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A heath benefit frequently overlooked when the quality of water is improved is sometimes known as “Haze's theorem.” In 1904 Allen Hazen presented a quantitative expression for the death rates from other diseases as related to those for typhoid fever. As it was expressed at the time, when one death from typhoid fever is avoided by the use of better water, two or three deaths from other causes are also avoided. This proposition also was noted by other and is sometimes referred to as the “Mills-Reincke Phenomenon,” named for Hirm F.Mills, a civil engineer of Lawrence , Massachusetts , and Dr.J.J.Reincke of Hamburg, Germany. These gentlemen reported somewhat similar information at virtually the same time. Two factors that may be presumed to have contributed to this phenomenon are, : first, when the human system is freed from having to resist typhoid infection, it has greater resistance to other diseases; and second, better treatment results in water relatively free from organisms causing diseases other than typhoid. At Hamburg,Germany , for example, for each decrease in death from typhoid fever after installation of filtration, there were 15.8 fewer deaths from other causes. At Lawrence , Massachusetts , this ratio was 1:4:4. At Lowell , Massachusetts , it was 1:6.0. At Albany , New York , it was
1:5.5. Statistics showing the decrease in the death rate from typhoid fever accompanying the advent of water purification practice usually fail to emphasize this additional benefit.
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