Package 'growthrates'

Title: Estimate Incidence, Proportions and Exponential Growth Rates
Description: Simple statistical models and visualisations for calculating the incidence, proportion, exponential growth rate, and reproduction number of infectious disease case timeseries. This toolkit was largely developed during the COVID-19 pandemic.
Authors: Robert Challen [aut, cre]
Maintainer: Robert Challen <[email protected]>
License: MIT + file LICENSE
Version: 0.2.0
Built: 2024-11-18 04:29:47 UTC
Source: https://github.com/bristol-vaccine-centre/growthrates

Help Index


Convert time period to dates

Description

Convert time period to dates

Usage

## S3 method for class 'time_period'
as.Date(x, ...)

## S3 method for class 'time_period'
as.POSIXct(x, ...)

Arguments

x

a time_period

...

not used

Value

a vector of dates representing the start of each of the input time_period entries

Functions

  • as.POSIXct(time_period): Convert to a vector of POSIXct


Convert to a time period class

Description

Time periods are just a zero based numeric representation of dates with a time unit baked in. This allows variable length periods (e.g. days or weeks), and fractional days to be represented in a consistent(ish) way

Usage

as.time_period(x, unit = NULL, start_date = NULL, anchor = NULL, ...)

## S3 method for class 'time_period'
c(..., recursive = F)

## S3 method for class 'time_period'
x[...]

## S3 replacement method for class 'time_period'
x[...] <- value

## S3 method for class 'time_period'
x[[...]]

## S3 replacement method for class 'time_period'
x[[...]] <- value

is.time_period(x)

## S3 method for class 'time_period'
print(x, ...)

Arguments

x

a vector of numbers (may be integer or real) or a time_period

unit

the length of one unit of time. This will be either a integer number of days, or a specification such as "1 week", or another time_period. If x is a time_period, and the unit is different then from that of x this will return a new time_period using the new units.

start_date

the zero time date as something that can be coerced to a date. If the x input is already a time_period and this is different to its start_date then it will be recalibrated to use the new start date.

anchor

only relevant is x is a vector of dates and start_date is not specified, this is a date, or "start" or "end" or a weekday name e.g. "mon". With the vector of dates in x it will find a reference date for the time-series. If this is NULL and start_date is also NULL it will fall back to getOption("day_zero","2019-12-29")

...

used for subtype implementations

recursive

concatenate recursively

value

the value

Value

a time_period class, consisting of a vector of numbers, with attributes for time period and start_date

Functions

  • c(time_period): Combine time_period

  • [: Subset a time_period

  • `[`(time_period) <- value: Assign values to a subset of a time_period

  • [[: Get a value in a time_period

  • `[[`(time_period) <- value: Assign a value in a time_period

  • is.time_period(): Check is a time_period

  • print(time_period): Print a time_period

Examples

# 100 weeks from 2020-01-01

tmp = as.time_period(0:100, 7, "2020-01-01")
as.Date(tmp)

range(tmp)
min(tmp)
tmp2 = as.integer(as.Date(tmp))
# testthat::expect_true(all(na.omit(tmp2-lag(tmp2)) == 7))

tmp2 = as.time_period(0:23, 1/24, "2020-01-01")
as.POSIXct(tmp2)

# convert timeseries to new "unit"
tmp = as.time_period(0:100, 7, "2020-01-01")
tmp2 = as.time_period(tmp,1)
testthat::expect_equal(as.numeric(tmp2), 0:100*7)

A scales breaks generator for log1p scales

Description

A scales breaks generator for log1p scales

Usage

breaks_log1p(n = 5, base = 10)

Arguments

n

the number of breaks

base

the base for the breaks

Value

a function for ggplot scale breaks

Examples

ggplot2::ggplot(ggplot2::diamonds, ggplot2::aes(x=price))+
  ggplot2::geom_density()+
  ggplot2::scale_x_continuous(trans="log1p", breaks=breaks_log1p())

The covid_infectivity_profile dataframe structure specification

Description

The covid_infectivity_profile dataframe structure specification

Format

A dataframe containing the following columns:

  • boot (anything) - a bootstrap identifier

  • time (positive_double) - the end of the time period (in days)

  • probability (proportion) - the probability of infection between previous time period until time

Must be grouped by: boot (exactly).

A default value is defined.


Places a set of dates within a regular time series

Description

The counterpart to date_seq_dates(). Take an original set of data and place it within a regular time series where the periodicity of the time series may be expressed as numbers of days, weeks, months quarters, or years, and the periods are defined by an anchoring date, day of the week or by reference to the start or end of the input dates. This can either return the periods as dates or factors (e.g. for plotting) or as a time_period for analysis that relies on a numeric representation of the date or duration from the anchor.

Usage

cut_date(
  dates,
  unit,
  anchor = "start",
  output = c("date", "factor", "time_period"),
  dfmt = "%d/%b/%y",
  ifmt = "{start} — {end}",
  ...
)

Arguments

dates

a set of dates

unit

a period e.g. "1 week"

anchor

one of a date, "start" or "end" or a weekday name e.g. "mon" this will always be one of the start of the time periods we are cutting into

output

return the result as either a "date" (the default), an ordered "factor" with the date ranges as a label, or as a "time_period". The result is named with labels referring to the

dfmt

the strptime format for the dates in the labels

ifmt

a sprintf format for the period label containing ⁠%s⁠ exactly twice.

...

ignored

Value

a set of dates, times or a factor level, representing the start of the period the date falls into, where the period is defined by the duration and the anchor

Examples

dates = as.Date(c("2020-01-01","2020-02-01","2020-01-15","2020-02-03",NA))
fs = growthrates::date_seq(dates, "2 days")
dates - cut_date(dates, "2 days")
cut_date(dates,unit="2 days", output="time_period")

# A weekly set of dates:
dates2 = Sys.Date() + floor(stats::runif(50,max=10))*7

# in this specific situation the final date is not truncated because the
# input data is seen as an exact match for the whole output period.
cut_date(dates2, "1 week", "sun", output="factor")
cut_date(dates2, dfmt = "%d/%b", output="factor", unit = "2 weeks", anchor="sun")

Create the full sequence of values in a vector

Description

This is useful if you want to fill in missing values that should have been observed but weren't. For example, date_seq(c(1, 2, 4, 6), 1) will return 1:6.

Usage

date_seq(x, period, ...)

Arguments

x

a numeric or date vector

period

Gap between each observation. The existing data will be checked to ensure that it is actually of this periodicity.

...

for subtype methods

Value

a vector of the same type as the input

Examples

date_seq(c(1, 2, 4, 5, 10), 1)

Expand a date vector to the full range of possible dates

Description

Derive from a vector of observation dates, a complete ordered sequence of periods in a regular time series, where the length of the periods is specified, as a number od days, weeks, years etc. E.g. this can convert a random set of dates to a ordered complete list of 1 week intervals (or 2 month intervals) spanning the same range as the dates. This has some interesting problems regarding where to put breaks within a month or week. Often this is either based on a specific date (e.g. yearly periods starting at 2020-01-01) or a day of week (e.g. 2 weekly periods staring on a sunday) or maybe relative to the input time series (weekly ending on the last date of the data). There is also a problem when we consider data that may have incomplete starting and end periods, which may not be comparable to other periods, and we may need to exclude these from the result.

Usage

## S3 method for class 'Date'
date_seq(x, period = .day_interval(x), anchor = "start", complete = FALSE, ...)

Arguments

x

a vector of dates, possibly including NA values

period

the gap between observations as a number of days or as a natural language definition of the period such as "1 week", '2 weeks', '1 month', etc. If not given this will be derived from the dates.

anchor

defines a day that appears in the sequence (if it were to extend that far). Given either as a date, or "start", "end" or a day of the week, e.g. "mon".

complete

truncate incomplete start and end periods

...

ignored

Value

a vector of dates for regular periods between the minimum and maximum of dates, with the boundaries defined by the anchor.

Examples

date_seq(as.Date(c("2020-01-01","2020-02-01","2020-01-15","2020-02-01",NA)), "2 days")

Create the full sequence of values in a vector

Description

This is useful if you want to fill in missing values that should have been observed but weren't. For example, date_seq(c(1, 2, 4, 6), 1) will return 1:6.

Usage

## S3 method for class 'numeric'
date_seq(x, period = 1, tol = 1e-06, ...)

Arguments

x

a numeric or date vector

period

Gap between each observation. The existing data will be checked to ensure that it is actually of this periodicity.

tol

Numerical tolerance for checking periodicity.

...

for subtype methods

Value

a vector of the same type as the input

Examples

date_seq(c(1, 2, 4, 5, 10), 1)

Expand a time_period vector to the full range of possible times

Description

Derive from a vector of observation time_periods, a complete ordered sequence of periods in a regular time series, where the length of the periods is specified, as a number of days, weeks, years etc. E.g. this can convert a random set of times to a ordered complete list of 1 week intervals (or 2 month intervals) spanning the same range as the dates. This has some interesting problems regarding where to put breaks within a month or week. Often this is either based on a specific date (e.g. yearly periods starting at 2020-01-01) or a day of week (e.g. 2 weekly periods staring on a sunday) or maybe relative to the input time series (weekly ending on the last date of the data). There is also a problem when we consider data that may have incomplete starting and end periods, which may not be comparable to other periods, and we may need to exclude these from the result.

