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PLOS One logoLink to PLOS One
. 2026 Feb 10;21(2):e0342510. doi: 10.1371/journal.pone.0342510

Spatial patterns and environmental influences of COVID-19 outbreaks, post-Omicron

Aleksandra Stamper 1,2,*, Rachel E Baker 1,2
Editor: Yury E Khudyakov3
PMCID: PMC12890149  PMID: 41666261

Abstract

The seasonality of many respiratory pathogen outbreaks, such as influenza and respiratory syncytial virus, is driven by climate factors, such as specific humidity or temperature. However, it remains unclear whether climate plays a role in determining the seasonality of COVID-19, given that the evolution of novel strains likely plays a key role in shaping outbreak dynamics. Here we use Emergency Department data to explore spatial differences in COVID-19 outbreak dynamics over three years, from April 2022 through March 2025. We observe that outbreak patterns varied across latitude, with southern states experiencing larger summer peaks and northern states facing more evenly distributed summer to winter outbreaks or larger winter peaks. We find that specific humidity and temperature at the state level are significantly associated with observed differences in ED visits with a COVID-19 diagnosis, even after controlling for state-level variation in vaccination status. Our results imply a role for climate in influencing COVID-19 outbreak dynamics. We anticipate these findings will provide a foundational understanding of factors shaping SARS-CoV-2 transmission as COVID-19 becomes endemic in the United States.

Introduction

COVID-19, a respiratory disease caused by severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2), was declared a global pandemic by the World Health Organization (WHO) on March 11, 2020. The pandemic has resulted in significant global disease burden, with an estimated 1.2 million deaths in the United States alone as of September 2025 [1]. Early regression analyses suggested a potential relationship between climate factors (e.g., temperature, humidity, precipitation, and solar radiation) and SARS-CoV-2 transmission [24]. However, evaluating these relationships in the early stages of a pandemic is challenging due to the large susceptible population, meaning preliminary findings may fail to fully capture longer-term patterns or underlying climate-disease dynamics [5]. As COVID-19 shifts from a global pandemic into an endemic disease, the shrinking susceptible population enables more robust analysis of climate influences driving SARS-CoV-2 transmission [5,6].

Many respiratory viruses exhibit seasonal outbreak trends linked to cyclical shifts in climate factors such as temperature or specific humidity [7,8]. Influenza [9,10] or respiratory syncytial virus [RSV] [11] commonly experience winter peaks in temperate regions, driven by troughs in specific humidity [12]. Other viruses, such as enterovirus, are known to peak during the summer in temperate climates, corresponding with higher temperatures [13]. When outbreak patterns differ along a latitudinal gradient, this may indicate a role for climate in influencing disease seasonality, as changes in latitude broadly map onto differences in weather patterns [14]. For many common respiratory viruses, such as influenza [15], coronaviruses [16], Human metapneumovirus [17], or RSV [18], the viral structure contains an outer lipid membrane (i.e., an envelope) surrounding the viral genome. Climate factors such as temperature [19,20], humidity [19,21,22], and UV radiation [23,24] can disrupt the stability of the lipid bilayer, making enveloped viruses more susceptible to environmental conditions compared to their non-enveloped counterparts. Given the established roles of climate drivers in other respiratory viruses such as influenza [9] or RSV [11], there has been strong interest in whether climate influences may be linked to COVID-19 outbreak patterns.

In the early stages of the pandemic, numerous studies assessed links between climate and COVID-19 transmission. Several analyses detected associations between colder, drier conditions and elevated disease activity [2,2530], while others identified more complex, nonlinear relationships [20,31]. However, the large susceptible population during this period likely minimized the influence of climate on transmission dynamics [5]. As susceptibility wanes and COVID-19 transitioned toward endemic circulation, climate factors may have played a large role on outbreak dynamics, enabling their effects on transmission to be inferred more clearly. Following the Omicron wave in the United States, COVID-19 activity settled into a recurring cycle of summer and winter outbreaks (S1 Fig), exhibiting a biannual outbreak pattern that diverges from other common respiratory diseases with annual outbreaks (e.g., influenza [19], RSV [11], or enterovirus [13]). The United States, spanning temperate and subtropical climates across latitudes [32], presents an ideal setting to further examine the climate-disease relationship, particularly given the presence of publicly available high-resolution COVID-19 data starting in 2020 [33].

Here, we perform a state-level analysis in the United States to assess the associations between climate factors and COVID-19 trends, using weekly emergency department (ED) data on the percentage of visits with a COVID-19 diagnosis. The study period ranges from April 1, 2022, through March 30, 2025. We used the percentage of ED visits with a COVID-19 diagnosis rather than positive test counts, as it offers a more stable measure of disease burden and is less affected by reporting or testing behaviors. To characterize COVID-19 activity, we calculate two standardized disease metrics (epidemic intensity and mean case timing) to state latitude values (derived from centroid coordinates of each state). Epidemic intensity (scaled 0–1) reflects the concentration of cases over a year, and mean case timing represents the weighted average week in which the cases occur. Finally, we use fixed effects linear regression analyses that account for state-level vaccination coverage to explore the relationships between specific humidity, temperature, and COVID-19 activity.

Materials and methods

Data

ERA5 hourly reanalysis data for 2m temperature and dew point temperature were downloaded at 0.25° × 0.25° resolution (roughly 30 km2 grids) [34], and daily values were extracted for each state using state-level shapefiles [35]. Specific humidity and relative humidity were computed from temperature and dew point temperature using standard Magnus formulations for actual and saturation vapor pressure, which are approximations of the Clausius-Clapeyron relation [36]. The joint distributions of specific humidity and temperature were compiled in S2 fig. Centroids for each state (representing the geographic midpoint of their latitude and longitude coordinates) were calculated using the stcentroid() function from the sf package [37,38]. Data on the weekly percentage of ED visits with a COVID-19 diagnosis at the state level were downloaded from the CDC COVID Data Tracker [33]. Data on COVID-19 vaccination information at the state level were downloaded from the CDC COVID-19 Vaccination Trends data catalog [39]. Alaska and Hawaii were excluded to focus analyses on contiguous US states. A complete-case analysis was conducted, excluding Wyoming in 2024–25 due to discontinuation of state-level reporting.

Outbreak characteristics

Epidemic intensity (EI) is defined based on Dalziel et al. [40] as:

EI=1pln(p)ln(152) (1)

Where p is a vector of the mean percentage of ED visits with a COVID-19 diagnosis per week divided by the sum across all weeks. EI was calculated for average weekly activity over the entire time frame and for each “COVID-19 year”, i.e., April 2022 – March 2023, April 2023 – March 2024, and April 2024 – March 2025 (S3 fig).

Mean case timing (MT) was calculated by identifying the center of gravity with the “circular” package in R [41]. The calculation identifies the arithmetic weighted mean week of ED visits with a COVID-19 diagnosis. The formula is given by:

MT=52·atan2(w=152Iwsin(w),w=152Iwcos(w))2π (2)

Where w is the week of the year (ranging 1-52) converted to radian units by w=week52·2π, and Iw is the mean percentage of ED visits with a COVID-19 diagnosis in week w, averaged across April 2022 – March 2025.

