Department of Physics, Chemistry and Biology, Division of Theoretical Biology, Linköping University, Linköping, Sweden.
Zeeman Institute for Systems Biology and Infectious Disease Epidemiology Research, School of Life Sciences and Mathematics Institute, University of Warwick, Coventry, United Kingdom.
PLoS Comput Biol. 2020 Feb 20;16(2):e1007641. doi: 10.1371/journal.pcbi.1007641. eCollection 2020 Feb.
Spatially explicit livestock disease models require demographic data for individual farms or premises. In the U.S., demographic data are only available aggregated at county or coarser scales, so disease models must rely on assumptions about how individual premises are distributed within counties. Here, we addressed the importance of realistic assumptions for this purpose. We compared modeling of foot and mouth disease (FMD) outbreaks using simple randomization of locations to premises configurations predicted by the Farm Location and Agricultural Production Simulator (FLAPS), which infers location based on features such as topography, land-cover, climate, and roads. We focused on three premises-level Susceptible-Exposed-Infectious-Removed models available from the literature, all using the same kernel approach but with different parameterizations and functional forms. By computing the basic reproductive number of the infection (R0) for both FLAPS and randomized configurations, we investigated how spatial locations and clustering of premises affects outbreak predictions. Further, we performed stochastic simulations to evaluate if identified differences were consistent for later stages of an outbreak. Using Ripley's K to quantify clustering, we found that FLAPS configurations were substantially more clustered at the scales relevant for the implemented models, leading to a higher frequency of nearby premises compared to randomized configurations. As a result, R0 was typically higher in FLAPS configurations, and the simulation study corroborated the pattern for later stages of outbreaks. Further, both R0 and simulations exhibited substantial spatial heterogeneity in terms of differences between configurations. Thus, using realistic assumptions when de-aggregating locations based on available data can have a pronounced effect on epidemiological predictions, affecting if, where, and to what extent FMD may invade the population. We conclude that methods such as FLAPS should be preferred over randomization approaches.
空间显式牲畜疾病模型需要个体农场或场所的人口统计数据。在美国,人口统计数据仅以县或更粗糙的尺度汇总,因此疾病模型必须依赖于关于县内各个场所如何分布的假设。在这里,我们解决了为此目的做出现实假设的重要性。我们比较了使用简单随机化的位置对农场位置和农业生产模拟器 (FLAPS) 预测的场所配置建模的方法,该模拟器根据地形、土地覆盖、气候和道路等特征推断位置。我们专注于文献中提供的三个场所级易感-暴露-感染-清除模型,所有模型都使用相同的核方法,但参数化和功能形式不同。通过计算感染的基本繁殖数 (R0),我们研究了场所的空间位置和聚集如何影响暴发预测。此外,我们进行了随机模拟,以评估确定的差异是否在暴发的后期阶段保持一致。使用里普利的 K 来量化聚类,我们发现,在与实施模型相关的规模上,FLAPS 配置的聚类程度要高得多,导致与随机配置相比,附近场所的频率更高。因此,R0 通常在 FLAPS 配置中更高,模拟研究证实了暴发后期阶段的模式。此外,R0 和模拟都表现出空间异质性,配置之间存在差异。因此,根据可用数据对位置进行去聚合时,使用现实假设可以对流行病学预测产生显著影响,影响口蹄疫是否以及在何处以及在何种程度上入侵人群。我们得出结论,应优先使用 FLAPS 等方法,而不是随机化方法。