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A spatial model to predict the incidence of neural tube defects

机译:预测神经管缺陷发生率的空间模型

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Background Environmental exposure may play an important role in the incidences of neural tube defects (NTD) of birth defects. Their influence on NTD may likely be non-linear; few studies have considered spatial autocorrelation of residuals in the estimation of NTD risk. We aimed to develop a spatial model based on generalized additive model (GAM) plus cokriging to examine and model the expected incidences of NTD and make the inference of the incidence risk. Methods We developed a spatial model to predict the expected incidences of NTD at village level in Heshun County, Shanxi Province, China, a region with high NTD cases. GAM was used to establish linear and non-linear relationships between local covariates and the expected NTD incidences. We examined the following village-level covariates in the model: projected coordinates, soil types, lithodological classes, distance to watershed, rivers, faults and major roads, annual average fertilizer uses, fruit and vegetable production, gross domestic product, and the number of doctors. The residuals from GAM were assumed to be spatially auto-correlative and cokriged with regional residuals to improve the prediction. Our approach was compared with three other models, universal kriging, generalized linear regression and GAM. Cross validation was conducted for validation. Results Our model predicted the expected incidences of NTD well, with a good CV R2 of 0.80. Important predictive factors included the fertilizer uses, locations of the centroid of each village, the shortest distance to rivers and faults and lithological classes with significant spatial autocorrelation of residuals. Our model out-performed the other three methods by 16% or more in term of R2. Conclusions The variance explained by our model was approximately 80%. This modeling approach is useful for NTD epidemiological studies and intervention planning.
机译:背景技术环境暴露可能在出生缺陷神经管缺陷(NTD)的发生中起重要作用。它们对NTD的影响可能是非线性的。很少有研究在NTD风险评估中考虑残差的空间自相关。我们旨在开发基于广义加性模型(GAM)和协同克里格法的空间模型,以检查和建模NTD的预期发病率并推断发病率风险。方法我们开发了一个空间模型,以预测在中国山西省和顺县NTD高发地区的村级NTD的预期发病率。 GAM用于建立局部协变量与预期NTD发生率之间的线性和非线性关系。我们在模型中检查了以下村级协变量:预计坐标,土壤类型,岩性分类,到分水岭的距离,河流,断层和主要道路,年平均肥料用量,水果和蔬菜产量,国内生产总值以及医生。假设GAM的残差在空间上是自相关的,并与区域残差进行协克里金法以改善预测。我们的方法与其他三个模型(通用克里金法,广义线性回归和GAM)进行了比较。进行交叉验证以进行验证。结果我们的模型很好地预测了NTD的预期发病率,CV R 2 为0.80。重要的预测因素包括肥料的使用,每个村庄的质心位置,到河流和断层的最短距离以及具有显着的残差空间自相关的岩性类别。在R 2 方面,我们的模型比其他三种方法的效果高出16%。结论我们的模型解释的方差约为80%。这种建模方法对于NTD流行病学研究和干预计划很有用。

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