The ratio of Winter to Summer peak size was calculated for each COVID-year per state. Weeks were designated as Summer (April – September) or Winter (October – March), and the maximum peak size was extracted from each season before calculating the ratio of the winter peak divided by the summer peak.

Fixed effects binned regression

We ran a binned fixed effects regression, with temperature bins of 5 °C and specific humidity bins of 2 g/kg to estimate outcome log(ED visits with a COVID-19 diagnosis) as:

log(yit)=β1t[20,15)+β2t[15,10)++β9t[25,30)+γ1q[0,2)+γ2q[2,4)++γ6q[18,20)+αi+αy+αw+εit (3)

Where log(yit) is the logged percentage of ED visits with a COVID-19 diagnosis in state i at week and year w; β terms represent dummy variables corresponding to the temperature bins; γ represents dummy variables corresponding to the specific humidity bins; αi refers to state-specific fixed effects; αy refers to year-specific fixed effects; αw refers to week-specific fixed effects, and εit reflects clustering of standard errors at the state level. A binned fixed effects model with only specific humidity as a predictor had a lower adjusted R2 value compared to the full model (0.6126 vs. 0.6120 S7 fig). When implementing the model, intercept bins were selected to align with the troughs in Fig 2C, at 10-12 g/kg specific humidity and 15-20°C temperature. Multiple bin sizes were tested for each parameter (ranging 2-5°C for temperature and 2-4 g/kg for specific humidity), and the bin combination resulting in the lowest AIC (Akaike Information Criterion) and BIC (Bayesian Information Criterion) values was selected for the final model SI tbl2.

Fig 2. COVID-19 outbreak patterns following a latitudinal gradient, which may be related to an identified U-shaped relationship with climate factors.

Fig 2

A. Heat maps of scaled weekly COVID-19 burden per “COVID-year” (April - March), ordered by descending latitude. B. Averaged weekly percentage of ED visits with a COVID-19 diagnosis over the COVID-year, by climate subgroup. C. Relationship between climate factors (specific humidity, temperature) and COVID-19 activity showing a U-shaped relationship between weather and case burden, with lower-latitude locations exhibiting more extreme case troughs along the climate range.

Generalized additive model

To investigate the relationship between climate and COVID-19 activity, we ran a generalized additive model (GAM) with outcome log(ED visits with a COVID-19 diagnosis) in a particular week, as:

log(y)is(qi,k=5)+ti+s(week, bs=“cc”, k=20)+factor(state),i=1,,n (4)

Where log(y)i logged ED visits with a COVID-19 diagnosis in week i, specific humidity in week i was included as a smooth term estimated with a thin plate regression spline with 5 knots (qi), and temperature in week i was included as a linear term (ti). The model additionally includes a cyclic smooth term for the week of year to capture seasonal patterns and state fixed effects to control for time-invariant differences across states. The GAM used thin plate regression splines (bs = tp), the default spline basis in the R mgcv package [4246]. The specific humidity smooth used k = 5 basis functions to capture the observed U-shaped association. Knot placement was determined internally by mgcg’s thin-plate basis construction, which minimizes the integrated squared second derivative. Smoothing parameters were estimated using restricted maximum likelihood (REML), which provides stable smoothing parameter estimates and reduces the risk of undersmoothing. We report the effective degrees of freedom (edf), X2, and p-values for each term in SI tbl3. Model residuals were examined, and we included plots describing residual vs. fitted values, residuals vs. linear predictors, the Q-Q plot, and a histogram of residuals in the supplement (Supplemental S5 fig) in the supplement. The final GAM was selected by maximizing the adjusted R2 and percentage deviance explained (SI tbl4). Based on results from the binned fixed effects regression analysis, a spline term was chosen to reflect the U-shaped relationship between specific humidity and cases (S6 fig), while a linear term was selected to represent the relationship between temperature and cases.

Fixed effects model with vaccination

To isolate the effect of climate on COVID-19 cases, we ran additional fixed effects models that incorporate vaccination status at the state level:

log(y)l,t=β1Cl,t+β2Vl,t+γl+λt+εl,t (5)

Where log(y)l,t is logged ED visits with a COVID-19 diagnosis in week t and state l; Cl,t refers to the climate variables (mean specific humidity, mean temperature) at time t and state l; Vl,t represents the percentage of the population with a completed COVID-19 booster at time t and state l; γl represents the state-specific fixed effects, and λt represents the year-specific fixed effects. Separate regressions were run for each climate factor. Standard errors were clustered at the state level.

Sensitivity analyses

Multiple sensitivity analyses were conducted to assess the robustness of the climate-COVID-19 relationship including testing alternative outcome definitions, model specifications, and addressing potential sources of temporal and spatial dependence.

Alternative outcome definition (COVID-19 ED visits versus COVID/Influenza-like-illness [ILI] ratio).

As the percentage of ED visits with a COVID-19 diagnosis can vary with changes in overall ED volumes, we re-estimated the GAM using an alternative outcome: the log ratio of ED visits with a COVID-19 diagnosis to ILI visits. Weekly state-level ILI visits were obtained from CDC FluView [47]. The GAM in Eq 4 was fit to both outcomes, and found that the estimated smooth terms for specific humidity and week remained highly consistent, indicating that the climate associations are not driven by shifting denominator features in the ED percentage metric (SI tbl1).

Serial correlation-robust inference.

The weekly structure of the outcome data may introduce heteroskedasticity and autocorrelation in the GAM residuals. To address this, we re-estimated the GAM using Newey-West heteroskedasticity- and autocorrelation-consistent (HAC) standard errors [48]. We computed HAC-adjusted standard errors and performed joint Wald tests for the specific humidity and week-of-the-year smooth terms (SI tbl3).

Spatial autocorrelation on residuals.

To evaluate whether residuals exhibited spatial dependence across states, we computed Moran’s I, a measure of spatial autocorrelation, using queen-contiguity (border or corner adjacency) spatial weights with 999 permutation simulations. Analyses were conducted on state-level mean residuals for the primary GAM.

Assessing multiple climate variables.

To evaluate whether the results depended on the choice of climate variables, we re-fit the GAM using: a) relative humidity in place of specific humidity, b) dew point temperature in place of air temperature, and c) combinations of these variables while maintaining the same model structure and fixed effects (SI tbl4).

Results

We observe a latitudinal gradient in COVID-19 outbreak patterns (e.g., epidemic intensity and mean case timing) at the state level, as represented in Fig 1. In Fig 1a, we plot the scaled average weekly percentage of ED visits with a COVID-19 diagnosis on the state level between April 2, 2022, and March 29, 2025. The cyclical nature of the plot highlights the year-round COVID-19 infection trends, indicating the relative summer and winter peak sizes in each state. While most states exhibited two periods of heightened activity per year, corresponding with summer and winter months, southern states (e.g., Florida, Georgia, or Texas) tended to have larger summer peaks. In contrast, more northern states (e.g., Maine, Ohio, or Rhode Island) experienced summer and winter peaks of more comparable magnitude or larger winter peaks. Large summertime outbreaks contributed to higher epidemic intensity and earlier mean case timing in southern states compared with their more northern counterparts. Higher-latitude states exhibited larger winter outbreaks relative to summer activity, with states above 39 degrees latitude showing average winter-to-summer outbreak ratios greater than 1 S4 fig. Fig 1B shows a strong gradient in epidemic intensity and mean case timing in the United States, with linear regression confirming significant relationships where higher latitude was associated with a reduction in epidemic intensity (p < < < 0.001) and a later mean case timing (p < < < 0.001). A year-by-year analysis of epidemic intensity showed that the latitude–EI relationship was largely robust to annual variability. Lower latitude remained significantly associated with higher outbreak intensity in the 2022–23 and 2023–24 seasons (p < < 0.001; S3 fig). In contrast, during the 2024–25 season, a substantial winter outbreak that disproportionately affected higher-latitude states attenuated this relationship, yet the association between latitude and epidemic intensity was not statistically significant (p > 0.05).

