Time Series Visualisation

Dr. Thiyanga S. Talagala
Department of Statistics, Faculty of Applied Sciences
University of Sri Jayewardenepura, Sri Lanka

Packages

library(tidyverse)
library(tsibble)
library(lubridate)
library(feasts)
library(denguedatahub)
# install.packages("devtools")
#devtools::install_github("thiyangt/TourSriLanka")
library(TourSriLanka)

Store time series data with tsibble

tibble

y.tibble <- tibble(
  Year = 2020:2023,
  Earnings = c(682.4, 506.9, 1136.3, 2068.0))
y.tibble

# A tibble: 4 × 2
   Year Earnings
  <int>    <dbl>
1  2020     682.
2  2021     507.
3  2022    1136.
4  2023    2068 

tsibble

y.tsibble <- tsibble(
  Year = 2020:2023,
  Earnings = c(682.4, 506.9, 1136.3, 2068.0),
  index = Year)
y.tsibble

# A tsibble: 4 x 2 [1Y]
   Year Earnings
  <int>    <dbl>
1  2020     682.
2  2021     507.
3  2022    1136.
4  2023    2068 

Convert tibble to tsibble

y.tibble |> as_tsibble(index=Year)

# A tsibble: 4 x 2 [1Y]
   Year Earnings
  <int>    <dbl>
1  2020     682.
2  2021     507.
3  2022    1136.
4  2023    2068 

Your turn

Extract dengue.cases.indigenous from china_annual_data and convert it into tsibble.

library(denguedatahub)
china_annual_data

# A tibble: 16 × 5
    year dengue.cases.indigenous dengue.cases.imported counties.with.dengue.fe…¹
   <int>                   <dbl>                 <dbl>                     <dbl>
 1  2005                       0                    45                         0
 2  2006                    1007                    46                        15
 3  2007                     481                    56                        13
 4  2008                      86                   134                        11
 5  2009                     200                    73                         5
 6  2010                     112                   119                        14
 7  2011                      35                   113                         6
 8  2012                     438                   149                        14
 9  2013                    4263                   460                        36
10  2014                   46034                   399                       160
11  2015                    3044                  1083                        44
12  2016                    1549                   675                        41
13  2017                    4609                  2112                        76
14  2018                    3801                  1266                       100
15  2019                   15378                  5813                       266
16  2020                     616                   158                         7
# ℹ abbreviated name: ¹​counties.with.dengue.fever.indigenous
# ℹ 1 more variable: counties.with.dengue.fever.imported <dbl>

Monthly data

library(TourSriLanka)
data(earnings)
earnings

# A tibble: 180 × 3
   Month   Year  Earnings
   <chr>   <chr>    <dbl>
 1 January 2009      30  
 2 January 2010      44.7
 3 January 2011      72  
 4 January 2012      88.9
 5 January 2013     149. 
 6 January 2014     233. 
 7 January 2015     259  
 8 January 2016     333. 
 9 January 2017     407. 
10 January 2018     448. 
# ℹ 170 more rows

Sort data according to the year

earnings <- earnings |>
  arrange(Year, match(Month, month.name) )
earnings

# A tibble: 180 × 3
   Month     Year  Earnings
   <chr>     <chr>    <dbl>
 1 January   2009      30  
 2 February  2009      26.7
 3 March     2009      26.6
 4 April     2009      20.3
 5 May       2009      19.3
 6 June      2009      23.6
 7 July      2009      33  
 8 August    2009      32.2
 9 September 2009      29.6
10 October   2009      29.3
# ℹ 170 more rows

Create sequence of dates using lubridate package

library(lubridate)
seq(ymd("2009-1-1"), ymd("2023-1-1"), by = "years")

 [1] "2009-01-01" "2010-01-01" "2011-01-01" "2012-01-01" "2013-01-01"
 [6] "2014-01-01" "2015-01-01" "2016-01-01" "2017-01-01" "2018-01-01"
[11] "2019-01-01" "2020-01-01" "2021-01-01" "2022-01-01" "2023-01-01"

seq(ymd("2009-1-1"), ymd("2023-1-1"), by = "month")