Usage

## S3 method for class 'time_period'
date_seq(x, period = attributes(x)$unit, complete = FALSE, ...)

Arguments

x

a time period vector

period

the gap between observations as a number of days or as a natural language definition of the period such as "1 week", '2 weeks', '1 month', etc. If not given this will be derived from the dates.

complete

truncate incomplete start and end periods

...

ignored

Value

a vector of time_periods for regular periods between the minimum and maximum of dates, with the boundaries defined by the anchor.

Examples

tmp = as.time_period(c(0,10,100), 7, "2020-01-01")
date_seq(tmp, "7 days")

Convert a set of dates to numeric timepoints

Description

Using a start_date and a unit specification

Usage

date_to_time(
  dates,
  unit = .day_interval(dates),
  start_date = getOption("day_zero", "2019-12-29")
)

Arguments

dates

a vector of dates to convert

unit

a specification of the unit of the resulting time series. Will be determined from periodicity of dates if not specified. If another time_period is given as the unit then the

start_date

the origin of the conversion. Defaults to the beginning of the COVID pandemic

Value

a vector of class time_period

Examples

times = date_to_time(as.Date("2019-12-29")+0:100, "1 week")
dates = time_to_date(times)

Doubling time from growth rate

Description

The unit of doubling times is always days.

Usage

doubling_time(x, ...)

Arguments

x

a dataframe calculated from either proportion or incidence growth rate calculations:

e.g. A dataframe containing the following columns:

  • time (as.time_period + group_unique) - A (usually complete) set of singular observations per unit time as a time_period

  • incidence.fit (double) - an estimate of the incidence rate on a log scale

  • incidence.se.fit (double) - the standard error of the incidence rate estimate on a log scale

  • incidence.0.025 (positive_double) - lower confidence limit of the incidence rate (true scale)

  • incidence.0.5 (positive_double) - median estimate of the incidence rate (true scale)

  • incidence.0.975 (positive_double) - upper confidence limit of the incidence rate (true scale)

  • growth.fit (double) - an estimate of the growth rate

  • growth.se.fit (double) - the standard error the growth rate

  • growth.0.025 (double) - lower confidence limit of the growth rate

  • growth.0.5 (double) - median estimate of the growth rate

  • growth.0.975 (double) - upper confidence limit of the growth rate

No mandatory groupings.

No default value.

OR

A dataframe containing the following columns:

  • time (as.time_period + group_unique) - A (usually complete) set of singular observations per unit time as a time_period

  • proportion.fit (double) - an estimate of the proportion on a logit scale

  • proportion.se.fit (double) - the standard error of proportion estimate on a logit scale

  • proportion.0.025 (proportion) - lower confidence limit of proportion (true scale)

  • proportion.0.5 (proportion) - median estimate of proportion (true scale)

  • proportion.0.975 (proportion) - upper confidence limit of proportion (true scale)

  • relative.growth.fit (double) - an estimate of the relative growth rate

  • relative.growth.se.fit (double) - the standard error the relative growth rate

  • relative.growth.0.025 (double) - lower confidence limit of the relative growth rate

  • relative.growth.0.5 (double) - median estimate of the relative growth rate

  • relative.growth.0.975 (double) - upper confidence limit of the relative growth rate

No mandatory groupings.

No default value.

...

not used

Value

the same dataframe with additional columns for doubling time or relative doubling time plus confidence intervals.

Examples

growthrates::england_covid %>%
  growthrates::poisson_locfit_model(window=21) %>%
  growthrates::doubling_time() %>%
  dplyr::glimpse()

The SPI-M-O England consensus growth rate

Description

SPI-M-O used a range of different statistical and mechanistic models to produce estimates of the growth rate of the epidemic from various data sources (including with an early version of growthrates).

Usage

data(england_consensus_growth_rate)

Format

A dataframe containing the following columns:

  • date (date) - the date of the estimate

  • low (numeric) - the lower published estimate of the growth rate

  • high (numeric) - the higher published estimate of the growth rate

No mandatory groupings.

No default value.

111 rows and 3 columns


The SPI-M-O England consensus reproduction number

Description

SPI-M-O used a range of different statistical and mechanistic models to produce estimates of the reproduction number of the epidemic from various data sources.

Usage

data(england_consensus_rt)

Format

A dataframe containing the following columns:

  • date (date) - the date of the estimate

  • low (numeric) - the lower published estimate of the reproduction number

  • high (numeric) - the higher published estimate of the reproduction number

No mandatory groupings.

No default value.

113 rows and 3 columns


Daily COVID-19 case counts by age group in England

Description

A dataset of the daily count of covid cases by age group in England downloaded from the UKHSA coronavirus API, and formatted for use in growthrates. A denominator is calculated which is the overall positive count for all age groups. This data set can be used to calculate group-wise incidence and absolute growth rates and group wise proportions and relative growth rates.

Usage

data(england_covid)

Format

A dataframe containing the following columns:

  • date (as.Date) - the date column

  • class (enum(⁠00_04⁠,⁠05_09⁠,⁠10_14⁠,⁠15_19⁠,⁠20_24⁠,⁠25_29⁠,⁠30_34⁠,⁠35_39⁠,⁠40_44⁠,⁠45_49⁠,⁠50_54⁠,⁠55_59⁠,⁠60_64⁠,⁠65_69⁠,⁠70_74⁠,⁠75_79⁠,⁠80_84⁠,⁠85_89⁠,⁠90+⁠)) - the class column

  • count (numeric) - the test positives for each age group

  • denom (numeric) - the test positives for all age groups

  • time (as.time_period) - the time column

Must be grouped by: class (and other groupings allowed).

No default value.

26790 rows and 5 columns


England COVID-19 PCR test positivity

Description

The coronavirus.gov.uk dashboard published tests conducted and positive results as separate data sets for a range of geographies. In this case the data is combined with testing rate as denominator, and positives as count for England.

Usage

data(england_covid_pcr_positivity)

Format

A dataframe containing the following columns:

  • date (date) - a daily time series

  • time (as.time_period) - the time column

  • count (numeric) - test positives in England on that day

  • denom (numeric) - total tests conducted on that day

No mandatory groupings.

No default value.

1413 rows and 4 columns


England COVID by age group for ascertainment

Description

An age group stratified dataset from

Usage

data(england_covid_proportion)

Format

A dataframe containing the following columns:

  • class (character) - the age group

  • date (date) - the start date of a week

  • count (numeric) - the count of COVID positives

  • denom (numeric) - the number of COVID tests performed

  • population (numeric) - the size of the population at this age group

  • time (as.time_period) - the time column (weekly)

Must be grouped by: class (and other groupings allowed).

No default value.

1050 rows and 6 columns

Details

  • the coronavirus.gov.uk site for positive cases aggregated to 10 year age groups and by weekly time.

  • NHS test and trace date which reported regional by age group testing effort aggregated to country level.

  • ONS 2021 census population aggregated to 10 year age groups.


England demographics

Description

Population counts by 5 year age group for England only from the 2021 census.

Usage

data(england_demographics)

Format

A dataframe containing the following columns:

  • class (enum(⁠00_04⁠,⁠05_09⁠,⁠10_14⁠,⁠15_19⁠,⁠20_24⁠,⁠25_29⁠,⁠30_34⁠,⁠35_39⁠,⁠40_44⁠,⁠45_49⁠,⁠50_54⁠,⁠55_59⁠,⁠60_64⁠,⁠65_69⁠,⁠70_74⁠,⁠75_79⁠,⁠80_84⁠,⁠85_89⁠,⁠90+⁠)) - the class column

  • population (numeric) - the population count column

  • baseline_proportion (numeric) - the baseline proportion is the proportion this age group makes up of the total.

Must be grouped by: class (and other groupings allowed).

No default value.

19 rows and 3 columns

Source

https://www.ons.gov.uk/file?uri=/peoplepopulationandcommunity/populationandmigration/populationestimates/datasets/populationandhouseholdestimatesenglandandwalescensus2021/census2021/census2021firstresultsenglandwales1.xlsx


Key dated in the COVID-19 response in England

Description

This includes mainly the dates of lockdowns, releases from social distancing measures and the dates that new variants were first detected.

Usage

data(england_events)

Format

A dataframe containing the following columns:

  • label (character) - the event label

  • start (date) - the event start date

  • end (date) - the (optional) event end date

No mandatory groupings.

No default value.

13 rows and 3 columns


NHS COVID-19 app data

Description

check-in (social activity) and alerts (self isolation instruction) data from the NHS COVID-19 app, aggregated to country level on a week by week basis.

Usage

data(england_nhs_app)

Format

A dataframe containing the following columns:

  • date (date) - the start date of the week

  • alerts (integer) - the count of self-isolation alerts

  • visits (integer) - the number of venue check-ins representing visits to social venues.

  • time (as.time_period) - the time column

No mandatory groupings.

No default value.

137 rows and 4 columns


The england_ons_infection_survey dataset

Description

The COVID-19 ONS infection survey took a random sample of the population and provides an estimate of the prevalence of COVID-19 that is supposedly free from ascertainment bias.

Usage

data(england_ons_infection_survey)

Format

A dataframe containing the following columns:

  • date (date) - the date column

  • geography (character) - the geography column

  • proportion.0.5 (numeric) - the median proportion of people in the region testing positive for COVID-19

  • proportion.0.025 (numeric) - the lower CI of the proportion of people in the region testing positive for COVID-19

  • proportion.0.975 (numeric) - the upper CI of the proportion of people in the region testing positive for COVID-19

  • denom (integer) - the sample size on which this estimate was made (daily rate inferred from weekly sample sizes.)

  • time (as.time_period) - the time column

No mandatory groupings.

No default value.