Fig 1. Assessing COVID-19 infection patterns through the percentage of weekly emergency department visits with a COVID-19 diagnosis, April 2022–March 2025.

Fig 1

Note: Wyoming data represents April 2022 – March 2024 due to halting data reporting. A. Scaled mean weekly percentage of ED visits with a COVID-19 diagnosis during study period per state. B. Scatterplots showing association between latitude and mean timing of cases (week) and epidemic intensity across 2022-2025.

Heatmaps showing scaled weekly ED visits with a COVID-19 diagnosis (Fig 2A) highlight the persistence of biannual activity across latitudes, with consistent summer and winter peaks in higher-latitude states and more dominant summer peaks at lower latitudes. Next, we explore whether average outbreak patterns differ across states grouped by mean temperature and mean specific humidity. When examining weekly disease burden by temperature and specific humidity groupings, clear regional differences emerge: southern states with hotter, more humid climates experienced the largest outbreaks in the summer, whereas the states with colder, less humid climates exhibited summer and winter peaks of more comparable size (Fig 2B). The larger summer peaks in the lower-latitude states drive the higher epidemic intensity values seen in Fig 1B, compared to the more evenly dispersed biannual peak sizes observed in the more northern states. Generalized additive model (GAM) fits stratified by mean state-level specific humidity further illustrate how outbreak characteristics varied across climates (Fig 2C). Specific humidity exhibited a marginal U-shaped association with disease activity, with elevated ED visits with a COVID-19 diagnosis occurring at both high and low levels, while intermediate values were associated with reduced disease burden. Temperature also showed a marginal non-linear relationship with disease activity, with higher case burden at colder and warmer temperatures, and lower disease burden at intermediate temperature ranges. Notably, the U-shaped relationships between COVID-19 activity and climate factors become more pronounced in southern states, with sharper increases in disease burden associated with higher temperatures and specific humidity values. This suggests that while climate-COVID-19 associations are broadly consistent across the United States, outbreaks in lower latitude states may be more strongly influenced by climate factors compared to higher latitude states.

To further investigate the potential climate-disease relationship, we next quantified the joint effects of temperature and specific humidity on COVID-19 activity using a two-step modeling framework (Fig 3). First, binned regression was used to investigate specific humidity, temperature, and COVID-19 activity. We found a U-shaped relationship between COVID-19 burden and specific humidity, where the lowest disease risk occurred at intermediate specific humidity levels, and a more monotonic, negative association with temperature (Fig 3A). To test whether this identified relationship, particularly the apparent increase in summer activity, was driven by overall changes in ED visits, we estimated a fixed effects model using the ratio of ED visits with a COVID-19 diagnosis to ILI reports. This sensitivity check yielded results consistent with the main model, confirming a significant nonlinear association between specific humidity and disease activity SI tbl1. Given our binned model implies a nonlinear effect of specific humidity and a more linear fit of temperature, we fit a generalized additive model (GAM) to weekly logged ED visits with a COVID-19 diagnosis, incorporating a spline term to represent a nonlinear U-shaped relationship for specific humidity and a linear relationship with temperature. Multiple climate variables were tested when developing the GAM; a nonlinear combination of specific humidity with a linear term for temperature explained the greatest proportion of variance (SI tbl4). Drawing from the observed ranges of temperature and specific humidity, Fig 3B shows the predicted surface of the climate-COVID-19 relationship, highlighting how the risk of disease is expected to vary under different combinations of temperature and specific humidity. Lower disease risk is predicted at intermediate levels of temperature and specific humidity, whereas higher risk emerges at the upper range of these conditions. The more vibrant polygon in Fig 3B indicates the range of observed co-occurring temperature and specific humidity combinations during the study period. The monthly average climate combinations for Wisconsin (a northern state) and Florida (a southern state) are plotted on the GAM surface to show the trajectory of temperature and specific humidity throughout the year. The transmission surface conveys how the hot and high specific humidity combinations in Florida underlie the summer outbreak, while the cool and low specific humidity conditions in Wisconsin promote its winter outbreak, with lower anticipated COVID-19 activity occurring in the middle of the climate ranges. Together, these results suggest that climate factors may amplify COVID-19 activity, particularly at the upper or lower bounds of temperature or specific humidity.

Fig 3. Modeled relationship between climate predictors (specific humidity, temperature) and logged ED visits with a COVID-19 diagnosis.

Fig 3

A. Results from the binned fixed effects model, showing a U-shaped relationship between specific humidity and logged ED visits, and a more linear relationship between temperature and logged ED visits. B. Surface plot indicating climate contexts of predicted heightened COVID-19 activity from a generalized additive model whose model specification was influenced from the binned fixed effects model estimates for temperature and specific humidity. The joint distribution of temperature and specific humidity in the entire dataset is found in S3 fig, while the marginal effect of specific humidity is seen in S8 fig.

Discussion

Similar to other endemic respiratory diseases (e.g., influenza, RSV, enterovirus), this analysis suggests that COVID-19 outbreak patterns may be influenced by climate factors. Beyond the spatial component of latitude, specific humidity and temperature accounted for excess variation in state-level outbreak patterns not explained by latitude alone. COVID-19 activity exhibited a nonlinear relationship with specific humidity, with outbreaks concentrated in both summer and winter months, where the magnitude and seasonal distribution of these outbreaks varied along a latitudinal gradient. These findings remained consistent even when accounting for sources of spatial and temporal bias in the outcome data (SI tbl3), testing other climate variables (SI tbl4), and accounting for the percentage of the population with a completed COVID-19 booster dose (SI tbl5). States with higher mean specific humidity and temperature generally exhibited higher epidemic intensity values due to the presence larger summer outbreaks. Understanding how variations in outbreak patterns across geography may be related to climate factors helps improve public health preparedness and strategic resource allocation.