  [1] "2009-01-01" "2009-02-01" "2009-03-01" "2009-04-01" "2009-05-01"
  [6] "2009-06-01" "2009-07-01" "2009-08-01" "2009-09-01" "2009-10-01"
 [11] "2009-11-01" "2009-12-01" "2010-01-01" "2010-02-01" "2010-03-01"
 [16] "2010-04-01" "2010-05-01" "2010-06-01" "2010-07-01" "2010-08-01"
 [21] "2010-09-01" "2010-10-01" "2010-11-01" "2010-12-01" "2011-01-01"
 [26] "2011-02-01" "2011-03-01" "2011-04-01" "2011-05-01" "2011-06-01"
 [31] "2011-07-01" "2011-08-01" "2011-09-01" "2011-10-01" "2011-11-01"
 [36] "2011-12-01" "2012-01-01" "2012-02-01" "2012-03-01" "2012-04-01"
 [41] "2012-05-01" "2012-06-01" "2012-07-01" "2012-08-01" "2012-09-01"
 [46] "2012-10-01" "2012-11-01" "2012-12-01" "2013-01-01" "2013-02-01"
 [51] "2013-03-01" "2013-04-01" "2013-05-01" "2013-06-01" "2013-07-01"
 [56] "2013-08-01" "2013-09-01" "2013-10-01" "2013-11-01" "2013-12-01"
 [61] "2014-01-01" "2014-02-01" "2014-03-01" "2014-04-01" "2014-05-01"
 [66] "2014-06-01" "2014-07-01" "2014-08-01" "2014-09-01" "2014-10-01"
 [71] "2014-11-01" "2014-12-01" "2015-01-01" "2015-02-01" "2015-03-01"
 [76] "2015-04-01" "2015-05-01" "2015-06-01" "2015-07-01" "2015-08-01"
 [81] "2015-09-01" "2015-10-01" "2015-11-01" "2015-12-01" "2016-01-01"
 [86] "2016-02-01" "2016-03-01" "2016-04-01" "2016-05-01" "2016-06-01"
 [91] "2016-07-01" "2016-08-01" "2016-09-01" "2016-10-01" "2016-11-01"
 [96] "2016-12-01" "2017-01-01" "2017-02-01" "2017-03-01" "2017-04-01"
[101] "2017-05-01" "2017-06-01" "2017-07-01" "2017-08-01" "2017-09-01"
[106] "2017-10-01" "2017-11-01" "2017-12-01" "2018-01-01" "2018-02-01"
[111] "2018-03-01" "2018-04-01" "2018-05-01" "2018-06-01" "2018-07-01"
[116] "2018-08-01" "2018-09-01" "2018-10-01" "2018-11-01" "2018-12-01"
[121] "2019-01-01" "2019-02-01" "2019-03-01" "2019-04-01" "2019-05-01"
[126] "2019-06-01" "2019-07-01" "2019-08-01" "2019-09-01" "2019-10-01"
[131] "2019-11-01" "2019-12-01" "2020-01-01" "2020-02-01" "2020-03-01"
[136] "2020-04-01" "2020-05-01" "2020-06-01" "2020-07-01" "2020-08-01"
[141] "2020-09-01" "2020-10-01" "2020-11-01" "2020-12-01" "2021-01-01"
[146] "2021-02-01" "2021-03-01" "2021-04-01" "2021-05-01" "2021-06-01"
[151] "2021-07-01" "2021-08-01" "2021-09-01" "2021-10-01" "2021-11-01"
[156] "2021-12-01" "2022-01-01" "2022-02-01" "2022-03-01" "2022-04-01"
[161] "2022-05-01" "2022-06-01" "2022-07-01" "2022-08-01" "2022-09-01"
[166] "2022-10-01" "2022-11-01" "2022-12-01" "2023-01-01"

seq(ymd("2009-1-1"), ymd("2023-1-1"), by = "quarter")

