Individual and Environmental Factors Influencing Influenza Transmission: A Multilevel Analysis
Nushrat Nazia, Eleanor Pullenayegum, Mark Loeb

TL;DR
The study found that both individual traits and environmental factors influence influenza transmission in Hutterite communities, with community-level factors like temperature and geography playing a significant role.
Contribution
The study introduces a multilevel Bayesian analysis to assess how individual and environmental factors jointly influence influenza transmission in a closed population.
Findings
Older age was protective against Influenza B, and males had slightly lower odds of infection compared to females.
Higher temperatures were linked to lower odds of Influenza A but higher odds of Influenza B.
Geographic factors like elevation and distance to cities showed possible protective effects, though results were imprecise.
Abstract
Influenza transmission is influenced by both individual characteristics and community‐level drivers. Understanding how these drivers jointly influence transmission is important to predicting outbreaks and guiding influenza prevention strategies. Our study aimed to assess individual and colony‐level influences, including vaccination and environmental factors, on influenza transmission in the Hutterite communities. We analyzed data from 3271 individuals in 46 Canadian Hutterite colonies during the 2008 influenza season. Weekly PCR‐confirmed Influenza A and B outcomes were examined in relation to demographic, vaccination, geographic, and weather variables using multilevel Bayesian hierarchical models in Integrated Nested Laplace Approximations (INLA), which accounted for colony clustering and temporal autocorrelation. Of the 3271 participants, 239 (7.3%) had PCR‐confirmed influenza (128…
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FIGURE 1
FIGURE 2
FIGURE 3| Variable | Value |
|---|---|
| Individual characteristics ( | |
| Age, mean (SD), | 26.0 (20) |
| Age groups, | |
| —0–2 years | 184 (5.6%) |
| —3–15 years | 1183 (36.2%) |
| —16–64 years | 1744 (53.3%) |
| —≥ 65 years | 160 (4.9%) |
| Female sex, | 1423 (43.5%) |
| Vaccinated against influenza, | 796 (24.3%) |
| Study group characteristics | |
| Colonies randomized to the influenza vaccine | 22 colonies,1498 participants |
| Colonies randomized to Hepatitis A vaccine (control) | 24 colonies, 1773 participants |
| Influenza outcomes | |
| RT‐PCR‐confirmed Influenza (any A or B) | 239 (46.5%) |
| —Influenza A only, | 128 (53.5%) |
| —Influenza B only, | 111 (3.4%) |
| Participants with > 1 flu episode, | 0 (0.0%) |
| Total observation weeks (Season 1) | 22 |
| Cluster/colony characteristics | |
| Number of colonies | 46 |
| Mean participants per colony (SD) | 71.1 (25.3) |
| Mean vaccinated per colony (SD) | 17.3 (14.4) |
| Environmental characteristics | |
| Elevation, mean (m) | 801.2 |
| Distance to nearest city, mean (km) | 15.6. |
| Mean temperature (°C), mean (SD) | 0.9 (10.0) |
| Total precipitation (mm), mean (SD) | 0.8 (1.7) |
| Variables | All Influenza (RR, 95% CrI) | Influenza A (RR, 95% CrI) | Influenza B (RR, 95% CrI) |
|---|---|---|---|
| Sex (female vs. male) | 0.79 (0.60–1.02) | 0.77 (0.54–1.11) | 0.75 (0.50–1.10) |
| Age (per year) | 0.97 (0.96–0.98) | 0.99 (0.98–1.00) | 0.93 (0.91–0.95) |
| High‐risk status | 0.95 (0.67–1.33) | 1.29 (0.83–2.00) | 0.41 (0.22–0.76) |
| Individual vaccination | 1.24 (0.86–1.79) | 0.87 (0.51–1.50) | 1.08 (0.57–2.05) |
| Study group assignment (influenza or placebo) | 0.29 (0.10–0.83) | 0.17 (0.04–0.62) | 0.99 (0.23–4.43) |
| Distance to the city | 0.63 (0.34–1.12) | 0.65 (0.31–1.30) | 0.70 (0.31–1.53) |
| Elevation | 0.73 (0.45–1.21) | 1.04 (0.56–1.97) | 0.62 (0.32–1.19) |
| Temperature (lag‐1 week) | 1.00 (0.96–1.05) | 0.91 (0.86–0.95) | 1.19 (1.09–1.31) |
| Precipitation (lag‐1 week) | 1.07 (0.91–1.27) | 1.11 (0.87–1.41) | 1.11 (0.88–1.39) |
- —Canadian Institutes of Health Research (CIHR)10.13039/501100000024
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Taxonomy
TopicsInfluenza Virus Research Studies · Respiratory viral infections research · COVID-19 epidemiological studies
Introduction
1