9820 rows and 7 columns

Details

The data is available here: https://www.ons.gov.uk/file?uri=/peoplepopulationandcommunity/healthandsocialcare/conditionsanddiseases/datasets/coronaviruscovid19infectionsurveydata/2023/20230310covid19infectionsurveydatasetsengland.xlsx


Counts of COVID-19 variants

Description

Data from the COG-UK and Sanger centre sequencing programme. The data were made available through the Welcome foundation at Lower tier local authority level, and is weekly timeseries of counts per variant. Variants were assigned using the tree structure of the Pango lineage. Different sub-lineages are aggregated to the major WHO variants of concern.

Usage

data(england_variants)

Format

A dataframe containing the following columns:

  • date (date) - the end date of the week

  • time (as.time_period) - the time column

  • class (enum(Other,Alpha (B.1.1.7),Delta (B.1.617.2),Delta (AY.4),Omicron (Other),Omicron (BA.2),Omicron (BA.4),Omicron (BA.5),XBB (Other),Kraken (XBB.1.5),Arcturus (XBB.1.16),Eris (EG.5.1))) - the class column

  • who_class (enum(Other,Alpha,Delta,Omicron,Kraken,Arcturus,Eris)) - the who_class column

  • count (numeric) - the weekly count column

  • denom (numeric) - the number of sequences performed in that week

Must be grouped by: class (and other groupings allowed).

No default value.

479 rows and 6 columns


Format date as dmy

Description

Format date as dmy

Usage

fdmy(date)

Arguments

date

a date to convert

Value

the formatted date

Examples

fdmy(Sys.Date())

Add time series event markers to a timeseries plot.

Description

The x axis must be a date.

Usage

geom_events(
  events = i_events,
  event_label_size = 7,
  event_label_colour = "black",
  event_label_angle = -30,
  event_line_colour = "grey50",
  event_fill_colour = "grey50",
  hide_labels = FALSE,
  guide_axis = ggplot2::derive(),
  ...
)

Arguments

events

Significant events or time spans

A dataframe containing the following columns:

  • label (character) - the event label

  • start (date) - the start date, or the date of the event

  • end (date) - the end date or NA if a single event

No mandatory groupings.

A default value is defined.

event_label_size

how big to make the event label

event_label_colour

the event label colour

event_label_angle

the event label colour

event_line_colour

the event line colour

event_fill_colour

the event area fill

hide_labels

do not show labels at all

guide_axis

a guide axis configuration for the labels (see ggplot2::guide_axis and ggplot2::dup_axis). This can be used to specify a position amongst other things.

...

Arguments passed on to ggplot2::scale_x_date

name

The name of the scale. Used as the axis or legend title. If waiver(), the default, the name of the scale is taken from the first mapping used for that aesthetic. If NULL, the legend title will be omitted.

breaks

One of:

  • NULL for no breaks

  • waiver() for the breaks specified by date_breaks

  • A Date/POSIXct vector giving positions of breaks

  • A function that takes the limits as input and returns breaks as output

date_breaks

A string giving the distance between breaks like "2 weeks", or "10 years". If both breaks and date_breaks are specified, date_breaks wins. Valid specifications are 'sec', 'min', 'hour', 'day', 'week', 'month' or 'year', optionally followed by 's'.

labels

One of:

  • NULL for no labels

  • waiver() for the default labels computed by the transformation object

  • A character vector giving labels (must be same length as breaks)

  • An expression vector (must be the same length as breaks). See ?plotmath for details.

  • A function that takes the breaks as input and returns labels as output. Also accepts rlang lambda function notation.

date_labels

A string giving the formatting specification for the labels. Codes are defined in strftime(). If both labels and date_labels are specified, date_labels wins.

minor_breaks

One of:

  • NULL for no breaks

  • waiver() for the breaks specified by date_minor_breaks

  • A Date/POSIXct vector giving positions of minor breaks

  • A function that takes the limits as input and returns minor breaks as output

date_minor_breaks

A string giving the distance between minor breaks like "2 weeks", or "10 years". If both minor_breaks and date_minor_breaks are specified, date_minor_breaks wins. Valid specifications are 'sec', 'min', 'hour', 'day', 'week', 'month' or 'year', optionally followed by 's'.

limits

One of:

  • NULL to use the default scale range

  • A numeric vector of length two providing limits of the scale. Use NA to refer to the existing minimum or maximum

  • A function that accepts the existing (automatic) limits and returns new limits. Also accepts rlang lambda function notation. Note that setting limits on positional scales will remove data outside of the limits. If the purpose is to zoom, use the limit argument in the coordinate system (see coord_cartesian()).

expand

For position scales, a vector of range expansion constants used to add some padding around the data to ensure that they are placed some distance away from the axes. Use the convenience function expansion() to generate the values for the expand argument. The defaults are to expand the scale by 5% on each side for continuous variables, and by 0.6 units on each side for discrete variables.

oob

One of:

  • Function that handles limits outside of the scale limits (out of bounds). Also accepts rlang lambda function notation.

  • The default (scales::censor()) replaces out of bounds values with NA.

  • scales::squish() for squishing out of bounds values into range.

  • scales::squish_infinite() for squishing infinite values into range.

guide

A function used to create a guide or its name. See guides() for more information.

position

For position scales, The position of the axis. left or right for y axes, top or bottom for x axes.

Value

a set of geoms for a timeseries.


Weekly COVID-19 case counts by age group in Germany

Description

A dataset of the weekly count of covid cases by age group in Germany downloaded from the Robert Koch Institute Survstat service, and formatted for use in growth rates. A denominator is calculated which is the overall positive count for all age groups. This data set can be used to calculate group-wise incidence and absolute growth rates and group wise proportions and relative growth rates.

Usage

data(germany_covid)

Format

A dataframe containing the following columns:

  • class (enum(⁠0–14⁠,⁠15–19⁠,⁠20–24⁠,⁠25–29⁠,⁠30–39⁠,⁠40–49⁠,⁠50–59⁠,⁠60–69⁠,⁠70–79⁠,⁠80+⁠,Unknown, .ordered=TRUE)) - the age group

  • date (as.Date) - the date column

  • count (integer) - the test positives for each age group

  • time (as.time_period) - the time column

  • denom (integer) - the test positives for all age groups

Must be grouped by: class (and other groupings allowed).

No default value.

2070 rows and 6 columns


Germany demographics

Description

Derived from the Robert Koch Survstat service by comparing counts and incidence rates.

Usage

data(germany_demographics)

Format

A dataframe containing the following columns:

  • class (enum(⁠0–14⁠,⁠15–19⁠,⁠20–24⁠,⁠25–29⁠,⁠30–39⁠,⁠40–49⁠,⁠50–59⁠,⁠60–69⁠,⁠70–79⁠,⁠80+⁠, .ordered=TRUE)) - the class column

  • population (integer) - the population column

Must be grouped by: class (and other groupings allowed).

No default value.

10 rows and 2 columns


Check whether vector is a date

Description

Check whether vector is a date

Usage

is.Date(x)

Arguments

x

a vector to check

Value

TRUE if dates, FALSE otherwise

Examples

is.Date(Sys.Date())

Label a time period

Description

Create a set of labels for a time period based on the start and duration of the period. The format is configurable using the start and end dates and the dfmt and ifmt parameters, however if the time period has names then these are used in preference.

Usage

## S3 method for class 'time_period'
labels(
  object,
  ...,
  dfmt = "%d/%b",
  ifmt = "{start} — {end}",
  na.value = "Unknown"
)

Arguments

object

a set of decimal times as a time_period

...

not used

dfmt

a strptime format specification for the format of the date

ifmt

a glue spec referring to start and end of the period as a formatted date

na.value

a label for NA times

Value

a set of character labels for the time

Examples

eg = as.time_period(Sys.Date()+0:10*7, anchor="start")
labels(eg)
labels(eg, ifmt="{start}", dfmt="%d/%b/%y")
labels(eg, ifmt="until {end}", dfmt="%d %b %Y")

# labels retained in constructor:
eg2 = Sys.Date()+0:10*7
names(eg2) = paste0("week ",0:10)
labels(eg2)
labels(as.time_period(eg2, anchor="start"))

logit scale

Description

Perform logit scaling with correct axis formatting. To not be used directly but with ggplot (e.g. ggplot2::scale_y_continuous(trans = "logit") )

Usage

logit_trans(n = 5, ...)

Arguments

n

the number of breaks

...

not used, for compatibility

Value

A scales object

Examples

library(ggplot2)
library(tibble)

tibble::tibble(pvalue = c(0.001, 0.05, 0.1), fold_change = 1:3) %>%
 ggplot2::ggplot(aes(fold_change , pvalue)) +
 ggplot2::geom_point() +
 ggplot2::scale_y_continuous(trans = "logit")

The maximum of a set of dates

Description

max.Date returns an integer and -Inf for a set of NA dates. This is usually inconvenient.

Usage

max_date(x, ...)

Arguments

x

a vector of dates

...

ignored

Value

a date. '0001-01-01“ if there is no well defined minimum.

Examples

max_date(NA)

The minimum of a set of dates

Description

min.Date returns an integer and Inf for a set of NA dates. This is usually inconvenient.

Usage

min_date(x, ...)

Arguments

x

a vector of dates

...

ignored

Value

a date. 9999-12-31 if there is no well defined minimum.

Examples

min_date(NA)

Multinomial time-series model.