Our analysis identified a strong, statistically significant signal in which higher and lower values of specific humidity were associated with elevated disease activity, while temperature had a more negative association. The mechanisms underlying this pattern are uncertain, and the literature shows limited consensus on the climate conditions most conducive to COVID-19 activity, particularly when focusing on the later stages of the pandemic (i.e., post-2021). As COVID-19 transitions into endemic circulation, observed biannual peaks are likely influenced by a combination of viral evolution (which depletes the size of the susceptible population), climate influences, and population factors (e.g., vaccination coverage). Early multinational analyses found a negative association between temperature and SARS-CoV-2 infections [25], and similar negative correlations were identified between temperature and COVID-19 mortality across temperate regions of Europe and the United States through mid-2021 [49]. An analysis in Japan, a country spanning temperate and tropical climates, found that COVID-19 activity had a negative correlation with temperature but a J-shaped relationship with specific humidity [50]. Laboratory-based studies also suggest nonlinear relationships: SARS-CoV-2 half-life varies with relative humidity, following a U-shaped relationship with the strongest effects seen above 22°C [20]. We find strong evidence supporting this U-shaped relationship, especially prominent in southern regions of the United States with higher average levels of specific humidity, where the size of the summer COVID-19 outbreak peak was prone to eclipse the winter peak S7 fig. Taken together, these findings indicate that the climate–COVID-19 relationship is nuanced and shaped by the joint distribution of temperature and specific humidity.

There are several caveats with this analysis. First, while the regression analysis identifies an association between climate and COVID-19 outbreak patterns, a mechanistic model is required to identify the link between climate and transmission. Such a model could be used to assess the likelihood of continued summertime outbreaks in the coming years. Second, our results rely on three years of post-Omicron data. Continued data collection at the sub-national, or ideally sub-state level, is necessary to better identify possible climate links. The discontinuation of some SARS-CoV-2 data collection efforts limits our ability to test sub-state level variation and influences on transmission. Finally, while our fixed effect model removes common state-level factors, there may be other characteristics or social factors that influence SARS-CoV-2 dynamics. Longer time series, adjustment for the the COVID-19 stringency index [51], or the incorporation of data from other countries may help improve the assessment of a climate effect. More broadly, additional work is needed to understand the current drivers of SARS-CoV-2 transmission, and how the interplay between viral evolution, vaccination, and behavioral or environmental factors may influence outbreak patterns in the coming years.

Conclusion

Our results show distinct variation in COVID-19 outbreak patterns along a latitudinal gradient in the United States following the Omicron wave in 2022. While most states experienced two outbreaks per year in summer and winter, southern states were more likely to have a larger summer peak, whereas more northern states commonly had two similar size peaks during summer and winter. Additionally, we found that climate variables (specific humidity and temperature) were significantly associated with case activity, even after adjusting for state-level vaccination coverage, assessing an alternative outcome measure, and performing sensitivity analyses. These findings were robust to multiple years of data, even with the arrival of new SARS-CoV-2 variants during the study period. While multiple factors likely influence the seasonality of COVID-19 outbreaks, we found evidence supporting a potential role for climate in modulating transmission dynamics.

Supporting information

S1 Fig. Weekly timeseries displaying the percentage of ED visits with a COVID-19 diagnosis per state for the study period.

Most states had three years of complete data, while Wyoming stopped reporting in 2025 and thus only used data from April 2022 - March 2024. Each “COVID-19 year” has a different color to indicate the demarcation of the study period.

(PNG)

pone.0342510.s001.png (1.9MB, png)
S2 Fig. Joint distribution of observed temperature and specific humidity values across all states in dataset.

Warmer colors indicate more commonly observed temperature and specific humidity combinations.

(PNG)

pone.0342510.s002.png (255.8KB, png)
S3 Fig. Epidemic intensity calculated for each state and COVID-year in relation to latitude.

Color indicates year.

(PNG)

pone.0342510.s003.png (61.3KB, png)
S4 Fig. Ratio of the Winter/Summer COVID-19 peak size per state.

Winter/Summer peak ratio for each state and COVID-year, where larger ratios indicate larger summer peaks relative to winter peaks.

(PNG)

pone.0342510.s004.png (80.1KB, png)
S5 Fig. Diagnostic plots for the generalized additive model (Eq 4).

A. Q-Q plot showing residuals largely following the theoretical normal distribution. B. Histogram of residuals, approximately symmetric and centered near zero. C. Residuals versus linear predictor, showing no major nonlinear patterns, with mild heteroskedasticity. D. Observed versus fitted values, indicating that fitted values span a narrower range than the observed log(ED visits). Together, these diagnostics support the adequacy of the model while motivating inclusion of state and cyclic week effects.

(PNG)

S6 Fig. Estimated smooth terms from the GAM including state and cyclic week effects.

A. Specific humidity shows a nonlinear, U-shaped association with log(ED visits). B. The cyclic spline for week captures within-year seasonal structure. Solid lines represent fitted effects; dashed lines show 95% confidence intervals.

(PNG)

pone.0342510.s006.png (276.3KB, png)
S7 Fig. Results from a binned fixed effects model assessing logged ED visits with a COVID-19 diagnosis with specific humidity as a predictor.

Results from the binned fixed effects model,showing a U-shaped relationship between specific humidity and logged ED visits.

(PNG)

pone.0342510.s007.png (91.4KB, png)
S8 Fig. Marginal effect of specific humidity on the predicted logged ED visits with a COVID-19 diagnosis.

Estimated marginal effects at temperatures of 0 °C, 10 °C, and 20 °C.

(PNG)

pone.0342510.s008.png (221.6KB, png)
S1 Table. Comparison of climate smooth terms across outcome definitions: percentage of COVID-19 ED visits (main model) vs. log ratio of COVID-19 ED to ILI ED (robustness model).

The direction, magnitude, and significance of humidity and seasonal smooths remain highly consistent across models, indicating robustness to denominator shifts in ED case mix.

(XLSX)

pone.0342510.s009.xlsx (9.2KB, xlsx)
S2 Table. Model performance across temperature and specific humidity bin sizes.

Sensitivity analyses to determine optimal temperature and specific humidity bin sizes. Temperature bins of 5C paired with specific humidity bins of 2g/kg yielded the lowest AIC and BIC values and were selected as bin sizes for the fixed effects models.

(XLSX)

S3 Table. Summary of smooth terms from the generalized additive model (GAM).

Smooth term estimates from the GAM, showing model flexibility (EDF), reference degrees of freedom, and significance of the specific humidity- and week-related spline components.

(XLSX)

pone.0342510.s011.xlsx (9.1KB, xlsx)
S4 Table. Sensitivity of GAM results to alternative humidity and temperature specifications.

Across all models, the humidity smooth term remains highly significant, and model fit metrics vary minimally, demonstrating that the main climate associations are not sensitive to the choice of humidity measure.

(XLSX)

pone.0342510.s012.xlsx (9.3KB, xlsx)
S5 Table. Quantifying the effects of specific humidity and temperature on COVID-19 burden, adjusting for the percentage of the population with a completed booster dose.

After adjusting for the percentage of a state’s population who received a booster dose, we still find that higher weekly specific humidity is associated with heightened disease activity, along with lower temperature.

(XLSX)

pone.0342510.s013.xlsx (9.8KB, xlsx)

Acknowledgments

We thank the Editor and anonymous reviewers for reviewing this manuscript.

Data Availability

Aggregated COVID-19 and climate data are publicly available. Code and data to run the analysis is available at https://github.com/aleksandrastamper/covid-seasonality. R was used for the statistical computing environment (version 4.4.3) to process, analyze, and visualize data.