Influenza, an acute respiratory illness, is a major cause of morbidity and mortality worldwide and can spread rapidly in closed or semiclosed communities [1]. Seasonal influenza, common in all parts of the world, affects about a billion people annually, causing 3 to 5 million cases of severe illness and an estimated 290,000 to 650,000 respiratory deaths [2]. Vaccination is well recognized to reduce the risk of influenza [3, 4, 5]. Nevertheless, influenza continues to be a major public health threat despite decades of global surveillance efforts, pharmaceutical, and nonpharmaceutical interventions [6, 7, 8]. In addition to the direct health impacts, influenza can cause a heavy burden on healthcare systems through sudden increases in outpatient visits and hospital admissions, leading to an increased resource demand [9].
Influenza is highly infectious, and transmission is easily spread through individual‐level factors such as age, underlying health conditions, and vaccination status [10, 11, 12]. Community‐level environmental drivers, including temperature, precipitation, geography, and social structure, may also affect spread. Although geographical and environmental conditions have been shown to influence the timing and the intensity of epidemics, uncertainty remains regarding community‐level environmental factors [13, 14, 15]. Traditional epidemiological study designs, such as ecological or individual‐level studies, do not fully account for this hierarchical structure, where individuals are nested within communities [16]. However, in many real‐world settings, this type of hierarchy is difficult to define because communities are often porous and individuals belong to multiple overlapping groups, such as households, schools, or workplaces. In contrast, the Hutterite colonies provide a setting where each individual belongs to one well‐defined and socially cohesive community, which allows the hierarchy to be clearly represented in the analysis. Analytical approaches that explicitly model this hierarchy, such as multilevel or hierarchical models, can provide more precise and reliable inferences about how both community and individual‐level factors shape infection risk [17, 18, 19].
Therefore, the Hutterite colonies in the Canadian prairies provide a unique opportunity to study influenza transmission because of their close‐knit community structure, where members share a similar lifestyle, activities, and population structures with limited external contact [20]. Earlier studies in this community reported that, despite these similarities, some colonies experienced outbreaks while others had none [20, 21].This highlights the variations across colonies despite the similarities in population settings, most likely due to the colony‐level variations.
Our study aimed to identify the individual, community, and environmental determinants of influenza infection in Hutterite colonies using a multilevel modeling framework. Specifically, we examined whether weekly changes in temperature and precipitation were associated with influenza transmission, while adjusting for individual characteristics, vaccination status, and colony‐level features.
Methods
2
Study Design, Population, and Settings
2.1
Our study used data from a prospective cohort established within a cluster‐randomized trial conducted during the 2008 influenza season. Participants were recruited from 46 Hutterite colonies across eight health regions in Alberta, Saskatchewan, and Manitoba who met the study eligibility criteria and provided consent to participate [20]. In the original trial, colonies were randomized to vaccination of children aged 3 years to 15 years with either the inactivated influenza vaccine or the Hepatitis A vaccine as a control group [20]. For the present analysis, we included all individuals residing in participating colonies, regardless of age or vaccination assignment, to examine individual and community‐level determinants of influenza infection. All residents were eligible for weekly surveillance. Figure 1 shows the geographic distribution of these colonies across Canada. The research protocol was approved by the McMaster University Research Ethics Review Board.
