 The REDDENED reconstructions with AR persistence added back in:
 year        1
 1857    0.307
 1858    0.487
 1859   -0.030
 1860   -0.209
 1861   -1.451
 1862   -0.215
 1863    0.968
 1864   -1.149
 1865    0.633
 1866    0.215
 1867   -0.837
 1868   -0.800
 1869    1.164
 1870    0.264
 1871   -0.402
 1872    0.406
 1873    0.254
 1874    0.628
 1875    0.331
 1876   -1.577
 1877    0.695
 1878    0.826
 1879   -2.112
 1880   -0.267
 1881    0.739
 1882    0.599
 1883   -0.188
 1884   -0.383
 1885    1.700
 1886    0.583
 1887   -1.626
 1888   -0.977
 1889    0.413
 1890   -1.288
 1891   -1.766
 1892    1.560
 1893   -0.726
 1894    0.348
 1895    0.851
 1896    0.415
 1897    0.820
 1898   -0.548
 1899   -0.194
 1900   -0.145
 1901   -0.280
 1902   -0.156
 1903    0.433
 1904   -1.561
 1905    1.168
 1906    1.753
 1907   -1.524
 1908   -1.765
 1909   -0.198
 1910   -0.126
 1911   -0.735
 1912    1.204
 1913   -0.441
 1914    1.047
 1915    0.534
 1916   -2.303
 1917   -2.151
 1918    1.852
 1919    2.090
 1920    1.591
 1921   -0.374
 1922    0.404
 1923    0.450
 1924   -0.578
 1925    0.516
 1926    0.347
 1927   -1.074
 1928    0.523
 1929   -1.485
 1930   -0.493
 1931    0.868
 1932    0.768
 1933   -0.600
 1934    0.206
 1935   -0.344
 1936   -1.428
 1937    0.901
 1938    0.019
 1939   -0.252
 1940    0.061
 1941    2.182
 1942   -0.385
 1943   -0.026
 1944   -0.320
 1945    0.642
 1946   -0.371
 1947   -1.749
 1948    0.283
 1949   -0.861
 1950    0.518
 1951   -0.982
 1952    1.115
 1953    0.560
 1954   -0.908
 1955    0.294
 1956    0.043
 1957   -0.452
 1958    1.391
 1959    0.036
 1960    0.444
 1961   -0.941
 1962    1.044
 1963   -0.105
 1964    2.208
 1965    0.140
 1966   -0.621
 1967   -0.204
 1968    0.342
 1969   -0.894
 1970   -0.956
 1971   -1.665
 1972   -0.073
 1973   -0.154
 1974   -1.800
 1975   -0.469
 1976   -0.065
 1977    1.174
 1978    0.629
 1979   -0.506
 1980   -0.709
 1981   -0.042
 1982    0.368
 1983    1.092
 1984   -0.355
 1985   -0.505
 1986    0.344
 1987    1.237
 1988   -0.172
 1989   -0.814
 1990    0.291
 1991    0.900
 1992    1.323
 1993    1.241
 1994    0.311
 1995    0.086
 1996   -1.453
 1997    0.145
 1998    0.510
 1999   -0.936
 2000    0.963
 2001    1.372
 2002    0.248
 2003    0.880
