Mielke J H, Jorde L B, Trapp P G, Anderton D L, Pitkänen K, Eriksson A W
Demography. 1984 Aug;21(3):271-95.
We analyze a 140-year series of smallpox deaths in the Aland Islands, Finland. Vaccination, introduced in 1805, dramatically reduced the annual number of smallpox deaths. It also influenced the age distribution of smallpox deaths, changing smallpox from a childhood disease before 1805 to one which affected both adults and children after 1805. This appears to be due to the fact that Alanders were usually vaccinated only once during childhood and often lost their immunity during adulthood. Spectral analysis of the prevaccination time series of smallpox deaths demonstrates a strong seven-year periodicity, reflecting the amount of time necessary to build up a cohort of nonimmune individuals. After the introduction of vaccination, the periodicity changes to eight years. The probability that a parish in Aland was affected by a smallpox epidemic is shown to be highly correlated with migration patterns and parish population sizes.
我们分析了芬兰奥兰群岛140年的天花死亡系列数据。1805年引入的疫苗接种显著减少了每年天花死亡人数。它还影响了天花死亡的年龄分布,使天花从1805年前的儿童疾病转变为1805年后影响成人和儿童的疾病。这似乎是因为奥兰人通常在童年时期只接种一次疫苗,并且在成年后经常失去免疫力。对疫苗接种前天花死亡时间序列的频谱分析显示出强烈的七年周期性,反映了建立一群无免疫力个体所需的时间。引入疫苗接种后,周期性变为八年。结果表明,奥兰一个教区受天花流行影响的概率与移民模式和教区人口规模高度相关。