Description

Takes a list of times, classes and counts, e.g. a COGUK variant like data set with time, (multinomial) class (e.g. variant) and count being the count in that time period. Fits a quadratic B-spline on time to the proportion of the data using nnet::multinom, with approx one degree of freedom per class and per window units of the time series

Usage

multinomial_nnet_model(
  d = i_multinomial_input,
  ...,
  window = 14,
  frequency = "1 day",
  predict = TRUE
)

Arguments

d

Multiclass count input

...

not used and present to allow proportion model to be used in a group_modify

window

a number of data points between knots, smaller values result in less smoothing, large value in more.

frequency

the density of the output estimates.

predict

result a prediction. If false we return the model.

Value

a new dataframe with time (as a time period), class, and proportion.0.5, or a model object

Examples

if (FALSE) {
  # not run due to long running
  tmp = growthrates::england_covid %>%
    dplyr::filter(date > "2022-01-01") %>%
    growthrates::multinomial_nnet_model(window=21) %>%
    dplyr::glimpse()
}

Calculate a normalised incidence rate per capita

Description

This assumes positive disease counts are stratified by a population grouping, e.g. geography or age, and we have estimates of the size of that population during that time period. Normalising by population size allows us to compare groups.

Usage

normalise_incidence(
  modelled = i_timeseries,
  ...,
  population_unit = 1e+05,
  normalise_time = FALSE
)

Arguments

modelled

Model output from processing the raw dataframe with something like poission_locfit_model

A dataframe containing the following columns:

  • time (as.time_period + group_unique) - A (usually complete) set of singular observations per unit time as a 'time_period'

No mandatory groupings.

No default value.

...

not used

population_unit

what population unit do you want the incidence in e.g. per 100K

normalise_time

The default behaviour for incidence is to keep it in the same time units as the input data. If this parameter is set to TRUE the incidence rates are calculated per year. If given as a lubridate period string e.g. "1 day" then the incidence is calculated over that time period.

Value

a dataframe with incidence rates per unit capita. A dataframe containing the following columns:

  • time (as.time_period + group_unique) - A (usually complete) set of singular observations per unit time as a time_period

  • incidence.per_capita.fit (double) - an estimate of the incidence per capita rate on a log scale

  • incidence.per_capita.se.fit (double) - the standard error of the incidence per capita rate estimate on a log scale

  • incidence.per_capita.0.025 (positive_double) - lower confidence limit of the incidence per capita rate (true scale)

  • incidence.per_capita.0.5 (positive_double) - median estimate of the incidence per capita rate (true scale)

  • incidence.per_capita.0.975 (positive_double) - upper confidence limit of the incidence per capita rate (true scale)

  • population_unit (double) - The population unit on which the per capita incidence rate is calculated

No mandatory groupings.

No default value.

Examples

tmp = growthrates::england_covid %>%
  growthrates::poisson_locfit_model(window=21) %>%
  growthrates::normalise_incidence(growthrates::england_demographics) %>%
  dplyr::glimpse()

Calculate a normalised incidence rate per capita

Description

This assumes positive disease counts are stratified by a population grouping, e.g. geography or age, and we have estimates of the size of that population during that time period. Normalising by population size allows us to compare groups.

Usage

normalise_incidence.incidence(
  modelled = i_incidence_model,
  pop = i_population_data,
  ...,
  population_unit = 1e+05,
  normalise_time = FALSE
)

Arguments

modelled

Model output from processing the raw dataframe with something like poission_locfit_model

A dataframe containing the following columns:

  • time (as.time_period + group_unique) - A (usually complete) set of singular observations per unit time as a 'time_period'

  • incidence.fit (double) - an estimate of the incidence rate on a log scale

  • incidence.se.fit (double) - the standard error of the incidence rate estimate on a log scale

  • incidence.0.025 (positive_double) - lower confidence limit of the incidence rate (true scale)

  • incidence.0.5 (positive_double) - median estimate of the incidence rate (true scale)

  • incidence.0.975 (positive_double) - upper confidence limit of the incidence rate (true scale)

No mandatory groupings.

No default value.

pop

The population data must be grouped in the same way as modelled.

A dataframe containing the following columns:

  • population (positive_integer) - Size of population

No mandatory groupings.

No default value.

...

not used

population_unit

what population unit do you want the incidence in e.g. per 100K

normalise_time

The default behaviour for incidence is to keep it in the same time units as the input data. If this parameter is set to TRUE the incidence rates are calculated per year. If given as a lubridate period string e.g. "1 day" then the incidence is calculated over that time period.

Value

a dataframe with incidence rates per unit capita. A dataframe containing the following columns:

  • time (as.time_period + group_unique) - A (usually complete) set of singular observations per unit time as a time_period

  • incidence.per_capita.fit (double) - an estimate of the incidence per capita rate on a log scale

  • incidence.per_capita.se.fit (double) - the standard error of the incidence per capita rate estimate on a log scale

  • incidence.per_capita.0.025 (positive_double) - lower confidence limit of the incidence per capita rate (true scale)

  • incidence.per_capita.0.5 (positive_double) - median estimate of the incidence per capita rate (true scale)

  • incidence.per_capita.0.975 (positive_double) - upper confidence limit of the incidence per capita rate (true scale)

  • population_unit (double) - The population unit on which the per capita incidence rate is calculated

No mandatory groupings.

No default value.

Examples

tmp = growthrates::england_covid %>%
  growthrates::poisson_locfit_model(window=21) %>%
  growthrates::normalise_incidence(growthrates::england_demographics) %>%
  dplyr::glimpse()

Calculate a normalised incidence rate per capita

Description

This assumes positive disease counts are stratified by a population grouping, e.g. geography or age, and we have estimates of the size of that population during that time period. Normalising by population size allows us to compare groups.

Usage

normalise_incidence.proportion(
  modelled = i_proportion_model,
  ...,
  population_unit = 1e+05,
  normalise_time = FALSE
)

Arguments

modelled

Model output from processing the raw dataframe with something like poission_locfit_model

A dataframe containing the following columns:

  • time (as.time_period + group_unique) - A (usually complete) set of singular observations per unit time as a 'time_period'

  • proportion.fit (double) - an estimate of the proportion on a logit scale

  • proportion.se.fit (double) - the standard error of proportion estimate on a logit scale

  • proportion.0.025 (proportion) - lower confidence limit of proportion (true scale)

  • proportion.0.5 (proportion) - median estimate of proportion (true scale)

  • proportion.0.975 (proportion) - upper confidence limit of proportion (true scale)

No mandatory groupings.

No default value.

...

not used

population_unit

what population unit do you want the incidence in e.g. per 100K

normalise_time

The default behaviour for incidence is to keep it in the same time units as the input data. If this parameter is set to TRUE the incidence rates are calculated per year. If given as a lubridate period string e.g. "1 day" then the incidence is calculated over that time period.

Details

This scales a proportion model by the population unit to make it comparable to an incidence model.

Value

a dataframe with incidence rates per unit capita. A dataframe containing the following columns:

  • time (as.time_period + group_unique) - A (usually complete) set of singular observations per unit time as a time_period

  • incidence.per_capita.fit (double) - an estimate of the incidence per capita rate on a log scale

  • incidence.per_capita.se.fit (double) - the standard error of the incidence per capita rate estimate on a log scale

  • incidence.per_capita.0.025 (positive_double) - lower confidence limit of the incidence per capita rate (true scale)

  • incidence.per_capita.0.5 (positive_double) - median estimate of the incidence per capita rate (true scale)

  • incidence.per_capita.0.975 (positive_double) - upper confidence limit of the incidence per capita rate (true scale)

  • population_unit (double) - The population unit on which the per capita incidence rate is calculated

No mandatory groupings.

No default value.

Examples

tmp = growthrates::england_covid %>%
  growthrates::poisson_locfit_model(window=21) %>%
  growthrates::normalise_incidence(growthrates::england_demographics) %>%
  dplyr::glimpse()

Calculate a normalised risk ration from proportions

Description

This assumes case distribution proportions are stratified by a population grouping, e.g. geography or age, and we have estimates of the size of that population during that time period. Normalising by population proportion allows us to compare groups.

Usage

normalise_proportion(
  modelled = i_proportion_model,
  base = i_baseline_proportion_data,
  ...
)

Arguments

modelled

Model output from processing the raw dataframe with something like proportion_locfit_model

A dataframe containing the following columns:

  • time (as.time_period + group_unique) - A (usually complete) set of singular observations per unit time as a 'time_period'

  • proportion.fit (double) - an estimate of the proportion on a logit scale

  • proportion.se.fit (double) - the standard error of proportion estimate on a logit scale

  • proportion.0.025 (proportion) - lower confidence limit of proportion (true scale)

  • proportion.0.5 (proportion) - median estimate of proportion (true scale)

  • proportion.0.975 (proportion) - upper confidence limit of proportion (true scale)

No mandatory groupings.

No default value.

base

The baseline data must be grouped in the same way as modelled.

A dataframe containing the following columns:

  • baseline_proportion (proportion) - Size of population

No mandatory groupings.

No default value.

...

not used

Value

a dataframe with incidence rates per unit capita. A dataframe containing the following columns:

  • time (as.time_period + group_unique) - A (usually complete) set of singular observations per unit time as a time_period

  • proportion.fit (double) - an estimate of the proportion on a logit scale

  • proportion.se.fit (double) - the standard error of proportion estimate on a logit scale

  • proportion.0.025 (proportion) - lower confidence limit of proportion (true scale)

  • proportion.0.5 (proportion) - median estimate of proportion (true scale)

  • proportion.0.975 (proportion) - upper confidence limit of proportion (true scale)

  • risk_ratio.0.025 (positive_double) - lower confidence limit of the excess risk ratio for a population group

  • risk_ratio.0.5 (positive_double) - median estimate of the excess risk ratio for a population group

  • risk_ratio.0.975 (positive_double) - upper confidence limit of the excess risk ratio for a population group

  • baseline_proportion (proportion) - The population baseline risk from which the excess risk ratio is based

No mandatory groupings.

