Data last updated on Tue Mar 29 16:10 BST 2022. We define an area to be a hotspot X if weekly reported cases per 100,000 population exceed X. For past weeks we compare the reported cases to the threshold. For future weeks, we give probabilities based on our model, which assumes a situation in which no change in interventions (e.g. local lockdowns) occur. To define weeks we use specimen dates, ie the day on which tests are taken. We consider an area to have increasing new infections if our model estimates that the reproduction number R is greater than 1 with probability of at least 90%. “Likely increasing” indicates a probability between 75% and 90%. Decreasing and likely decreasing are defined analogously, but consider R less than 1.
Data last updated on Tue Mar 29 16:10 BST 2022. We define an area to be a hotspot X if weekly reported cases per 100,000 population exceed X. To define weeks we use specimen dates, ie the day on which tests are taken. Median and 90% credible interval for weekly cases and Rt can be viewed via the "Column Visibility" button. Colour code for P(hotspot): ■ 0.00 – 0.05 ■ 0.05 – 0.15 ■ 0.15 – 0.25 ■ 0.25 – 0.5 ■ 0.50 – 0.75 ■ 0.75 – 1.00. Colour code for P(R>1): ■ 0.00 – 0.1 ■ 0.1 – 0.25 ■ 0.25 – 0.75 ■ 0.75 – 0.90 ■ 0.90 – 1.00.
The results on this page have been computed using epidemia 1.0.0. Epidemia extends the Bayesian semi-mechanistic model proposed in Flaxman, S., Mishra, S., Gandy, A. et al. Nature 2020.
The model is based on a self-renewal equation which uses time-varying reproduction number \(R_{t}\) to calculate the infections. However, due to a lot of uncertainty around reported cases in early part of epidemics, we use reported deaths to back-calculate the infections as a latent variable. Then the model utilizes these latent infections together with probabilistic lags related to SARS-CoV-2 to calibrate against the reported deaths and the reported cases since the beginning of June 2020. A detailed mathematical description of the original model can be found here. The model used in this website is an evolution of this original model, incorporating randomness in the infections to account for areas with small number of infections.
\(R_{t}\) for each local authority is parameterized as a linear function of the \(R_t\) for its region/nation as a whole (which we fit too), and a random effect specific to the local authority for each week over the course of the epidemic. The weekly random effects are encoded as a random walk, where at each successive step the random effect has an equal chance of moving upward or downward. For regions/nations, only a region-specific weekly random walk is used.
Model Changes
A pre-print of our work is available here, A COVID-19 Model for Local Authorities of the United Kingdom.
You can find analysis for all 94 districts in Austria based on similar model here.
hotspot
if weekly cases per 100,000 population exceed 50.Change in new infections
gives the probability (chance) of new infections increasing or decreasing in the local authority.Weekly Cases per 100k [Date]
, in the Table
tab, show the reported number of cases per 100,000 population for the week specified by the Date
.P(hotspot) [Date]
shows the estimated probability of an area being a hotspot for the week specified by the Date
.P(R>1) [Date]
gives the probability of time varying reproduction number being greater than 1 for the week specified by the Date
.Data last updated on Tue Mar 29 16:10 BST 2022.
We aim to update the website every evening after the release of the public data. Updates are usually available by the morning.
Hotspots are areas that have more than X reported cases per 100,000 population.
In the map, we show the probability of an area being a hotspot in the next one, two and three weeks. The projections for hotspot assume no change in interventions and human behaviour since a week before the last observed data.
This is the probability of an area getting more than X cases per 100,000 population for the defined week.
Change in new infections shows how confident our model is about the time varying reproduction number (\(R_t\)) being greater than or less than one. We consider an area to have increasing new infections if our model estimates that the reproduction number R is greater than 1 with probability of at least 90%. Likely increasing indicates a probability between 75% and 90%. Decreasing and likely decreasing are defined analogously, but consider R less than 1.
This corresponds to the 'change in new infections' option on the Map. This is the probability of the reproduction number for the given week exceeding 1, which is the threshold of determining whether the number of cases will continue to grow (R>1) or not (R<1). For example, P(R>1)=50% means that there is an equal chance of the rate of new infections increasing as there is of it decreasing.
Becoming a hotspot is arguably more important, as it combines both the current state of the epidemic as well as it's future direction.
Whatever is on this website should be considered in conjunction with other more detailed evidence before making decisions. At best the website should be used to inform which areas to look at in more detail.
Generally, we think that the probability of becoming a hotspot is a more useful measure. R only gives an indication whether or not the number of new infections is increasing (R>1) or decreasing (R<1). If R is indeed above 1, and case numbers are low, then this could come down through effective track and trace and/or medical support, robust testing and behaviour change. It is more of a concern if case numbers are already higher.
The model for local authorities assumes that individuals, once infected, become immune. The effective reproduction number R gets adjusted in proportion to the number of individuals not immune. In a relatively small population, such as a local authority, these effects can be strongly visible in the projections.
The reproduction number in the model R can only change every week, giving jagged effects in estimated infections if there are large changes in the R.
The model assumes the population to be homogeneous, so it does not treat subpopulations separately. Hence, it is possible that a quick rise in cases in a subpopulation is coming to an end, overlaying what happens in the general population (where there might be a smaller rise). Eventually, the trend of the general population will likely reassert itself, so the decline could turn into an increase again.
The latest model estimates can be downloaded here.
The format is currently experimental and subject to change.
There are 9 fields in the csv. The names and details of each field are as follows:
The estimates of Rt over the time period the model is fitted to can be downloaded here. This is currently an experimental output - please treat with care
The format is currently experimental and subject to change.
There are 6 fields in the csv. The names and details of each field are as follows:
Authors: Swapnil Mishra1, Jamie Scott2, Harrison Zhu2, Neil Ferguson1, Samir Bhatt1, Seth Flaxman2, Axel Gandy2
1MRC Centre for Global Infectious Disease Analysis, Jameel Institute for Disease and Emergency Analytics, Imperial College London
2Department of Mathematics, Imperial College London
Website Development: Aided by Fabian Valka
For methodology please cite the accompnying pre-print, A COVID-19 Model for Local Authorities of the United Kingdom.
This research was partly funded by the The Imperial College COVID19 Research Fund.
If you use our outputs, please citeThe results, maps and figures shown on this website are licenced under a Attribution 4.0 International (CC BY 4.0) Licence.
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Corresponding Author
Axel Gandy
a.gandy@imperial.ac.uk
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