycle in 40 major earthquakes (M>8.4) Legend: 15601d [43a] Number of days in which two earthquakes occurred [years] 40 2012-04-11 8.6 2012 Aceh earthquake 39 2011-03-11 9.1 2011 Tōhoku earthquake 2010-02-27 8.8 2010 Chile earthquakeMaule Earthquake JD=2456028.9 38 JD=2455631.7 37 2007-09-12 8.4 2007 Sumatra earthquakes JD=2455254.8 36 2005-03-28 8.6 2005 Nias–Simeulue earthquake JD=2454356 2004-12-26 9.1 2004 Indian Ocean earthquake JD=2453458.2 35 JD=2453365.5 34 2001-06-23 8.4 2001 southern Peru earthquake JD=2452084.4 33 1965-02-04 8.7 1965 Rat Islands earthquake 32 1964-03-28 9.2 1964 Great Alaska Earthquake 1963-10-13 8.5 1963 Kuril Islands earthquake JD=2438795.7 31 JD=2438482.7 30 1960-05-22 9.5 1960 Valdivia earthquake JD=2438315.7 29 1957-03-09 8.6 1957 Andreanof Islands earthquake JD=2437077.3 JD=2435907.1 1952-11-04 9 1952 Kamchatka earthquakes 21546.2d [59a] 28 20172.3d [55a] JD=2434321.2 27 1950-08-15 8.6 1950 Assam–Tibet earthquake JD=2433509.1 26 1946-04-01 8.6 1946 Aleutian Islands earthquake JD=2431912 25 1938-02-01 8.5 1938 Banda Sea earthquake JD=2428931.3 24 1933-03-02 8.4 1933 Sanriku earthquake JD=2427134.2

23 1923-02-03 8.4 1923 Kamchatka earthquake JD=2423454.2 JD=2423369.7 22 1922-11-11 8.5 1922 Vallenar earthquak

1906-01-31 8.8 1906 Ecuador–Colombia Earthquake 22181.6d [61a] 21 JD=2417242.2 1896-06-15 8.5 (est.) 1896 Sanriku earthquake 62036d [170a] JD=2413725.5 20 61206.9d [168a]

1877-05-09 8.5 (est.) 1877 Iquique earthquake JD=2406748.5

19 22547.2d [62a] 40582.5d [111a] 1868-08-13 8.5–9.0 (est.) 1868 Arica earthquake 41034.5d [112a] 18 JD=2403557.5 1861-02-16 8.5 1861 Sumatra earthquake JD=2400822.5

17 40280.7d [110a] 62072.6d [170a] 30388.7d [83a]

1835-02-20 8.5 (est.) 1835 Concepción earthquake 16 JD=2391329.5 JD=2390877.5 15 1833-11-25 8.8 (est.) 1833 Sumatra earthquake 39891d [109a] 39891d [109a] 62425.7d [171a] 14 1822-11-19 8.5 (est.) 1822 Valparaíso earthquake JD=2386853.5 62627.2d [171a] 61466.7d [168a] 41193d [113a] 60608d [166a] 40080d [110a] 13 1787-03-28 8.6 (est.) 1787 Mexico earthquake 41749d [114a] JD=2373834.5 22145d [61a] 31078d [85a] 61560d [169a] 12 1762-04-02 8.8 (est.) 1762 Arakan earthquake JD=2364708.5 1755-11-01 8.5–9.0 1755 Lisbon earthquake JD=2362364.5 11 63306d [173a] 10 1751-05-24 8.5 (est.) 1751 Concepción earthquake JD=2360742.5 1746-10-28 8.6 (est.) 1746 Lima–Callao earthquake JD=2359073.5

9 20717d [57a] 8 1737-10-17 8.5 (est.) 1737 Kamchatka earthquakes JD=2355775.5 7 1730-07-08 8.7 (est.) 1730 Valparaiso earthquake JD=2353117.5 20367d [56a] 6 1707-10-28 8.7–9.3 (est.) 1707 Hōei earthquake JD=2344828.5 5 1700-01-26 8.7–9.2 (est.) 1700 Cascadia earthquake 21557d [59a] 21557d [59a] JD=2341997.5 4 1687-10-20 8.5 (est.) 1687 Peru earthquake JD=2337516.5

3 1647-05-13 8.5 (est.) 1647 Santiago earthquake JD=2322746.5 62408d [171a] 40851d [112a]