Location of the 46 Hutterite colonies included in the study across Alberta, Saskatchewan, and Manitoba. Hutterite colony points represent approximate locations based on aggregated study data. Maps were generated in ArcGIS Pro (Esri, Redlands, CA, USA) using provincial boundary shapefiles from the Government of Canada Open Data portal.
Data and Sources
2.2
The primary outcomes were laboratory‐confirmed influenza infections, categorized in three ways: any Influenza (A or B), Influenza A only, and Influenza B only. Weekly active surveillance was conducted in all colonies, and respiratory specimens were collected from participants who developed influenza‐like illness symptoms. Influenza infection was confirmed by real‐time reverse transcriptase polymerase chain reaction (RT‐PCR) [20]. Although the randomized trial primarily evaluated the indirect protection of vaccinating children [20], our analysis included all participating individuals in the 46 colonies, regardless of their age or vaccination status, to assess individual, environmental, and community‐level factors across all participants. For each participant, demographic information (age and sex) and clinical details, such as influenza vaccination status and presence of high‐risk conditions, were collected from the baseline dataset during the 2008–2009 influenza season (December 22, 2008, to June 28, 2009). In addition, colony‐level study group assignment (influenza vaccine vs. Hepatitis A vaccine) was included to account for the cluster‐randomized design of the original trial [20].
Colony‐level geographic and environmental datasets included elevation, distance to the nearest city, and weekly weather data. Elevation data for each colony were obtained from the Canadian Digital Elevation Model available through the Government of Canada's Open Data portal (https://open.canada.ca/data/en/dataset/18752265‐bda3‐498c‐a4ba‐9dfe68cb98da) and processed using ArcGIS Pro 3.1.0 software. Distances from each colony to the nearest city were calculated in ArcGIS Pro 3.1.0 using geodesic measurements between colony centroids and the nearest urban center. Daily weather data were obtained from Environment and Climate Change Canada's Historical Climate Data portal (https://climate.weather.gc.ca) from the nearest meteorological station to each colony. Colony locations were linked to their corresponding weather station. Daily temperature and precipitation were aggregated to the weekly averages for analysis.
Statistical Analysis
2.3
We used a generalized linear mixed model (GLMM) with a logistic link to evaluate influenza infection risk, accounting for hierarchical clustering at the colony level and temporal autocorrelation across weeks [22]. Three outcomes were analyzed separately: any influenza (Influenza A or B), Influenza A, and Influenza B. Models were estimated in R‐INLA (R Studio 2024.04.2), which uses Integrated Nested Laplace Approximation (INLA) [23, 24], providing efficient Bayesian inference for latent Gaussian models by approximating the posterior distributions.
The binary outcome variable yijt represents whether the individual i in colony j had PCR‐confirmed influenza infection (1, Yes; 0, No) during week t. We modeled the log odds of infection of influenza as
where i indexes the individual, j indexes the colony, and t indexes the week.
- Individual‐level covariates: sex (male = 0, female = 1), age (continuous), vaccination status (0 = vaccinated, 1 = not vaccinated within or outside the trial), and presence of high‐risk conditions (0 = no, 1 = yes)
- Colony‐level covariates: study group assignment (1 = influenza intervention, 0 = hep B/placebo), elevation (meters), and distance to the nearest city (kilometers).
- Time‐varying cluster‐level covariates: Tempjt is the mean temperature for colony j at week t, and Precjt is the mean total precipitation for colony j at week t. The colony‐level random effect was specified as
We included a weekly random effect wt modeled as an AR (1) process:
where wt is the week‐specific temporal random effect, ρ is the AR (1) serial autocorrelation parameter, [25, 26], which measures how strongly each week's outcome is correlated with the previous week, and δt is the random noise. Prior research has also accounted for weekly autocorrelation in influenza models [14, 27].We also evaluated an alternative specification that allowed colony‐specific week effects (random slopes for week within colony) to capture potential differences in temporal influenza dynamics across colonies. However, this structure did not offer a clear improvement in model performance or interpretability. Given the limited number of weekly observations and largely concurrent epidemic activity across colonies, we retained a more parsimonious model with colony‐level random intercepts and a single autoregressive (AR1) week effect common to all colonies. Each participant experienced only one PCR‐confirmed influenza episode during the study and therefore, individual‐level random intercepts were not included in the model.