Funding Statement

A.S. and R.E.B. are supported by the Burroughs Wellcome Fund award number 1181130 https://www.bwfund.org. The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.

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PLoS One. 2026 Feb 10;21(2):e0342510. doi: 10.1371/journal.pone.0342510.r001

Author response to Decision Letter 0


Transfer Alert

This paper was transferred from another journal. As a result, its full editorial history (including decision letters, peer reviews and author responses) may not be present.

27 Oct 2025

Decision Letter 0

Yury Khudyakov

30 Nov 2025

PONE-D-25-57696

Spatial patterns and environmental drivers of COVID-19 outbreaks, post-Omicron

PLOS ONE

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Reviewer #1: Yes

Reviewer #2: Partly

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2. Has the statistical analysis been performed appropriately and rigorously?

Reviewer #1: I Don't Know

Reviewer #2: No

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Reviewer #1: Yes

Reviewer #2: Yes

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Reviewer #1: Yes

Reviewer #2: Yes

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5. Review Comments to the Author

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Reviewer #1: The authors investigated the impact of climate patterns on COVID-19 outbreaks during the post-Omicron wave. The methods are appropriate, and the content is innovative. However, one point requires correction: the citation in Line 5 currently appears as “[?]” and should be fixed.

Reviewer #2: The manuscript analyzes U.S. state–level emergency department (ED) data (April 2022–March 2025) to describe post-Omicron COVID-19 seasonality and investigate associations with temperature and specific humidity using descriptive metrics (epidemic intensity and circular mean timing) and panel regressions/GAMs. It reports (i) a transparent latitudinal gradient in outbreak patterns and (ii) a U-shaped relationship between specific humidity and burden, with higher risk at both low and high values and lowest risk at intermediate humidity; temperature shows a more negative/monotone association overall. The analysis relies on public ED visit percentages from the CDC, ERA5 climate data, and state-level booster coverage, with figures summarizing temporal patterns and model-based response surfaces.

The topic is timely and suitable for PLOS ONE, and the dataset window (post-Omicron) is a strength. The manuscript offers a valuable post-Omicron perspective and clearly documents the geographic structure in COVID-19 ED patterns. However, several methodological decisions limit interpretability. With stronger attention to outcome denominators, serial/spatial dependence, bimodal timing, and potential confounders, in addition to fuller model transparency and robustness checks, the conclusions can be considered well-supported, and the claims about climate associations will be much more compelling and publication-ready.

Major comments

- Using the percentage of ED visits with a COVID-19 diagnosis is defensible for mitigating testing/reporting artifacts. However, it is sensitive to changes in the ED case mix (e.g., heat waves, injuries, RSV/flu surges) that alter the denominator independent of COVID-19 transmission. Please:

o Re-run key analyses with an incidence-style outcome (e.g., estimated COVID-related ED visits per 100k population, if derivable from the CDC series) and/or with the log ratio of COVID ED visits to a stable internal control (e.g., total respiratory visits).

o At a minimum, control for state-week total ED volume (or include week×region fixed effects) to absorb denominator shifts. This control is crucial for interpreting the U-shape at high humidity/temperature in southern states, where summertime non-COVID ED volume is large.

- EI is computed based on the mean weekly curve aggregated across April 2022 and March 2025. This collapses interannual variation (including variant waves) and may inflate smoothness. Please compute EI per COVID-year (Apr–Mar) by state, analyze variance across years, and show that the latitude relationship persists year by year. Sensitivity of results to this design choice should be presented (main text or Supplement).

- The paper summarizes timing with a single circular mean across years, but the distribution is explicitly biannual (summer and winter peaks). A single mean is not a sufficient statistic and can be misleading (means can land in troughs). Please report additional timing metrics: (a) circular dispersion, (b) separate peak weeks (summer/winter) per state/year, and (c) peak asymmetry (summer minus winter magnitude). Consider re-running the latitude regressions on these peak-specific outcomes.

- Equation (3) includes state, year, and week fixed effects—a good start—but more detail is needed. Please:

o Clarify whether two-way or three-way FE are included simultaneously (state FE + year FE + week-of-year FE). If week FE is common across years, it absorbs seasonality; then the climate effect is identified through deviations from the seasonal mean. Make this explicit and discuss implications.

o Justify bin choices (5°C, 3 g/kg) analytically (e.g., using information criteria or cross-validation) rather than aligning reference bins to visual troughs (risk of post-hoc selection).

o Show partial dependence plots with CIs and within-R² to emphasize within-state identification.

- For the GAM [Equation (4)], please specify the exact basis, knot placement, smoothing parameter selection (REML is noted), and present edf, χ²/F-tests, and residual diagnostics (ACF of residuals, concurvity).

- Weekly panel data will exhibit strong serial correlation. Clustering by state is necessary but not sufficient if residuals are highly persistent. Please report tests/plots of residual autocorrelation and repeat regressions with Driscoll–Kraay or Newey–West (panel) robust errors (or at least state-level AR(1) correction) to verify inference stability.

- Neighboring states share weather and mobility catchments; ignoring spatial autocorrelation can bias SEs and inflate significance. Perform Moran’s I on residuals and, if material, implement spatial HAC corrections or include region×week FE. Alternatively, estimate a spatial error model on state-level annual summaries as a sensitivity analysis.

- Summer/winter peaks in ED COVID percentages may be entangled with RSV/flu/enterovirus waves, school terms, AC/indoor time, wildfire smoke, or holiday periods. At a minimum, add controls for:

o Influenza and RSV ED indicators (or ILI/SARI proxies) by state-week.

o Mobility or policy stringency (the Discussion notes this as future work; it belongs in robustness today).

o School in/out of session indicators.

o Wildfire smoke (PM2.5) has affected recent summers, particularly those with smoke-affected conditions. Include these in sensitivity models to demonstrate that climate associations are not proxies for unmeasured seasonal behaviors.

- The booster covariate is treated as a single percentage; please specify the series (which booster definition? updated 2023/2024 formulations?), data cadence, and lag structure. Consider lagged vaccination and age-adjusted coverage, as state averages can mask significant age/uptake differences. Show that results are robust to alternative vaccination specifications and to inclusion of prior-wave burden as a proxy for immunity.

- The paper occasionally reads as if climate “drives” the dynamics of COVID-19. Given the observational design, please temper language to “is associated with” throughout the Abstract, Author Summary, Results, and Conclusion, and emphasize that climate may “modulate” transmission conditional on variant immune escape and behavior. The Discussion begins to do this, but still infers “amplify” in places. Tighten wording, please.

- Since Apr 2022 covers multiple Omicron sublineages with differing immune escape, please include period or variant-era indicators (or break the sample) and test for parameter stability (e.g., climate coefficients pre- vs post-XBB/BA.5 transitions). A figure that locates major lineage turnovers on the time axis would be helpful.

- The fixed-effects bins suggest a U-shape for humidity and a negative slope for temperature; the GAM surface then shows the highest predicted burden at the high-humidity/high-temperature corner for Florida and at cold/dry for Wisconsin. To avoid over-interpretation:

o Quantify uncertainty on the surface [e.g., contours of standard error of the mean (SEM) or bootstrap].

o Show the empirical distribution of (T, q) combinations (you plot a polygon of support; add heat-density so readers see where the model extrapolates).

o Report marginal effects of humidity at several temperature strata (and vice versa).