No default value.

Examples

tmp = growthrates::england_covid %>%
  growthrates::proportion_locfit_model(window=21) %>%
  growthrates::normalise_proportion(growthrates::england_demographics) %>%
  dplyr::glimpse()

plot_growth_phase(tmp)

Plot an incidence or proportion vs. growth phase diagram

Description

Plot an incidence or proportion vs. growth phase diagram

Usage

plot_growth_phase(
  modelled = i_timestamped,
  timepoints = NULL,
  duration = max(dplyr::count(modelled)$n),
  interval = 7,
  mapping = if (interfacer::is_col_present(modelled, class)) ggplot2::aes(colour = class)
    else ggplot2::aes(),
  cis = TRUE,
  ...
)

Arguments

modelled

Either:

A dataframe containing the following columns:

  • time (as.time_period + group_unique) - A (usually complete) set of singular observations per unit time as a time_period

  • incidence.fit (double) - an estimate of the incidence rate on a log scale

  • incidence.se.fit (double) - the standard error of the incidence rate estimate on a log scale

  • incidence.0.025 (positive_double) - lower confidence limit of the incidence rate (true scale)

  • incidence.0.5 (positive_double) - median estimate of the incidence rate (true scale)

  • incidence.0.975 (positive_double) - upper confidence limit of the incidence rate (true scale)

  • growth.fit (double) - an estimate of the growth rate

  • growth.se.fit (double) - the standard error the growth rate

  • growth.0.025 (double) - lower confidence limit of the growth rate

  • growth.0.5 (double) - median estimate of the growth rate

  • growth.0.975 (double) - upper confidence limit of the growth rate

No mandatory groupings.

No default value.

OR:

A dataframe containing the following columns:

  • time (as.time_period + group_unique) - A (usually complete) set of singular observations per unit time as a time_period

  • proportion.fit (double) - an estimate of the proportion on a logit scale

  • proportion.se.fit (double) - the standard error of proportion estimate on a logit scale

  • proportion.0.025 (proportion) - lower confidence limit of proportion (true scale)

  • proportion.0.5 (proportion) - median estimate of proportion (true scale)

  • proportion.0.975 (proportion) - upper confidence limit of proportion (true scale)

  • relative.growth.fit (double) - an estimate of the relative growth rate

  • relative.growth.se.fit (double) - the standard error the relative growth rate

  • relative.growth.0.025 (double) - lower confidence limit of the relative growth rate

  • relative.growth.0.5 (double) - median estimate of the relative growth rate

  • relative.growth.0.975 (double) - upper confidence limit of the relative growth rate

No mandatory groupings.

No default value.

timepoints

timepoints (as Date or time_period vector) of dates to plot phase diagrams. If multiple this will result in a sequence of plots as facets. If NULL (the default) it will be the last time point in the series

duration

the length of the growth rate phase trail

interval

the length of time between markers on the phase plot

mapping

a ggplot2::aes() mapping

cis

should the phases be marked with confidence intervals?

...

Arguments passed on to geom_events

events

Significant events or time spans

A dataframe containing the following columns:

  • label (character) - the event label

  • start (date) - the start date, or the date of the event

  • end (date) - the end date or NA if a single event

No mandatory groupings.

A default value is defined.

Value

a ggplot timeseries

Examples

# example code

tmp = growthrates::england_covid %>%
  time_aggregate(count=sum(count))

tmp_pop = growthrates::england_demographics %>%
  dplyr::ungroup() %>%
  dplyr::summarise(population = sum(population))

# If the incidence is normalised by population
tmp2 = tmp %>%
  poisson_locfit_model() %>%
  normalise_incidence(tmp_pop)

timepoints = as.Date(c("Lockdown 1" = "2020-03-30", "Lockdown 2" = "2020-12-31"))

plot_growth_phase(tmp2, timepoints, duration=108)

Growth rate timeseries diagram

Description

Growth rate timeseries diagram

Usage

plot_growth_rate(
  modelled = i_timeseries,
  ...,
  mapping = if (interfacer::is_col_present(modelled, class)) ggplot2::aes(colour = class)
    else ggplot2::aes(),
  events = i_events
)

Arguments

modelled

Either:

A dataframe containing the following columns:

  • time (as.time_period + group_unique) - A (usually complete) set of singular observations per unit time as a time_period

  • incidence.fit (double) - an estimate of the incidence rate on a log scale

  • incidence.se.fit (double) - the standard error of the incidence rate estimate on a log scale

  • incidence.0.025 (positive_double) - lower confidence limit of the incidence rate (true scale)

  • incidence.0.5 (positive_double) - median estimate of the incidence rate (true scale)

  • incidence.0.975 (positive_double) - upper confidence limit of the incidence rate (true scale)

  • growth.fit (double) - an estimate of the growth rate

  • growth.se.fit (double) - the standard error the growth rate

  • growth.0.025 (double) - lower confidence limit of the growth rate

  • growth.0.5 (double) - median estimate of the growth rate

  • growth.0.975 (double) - upper confidence limit of the growth rate

No mandatory groupings.

No default value.

OR:

A dataframe containing the following columns:

  • time (as.time_period + group_unique) - A (usually complete) set of singular observations per unit time as a time_period

  • proportion.fit (double) - an estimate of the proportion on a logit scale

  • proportion.se.fit (double) - the standard error of proportion estimate on a logit scale

  • proportion.0.025 (proportion) - lower confidence limit of proportion (true scale)

  • proportion.0.5 (proportion) - median estimate of proportion (true scale)

  • proportion.0.975 (proportion) - upper confidence limit of proportion (true scale)

  • relative.growth.fit (double) - an estimate of the relative growth rate

  • relative.growth.se.fit (double) - the standard error the relative growth rate

  • relative.growth.0.025 (double) - lower confidence limit of the relative growth rate

  • relative.growth.0.5 (double) - median estimate of the relative growth rate

  • relative.growth.0.975 (double) - upper confidence limit of the relative growth rate

No mandatory groupings.

No default value.

...

Arguments passed on to geom_events

mapping

a ggplot2::aes mapping. Most importantly setting the colour to something if there are multiple incidence time series in the plot

events

Significant events or time spans

A dataframe containing the following columns:

  • label (character) - the event label

  • start (date) - the start date, or the date of the event

  • end (date) - the end date or NA if a single event

No mandatory groupings.

A default value is defined.

Value

a ggplot timeseries

Examples

# example code
tmp = growthrates::england_covid %>%
  time_aggregate(count=sum(count))

tmp_pop = growthrates::england_demographics %>%
  dplyr::ungroup() %>%
  dplyr::summarise(population = sum(population))



# If the incidence is normalised by population
tmp2 = tmp %>%
  poisson_locfit_model() %>%
  normalise_incidence(tmp_pop)

# Default pdf device doesn't support unicode
plot_growth_rate(tmp2,colour="blue")

tmp3 = growthrates::england_covid %>%
  proportion_locfit_model()

# Default pdf device doesn't support unicode
plot_growth_rate(tmp3)

Plot an incidence timeseries

Description

Plot an incidence timeseries

Usage

plot_incidence(
  modelled = i_incidence_model,
  raw = i_incidence_data,
  ...,
  mapping = if (interfacer::is_col_present(modelled, class)) ggplot2::aes(colour = class)
    else ggplot2::aes(),
  events = i_events
)

Arguments

modelled

An optional estimate of the incidence time series. If modelled is missing then it is estimated from raw using a poisson_locfit_model. In this case parameters window and deg may be supplied to control the fit.

A dataframe containing the following columns:

  • time (as.time_period + group_unique) - A (usually complete) set of singular observations per unit time as a time_period

  • incidence.fit (double) - an estimate of the incidence rate on a log scale

  • incidence.se.fit (double) - the standard error of the incidence rate estimate on a log scale

  • incidence.0.025 (positive_double) - lower confidence limit of the incidence rate (true scale)

  • incidence.0.5 (positive_double) - median estimate of the incidence rate (true scale)

  • incidence.0.975 (positive_double) - upper confidence limit of the incidence rate (true scale)

No mandatory groupings.

No default value.

modelled can also be the output from normalise_incidence in which case the plot uses the per capita rates calculated by that function

raw

The raw count data

A dataframe containing the following columns:

  • count (positive_integer) - Positive case counts associated with the specified timeframe

  • time (as.time_period + group_unique) - A (usually complete) set of singular observations per unit time as a 'time_period'

No mandatory groupings.

No default value.

...

Arguments passed on to geom_events, poisson_locfit_model

window

a number of data points defining the bandwidth of the estimate, smaller values result in less smoothing, large value in more. The default value of 14 is calibrated for data provided on a daily frequency, with weekly data a lower value may be preferred. - (defaults to 14)

deg

polynomial degree (min 1) - higher degree results in less smoothing, lower values result in more smoothing. A degree of 1 is fitting a linear model piece wise. - (defaults to 1)

frequency

the density of the output estimates as a time period such as ⁠7 days⁠ or ⁠2 weeks⁠. - (defaults to "1 day")

mapping

a ggplot2::aes mapping. Most importantly setting the colour to something if there are multiple incidence timeseries in the plot

events

Significant events or time spans

A dataframe containing the following columns:

  • label (character) - the event label

  • start (date) - the start date, or the date of the event

  • end (date) - the end date or NA if a single event

No mandatory groupings.

