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, Dae Sung Yoo
Department of Veterinary Epidemiology, College of Veterinary Medicine, Chonnam National University, Gwangju, Korea
© 2025, Korean Society of Epidemiology
This is an open-access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Data availability
Approval for data use on goat and cattle populations was granted by the Livestock Health Control Association in South Korea.
Conflict of interest
The authors have no conflicts of interest to declare for this study.
Funding
This work was supported by Korea Institute of Planning and Evaluation for Technology in Food, Agriculture and Forestry (IPET) through High-Risk Animal Infectious Disease Control Technology Development Project, funded by Ministry of Agriculture, Food and Rural Affairs (MAFRA) (RS-2024-00399814) and by the “Regional Innovation System & Education (RISE)” through the Gwangju RISE Center, funded by the Ministry of Education (MOE) and the Gwangju Metropolitan Government, Republic of Korea (2025-RISE-05-011).
Acknowledgements
None.
Author contributions
Both authors contributed equally to conceiving the study, analyzing the data, and writing this paper.
| Periods | Independent variable2 | Coefficient | SE | p-value | AIC |
|---|---|---|---|---|---|
| 2015-2019 | Goat population (2016) | 46.52 | 11.80 | <0.01 | 3,605.5 |
| Cattle population (2016) | -1.36 | 1.46 | 0.35 | ||
| 2020-2024 | Goat population (2021) | 70.97 | 13.42 | <0.01 | 3,596.1 |
| Cattle population (2022) | 0.16 | 1.26 | 0.90 |
| Periods | Independent variable | OR (95% CrI)3 | Mean (95% CrI) |
|---|---|---|---|
| 2015-2019 | Goat population (2016)4 | 1.87 (1.23, 2.85) | - |
| Cattle population (2016)4 | 1.52 (0.98, 2.32) | - | |
| τ² | - | <0.01 (<0.01, <0.01) | |
| ρ | - | 0.75 (0.51, 0.92) | |
| 2020-2024 | Goat population (2021)4 | 2.33 (1.55, 3.64) | - |
| Cattle population (2022)4 | 1.18 (0.73, 1.83) | - | |
| τ² | - | <0.01 (<0.01, <0.01) | |
| ρ | - | 0.75 (0.51, 0.92) |
OR, odds ratio; CrI, credible interval.
1 The hotspots identified by Getis-Ord Gi* and the other regions are transformed into a binary variable, usually coded as 1 for the hotspots and 0 for the rest of the regions.
2 Model parameters of variables were estimated using the Leroux conditional autoregressive prior model with logit link function with spatial weight matrix where the neighborhood was defined as the area sharing a border; Diagnostics: four chains; effective sample sizes approximately 35,000-38,000 for most parameters; chain acceptance rates 44-48%; potential scale reduction factor (95% upper confidence bound)=1.00 for all parameters in both periods.
3 Obtained by exponentiating the estimated coefficients, i.e., eβ.
4 Calculated per 1,000 animals and standardized using a Z-score transformation.
| Statistics | Human population |
SIRs |
Goat population |
Cattle population |
||||
|---|---|---|---|---|---|---|---|---|
| 2017 | 2022 | 2015-2019 | 2020-2024 | 2016 | 2021 | 2016 | 2022 | |
| Scale | 1 Person | 1 Person | - | - | 1,000 Heads | 1,000 Heads | 1,000 Heads | 1,000 Heads |
| Mean | 205,690 | 206,769 | 187 | 181 | 1.79 | 1.46 | 13.79 | 16.26 |
| Median | 172,683 | 176,321 | 53.4 | 38.9 | 0.90 | 0.67 | 6.37 | 7.82 |
| SD | 163,037 | 168,815 | 374 | 358 | 2.33 | 1.97 | 17.93 | 20.92 |
| Min | 8,702 | 8,288 | 0 | 0 | 0 | 0 | 0 | 0 |
| Max | 845,514 | 931,472 | 3,428 | 2,712 | 13.76 | 11.92 | 116.62 | 104.62 |
| Periods | Independent variable |
Coefficient | SE | p-value | AIC |
|---|---|---|---|---|---|
| 2015-2019 | Goat population (2016) | 46.52 | 11.80 | <0.01 | 3,605.5 |
| Cattle population (2016) | -1.36 | 1.46 | 0.35 | ||
| 2020-2024 | Goat population (2021) | 70.97 | 13.42 | <0.01 | 3,596.1 |
| Cattle population (2022) | 0.16 | 1.26 | 0.90 |
| Periods | Independent variable | OR (95% CrI) |
Mean (95% CrI) |
|---|---|---|---|
| 2015-2019 | Goat population (2016) |
1.87 (1.23, 2.85) | - |
| Cattle population (2016) |
1.52 (0.98, 2.32) | - | |
| τ² | - | <0.01 (<0.01, <0.01) | |
| ρ | - | 0.75 (0.51, 0.92) | |
| 2020-2024 | Goat population (2021) |
2.33 (1.55, 3.64) | - |
| Cattle population (2022) |
1.18 (0.73, 1.83) | - | |
| τ² | - | <0.01 (<0.01, <0.01) | |
| ρ | - | 0.75 (0.51, 0.92) |
| Data types | Periods | Global Moran’s I | SD | p-value |
|---|---|---|---|---|
| SIR of human Q fever | 2015-2019 | 0.34 | 8.78 | <0.01 |
| 2020-2024 | 0.26 | 6.60 | <0.01 | |
| Hotspot variable by SIR of human Q fever | 2015-2019 | 0.47 | 11.68 | <0.01 |
| 2020-2024 | 0.38 | 9.35 | <0.01 | |
| Residuals from the SEM | 2015-2019 | 0.00 | 0.01 | 0.42 |
| 2020-2024 | 0.00 | 0.21 | 0.49 | |
| Residuals from the Leroux CAR model | 2015-2019 | 0.37 | 9.20 | <0.01 |
| 2020-2024 | 0.24 | 6.08 | <0.01 |
SIR, standardized incidence ratios; SD, standard deviation; Min, minimum; Max, maximum.
SIR, standardized incidence ratio; SE, standard error; AIC, Akaike information criterion. The area-specific SIR: the observed count of The populations were calculated per 1,000 animals.
OR, odds ratio; CrI, credible interval. The hotspots identified by Getis-Ord Gi* and the other regions are transformed into a binary variable, usually coded as 1 for the hotspots and 0 for the rest of the regions. Model parameters of variables were estimated using the Leroux conditional autoregressive prior model with logit link function with spatial weight matrix where the neighborhood was defined as the area sharing a border; Diagnostics: four chains; effective sample sizes approximately 35,000-38,000 for most parameters; chain acceptance rates 44-48%; potential scale reduction factor (95% upper confidence bound)=1.00 for all parameters in both periods. Obtained by exponentiating the estimated coefficients, i.e., Calculated per 1,000 animals and standardized using a Z-score transformation.
SD, standard deviation; SIR, standardized incidence ratio; SEM, spatial error model; CAR, conditional autoregressive. For all results shown in the table, the expected Moran’s I under spatial randomness was approximately -0.01.