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relocate time periods callout to problem section
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avallecam committed Mar 21, 2024
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Expand Up @@ -98,21 +98,6 @@ epinow_estimates <- epinow(
```
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## Find a Generation time

The generation time, jointly with the $R$, can inform about the speed of spread and its feasibility of control. Given a $R>1$, with a shorter generation time, cases can appear more quickly.

![Video from the MRC Centre for Global Infectious Disease Analysis, Ep 76. Science In Context - Epi Parameter Review Group with Dr Anne Cori (27-07-2023) at <https://youtu.be/VvpYHhFDIjI?si=XiUyjmSV1gKNdrrL>](fig/reproduction-generation-time.png)

In calculating the effective reproduction number ($R_{t}$), the *generation time* distribution is often approximated by the [serial interval](../learners/reference.md#serialinterval) distribution.
This frequent approximation is because it is easier to observe and measure the onset of symptoms than the onset of infectiousness.

![A schematic of the relationship of different time periods of transmission between an infector and an infectee in a transmission pair. Exposure window is defined as the time interval having viral exposure, and transmission window is defined as the time interval for onward transmission with respect to the infection time ([Chung Lau et al. 2021](https://academic.oup.com/jid/article/224/10/1664/6356465)).](fig/serial-interval-observed.jpeg)

However, using the *serial interval* as an approximation of the *generation time* is primarily valid for diseases in which infectiousness starts after symptom onset ([Chung Lau et al. 2021](https://academic.oup.com/jid/article/224/10/1664/6356465)). In cases where infectiousness starts before symptom onset, the serial intervals can have negative values, which is the case of a pre-symptomatic transmission ([Nishiura et al. (2020)](https://www.ijidonline.com/article/S1201-9712(20)30119-3/fulltext#gr2)).

Additionally, even if the *generation time* and *serial interval* have the same mean, their variance usually differs, propagating bias to the $R_{t}$ estimation. $R_{t}$ estimates are sensitive not only to the mean generation time but also to the variance and form of the generation interval distribution [(Gostic et al., 2020)](https://journals.plos.org/ploscompbiol/article?id=10.1371/journal.pcbi.1008409).

::::::::::::::::: callout

### From time periods to probability distributions.
Expand Down Expand Up @@ -148,6 +133,21 @@ Table: Serial interval estimates using Gamma, Weibull, and Log normal distributi

:::::::::::::::::::::::::

## Find a Generation time

The generation time, jointly with the $R$, can inform about the speed of spread and its feasibility of control. Given a $R>1$, with a shorter generation time, cases can appear more quickly.

![Video from the MRC Centre for Global Infectious Disease Analysis, Ep 76. Science In Context - Epi Parameter Review Group with Dr Anne Cori (27-07-2023) at <https://youtu.be/VvpYHhFDIjI?si=XiUyjmSV1gKNdrrL>](fig/reproduction-generation-time.png)

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[image missing alt-text]: fig/reproduction-generation-time.png

In calculating the effective reproduction number ($R_{t}$), the *generation time* distribution is often approximated by the [serial interval](../learners/reference.md#serialinterval) distribution.
This frequent approximation is because it is easier to observe and measure the onset of symptoms than the onset of infectiousness.

![A schematic of the relationship of different time periods of transmission between an infector and an infectee in a transmission pair. Exposure window is defined as the time interval having viral exposure, and transmission window is defined as the time interval for onward transmission with respect to the infection time ([Chung Lau et al. 2021](https://academic.oup.com/jid/article/224/10/1664/6356465)).](fig/serial-interval-observed.jpeg)

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[image missing alt-text]: fig/serial-interval-observed.jpeg

However, using the *serial interval* as an approximation of the *generation time* is primarily valid for diseases in which infectiousness starts after symptom onset ([Chung Lau et al. 2021](https://academic.oup.com/jid/article/224/10/1664/6356465)). In cases where infectiousness starts before symptom onset, the serial intervals can have negative values, which is the case of a pre-symptomatic transmission ([Nishiura et al. (2020)](https://www.ijidonline.com/article/S1201-9712(20)30119-3/fulltext#gr2)).

Additionally, even if the *generation time* and *serial interval* have the same mean, their variance usually differs, propagating bias to the $R_{t}$ estimation. $R_{t}$ estimates are sensitive not only to the mean generation time but also to the variance and form of the generation interval distribution [(Gostic et al., 2020)](https://journals.plos.org/ploscompbiol/article?id=10.1371/journal.pcbi.1008409).

::::::::::::::::::::::::::::::::: challenge

### Serial interval
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