2 1604-11-24 8.5 (est.) 1604 Arica earthquake JD=2307236.5

1 1575-12-16 8.5 (est.) 1575 Valdivia earthquake JD=2296665.5

Fig.1.3 Relationship between the 167, 171-year cycle and the 59-year cycle in 40 major earthquakes (M>8.4) Legend: 15601d [43a] Number of days in which two earthquakes occurred [years] 40 2012-04-11 8.6 2012 Aceh earthquake 39 2011-03-11 9.1 2011 Tōhoku earthquake 2010-02-27 8.8 2010 Chile earthquakeMaule Earthquake JD=2456028.9 38 JD=2455631.7 37 2007-09-12 8.4 2007 Sumatra earthquakes JD=2455254.8 36 2005-03-28 8.6 2005 Nias–Simeulue earthquake JD=2454356 2004-12-26 9.1 2004 Indian Ocean earthquake JD=2453458.2 35 JD=2453365.5 34 2001-06-23 8.4 2001 southern Peru earthquake JD=2452084.4 33 1965-02-04 8.7 1965 Rat Islands earthquake 32 1964-03-28 9.2 1964 Great Alaska Earthquake 1963-10-13 8.5 1963 Kuril Islands earthquake JD=2438795.7 31 JD=2438482.7 30 1960-05-22 9.5 1960 Valdivia earthquake JD=2438315.7 29 1957-03-09 8.6 1957 Andreanof Islands earthquake JD=2437077.3 JD=2435907.1 28 1952-11-04 9 1952 Kamchatka earthquakes 28894.6d [79a] JD=2434321.2 27 1950-08-15 8.6 1950 Assam–Tibet earthquake JD=2433509.1

26 1946-04-01 8.6 1946 Aleutian Islands earthquake 29995.9d [82a] JD=2431912 25 1938-02-01 8.5 1938 Banda Sea earthquake JD=2428931.3 24 1933-03-02 8.4 1933 Sanriku earthquake JD=2427134.2

23 1923-02-03 8.4 1923 Kamchatka earthquake JD=2423454.2 JD=2423369.7 22 1922-11-11 8.5 1922 Vallenar earthquak 1906-01-31 8.8 1906 Ecuador–Colombia Earthquake 21 JD=2417242.2

1896-06-15 8.5 (est.) 1896 Sanriku earthquake 61206.9d [168a] 20 JD=2413725.5 29951.6d [82a] 28108.8d [77a] 1877-05-09 8.5 (est.) 1877 Iquique earthquake 19 JD=2406748.5 1868-08-13 8.5–9.0 (est.) 1868 Arica earthquake 18 JD=2403557.5 1861-02-16 8.5 1861 Sumatra earthquake 91320.4d [250a] 17 91001d [249a] JD=2400822.5 91341.9d [250a] 62072.6d [170a]

1835-02-20 8.5 (est.) 1835 Concepción earthquake 16 JD=2391329.5 JD=2390877.5 15 1833-11-25 8.8 (est.) 1833 Sumatra earthquake 62425.7d [171a] 1822-11-19 8.5 (est.) 1822 Valparaíso earthquake JD=2386853.5

14 61005.2d [167a] 91078.6d [249a] 91511.6d [251a] 60608d [166a] 91414.8d [250a] 13 1787-03-28 8.6 (est.) 1787 Mexico earthquake JD=2373834.5 30135d [83a] 27780d [76a] 61560d [169a] 12 1762-04-02 8.8 (est.) 1762 Arakan earthquake JD=2364708.5 63306d [173a] 11 1755-11-01 8.5–9.0 1755 Lisbon earthquake JD=2362364.5 10 1751-05-24 8.5 (est.) 1751 Concepción earthquake 90979d [249a] JD=2360742.5 9 1746-10-28 8.6 (est.) 1746 Lima–Callao earthquake JD=2359073.5 8 1737-10-17 8.5 (est.) 1737 Kamchatka earthquakes JD=2355775.5 7 1730-07-08 8.7 (est.) 1730 Valparaiso earthquake 29006d [79a] JD=2353117.5

6 1707-10-28 8.7–9.3 (est.) 1707 Hōei earthquake JD=2344828.5 5 1700-01-26 8.7–9.2 (est.) 1700 Cascadia earthquake JD=2341997.5 4 1687-10-20 8.5 (est.) 1687 Peru earthquake JD=2337516.5 90188d [247a] 30371d [83a]

1647-05-13 8.5 (est.) 1647 Santiago earthquake JD=2322746.5

3 62408d [171a]

2 1604-11-24 8.5 (est.) 1604 Arica earthquake JD=2307236.5

1 1575-12-16 8.5 (est.) 1575 Valdivia earthquake JD=2296665.5

Fig.1.4 Relationship between the 249-year cycle and the 83,167,170-year cycle in 40 major earthquakes (M>8.4) Legend: 15601d [43a] Number of days in which two earthquakes occurred [years]