 [1] "2009-01-01" "2009-04-01" "2009-07-01" "2009-10-01" "2010-01-01"
 [6] "2010-04-01" "2010-07-01" "2010-10-01" "2011-01-01" "2011-04-01"
[11] "2011-07-01" "2011-10-01" "2012-01-01" "2012-04-01" "2012-07-01"
[16] "2012-10-01" "2013-01-01" "2013-04-01" "2013-07-01" "2013-10-01"
[21] "2014-01-01" "2014-04-01" "2014-07-01" "2014-10-01" "2015-01-01"
[26] "2015-04-01" "2015-07-01" "2015-10-01" "2016-01-01" "2016-04-01"
[31] "2016-07-01" "2016-10-01" "2017-01-01" "2017-04-01" "2017-07-01"
[36] "2017-10-01" "2018-01-01" "2018-04-01" "2018-07-01" "2018-10-01"
[41] "2019-01-01" "2019-04-01" "2019-07-01" "2019-10-01" "2020-01-01"
[46] "2020-04-01" "2020-07-01" "2020-10-01" "2021-01-01" "2021-04-01"
[51] "2021-07-01" "2021-10-01" "2022-01-01" "2022-04-01" "2022-07-01"
[56] "2022-10-01" "2023-01-01"

seq(ymd("2009-1-1"), ymd("2023-1-1"), by = "1 week")