- Given literature heterogeneity (absolute vs. relative humidity, dew point, WBGT, humidex, specific enthalpy, UV), include a sensitivity table swapping relative humidity, dew point, and a solar/UV proxy (ERA5 clear-sky UV if available) to show that findings are not metric-dependent.

Minor comments

- Recommendations for figures:

o Fig 1: Note Wyoming data truncation explicitly in the caption.

o Fig 2: For heatmaps and grouped curves, include N(states) per subgroup and shaded uncertainty (e.g., state bootstraps).

o Fig 3: The caption has “Fig 3. Fig 3.” duplicated; fix. Overlay monthly points with error bars for Florida/Wisconsin and add a legend for the support polygon. Provide a color bar with units (log-percent ED COVID).

- Recommendations for reproducibility & data availability:

o The GitHub link and statement are helpful; please archive a frozen release (e.g., Zenodo or similar) with a DOI, include environment lockfiles (R version noted as 4.4.3; also pin package versions), and provide download scripts for the ERA5 and CDC series so that others can exactly reproduce your extraction window and state mappings.

o Clearly document which CDC endpoints were used, their as-of date, any backfill handling, and whether data revisions occurred during analysis.

- “N/A” is written in the Ethics Statement section. Because the analysis utilizes publicly available, aggregate surveillance data, add a sentence in the Methods section stating that the data are de-identified and publicly available, and that no human subjects review was required (cite the data sources).

- Ensure the funding statement appears verbatim in the manuscript Acknowledgments/Financial Disclosure as required by PLOS ONE.

- #5: Replace the “1.2 million deaths as of September 2025 [?]” citation placeholder with a verifiable source.

- Fix typos (e.g., “the the stringency index” in #191) and grammatical errors (e.g., “Data on COVID-19 vaccination data on the state level …” in #55 and #56 OR “becomes” in #128).

- In Materials and methods, clarify spatial aggregation: ERA5 0.25° grids → state-level averages (population-weighted or area-weighted?). Specify the state centroid source for latitude and whether Alaska/Hawaii were included or excluded.

- Please note missingness: e.g., Wyoming stopped reporting in 2025; describe how weeks with missing ED data are handled (listwise deletion? imputation?). Provide a completeness table by state×year.

**********

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Reviewer #1: Yes: Yutaro Akiyama

Reviewer #2: No

**********

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PLoS One. 2026 Feb 10;21(2):e0342510. doi: 10.1371/journal.pone.0342510.r003

Author response to Decision Letter 1


19 Dec 2025

We are thankful for the reviewers for raising some additional statistical and sensitivity analyses to strengthen the robustness of the findings. In response, we conducted a suite of robustness checks, including examining alternative outcome definitions and model specifications, and addressing potential sources of temporal and spatial bias. These analyses confirmed the stability of our primary results. We added four supplemental tables and three supplemental figures summarizing sensitivity analyses, model assumption checks, and annual state-level outbreak metrics. We believe these measures sketch out a more robust and comprehensive analysis investigating the association between climate factors and COVID-19 activity following the Omicron wave. Detailed, point-by-point responses are provided below.

Reviewer #1: The authors investigated the impact of climate patterns on COVID-19 outbreaks during the post-Omicron wave. The methods are appropriate, and the content is innovative. However, one point requires correction: the citation in Line 5 currently appears as “[?]” and should be fixed.

Thank you for noting this citation did not transfer, we have corrected it to link to the WHO COVID-19 dashboard, and is listed first in the references as: “COVID-19 deaths | WHO COVID-19 dashboard;. Available from: https://data.who.int/dashboards/covid19/cases.”

Reviewer #2: The manuscript analyzes U.S. state–level emergency department (ED) data (April 2022–March 2025) to describe post-Omicron COVID-19 seasonality and investigate associations with temperature and specific humidity using descriptive metrics (epidemic intensity and circular mean timing) and panel regressions/GAMs. It reports (i) a transparent latitudinal gradient in outbreak patterns and (ii) a U-shaped relationship between specific humidity and burden, with higher risk at both low and high values and lowest risk at intermediate humidity; temperature shows a more negative/monotone association overall. The analysis relies on public ED visit percentages from the CDC, ERA5 climate data, and state-level booster coverage, with figures summarizing temporal patterns and model-based response surfaces.

The topic is timely and suitable for PLOS ONE, and the dataset window (post-Omicron) is a strength. The manuscript offers a valuable post-Omicron perspective and clearly documents the geographic structure in COVID-19 ED patterns. However, several methodological decisions limit interpretability. With stronger attention to outcome denominators, serial/spatial dependence, bimodal timing, and potential confounders, in addition to fuller model transparency and robustness checks, the conclusions can be considered well-supported, and the claims about climate associations will be much more compelling and publication-ready.

Major comments

A. Using the percentage of ED visits with a COVID-19 diagnosis is defensible for mitigating testing/reporting artifacts. However, it is sensitive to changes in the ED case mix (e.g., heat waves, injuries, RSV/flu surges) that alter the denominator independent of COVID-19 transmission. Please:

Re-run key analyses with an incidence-style outcome (e.g., estimated COVID-related ED visits per 100k population, if derivable from the CDC series) and/or with the log ratio of COVID ED visits to a stable internal control (e.g., total respiratory visits).

At a minimum, control for state-week total ED volume (or include week×region fixed effects) to absorb denominator shifts. This control is crucial for interpreting the U-shape at high humidity/temperature in southern states, where summertime non-COVID ED volume is large.

Thank you for raising this important concern. To address potential denominator instability in the percentage of ED visits with a COVID-19 diagnosis, we re-estimated our primary GAM using an alternative outcome: the log ratio of weekly COVID-19 ED visits to weekly state-level ILI visits (CDC ILINet). ILI serves as a stable respiratory control that is much less likely to be affected by fluctuations in non-respiratory ED volume. We added one to ILI counts to accommodate zero-activity weeks. The revised GAM, identical to Equation 4 except for the outcome, produced highly consistent smooth terms for specific humidity and week (NEW Supplemental Table 1). The alternative model explained slightly more deviance (44.4% vs. 37.1%). These results indicate that our findings are robust to changes in denominator behavior.

(NEW) Supplemental Table 1. Comparison of climate smooth terms across outcome definitions: percentage of COVID ED visits (main model) vs. log ratio of COVID ED to ILI ED (robustness model).

B. EI is computed based on the mean weekly curve aggregated across April 2022 and March 2025. This collapses interannual variation (including variant waves) and may inflate smoothness. Please compute EI per COVID-year (Apr–Mar) by state, analyze variance across years, and show that the latitude relationship persists year by year. Sensitivity of results to this design choice should be presented (main text or Supplement).

This is an important point, as our original EI metric aggregated data across all COVID-years. In response, we recalculated EI separately for each COVID-year (Apr–Mar) and presented these results in NEW Supplemental Figure 2. Year-specific EI–latitude associations were generally consistent with the pooled estimates (Figure 1). The only exception was 2023-24, when strong winter peaks in northern states reduced the strength and significance of the association (p = 0.085). In both 2022-23 and 2024-25, latitude remained a strong, significant predictor (p <<< 0.001). These analyses demonstrate that the primary EI–latitude relationship is not an artifact of multi-year averaging.