A default value is defined.

Value

a ggplot object

Examples

# example code

tmp = growthrates::england_covid %>%
  time_aggregate(count=sum(count))

tmp_pop = growthrates::england_demographics %>%
  dplyr::ungroup() %>%
  dplyr::summarise(population = sum(population))

# If the incidence is normalised by population
tmp2 = tmp %>%
  poisson_locfit_model() %>%
  normalise_incidence(tmp_pop)

plot_incidence(tmp2,tmp %>% dplyr::cross_join(tmp_pop),colour="blue",size=0.25)

Plot a multinomial proportions mode

Description

Plot a multinomial proportions mode

Usage

plot_multinomial(
  modelled = i_multinomial_proportion_model,
  ...,
  mapping = ggplot2::aes(fill = class),
  events = i_events,
  normalise = FALSE
)

Arguments

modelled

the multinomial count data

A dataframe containing the following columns:

  • time (as.time_period + group_unique) - A (usually complete) set of singular observations per unit time as a 'time_period'

  • class (factor) - A factor specifying the type of observation. This will be things like variant, or serotype, for a multinomial model. Any missing data points are ignored.

  • proportion.0.5 (proportion) - median estimate of proportion (true scale)

Must be grouped by: class (exactly).

No default value.

...

Arguments passed on to geom_events

mapping

a ggplot2::aes mapping. Most importantly setting the colour to something if there are multiple incidence timeseries in the plot

events

Significant events or time spans

A dataframe containing the following columns:

  • label (character) - the event label

  • start (date) - the start date, or the date of the event

  • end (date) - the end date or NA if a single event

No mandatory groupings.

A default value is defined.

normalise

make sure the probabilities add up to one - this can be a bad idea if you know you may have missing values.

Value

a ggplot

Examples

tmp = growthrates::england_covid %>%
  growthrates::proportion_locfit_model(window=21) %>%
  dplyr::glimpse()

plot_multinomial(tmp, normalise=TRUE)+
  ggplot2::scale_fill_viridis_d()

Plot a proportions timeseries

Description

Plot a proportions timeseries

Usage

plot_proportion(
  modelled = i_proportion_model,
  raw = i_proportion_data,
  ...,
  mapping = if (interfacer::is_col_present(modelled, class)) ggplot2::aes(colour = class)
    else ggplot2::aes(),
  events = i_events
)

Arguments

modelled

Proportion model estimates

A dataframe containing the following columns:

  • time (as.time_period + group_unique) - A (usually complete) set of singular observations per unit time as a 'time_period'

  • proportion.fit (double) - an estimate of the proportion on a logit scale

  • proportion.se.fit (double) - the standard error of proportion estimate on a logit scale

  • proportion.0.025 (proportion) - lower confidence limit of proportion (true scale)

  • proportion.0.5 (proportion) - median estimate of proportion (true scale)

  • proportion.0.975 (proportion) - upper confidence limit of proportion (true scale)

No mandatory groupings.

No default value.

raw

Raw count data

A dataframe containing the following columns:

  • denom (positive_integer) - Total test counts associated with the specified timeframe

  • count (positive_integer) - Positive case counts associated with the specified timeframe

  • time (as.time_period + group_unique) - A (usually complete) set of singular observations per unit time as a 'time_period'

No mandatory groupings.

No default value.

...

Arguments passed on to geom_events, proportion_locfit_model

window

a number of data points defining the bandwidth of the estimate, smaller values result in less smoothing, large value in more. The default value of 14 is calibrated for data provided on a daily frequency, with weekly data a lower value may be preferred. - (defaults to 14)

deg

polynomial degree (min 1) - higher degree results in less smoothing, lower values result in more smoothing. A degree of 1 is fitting a linear model piece wise. - (defaults to 1)

frequency

the density of the output estimates as a time period such as ⁠7 days⁠ or ⁠2 weeks⁠. - (defaults to "1 day")

mapping

a ggplot2::aes mapping. Most importantly setting the colour to something if there are multiple incidence timeseries in the plot

events

Significant events or time spans

A dataframe containing the following columns:

  • label (character) - the event label

  • start (date) - the start date, or the date of the event

  • end (date) - the end date or NA if a single event

No mandatory groupings.

A default value is defined.

Value

a ggplot object

Examples

tmp = growthrates::england_covid %>%
  growthrates::proportion_locfit_model(window=21) %>%
  dplyr::glimpse()

plot_proportion(tmp)+
  ggplot2::scale_fill_viridis_d(aesthetics = c("fill","colour"))

Reproduction number timeseries diagram

Description

Reproduction number timeseries diagram

Usage

plot_rt(
  modelled = i_reproduction_number,
  ...,
  mapping = if (interfacer::is_col_present(modelled, class)) ggplot2::aes(colour = class)
    else ggplot2::aes(),
  events = i_events
)

Arguments

modelled

the modelled Rt estimate

A dataframe containing the following columns:

  • time (as.time_period + group_unique) - A (usually complete) set of singular observations per unit time as a 'time_period'

  • rt.fit (double) - an estimate of the reproduction number

  • rt.se.fit (double) - the standard error of the reproduction number

  • rt.0.025 (double) - lower confidence limit of the reproduction number

  • rt.0.5 (double) - median estimate of the reproduction number

  • rt.0.975 (double) - upper confidence limit of the reproduction number

No mandatory groupings.

No default value.

...

Arguments passed on to geom_events

mapping

a ggplot2::aes mapping. Most importantly setting the colour to something if there are multiple incidence time series in the plot

events

Significant events or time spans

A dataframe containing the following columns:

  • label (character) - the event label

  • start (date) - the start date, or the date of the event

  • end (date) - the end date or NA if a single event

No mandatory groupings.

A default value is defined.

Value

a ggplot timeseries

Examples

# example code
tmp = growthrates::england_covid %>%
  time_aggregate(count=sum(count))
if (FALSE) {

  tmp2 = tmp %>%
    poisson_locfit_model() %>%
    rt_from_growth_rate()

  # comparing RT from growth rates with England consensus Rt:
  plot_rt(tmp2,colour="blue")+
    geom_errorbar(data=england_consensus_rt, mapping=aes(x=date-21,ymin=low,ymax=high),colour="red")

}

Poisson time-series model.

Description

This uses a generalised linear model to fit a quasi-poisson model with a time varying rate as a natural cubic spline with approx one degree of freedom per window units of the time series.

Usage

poisson_glm_model(d = i_incidence_input, ..., window = 14, frequency = "1 day")

Arguments

d

Count model input

A dataframe containing the following columns:

  • count (positive_integer) - Positive case counts associated with the specified timeframe

  • time (as.time_period + group_unique) - A (usually complete) set of singular observations per unit time as a 'time_period'

Ungrouped.

No default value.

...

not used and present to allow proportion model to be used in a group_modify

window

a number of data points defining the bandwidth of the estimate, smaller values result in less smoothing, large value in more. The default value of 14 is calibrated for data provided on a daily frequency, with weekly data a lower value may be preferred. - (defaults to 14)

frequency

the density of the output estimates as a time period such as ⁠7 days⁠ or ⁠2 weeks⁠. - (defaults to "1 day")

Value

A dataframe containing the following columns:

  • time (as.time_period + group_unique) - A (usually complete) set of singular observations per unit time as a time_period

  • incidence.fit (double) - an estimate of the incidence rate on a log scale

  • incidence.se.fit (double) - the standard error of the incidence rate estimate on a log scale

  • incidence.0.025 (positive_double) - lower confidence limit of the incidence rate (true scale)

  • incidence.0.5 (positive_double) - median estimate of the incidence rate (true scale)

  • incidence.0.975 (positive_double) - upper confidence limit of the incidence rate (true scale)

No mandatory groupings.

No default value.

Examples

tmp = growthrates::england_covid %>%
 growthrates::poisson_glm_model(window=21) %>%
 dplyr::glimpse()

Poisson time-series model.

Description

Takes a list of times and counts and fits a quasi-poisson model fitted with a log link function to count data using local regression using the package locfit.

Usage

poisson_locfit_model(
  d = i_incidence_input,
  ...,
  window = 14,
  deg = 1,
  frequency = "1 day",
  predict = TRUE
)

Arguments

d

input data

A dataframe containing the following columns:

  • count (positive_integer) - Positive case counts associated with the specified timeframe

  • time (as.time_period + group_unique) - A (usually complete) set of singular observations per unit time as a 'time_period'

Ungrouped.

No default value.

...

not used and present to allow proportion model to be used in a group_modify

window

a number of data points defining the bandwidth of the estimate, smaller values result in less smoothing, large value in more. The default value of 14 is calibrated for data provided on a daily frequency, with weekly data a lower value may be preferred. - (defaults to 14)

deg

polynomial degree (min 1) - higher degree results in less smoothing, lower values result in more smoothing. A degree of 1 is fitting a linear model piece wise. - (defaults to 1)

frequency

the density of the output estimates as a time period such as ⁠7 days⁠ or ⁠2 weeks⁠. - (defaults to "1 day")

predict

result is a prediction dataframe. If false we return the locfit models (advanced). - (defaults to TRUE)

Details

This results is an incidence rate estimate plus an absolute exponential growth rate estimate both based on the time unit of the input data (e.g. for daily data the rate will be cases per day and the growth rate will be daily).