  [1] "2009-01-01" "2009-01-08" "2009-01-15" "2009-01-22" "2009-01-29"
  [6] "2009-02-05" "2009-02-12" "2009-02-19" "2009-02-26" "2009-03-05"
 [11] "2009-03-12" "2009-03-19" "2009-03-26" "2009-04-02" "2009-04-09"
 [16] "2009-04-16" "2009-04-23" "2009-04-30" "2009-05-07" "2009-05-14"
 [21] "2009-05-21" "2009-05-28" "2009-06-04" "2009-06-11" "2009-06-18"
 [26] "2009-06-25" "2009-07-02" "2009-07-09" "2009-07-16" "2009-07-23"
 [31] "2009-07-30" "2009-08-06" "2009-08-13" "2009-08-20" "2009-08-27"
 [36] "2009-09-03" "2009-09-10" "2009-09-17" "2009-09-24" "2009-10-01"
 [41] "2009-10-08" "2009-10-15" "2009-10-22" "2009-10-29" "2009-11-05"
 [46] "2009-11-12" "2009-11-19" "2009-11-26" "2009-12-03" "2009-12-10"
 [51] "2009-12-17" "2009-12-24" "2009-12-31" "2010-01-07" "2010-01-14"
 [56] "2010-01-21" "2010-01-28" "2010-02-04" "2010-02-11" "2010-02-18"
 [61] "2010-02-25" "2010-03-04" "2010-03-11" "2010-03-18" "2010-03-25"
 [66] "2010-04-01" "2010-04-08" "2010-04-15" "2010-04-22" "2010-04-29"
 [71] "2010-05-06" "2010-05-13" "2010-05-20" "2010-05-27" "2010-06-03"
 [76] "2010-06-10" "2010-06-17" "2010-06-24" "2010-07-01" "2010-07-08"
 [81] "2010-07-15" "2010-07-22" "2010-07-29" "2010-08-05" "2010-08-12"
 [86] "2010-08-19" "2010-08-26" "2010-09-02" "2010-09-09" "2010-09-16"
 [91] "2010-09-23" "2010-09-30" "2010-10-07" "2010-10-14" "2010-10-21"
 [96] "2010-10-28" "2010-11-04" "2010-11-11" "2010-11-18" "2010-11-25"
[101] "2010-12-02" "2010-12-09" "2010-12-16" "2010-12-23" "2010-12-30"
[106] "2011-01-06" "2011-01-13" "2011-01-20" "2011-01-27" "2011-02-03"
[111] "2011-02-10" "2011-02-17" "2011-02-24" "2011-03-03" "2011-03-10"
[116] "2011-03-17" "2011-03-24" "2011-03-31" "2011-04-07" "2011-04-14"
[121] "2011-04-21" "2011-04-28" "2011-05-05" "2011-05-12" "2011-05-19"
[126] "2011-05-26" "2011-06-02" "2011-06-09" "2011-06-16" "2011-06-23"
[131] "2011-06-30" "2011-07-07" "2011-07-14" "2011-07-21" "2011-07-28"
[136] "2011-08-04" "2011-08-11" "2011-08-18" "2011-08-25" "2011-09-01"
[141] "2011-09-08" "2011-09-15" "2011-09-22" "2011-09-29" "2011-10-06"
[146] "2011-10-13" "2011-10-20" "2011-10-27" "2011-11-03" "2011-11-10"
[151] "2011-11-17" "2011-11-24" "2011-12-01" "2011-12-08" "2011-12-15"
[156] "2011-12-22" "2011-12-29" "2012-01-05" "2012-01-12" "2012-01-19"
[161] "2012-01-26" "2012-02-02" "2012-02-09" "2012-02-16" "2012-02-23"
[166] "2012-03-01" "2012-03-08" "2012-03-15" "2012-03-22" "2012-03-29"
[171] "2012-04-05" "2012-04-12" "2012-04-19" "2012-04-26" "2012-05-03"
[176] "2012-05-10" "2012-05-17" "2012-05-24" "2012-05-31" "2012-06-07"
[181] "2012-06-14" "2012-06-21" "2012-06-28" "2012-07-05" "2012-07-12"
[186] "2012-07-19" "2012-07-26" "2012-08-02" "2012-08-09" "2012-08-16"
[191] "2012-08-23" "2012-08-30" "2012-09-06" "2012-09-13" "2012-09-20"
[196] "2012-09-27" "2012-10-04" "2012-10-11" "2012-10-18" "2012-10-25"
[201] "2012-11-01" "2012-11-08" "2012-11-15" "2012-11-22" "2012-11-29"
[206] "2012-12-06" "2012-12-13" "2012-12-20" "2012-12-27" "2013-01-03"
[211] "2013-01-10" "2013-01-17" "2013-01-24" "2013-01-31" "2013-02-07"
[216] "2013-02-14" "2013-02-21" "2013-02-28" "2013-03-07" "2013-03-14"
[221] "2013-03-21" "2013-03-28" "2013-04-04" "2013-04-11" "2013-04-18"
[226] "2013-04-25" "2013-05-02" "2013-05-09" "2013-05-16" "2013-05-23"
[231] "2013-05-30" "2013-06-06" "2013-06-13" "2013-06-20" "2013-06-27"
[236] "2013-07-04" "2013-07-11" "2013-07-18" "2013-07-25" "2013-08-01"
[241] "2013-08-08" "2013-08-15" "2013-08-22" "2013-08-29" "2013-09-05"