We used penalized complexity (PC) priors developed by Simpson et al. for the colony‐level and temporal random effects [28, 29]. These priors shrink towards a simpler model with no random effect but allow variability and are defined through probability statements on the standard deviation [29, 30]. In comparison to the vague priors, the pc priors also tend to avoid overfitting [14, 28, 31]. In our models, we set the prior so that the probability of the random‐effect standard deviation exceeding 0.5 was 0.01 (Pσ>0.5=0.01).
Overall, we ran seven different model versions for each of the three influenza outcomes considered in this study. The models varied by whether weather variables were used as continuous or categorical (0‐ or 1‐week lag), inclusion of vaccination fixed‐effects terms, and whether the previous week's influenza incidence was considered.
Model Fit and Diagnostics
2.4
The model fit was evaluated using the Deviance Information Criterion (DIC), Watanabe–Akaike Information Criterion (WAIC), and log pseudomarginal likelihood (LPML). Among all model formulations (Models 1–6), these indicators were broadly similar, suggesting comparable fit with varying weather specifications and vaccination covariates. The 1‐week lagged model (Model 5) was selected as the final specification because it aligned with the biological timing of influenza transmission and showed interpretable, linear relationships between temperature, precipitation, and infection risk (Appendix B in the Supporting Information). The random‐effect hyperparameters indicated meaningful colony‐level variation and moderate week‐to‐week autocorrelation. A post hoc model including previous week colony‐level influenza activity and additional sensitivity analyses (Appendix A in the Supporting Information) produced consistent findings.
Result
3
Descriptive Statistics
3.1
Table 1 summarizes the descriptive characteristics of the study dataset (46 colonies with 3271 participants). The mean participant age was 26 years, with 53.3% aged 16–64 years, 36.2% aged 3–15 years, 5.6% under 2 years, and 4.9% aged ≥ 65 years. 43.5% were female, and 24.3 were vaccinated against influenza either within or outside the trial. Twenty‐two colonies (1498 participants) were in the influenza vaccine study group, and 24 (1773 participants) colonies were in the Hepatitis A vaccine control study group. Overall, 239 participants had RT‐PCR‐confirmed influenza, including 128 Influenza A and 111 Influenza B positive cases. Environmental characteristics included a mean colony elevation of 801.2 m and the mean distance of 15.6 km to the nearest city. The average weekly temperature across the 46 colonies was 0.9°C (SD 10.0), and mean weekly precipitation was 0.8 mm (SD 1.7).
Figure 1 shows the population pyramid by sex of the study participants, highlighting the relatively young age structure of the population with larger numbers of children and adolescents, compared with older age groups. Figure 2 shows the temporal distribution of influenza, with peaks for both Influenza A and B between February and April. The highest counts were observed in early April. Figure 3 represents the weekly influenza counts by virus type across all colonies during the 2008 influenza season.
Population pyramid by sex showing the age and sex distribution of participants across all colonies.
Multilevel Model Findings
3.2
The 1‐week lagged model was retained as the final specification because it aligned with the biological timing of influenza transmission and provided comparable fit across alternative model formulations. Sensitivity analyses using alternative lag structures, categorical weather terms, and exclusion of zero‐case colonies produced consistent results Appendix A in the Supporting Information.
Weekly influenza counts by virus type (A and B) across all colonies during the 2008 influenza season.