Value

A dataframe containing the following columns:

  • time (as.time_period + group_unique) - A (usually complete) set of singular observations per unit time as a time_period

  • incidence.fit (double) - an estimate of the incidence rate on a log scale

  • incidence.se.fit (double) - the standard error of the incidence rate estimate on a log scale

  • incidence.0.025 (positive_double) - lower confidence limit of the incidence rate (true scale)

  • incidence.0.5 (positive_double) - median estimate of the incidence rate (true scale)

  • incidence.0.975 (positive_double) - upper confidence limit of the incidence rate (true scale)

  • growth.fit (double) - an estimate of the growth rate

  • growth.se.fit (double) - the standard error the growth rate

  • growth.0.025 (double) - lower confidence limit of the growth rate

  • growth.0.5 (double) - median estimate of the growth rate

  • growth.0.975 (double) - upper confidence limit of the growth rate

No mandatory groupings.

No default value.

Examples

growthrates::england_covid %>%
  growthrates::poisson_locfit_model(window=21) %>%
  dplyr::glimpse()

Binomial time-series model.

Description

This uses a generalised linear model to fit a quasi-binomial model with a time varying rate as a natural cubic spline with approx one degree of freedom per window units of the time series.

Usage

proportion_glm_model(
  d = i_proportion_input,
  ...,
  window = 14,
  frequency = "1 day"
)

Arguments

d

Proportion model input

A dataframe containing the following columns:

  • denom (positive_integer) - Total test counts associated with the specified timeframe

  • count (positive_integer) - Positive case counts associated with the specified timeframe

  • time (as.time_period + group_unique) - A (usually complete) set of singular observations per unit time as a 'time_period'

Ungrouped.

No default value.

...

not used and present to allow proportion model to be used in a group_modify

window

a number of data points defining the bandwidth of the estimate, smaller values result in less smoothing, large value in more. The default value of 14 is calibrated for data provided on a daily frequency, with weekly data a lower value may be preferred. - (defaults to 14)

frequency

the density of the output estimates as a time period such as ⁠7 days⁠ or ⁠2 weeks⁠. - (defaults to "1 day")

Value

A dataframe containing the following columns:

  • time (as.time_period + group_unique) - A (usually complete) set of singular observations per unit time as a time_period

  • proportion.fit (double) - an estimate of the proportion on a logit scale

  • proportion.se.fit (double) - the standard error of proportion estimate on a logit scale

  • proportion.0.025 (proportion) - lower confidence limit of proportion (true scale)

  • proportion.0.5 (proportion) - median estimate of proportion (true scale)

  • proportion.0.975 (proportion) - upper confidence limit of proportion (true scale)

No mandatory groupings.

No default value.

Examples

# TODO: find out cause of the warnings
# "observations with zero weight not used for calculating dispersion"
suppressWarnings(
  growthrates::england_covid %>%
   growthrates::proportion_glm_model(window=21) %>%
   dplyr::glimpse()
)

A binomial proportion estimate and associated exponential growth rate

Description

takes a list of times, counts and a denominator and fits a quasi-binomial model using a logit link function to proportion data using local regression using the package locfit.

Usage

proportion_locfit_model(
  d = i_proportion_input,
  ...,
  window = 14,
  deg = 1,
  frequency = "1 day",
  predict = TRUE
)

Arguments

d

the input

A dataframe containing the following columns:

  • denom (positive_integer) - Total test counts associated with the specified timeframe

  • count (positive_integer) - Positive case counts associated with the specified timeframe

  • time (as.time_period + group_unique) - A (usually complete) set of singular observations per unit time as a 'time_period'

Ungrouped.

No default value.

...

not used and present to allow proportion model to be used in a group_modify

window

a number of data points defining the bandwidth of the estimate, smaller values result in less smoothing, large value in more. The default value of 14 is calibrated for data provided on a daily frequency, with weekly data a lower value may be preferred. - (defaults to 14)

deg

polynomial degree (min 1) - higher degree results in less smoothing, lower values result in more smoothing. A degree of 1 is fitting a linear model piece wise. - (defaults to 1)

frequency

the density of the output estimates as a time period such as ⁠7 days⁠ or ⁠2 weeks⁠. - (defaults to "1 day")

predict

result is a prediction dataframe. If false we return the locfit models (advanced). - (defaults to TRUE)

Details

This expects d to contain one combination of:

  • time and count and denom columns - e.g. all tests conducted.

This results is a one versus others comparison binomial proportion estimate plus a relative growth rate estimate specifying how much quicker this is growing compared to the growth of the denominator.

The denominator maybe the sum of all subgroups denom = sum(count), e.g. in the situation where there are multiple variants of a disease circulating. In which case the relative growth is that of the subgroup compared to the overall. You can make this a one-versus-others comparison by making the denominator exclude the current item (e.g. denom = sum(count)-count).

The denominator can also be used to express the size of the population tested. This gives us a relative growth rate that is different in essence to the previous and may be a better estimate of the true growth rate in the situation where testing effort is variable, or capacity saturated.

Value

A dataframe containing the following columns:

  • time (as.time_period + group_unique) - A (usually complete) set of singular observations per unit time as a time_period

  • proportion.fit (double) - an estimate of the proportion on a logit scale

  • proportion.se.fit (double) - the standard error of proportion estimate on a logit scale

  • proportion.0.025 (proportion) - lower confidence limit of proportion (true scale)

  • proportion.0.5 (proportion) - median estimate of proportion (true scale)

  • proportion.0.975 (proportion) - upper confidence limit of proportion (true scale)

  • relative.growth.fit (double) - an estimate of the relative growth rate

  • relative.growth.se.fit (double) - the standard error the relative growth rate

  • relative.growth.0.025 (double) - lower confidence limit of the relative growth rate

  • relative.growth.0.5 (double) - median estimate of the relative growth rate

  • relative.growth.0.975 (double) - upper confidence limit of the relative growth rate

No mandatory groupings.

No default value.

Examples

growthrates::england_covid %>%
 growthrates::proportion_locfit_model(window=21) %>%
 dplyr::glimpse()

Reband any discrete distribution

Description

e.g. age banded population, or a discrete probability distribution e.g. a serial interval distribution.

Usage

reband_discrete(
  x,
  y,
  xout,
  xlim = c(0, NA),
  ytotal = c(0, sum(y)),
  digits = 0,
  labelling = c("positive_integer", "inclusive", "exclusive"),
  sep = "-"
)

Arguments

x

a set of upper limits of bands, e.g. for age: 0-14;15-64;65-79;80+ is 15,65,80,NA

y

a set of quantities for each band e.g. population figures

xout

a set of new upper limits

xlim

Upper and lower limits for x. if the last band is e.g 80+ in the input and we want to know the 85+ band in the output some kind of maximum upper limit is needed to interpolate to.

ytotal

upper and lower limits for y. If the interpolation values fall outside of x then the in and max limits of y are given by this.

digits

if the xout value is continuous then how many significant figures to put in the labels

labelling

are the xout values interpretable as an inclusive upper limit, or an exclusive upper limit, or as an upper limit of an 'positive_integer“ quantity

sep

seperator for names e.g. 18-24 or ⁠18 to 24⁠

Value

a rebanded set of discrete values, guaranteed to sum to the same as y

Examples

ul = stringr::str_extract(england_demographics$class, "_([0-9]+)",group = 1) %>%
  as.numeric()

tmp = reband_discrete(
  ul, england_demographics$population,
  c(5,10,15,40,80), xlim=c(0,120))

tmp

sum(tmp)
sum(england_demographics$population)

EpiEstim reproduction number

Description

Calculate a reproduction number estimate from incidence data using the EpiEstim library and an empirical generation time distribution. This uses resampling to transmit uncertainty in generation time estimates. This is quite slow for each time series depending on the number of bootstraps and samples in the infectivity profile.

Usage

rt_epiestim(
  df = i_incidence_input,
  ip = i_infectivity_profile,
  bootstraps = 2000,
  window = 14,
  mean_prior = 1,
  std_prior = 2,
  ...
)

Arguments

df

Count data. Extra groups are allowed.

A dataframe containing the following columns:

  • count (positive_integer) - Positive case counts associated with the specified timeframe

  • time (as.time_period + group_unique) - A (usually complete) set of singular observations per unit time as a 'time_period'

Ungrouped.

No default value.

ip

infectivity profile

A dataframe containing the following columns:

  • boot (anything) - a bootstrap identifier

  • time (positive_double) - the end of the time period (in days)

  • probability (proportion) - the probability of infection between previous time period until 'time'

Must be grouped by: boot (exactly).

A default value is defined.

bootstraps
  • the number of bootstraps to take to calculate for each point.

window
  • the width of the epiestim window

mean_prior

the prior for the $R_t$ estimate. When sample size is low the $R_t$ estimate will revert to this prior. In EpiEstim the default is a high number to allow detection of insufficient data but this tends to create anomalies in the early part of infection timeseries. A possible value is $R_0$ but in fact this also will be a poor choice for the value of $R_t$ when case numbers drop to a low value.

std_prior

the prior for the $R_t$ SD.

...

not used

Details

This will calculate a reproduction number for each group in the input dataframe.

Value

A dataframe containing the following columns:

  • time (as.time_period + group_unique) - A (usually complete) set of singular observations per unit time as a time_period

  • rt.fit (double) - an estimate of the reproduction number

  • rt.se.fit (double) - the standard error of the reproduction number

  • rt.0.025 (double) - lower confidence limit of the reproduction number

  • rt.0.5 (double) - median estimate of the reproduction number

  • rt.0.975 (double) - upper confidence limit of the reproduction number

No mandatory groupings.

No default value.