[246] "2013-09-12" "2013-09-19" "2013-09-26" "2013-10-03" "2013-10-10"
[251] "2013-10-17" "2013-10-24" "2013-10-31" "2013-11-07" "2013-11-14"
[256] "2013-11-21" "2013-11-28" "2013-12-05" "2013-12-12" "2013-12-19"
[261] "2013-12-26" "2014-01-02" "2014-01-09" "2014-01-16" "2014-01-23"
[266] "2014-01-30" "2014-02-06" "2014-02-13" "2014-02-20" "2014-02-27"
[271] "2014-03-06" "2014-03-13" "2014-03-20" "2014-03-27" "2014-04-03"
[276] "2014-04-10" "2014-04-17" "2014-04-24" "2014-05-01" "2014-05-08"
[281] "2014-05-15" "2014-05-22" "2014-05-29" "2014-06-05" "2014-06-12"
[286] "2014-06-19" "2014-06-26" "2014-07-03" "2014-07-10" "2014-07-17"
[291] "2014-07-24" "2014-07-31" "2014-08-07" "2014-08-14" "2014-08-21"
[296] "2014-08-28" "2014-09-04" "2014-09-11" "2014-09-18" "2014-09-25"
[301] "2014-10-02" "2014-10-09" "2014-10-16" "2014-10-23" "2014-10-30"
[306] "2014-11-06" "2014-11-13" "2014-11-20" "2014-11-27" "2014-12-04"
[311] "2014-12-11" "2014-12-18" "2014-12-25" "2015-01-01" "2015-01-08"
[316] "2015-01-15" "2015-01-22" "2015-01-29" "2015-02-05" "2015-02-12"
[321] "2015-02-19" "2015-02-26" "2015-03-05" "2015-03-12" "2015-03-19"
[326] "2015-03-26" "2015-04-02" "2015-04-09" "2015-04-16" "2015-04-23"
[331] "2015-04-30" "2015-05-07" "2015-05-14" "2015-05-21" "2015-05-28"
[336] "2015-06-04" "2015-06-11" "2015-06-18" "2015-06-25" "2015-07-02"
[341] "2015-07-09" "2015-07-16" "2015-07-23" "2015-07-30" "2015-08-06"
[346] "2015-08-13" "2015-08-20" "2015-08-27" "2015-09-03" "2015-09-10"
[351] "2015-09-17" "2015-09-24" "2015-10-01" "2015-10-08" "2015-10-15"
[356] "2015-10-22" "2015-10-29" "2015-11-05" "2015-11-12" "2015-11-19"
[361] "2015-11-26" "2015-12-03" "2015-12-10" "2015-12-17" "2015-12-24"
[366] "2015-12-31" "2016-01-07" "2016-01-14" "2016-01-21" "2016-01-28"
[371] "2016-02-04" "2016-02-11" "2016-02-18" "2016-02-25" "2016-03-03"
[376] "2016-03-10" "2016-03-17" "2016-03-24" "2016-03-31" "2016-04-07"
[381] "2016-04-14" "2016-04-21" "2016-04-28" "2016-05-05" "2016-05-12"
[386] "2016-05-19" "2016-05-26" "2016-06-02" "2016-06-09" "2016-06-16"
[391] "2016-06-23" "2016-06-30" "2016-07-07" "2016-07-14" "2016-07-21"
[396] "2016-07-28" "2016-08-04" "2016-08-11" "2016-08-18" "2016-08-25"
[401] "2016-09-01" "2016-09-08" "2016-09-15" "2016-09-22" "2016-09-29"
[406] "2016-10-06" "2016-10-13" "2016-10-20" "2016-10-27" "2016-11-03"
[411] "2016-11-10" "2016-11-17" "2016-11-24" "2016-12-01" "2016-12-08"
[416] "2016-12-15" "2016-12-22" "2016-12-29" "2017-01-05" "2017-01-12"
[421] "2017-01-19" "2017-01-26" "2017-02-02" "2017-02-09" "2017-02-16"
[426] "2017-02-23" "2017-03-02" "2017-03-09" "2017-03-16" "2017-03-23"
[431] "2017-03-30" "2017-04-06" "2017-04-13" "2017-04-20" "2017-04-27"
[436] "2017-05-04" "2017-05-11" "2017-05-18" "2017-05-25" "2017-06-01"
[441] "2017-06-08" "2017-06-15" "2017-06-22" "2017-06-29" "2017-07-06"
[446] "2017-07-13" "2017-07-20" "2017-07-27" "2017-08-03" "2017-08-10"
[451] "2017-08-17" "2017-08-24" "2017-08-31" "2017-09-07" "2017-09-14"
[456] "2017-09-21" "2017-09-28" "2017-10-05" "2017-10-12" "2017-10-19"
[461] "2017-10-26" "2017-11-02" "2017-11-09" "2017-11-16" "2017-11-23"
[466] "2017-11-30" "2017-12-07" "2017-12-14" "2017-12-21" "2017-12-28"
[471] "2018-01-04" "2018-01-11" "2018-01-18" "2018-01-25" "2018-02-01"
[476] "2018-02-08" "2018-02-15" "2018-02-22" "2018-03-01" "2018-03-08"
[481] "2018-03-15" "2018-03-22" "2018-03-29" "2018-04-05" "2018-04-12"
[486] "2018-04-19" "2018-04-26" "2018-05-03" "2018-05-10" "2018-05-17"