(NEW) Supplemental Figure 2. Epidemic intensity calculated for each state and COVID-year in relation to latitude.

C. The paper summarizes timing with a single circular mean across years, but the distribution is explicitly biannual (summer and winter peaks). A single mean is not a sufficient statistic and can be misleading (means can land in troughs). Please report additional timing metrics: (a) circular dispersion, (b) separate peak weeks (summer/winter) per state/year, and (c) peak asymmetry (summer minus winter magnitude). Consider re-running the latitude regressions on these peak-specific outcomes.

We agree that the biannual structure of COVID-19 activity complicates interpretation of the mean case timing, which is typically most informative for pathogens with a single annual peak. Even so, we believe the mean case timing remains useful for indicating which peak - summer or winter - contributes more heavily to the annual distribution. States with more pronounced summer peaks tend to exhibit lower mean timing values, reflecting a greater concentration of cases during summer months. To contextualize this metric, we added an analysis of the winter-to-summer peak magnitude ratio for each COVID-year (NEW Supplemental Figure 2). Higher-latitude states exhibited larger winter-to-summer ratios, illustrating how relative peak strength varies geographically and across years. Together, these peak-ratio results complement and contextualize the mean case timing measure by illustrating how the relative strength of the two peaks shifts over time and across states.

(NEW) Supplemental Figure 3. Summer/Winter peak ratio for each state and COVID-year, where larger ratios indicate larger winter peaks relative to summer peaks.

D. Equation (3) includes state, year, and week fixed effects—a good start—but more detail is needed. Please:

Clarify whether two-way or three-way FE are included simultaneously (state FE + year FE + week-of-year FE). If week FE is common across years, it absorbs seasonality; then the climate effect is identified through deviations from the seasonal mean. Make this explicit and discuss implications.

Justify bin choices (5°C, 3 g/kg) analytically (e.g., using information criteria or cross-validation) rather than aligning reference bins to visual troughs (risk of post-hoc selection).

Show partial dependence plots with CIs and within-R² to emphasize within-state identification.

Thank you for the opportunity to clarify the fixed effects models. Yes, fixed effects are included simultaneously such that the effects of temperature and specific humidity are identified through deviations from the seasonal mean. This is now clarified in the text.

To assess whether results were sensitive to binning decisions, we repeated the fixed-effects analyses across nine alternative binning strategies (temperature bins of 2°C, 3°C, 4°C, and 5°C; specific humidity bins of 2, 3, and 4 g/kg). Across all specifications, AIC, BIC, and cross-validated RMSE varied by less than 4%, and the estimated effects of temperature and specific humidity remained directionally and substantively unchanged (NEW Supplemental Table 2). These results indicate that our chosen 5°C and 2 g/kg bins provide an appropriate balance of interpretability and statistical stability. Temperature followed an approximately normal distribution, while specific humidity exhibited a slight right-hand skew.

(NEW) Supplemental table 2: Sensitivity analyses to determine optimal temperature and specific humidity bin sizes.

Notably, we updated Figure 3a in the manuscript to include the updated bin sizes for specific humidity.

(UPDATED) Figure 3. Results from a binned fixed effects model assessing logged ED visits with a COVID-19 diagnosis. A. Results from the binned fixed effects model, showing a U-shaped relationship between specific humidity and logged ED visits, and a more linear relationship between temperature and logged ED visits. B. Surface plot indicating periods of predicted heightened COVID-19 activity from binned fixed effects model, where state-specific intercepts account for state-specific factors such as population density.

We included an updated partial dependence plot from the GAM to explore the marginal estimated effect of specific humidity on logged ED visits with at COVID-19 diagnosis, which is updated Supplemental Figure 3a (plot included in comment E response).

E. For the GAM [Equation (4)], please specify the exact basis, knot placement, smoothing parameter selection (REML is noted), and present edf, χ²/F-tests, and residual diagnostics (ACF of residuals, concurvity).

We appreciate the opportunity to elaborate and have now updated the GAM description to include more information. In the revised manuscript, we expanded the GAM description to specify spline bases, knot placement, smoothing parameter estimation (REML), and all inferential statistics. To address temporal autocorrelation, we added a cyclic cubic spline for epidemiologic week (s(week, bs=“cc”, k=20)), which enforces continuity across years. State fixed effects were included via factor(state). We now report edf, F-statistics, p-values, and concurvity metrics in NEW Supplemental Table 3 and provide full diagnostic plots in NEW Supplemental Figure 4. Diagnostics indicate approximate normality, minimal autocorrelation, and no major violations of model assumptions. We also added partial-effect plots for humidity and week (UPDATED Supplemental Figure 5).

(NEW) SI Table 3. GAM fit statistics.

Residual diagnostic plots, including residual vs. fitted, Q-Q plots, and the residual distribution, are included in (NEW) Supplemental Figure 4, confirming no remaining strong autocorrelation or systematic deviations from model assumptions. A Q-Q plot of deviance residuals (Supplemental Figure 4A) showed approximate normality with only minor tail deviations, indicating no major violations of distributional assumptions. Residuals had a normal distribution (Supplemental Figure 4B), and when plotted against the linear predictor (Supplemental Figure 4C) showed no systematic pattern or heteroskedasticity, indicating adequate mean-variance fit of the GAM. The response-fitted plot showed a positive linear association without systematic curvature (Supplemental Figure 4D), though with some residual variability, indicating that while the GAM captures broad mean patterns, climate factors alone explain only a modest share of week-to-week variation in ED visits with a COVID-19 diagnosis.

(NEW) Supplemental Figure 4. SI Diagnostic plots for the generalized additive model (Equation 4). A. Q-Q plot showing residuals largely following the theoretical normal distribution. B. Histogram of residuals, approximately symmetric and centered near zero. C. Residuals versus linear predictor, showing no major nonlinear patterns, with mild heteroskedasticity. D. Observed versus fitted values, indicating that fitted values span a narrower range than the observed log(ED visits). Together, these diagnostics support the adequacy of the model while motivating inclusion of state and cyclic week effects.

To interpret the shape and influence of the humidity spline, we present partial‐effect plots for the specific humidity and week-of-the-year spline terms for the generalized additive model (UPDATED Supplemental Figure 5).

(UPDATED) Supplemental Figure 5. Estimated smooth terms from the GAM including state and cyclic week effects. A. Specific humidity shows a nonlinear, U-shaped association with log(ED visits). B. The cyclic spline for week captures within-year seasonal structure. Solid lines represent fitted effects; dashed lines show 95% confidence intervals.

F. Weekly panel data will exhibit strong serial correlation. Clustering by state is necessary but not sufficient if residuals are highly persistent. Please report tests/plots of residual autocorrelation and repeat regressions with Driscoll–Kraay or Newey–West (panel) robust errors (or at least state-level AR(1) correction) to verify inference stability.