Examples

tmp = growthrates::england_covid %>%
  time_aggregate(count=sum(count))

if (FALSE) {
  # not run due to long running
  tmp2 = tmp %>% rt_epiestim()
}

Wallinga-Lipsitch reproduction number

Description

Calculate a reproduction number estimate from growth rate using the Wallinga 2007 estimation using empirical generation time distribution. This uses resampling to transmit uncertainty in growth rate estimates

Usage

rt_from_growth_rate(
  df = i_growth_rate,
  ip = i_infectivity_profile,
  bootstraps = 2000
)

Arguments

df

Growth rate estimates

A dataframe containing the following columns:

  • time (as.time_period + group_unique) - A (usually complete) set of singular observations per unit time as a 'time_period'

  • growth.fit (double) - an estimate of the growth rate

  • growth.se.fit (double) - the standard error the growth rate

  • growth.0.025 (double) - lower confidence limit of the growth rate

  • growth.0.5 (double) - median estimate of the growth rate

  • growth.0.975 (double) - upper confidence limit of the growth rate

No mandatory groupings.

No default value.

ip

Infectivity profile

A dataframe containing the following columns:

  • boot (anything) - a bootstrap identifier

  • time (positive_double) - the end of the time period (in days)

  • probability (proportion) - the probability of infection between previous time period until 'time'

Must be grouped by: boot (exactly).

A default value is defined.

bootstraps
  • the number of bootstraps to take to calculate for each point.

Value

A dataframe containing the following columns:

  • time (as.time_period + group_unique) - A (usually complete) set of singular observations per unit time as a time_period

  • rt.fit (double) - an estimate of the reproduction number

  • rt.se.fit (double) - the standard error of the reproduction number

  • rt.0.025 (double) - lower confidence limit of the reproduction number

  • rt.0.5 (double) - median estimate of the reproduction number

  • rt.0.975 (double) - upper confidence limit of the reproduction number

No mandatory groupings.

No default value.

Examples

tmp = growthrates::england_covid %>%
  time_aggregate(count=sum(count))


if (FALSE) {
  # not run
  tmp2 = tmp %>%
    poisson_locfit_model() %>%
    rt_from_growth_rate()
}

Reproduction number from modelled incidence

Description

Calculate a reproduction number estimate from growth rate using the methods described in the vignette "Estimating the reproduction number from modelled incidence" and using an empirical generation time distribution.

Usage

rt_from_incidence(df = i_incidence_model, ip = i_infectivity_profile)

Arguments

df

Count data

A dataframe containing the following columns:

  • time (as.time_period + group_unique) - A (usually complete) set of singular observations per unit time as a 'time_period'

  • incidence.fit (double) - an estimate of the incidence rate on a log scale

  • incidence.se.fit (double) - the standard error of the incidence rate estimate on a log scale

  • incidence.0.025 (positive_double) - lower confidence limit of the incidence rate (true scale)

  • incidence.0.5 (positive_double) - median estimate of the incidence rate (true scale)

  • incidence.0.975 (positive_double) - upper confidence limit of the incidence rate (true scale)

No mandatory groupings.

No default value.

ip

Infectivity profile

A dataframe containing the following columns:

  • boot (anything) - a bootstrap identifier

  • time (positive_double) - the end of the time period (in days)

  • probability (proportion) - the probability of infection between previous time period until 'time'

Must be grouped by: boot (exactly).

A default value is defined.

Value

A dataframe containing the following columns:

  • time (as.time_period + group_unique) - A (usually complete) set of singular observations per unit time as a time_period

  • rt.fit (double) - an estimate of the reproduction number

  • rt.se.fit (double) - the standard error of the reproduction number

  • rt.0.025 (double) - lower confidence limit of the reproduction number

  • rt.0.5 (double) - median estimate of the reproduction number

  • rt.0.975 (double) - upper confidence limit of the reproduction number

No mandatory groupings.

No default value.

Examples

df = growthrates::england_covid %>%
  time_aggregate(count=sum(count)) %>%
    poisson_locfit_model()


if (FALSE) {
  # not run
  tmp2 = df %>% rt_from_incidence()
}

A log1p y scale

Description

A log1p y scale

Usage

scale_y_log1p(..., n = 5, base = 10, dp = 0)

Arguments

...

Other arguments passed on to ⁠scale_(x|y)_continuous()⁠

n

the number of major breaks

base

the base for the logarithm

dp

decimal points

Value

a ggplot scale


A logit y scale

Description

A logit y scale

Usage

scale_y_logit(...)

Arguments

...

Other arguments passed on to ⁠scale_(x|y)_continuous()⁠

Value

a ggplot scale


Aggregate time series data preserving the time series

Description

Aggregate time series data preserving the time series

Usage

time_aggregate(
  df = i_timestamped,
  ...,
  .groups = NULL,
  .cols = NULL,
  .fns = NULL
)

Arguments

df

an optionally grouped time series. Grouping should not include the time column. The grouping works differently from dplyr::summarise in that the last level of non-time groups is lost in this operation, so the subgroup you wish to aggregate should be included in the grouping.

...

A set of dplyr::summarise statements, or additional parameters for .fns

.groups

as per dplyr::summarise

.cols

Optional tidyselect column specification for dplyr::across. if .fns is given and the .cols parameter is not specified then the columns to summarise are automatically identified. In doing this any Date columns are dropped. If this in not what you want then .cols or ... must be given

.fns

Optional a set of function specifications as per dplyr::across

Value

the summarised time series preserving the time column, and with the grouping structure involving one fewer levels that the input

Examples

growthrates::england_covid %>%
  time_aggregate(count = sum(count), denom = sum(denom)) %>%
  dplyr::glimpse()

growthrates::england_covid %>%
  time_aggregate(.fns=mean) %>%
  dplyr::glimpse()

Summarise data from a line list to a time-series of counts.

Description

This principally is designed to take a record of single events and produce a summary time-series count of events by group, class and date. The default behaviour is to guess the cadence of the input data and summarise the event line list to a (set of) regular time-series counts for use in incidence and growth rate estimates.

Usage

time_summarise(
  df = i_dated,
  unit,
  anchor = "start",
  rectangular = FALSE,
  ...,
  .fill = list(count = 0)
)

Arguments

df

a line list of data you want to summarise, optionally grouped. If this is grouped then each group is treated independently. The remaining columns must contain a date column and may contain a class column. If a count column is present the counts will be summed, otherwise each individual row will be counted as a single event (as a linelist)

unit

a period e.g. "1 week"

anchor

one of a date, "start" or "end" or a weekday name e.g. "mon" this will always be one of the start of the time periods we are cutting into

rectangular

should the resulting time series be the same length for all groups. This is only the case if you can be sure that your data is complete for all subgroups, otherwise missing data will be treated as zero counts. This is important if leading and trailing missing data in one subgroup can be due to a reporting delay in that subgroup, in which case a rectangular time series will erroneously fill in zero counts for this missing data.

...

a spec for a dplyr::summary(...) - optional, and if not provided a count = dplyr::n() or a count = sum(count) is performed.

.fill

a list similar to tidyr::complete for values to fill variables with

Details

If the data is given with a class column the time series are interpreted as having a denominator, consisting of all the different classes within a time period. This may be subtypes (e.g. variants, serotypes) or markers for test positivity. In either case the resulting time series will have counts for all classes and denominators for the combination.

There is flexibility for other kinds of summarisation if the raw data is not count based (e.g. means of continuous variables) but in this case a the slider package is usually going to be better, as time summarise will only look at non overlapping time periods with fixed lengths.

There is another use case where an existing timeseries on a particular frequency is aggregated to another less frequent basis (e.g. moving from a daily timeseries to a weekly one). In this case the input will contain a count column. In this mode no checks are made that the more frequent events are all present before summarisation so the result may include different numbers of input periods (e.g. going from weeks to months may be 4 or 5 weeks in each month)

Value

The output depends on whether or not the input was grouped and had a class column. The most detailed output will be:

A dataframe containing the following columns:

  • denom (positive_integer) - Total test counts associated with the specified timeframe

  • count (positive_integer) - Positive case counts associated with the specified timeframe

  • time (as.time_period + group_unique) - A (usually complete) set of singular observations per unit time as a time_period

No mandatory groupings.

No default value.

or a more minimal output if the input is only a plain list of dated events:

A dataframe containing the following columns:

  • count (positive_integer) - Positive case counts associated with the specified timeframe

  • time (as.time_period + group_unique) - A (usually complete) set of singular observations per unit time as a time_period

No mandatory groupings.

No default value.


Convert a set of timepoints to dates

Description

Convert a set of timepoints to dates

Usage

time_to_date(
  timepoints,
  unit = attr(timepoints, "unit"),
  start_date = attr(timepoints, "start_date")
)

Arguments

timepoints

a set of numeric time points

unit

the period / unit of the time points, which will be extracted from timepoints if possible

start_date

the zero day of the time series, will be extracted from timepoints if possible

Value

a vector of dates

Examples

times = date_to_time(as.Date("2019-12-29")+0:100, "1 week")
dates = time_to_date(times)

Calculate the reproduction number from a growth rate estimate and an infectivity profile

Description

Calculate the reproduction number from a growth rate estimate and an infectivity profile

Usage

wallinga_lipsitch(r, y, a = 1:length(y))

Arguments

r

a growth rate (may be a vector)

y

an empirical infectivity profile as a probability vector, starting at P(0<t,a[1])

a

the end time of the estimate (defaults to single days).

Value

a reproduction number estimate based on r

Examples

wallinga_lipsitch(r=seq(-0.1,0.1,length.out=9), y=dgamma(1:50, 5,2))