Pelletier C A, Voilleqúe P G
Health Phys. 1971 Dec;21(6):777-92. doi: 10.1097/00004032-197112000-00006.
The behavior of the fallout radionuclides 137Cs, 54Mn, 14Ce-Pr and 90Sr in the milk-food chain was studied at a commercial dairy farm near Tecumseh, Michigan during 1964 and 1965. The main purpose of the study was to develop mathematical models to describe the movement of radionuclides from air to milk. Three models are presented: the first predicts the total deposition on precipitation collectors given the air concentration and rainfall rate; the second predicts the concentration in forage from air concentration, rainfall rate, and the rates at which the forage grows and is consumed by the dairy herd; the third predicts the milk concentration from the concentration in each type of feed and the rate at which each feed type is consumed by the dairy herd. The first two models are applicable to all four radionuclides but the milk model is valid only for 137Cs. Milk concentrations for the other three radionuclides are treated individually. The model for deposition on precipitation collectors was developed independently and is shown to predict weekly deposition rates to within a factor of three (95% of the time). This uncertainty is reduced as the time span for the prediction is increased. Development of the other two models was based in part on data from the Tecumseh study; both still require independent verification. The forage model fits the weekly experimental data to within a factor of 2.2. The milk model fits the weekly measurements of 137Cs concentrations to within a factor of 1.5. The error of the latter 2 models also decreases as the time span for the prediction is increased.
1964年至1965年期间,在密歇根州特库姆塞附近的一个商业奶牛场研究了沉降放射性核素137Cs、54Mn、14Ce-Pr和90Sr在牛奶 - 食物链中的行为。该研究的主要目的是建立数学模型来描述放射性核素从空气到牛奶的移动。本文提出了三个模型:第一个模型根据空气浓度和降雨率预测降水收集器上的总沉积量;第二个模型根据空气浓度、降雨率以及饲料生长和奶牛群消耗的速率预测饲料中的浓度;第三个模型根据每种饲料类型中的浓度以及奶牛群消耗每种饲料类型的速率预测牛奶中的浓度。前两个模型适用于所有四种放射性核素,但牛奶模型仅对137Cs有效。其他三种放射性核素的牛奶浓度单独处理。降水收集器沉积模型是独立开发的,结果表明其预测的每周沉积率误差在三倍以内(95%的时间)。随着预测时间跨度的增加,这种不确定性会降低。另外两个模型的开发部分基于特库姆塞研究的数据;两者仍需独立验证。饲料模型对每周实验数据的拟合误差在2.2倍以内。牛奶模型对137Cs浓度的每周测量拟合误差在1.5倍以内。后两个模型的误差也随着预测时间跨度的增加而减小。