Table 2 shows the fixed effect estimates from the final Bayesian hierarchical model for the three outcomes: Influenza A/B (all influenza), Influenza A, and Influenza B. Female sex was associated with a lower risk of influenza infection across all outcomes, though the evidence for this association was weak based on credible intervals that include values near 1. Increasing age was consistently found to be protective, with a stronger effect observed for Influenza B (RR = 0.93, 95% CrI: 0.91–0.95) compared to Influenza A (RR = 0.99, 95% CrI: 0.98–1.00). Presence of existing high‐risk health condition showed little evidence of an association with overall influenza (RR = 0.95, 95% CrI: 0.67–1.33) but suggested increased risk for Influenza A (RR = 1.29, 95% CrI: 0.83–2.00) and reduced risk for Influenza B (RR = 0.41, 95% CrI: 0.22–0.76). Individual vaccination was not found to be protective in any model outcomes. However, being assigned to the influenza vaccine study group was associated with substantially reduced risk for all influenza (RR = 0.29, 95% CrI: 0.10–0.83) and Influenza A (RR = 0.17, 95% CrI: 0.04–0.62), but not Influenza B. Distance to the nearest city and elevation were weakly associated with reduced risk but with wide uncertainty. Among the two weather variables, higher temperature in the previous week was associated with decreased risk of Influenza A (RR = 0.91, 95% CrI: 0.86–0.95) and increased risk of Influenza B (RR = 1.19, 95% CrI: 1.09–1.31), while precipitation showed a weak positive association across all outcomes.
Discussion
4
Our study investigated the influenza transmission dynamics within 46 Hutterite colonies by assessing individual and colony‐level factors, including environmental and geographic influences, using a multilevel Bayesian hierarchical modeling framework. The findings from our study indicate that older age was associated with a lower risk of infection, particularly for Influenza B, while male participants had a slightly lower risk than female participants.
Colony‐level environmental and geographic factors showed different patterns across the three outcomes: all influenza, Influenza A, and Influenza B. For instance, higher mean temperatures in the previous week were associated with lower odds of Influenza A and higher odds of Influenza B, suggesting distinct ecological influences on each virus type. Prior literature shows that Influenza B often peaks later in the season than Influenza A, which supports the plausibility of subtype‐specific temperature associations in a single‐season analysis [32]. This seasonal offset may contribute to the opposite temperature relationships observed here, as Influenza A and B circulated at different points within the winter season. Because our analysis reflects a single influenza season, these findings should be interpreted cautiously. The observed associations may partly reflect the timing of subtype circulation during 2008–2009 rather than stable mechanistic differences in temperature responsiveness. Further multiseason analyses would be required to determine whether these patterns are consistent across years.
Precipitation showed weaker and less consistent associations with wide uncertainty in the estimates. Colony elevation and distance to the nearest city also suggested some possible associations, but the estimates were imprecise. The use of 1‐week lagged weather terms provided biologically plausible insights consistent with incubation periods and short‐term transmission dynamics. Overall, our findings are in line with prior research suggesting that weather and geography may shape the timing and intensity of influenza outbreaks [15, 33, 34]. However, once transmission is established, person‐to‐person spread likely becomes the primary mechanism sustaining influenza spread within colonies.
Individual‐level vaccination status was not significantly associated with reduced risk in our multilevel models. In this trial, only children received the influenza or Hepatitis A vaccine according to their colony's randomized assignment. Adults did not receive any vaccine as part of the trial, so any adult vaccination status recorded in the dataset is subject to confounding by factors such as age or susceptibility. This may contribute to the weaker individual‐level association. In contrast, the colony‐level vaccination term reflects the effect of the randomized intervention and therefore captures the primary variation in vaccination‐related transmission risk. This should not be interpreted as the absence of direct protection. The strong protective association at the colony level is consistent with indirect (herd) effects in these closely connected communities and aligns with the original trial findings by Loeb et al., which showed that vaccinating children reduced community‐level influenza risk using the same dataset [20]. The effect of vaccinating children against influenza reduced outbreaks in the influenza vaccine‐assigned colonies by about half. This suggests that community‐level vaccine coverage and herd effect are particularly important, and communal, social, and environmental conditions may contribute to shaping an outbreak risk. Our post hoc model included the presence of influenza cases from the past week at the colony level. The findings of the post hoc model are consistent with prior studies that recent local transmission strongly influences ongoing spread [14, 35], providing additional support to the main results. Altogether, these findings indicate that influenza risk in a community setting is determined by both individual‐level vulnerability and community‐level dynamics, with weather acting as a modifying factor. This multilevel perspective emphasizes the need for strategies that combine high vaccine uptake with careful monitoring of environmental and epidemiological indications.