Thank you for bringing this to our attention, and we agree that weekly panel data can exhibit serial correlation. To address this, we re-estimated our model using Newey-West heteroskedasticity and autocorrelation (HAC) standard errors. We conducted a joint Wald test of the spline basis coefficients for both s(week_q) and s(week), and in both cases, the smooth terms remained statistically significant after the HAC correction, indicating that our primary inference remained robust to serial correlation. We report these HAC-adjusted tests with the GAM fit statistics in (NEW) Supplemental Table 3. Importantly, the initial conclusions of the GAM, being the strong nonlinear association between specific humidity and a nonsignificant linear effect of temperature, remain consistent under the HAC-robust analysis.

(NEW) SI Table 3. GAM fit statistics.

G. Neighboring states share weather and mobility catchments; ignoring spatial autocorrelation can bias SEs and inflate significance. Perform Moran’s I on residuals and, if material, implement spatial HAC corrections or include region×week FE. Alternatively, estimate a spatial error model on state-level annual summaries as a sensitivity analysis.

We appreciate the opportunity to look into potential spatial autocorrelation. We evaluated spatial autocorrelation in the state-level mean residuals from the GAM using global Moran’s I with border-or-corner adjacency (queen contiguity) weights (with 999 permutations). Moran’s I was -0.137 with a permutation p-value of 0.874, indicating no evidence of spatial clustering. This suggests that residual spatial dependence is minimal and does not substantially affect the findings. These results, combined with the inclusion of both state and week fixed effects and the Newey-West robust standard errors, indicate that our findings are stable to serial and spatial correlation.

H. Summer/winter peaks in ED COVID percentages may be entangled with RSV/flu/enterovirus waves, school terms, AC/indoor time, wildfire smoke, or holiday periods. At a minimum, add controls for:

Influenza and RSV ED indicators (or ILI/SARI proxies) by state-week.

Mobility or policy stringency (the Discussion notes this as future work; it belongs in robustness today).

School in/out of session indicators.

Wildfire smoke (PM2.5) has affected recent summers, particularly those with smoke-affected conditions. Include these in sensitivity models to demonstrate that climate associations are not proxies for u

Attachment

Submitted filename: PLOS ONE COVID Response to Reviewers.docx

pone.0342510.s014.docx (1.8MB, docx)

Decision Letter 1

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26 Jan 2026

Spatial patterns and environmental influences of COVID-19 outbreaks, post-Omicron

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Associated Data

    This section collects any data citations, data availability statements, or supplementary materials included in this article.

    Supplementary Materials

    S1 Fig. Weekly timeseries displaying the percentage of ED visits with a COVID-19 diagnosis per state for the study period.

    Most states had three years of complete data, while Wyoming stopped reporting in 2025 and thus only used data from April 2022 - March 2024. Each “COVID-19 year” has a different color to indicate the demarcation of the study period.

    (PNG)

    pone.0342510.s001.png (1.9MB, png)
    S2 Fig. Joint distribution of observed temperature and specific humidity values across all states in dataset.

    Warmer colors indicate more commonly observed temperature and specific humidity combinations.

    (PNG)

    pone.0342510.s002.png (255.8KB, png)
    S3 Fig. Epidemic intensity calculated for each state and COVID-year in relation to latitude.

    Color indicates year.

    (PNG)

    pone.0342510.s003.png (61.3KB, png)
    S4 Fig. Ratio of the Winter/Summer COVID-19 peak size per state.

    Winter/Summer peak ratio for each state and COVID-year, where larger ratios indicate larger summer peaks relative to winter peaks.

    (PNG)

    pone.0342510.s004.png (80.1KB, png)
    S5 Fig. Diagnostic plots for the generalized additive model (Eq 4).

    A. Q-Q plot showing residuals largely following the theoretical normal distribution. B. Histogram of residuals, approximately symmetric and centered near zero. C. Residuals versus linear predictor, showing no major nonlinear patterns, with mild heteroskedasticity. D. Observed versus fitted values, indicating that fitted values span a narrower range than the observed log(ED visits). Together, these diagnostics support the adequacy of the model while motivating inclusion of state and cyclic week effects.

    (PNG)

    S6 Fig. Estimated smooth terms from the GAM including state and cyclic week effects.

    A. Specific humidity shows a nonlinear, U-shaped association with log(ED visits). B. The cyclic spline for week captures within-year seasonal structure. Solid lines represent fitted effects; dashed lines show 95% confidence intervals.

    (PNG)

    pone.0342510.s006.png (276.3KB, png)
    S7 Fig. Results from a binned fixed effects model assessing logged ED visits with a COVID-19 diagnosis with specific humidity as a predictor.

    Results from the binned fixed effects model,showing a U-shaped relationship between specific humidity and logged ED visits.

    (PNG)

    pone.0342510.s007.png (91.4KB, png)
    S8 Fig. Marginal effect of specific humidity on the predicted logged ED visits with a COVID-19 diagnosis.

    Estimated marginal effects at temperatures of 0 °C, 10 °C, and 20 °C.

    (PNG)

    pone.0342510.s008.png (221.6KB, png)
    S1 Table. Comparison of climate smooth terms across outcome definitions: percentage of COVID-19 ED visits (main model) vs. log ratio of COVID-19 ED to ILI ED (robustness model).

    The direction, magnitude, and significance of humidity and seasonal smooths remain highly consistent across models, indicating robustness to denominator shifts in ED case mix.

    (XLSX)

    pone.0342510.s009.xlsx (9.2KB, xlsx)
    S2 Table. Model performance across temperature and specific humidity bin sizes.

    Sensitivity analyses to determine optimal temperature and specific humidity bin sizes. Temperature bins of 5C paired with specific humidity bins of 2g/kg yielded the lowest AIC and BIC values and were selected as bin sizes for the fixed effects models.

    (XLSX)

    S3 Table. Summary of smooth terms from the generalized additive model (GAM).

    Smooth term estimates from the GAM, showing model flexibility (EDF), reference degrees of freedom, and significance of the specific humidity- and week-related spline components.

    (XLSX)

    pone.0342510.s011.xlsx (9.1KB, xlsx)
    S4 Table. Sensitivity of GAM results to alternative humidity and temperature specifications.

    Across all models, the humidity smooth term remains highly significant, and model fit metrics vary minimally, demonstrating that the main climate associations are not sensitive to the choice of humidity measure.

    (XLSX)

    pone.0342510.s012.xlsx (9.3KB, xlsx)
    S5 Table. Quantifying the effects of specific humidity and temperature on COVID-19 burden, adjusting for the percentage of the population with a completed booster dose.

    After adjusting for the percentage of a state’s population who received a booster dose, we still find that higher weekly specific humidity is associated with heightened disease activity, along with lower temperature.

    (XLSX)

    pone.0342510.s013.xlsx (9.8KB, xlsx)
    Attachment

    Submitted filename: PLOS ONE COVID Response to Reviewers.docx

    pone.0342510.s014.docx (1.8MB, docx)

    Data Availability Statement

    Aggregated COVID-19 and climate data are publicly available. Code and data to run the analysis is available at https://github.com/aleksandrastamper/covid-seasonality. R was used for the statistical computing environment (version 4.4.3) to process, analyze, and visualize data.


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