From the Department of Epidemiology, Emory University, Atlanta, GA.
Statistics, Department of Sociology, University of Washington, Seattle, WA.
Epidemiology. 2021 Sep 1;32(5):681-689. doi: 10.1097/EDE.0000000000001390.
The speed with which a pathogen circulates in a sexual network is a function of network connectivity. Cross-sectional connectivity is a function of network features like momentary degree and assortative mixing. Temporal connectivity is driven by partner acquisition rates. The forward-reachable path (FRP) has been proposed as a summary measure of these two aspects of transmission potential. We use empirical data from San Francisco and Atlanta to estimate the generative parameters of the FRP and compare results to the HIV/sexually transmitted infection epidemics in each city.
We used temporal exponential random graph models to estimate the generative parameters for each city's dynamic sexual network from survey data. We then simulated stochastic dynamic networks from the fitted models and calculated the FRP for each realization, overall, and stratified by partnership type and demographics.
The overall mean and median paths were higher in San Francisco than in Atlanta. The overall paths for each city were greater than the sum of the paths in each individual partnership network. In the casual partnership network, the mean path was highest in the youngest age group and lowest in the oldest age group, despite the fact that the youngest group had the lowest mean momentary degree and past-year partner counts.
The FRP by age group revealed the additional utility of the measure beyond the temporal and cross-sectional network connectivity measures. Other nonnetwork factors are still necessary to infer total epidemic potential for any specific pathogen.
病原体在性网络中传播的速度是网络连通性的函数。横截面连通性是网络特征的函数,如瞬时度和聚类混合。时间连通性由伙伴获取率驱动。前向可达路径 (FRP) 已被提议作为传输潜力的这两个方面的综合度量。我们使用来自旧金山和亚特兰大的经验数据来估计 FRP 的生成参数,并将结果与每个城市的 HIV/性传播感染疫情进行比较。
我们使用时间指数随机图模型,根据调查数据从每个城市的动态性网络中估计生成参数。然后,我们从拟合模型中模拟随机动态网络,并计算每个实现、总体以及按伙伴关系类型和人口统计学分层的 FRP。
旧金山的平均和中位数 FRP 均高于亚特兰大。每个城市的总体路径大于每个个体伙伴网络的路径总和。在偶然的伙伴关系网络中,尽管最年轻的年龄组具有最低的平均瞬时度和过去一年的伴侣数量,但平均路径最高。
按年龄组划分的 FRP 揭示了该度量除了时间和横截面网络连通性度量之外的额外效用。其他非网络因素对于推断任何特定病原体的总流行潜力仍然是必要的。