Evaluating a novel reproduction number estimation method: a comparative analysis
Abstract This paper presents practical methodologies for determining effective reproduction numbers, R(t), providing valuable insights for researchers and public health officials. It proposes multiple simplified approaches for estimating R(t) of infectious diseases and compares their effectiveness....
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2025-02-01
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| Series: | Scientific Reports |
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| Online Access: | https://doi.org/10.1038/s41598-025-89203-w |
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| author | Katsuro Anazawa |
| author_facet | Katsuro Anazawa |
| author_sort | Katsuro Anazawa |
| collection | DOAJ |
| description | Abstract This paper presents practical methodologies for determining effective reproduction numbers, R(t), providing valuable insights for researchers and public health officials. It proposes multiple simplified approaches for estimating R(t) of infectious diseases and compares their effectiveness. These approaches include methods based on exponential, fixed (delta), normal, and gamma distributions for the generation time. The exponential and fixed generation time methods offer convenience as they rely solely on the mean generation time and the number of new infections. However, they are sensitive to the variance of the generation time distribution: the exponential method may underestimate R(t) when the variance is small, while the fixed generation time method may overestimate R(t) when the variance is large. The normal distribution method also risks underestimation, depending on the growth rate. In contrast, the gamma distribution method demonstrates greater robustness and accuracy across a variety of scenarios. A key contribution of this work is the consolidated presentation of these estimation methods, along with the novel derivation of an accurate R(t) formula based on the gamma distribution. This research offers practical guidance for selecting the most appropriate R(t) estimation method, emphasizing the importance of accounting for the specific characteristics of the infectious disease’s generation time distribution. |
| format | Article |
| id | doaj-art-dcd5897aa84246e6bbfa42aab1c5d50f |
| institution | Kabale University |
| issn | 2045-2322 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj-art-dcd5897aa84246e6bbfa42aab1c5d50f2025-08-20T03:47:13ZengNature PortfolioScientific Reports2045-23222025-02-0115111610.1038/s41598-025-89203-wEvaluating a novel reproduction number estimation method: a comparative analysisKatsuro Anazawa0Department of Natural Environmental Studies, Graduate School of Frontier Sciences, The University of TokyoAbstract This paper presents practical methodologies for determining effective reproduction numbers, R(t), providing valuable insights for researchers and public health officials. It proposes multiple simplified approaches for estimating R(t) of infectious diseases and compares their effectiveness. These approaches include methods based on exponential, fixed (delta), normal, and gamma distributions for the generation time. The exponential and fixed generation time methods offer convenience as they rely solely on the mean generation time and the number of new infections. However, they are sensitive to the variance of the generation time distribution: the exponential method may underestimate R(t) when the variance is small, while the fixed generation time method may overestimate R(t) when the variance is large. The normal distribution method also risks underestimation, depending on the growth rate. In contrast, the gamma distribution method demonstrates greater robustness and accuracy across a variety of scenarios. A key contribution of this work is the consolidated presentation of these estimation methods, along with the novel derivation of an accurate R(t) formula based on the gamma distribution. This research offers practical guidance for selecting the most appropriate R(t) estimation method, emphasizing the importance of accounting for the specific characteristics of the infectious disease’s generation time distribution.https://doi.org/10.1038/s41598-025-89203-wReproduction numberGeneration timeGamma distributionEuler–Lotka equationSARS-CoV-2 |
| spellingShingle | Katsuro Anazawa Evaluating a novel reproduction number estimation method: a comparative analysis Scientific Reports Reproduction number Generation time Gamma distribution Euler–Lotka equation SARS-CoV-2 |
| title | Evaluating a novel reproduction number estimation method: a comparative analysis |
| title_full | Evaluating a novel reproduction number estimation method: a comparative analysis |
| title_fullStr | Evaluating a novel reproduction number estimation method: a comparative analysis |
| title_full_unstemmed | Evaluating a novel reproduction number estimation method: a comparative analysis |
| title_short | Evaluating a novel reproduction number estimation method: a comparative analysis |
| title_sort | evaluating a novel reproduction number estimation method a comparative analysis |
| topic | Reproduction number Generation time Gamma distribution Euler–Lotka equation SARS-CoV-2 |
| url | https://doi.org/10.1038/s41598-025-89203-w |
| work_keys_str_mv | AT katsuroanazawa evaluatinganovelreproductionnumberestimationmethodacomparativeanalysis |