[491] "2018-05-24" "2018-05-31" "2018-06-07" "2018-06-14" "2018-06-21"
[496] "2018-06-28" "2018-07-05" "2018-07-12" "2018-07-19" "2018-07-26"
[501] "2018-08-02" "2018-08-09" "2018-08-16" "2018-08-23" "2018-08-30"
[506] "2018-09-06" "2018-09-13" "2018-09-20" "2018-09-27" "2018-10-04"
[511] "2018-10-11" "2018-10-18" "2018-10-25" "2018-11-01" "2018-11-08"
[516] "2018-11-15" "2018-11-22" "2018-11-29" "2018-12-06" "2018-12-13"
[521] "2018-12-20" "2018-12-27" "2019-01-03" "2019-01-10" "2019-01-17"
[526] "2019-01-24" "2019-01-31" "2019-02-07" "2019-02-14" "2019-02-21"
[531] "2019-02-28" "2019-03-07" "2019-03-14" "2019-03-21" "2019-03-28"
[536] "2019-04-04" "2019-04-11" "2019-04-18" "2019-04-25" "2019-05-02"
[541] "2019-05-09" "2019-05-16" "2019-05-23" "2019-05-30" "2019-06-06"
[546] "2019-06-13" "2019-06-20" "2019-06-27" "2019-07-04" "2019-07-11"
[551] "2019-07-18" "2019-07-25" "2019-08-01" "2019-08-08" "2019-08-15"
[556] "2019-08-22" "2019-08-29" "2019-09-05" "2019-09-12" "2019-09-19"
[561] "2019-09-26" "2019-10-03" "2019-10-10" "2019-10-17" "2019-10-24"
[566] "2019-10-31" "2019-11-07" "2019-11-14" "2019-11-21" "2019-11-28"
[571] "2019-12-05" "2019-12-12" "2019-12-19" "2019-12-26" "2020-01-02"
[576] "2020-01-09" "2020-01-16" "2020-01-23" "2020-01-30" "2020-02-06"
[581] "2020-02-13" "2020-02-20" "2020-02-27" "2020-03-05" "2020-03-12"
[586] "2020-03-19" "2020-03-26" "2020-04-02" "2020-04-09" "2020-04-16"
[591] "2020-04-23" "2020-04-30" "2020-05-07" "2020-05-14" "2020-05-21"
[596] "2020-05-28" "2020-06-04" "2020-06-11" "2020-06-18" "2020-06-25"
[601] "2020-07-02" "2020-07-09" "2020-07-16" "2020-07-23" "2020-07-30"
[606] "2020-08-06" "2020-08-13" "2020-08-20" "2020-08-27" "2020-09-03"
[611] "2020-09-10" "2020-09-17" "2020-09-24" "2020-10-01" "2020-10-08"
[616] "2020-10-15" "2020-10-22" "2020-10-29" "2020-11-05" "2020-11-12"
[621] "2020-11-19" "2020-11-26" "2020-12-03" "2020-12-10" "2020-12-17"
[626] "2020-12-24" "2020-12-31" "2021-01-07" "2021-01-14" "2021-01-21"
[631] "2021-01-28" "2021-02-04" "2021-02-11" "2021-02-18" "2021-02-25"
[636] "2021-03-04" "2021-03-11" "2021-03-18" "2021-03-25" "2021-04-01"
[641] "2021-04-08" "2021-04-15" "2021-04-22" "2021-04-29" "2021-05-06"
[646] "2021-05-13" "2021-05-20" "2021-05-27" "2021-06-03" "2021-06-10"
[651] "2021-06-17" "2021-06-24" "2021-07-01" "2021-07-08" "2021-07-15"
[656] "2021-07-22" "2021-07-29" "2021-08-05" "2021-08-12" "2021-08-19"
[661] "2021-08-26" "2021-09-02" "2021-09-09" "2021-09-16" "2021-09-23"
[666] "2021-09-30" "2021-10-07" "2021-10-14" "2021-10-21" "2021-10-28"
[671] "2021-11-04" "2021-11-11" "2021-11-18" "2021-11-25" "2021-12-02"
[676] "2021-12-09" "2021-12-16" "2021-12-23" "2021-12-30" "2022-01-06"
[681] "2022-01-13" "2022-01-20" "2022-01-27" "2022-02-03" "2022-02-10"
[686] "2022-02-17" "2022-02-24" "2022-03-03" "2022-03-10" "2022-03-17"
[691] "2022-03-24" "2022-03-31" "2022-04-07" "2022-04-14" "2022-04-21"
[696] "2022-04-28" "2022-05-05" "2022-05-12" "2022-05-19" "2022-05-26"
[701] "2022-06-02" "2022-06-09" "2022-06-16" "2022-06-23" "2022-06-30"
[706] "2022-07-07" "2022-07-14" "2022-07-21" "2022-07-28" "2022-08-04"
[711] "2022-08-11" "2022-08-18" "2022-08-25" "2022-09-01" "2022-09-08"
[716] "2022-09-15" "2022-09-22" "2022-09-29" "2022-10-06" "2022-10-13"
[721] "2022-10-20" "2022-10-27" "2022-11-03" "2022-11-10" "2022-11-17"
[726] "2022-11-24" "2022-12-01" "2022-12-08" "2022-12-15" "2022-12-22"
[731] "2022-12-29"