The strength of our study includes the unique Hutterite study setting, which provides a rare opportunity to study influenza transmission in closely monitored and well‐defined communities with limited exposure to the outside. The surveillance and cluster‐randomized trial study design with integration of geographic and environmental data enabled detailed modeling of both individual and colony‐level factors. The use of Bayesian hierarchical models with temporal autocorrelation allowed us to account for the week‐to‐week dependence in influenza activity, providing more reliable inference.
Our study also has some limitations. Weather data were derived from the nearest meteorological stations and averaged to the colony level, which may not fully capture local variations. Only one influenza season was included, limiting the ability to assess year‐to‐year variability. Post hoc analyses, including the incorporation of the previous week's colony‐level activity, were primarily exploratory and should be interpreted with caution. There may also have been other unmeasured factors, such as prior immunity or within‐colony contact patterns, that influenced influenza risk but were not captured in this analysis. Finally, the findings of our study may not be generalizable beyond similar communal populations, where contact patterns and social structures may differ from those of urban or more heterogeneous communities. The Hutterite colonies function as close‐contact communities with relatively stable and uniform contact patterns, which differ substantially from more heterogeneous or urban community settings. This semiclosed colony structure also allows certain transmission mechanisms to be observed with less confounding, as exposure to outside sources is limited. While these features strengthen inference about how community‐level factors, including vaccination coverage and environmental conditions, influence influenza spread, the effect sizes observed here may not translate directly to broader populations. Nonetheless, the mechanisms identified may still be relevant in other communal or institutional settings with similar structured contact patterns.
To summarize, our findings show that influenza transmission in Hutterite colonies is a complex process shaped by both individual characteristics and colony‐level dynamics. These results highlight the importance of community‐level environmental factors in influenza risk. Overall, this study contributes to the understanding of influenza epidemiology by showing how community structure and environmental exposures interact with individual‐level risk. These findings emphasize the importance of integrated surveillance approaches that consider community‐level factors when guiding outbreak preparedness in similar population settings.
Author Contributions
Nushrat Nazia: conceptualization, methodology, formal analysis, writing – original draft, writing – review and editing. Mark Loeb: conceptualization, funding acquisition, supervision, writing – review and editing. Eleanor Pullenayegum: methodology, statistical guidance, validation, writing – review and editing. All authors have read and approved the final manuscript.
Funding
This study was supported by grants from the Canadian Institutes of Health Research (CIHR).
Ethics Statement
This study was approved by the McMaster University Research Ethics Board (REB #XXXX). All participants provided informed consent as part of the original randomized influenza vaccine trial.
Conflicts of Interest
M.L. participated in vaccine advisory boards for Pfizer, Seqirus, Sanofi, Merck, Aramis, and GSK.
Supporting information
Table S1: Model specifications and fit statistics for Influenza A/B (all Influenza) outcome. Table S2: Model specifications and fit statistics for Influenza A outcome. Table S3: Model specifications and fit statistics for Influenza B outcome. Table S4: Hyperparameter estimates from Bayesian hierarchical models of influenza outcomes. Table S5: Post hoc fixed‐effect estimates from post hoc multilevel models of the three influenza outcomes. Figure S1: Residual plot showing linearity of temperature effect (Influenza A/B). Figure S2: Residual plot showing linearity of precipitation effect (Influenza A/B).
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