seq(ymd("2009-1-1"), ymd("2023-1-1"), by = "2 week")

  [1] "2009-01-01" "2009-01-15" "2009-01-29" "2009-02-12" "2009-02-26"
  [6] "2009-03-12" "2009-03-26" "2009-04-09" "2009-04-23" "2009-05-07"
 [11] "2009-05-21" "2009-06-04" "2009-06-18" "2009-07-02" "2009-07-16"
 [16] "2009-07-30" "2009-08-13" "2009-08-27" "2009-09-10" "2009-09-24"
 [21] "2009-10-08" "2009-10-22" "2009-11-05" "2009-11-19" "2009-12-03"
 [26] "2009-12-17" "2009-12-31" "2010-01-14" "2010-01-28" "2010-02-11"
 [31] "2010-02-25" "2010-03-11" "2010-03-25" "2010-04-08" "2010-04-22"
 [36] "2010-05-06" "2010-05-20" "2010-06-03" "2010-06-17" "2010-07-01"
 [41] "2010-07-15" "2010-07-29" "2010-08-12" "2010-08-26" "2010-09-09"
 [46] "2010-09-23" "2010-10-07" "2010-10-21" "2010-11-04" "2010-11-18"
 [51] "2010-12-02" "2010-12-16" "2010-12-30" "2011-01-13" "2011-01-27"
 [56] "2011-02-10" "2011-02-24" "2011-03-10" "2011-03-24" "2011-04-07"
 [61] "2011-04-21" "2011-05-05" "2011-05-19" "2011-06-02" "2011-06-16"
 [66] "2011-06-30" "2011-07-14" "2011-07-28" "2011-08-11" "2011-08-25"
 [71] "2011-09-08" "2011-09-22" "2011-10-06" "2011-10-20" "2011-11-03"
 [76] "2011-11-17" "2011-12-01" "2011-12-15" "2011-12-29" "2012-01-12"
 [81] "2012-01-26" "2012-02-09" "2012-02-23" "2012-03-08" "2012-03-22"
 [86] "2012-04-05" "2012-04-19" "2012-05-03" "2012-05-17" "2012-05-31"
 [91] "2012-06-14" "2012-06-28" "2012-07-12" "2012-07-26" "2012-08-09"
 [96] "2012-08-23" "2012-09-06" "2012-09-20" "2012-10-04" "2012-10-18"
[101] "2012-11-01" "2012-11-15" "2012-11-29" "2012-12-13" "2012-12-27"
[106] "2013-01-10" "2013-01-24" "2013-02-07" "2013-02-21" "2013-03-07"
[111] "2013-03-21" "2013-04-04" "2013-04-18" "2013-05-02" "2013-05-16"
[116] "2013-05-30" "2013-06-13" "2013-06-27" "2013-07-11" "2013-07-25"
[121] "2013-08-08" "2013-08-22" "2013-09-05" "2013-09-19" "2013-10-03"
[126] "2013-10-17" "2013-10-31" "2013-11-14" "2013-11-28" "2013-12-12"
[131] "2013-12-26" "2014-01-09" "2014-01-23" "2014-02-06" "2014-02-20"
[136] "2014-03-06" "2014-03-20" "2014-04-03" "2014-04-17" "2014-05-01"
[141] "2014-05-15" "2014-05-29" "2014-06-12" "2014-06-26" "2014-07-10"
[146] "2014-07-24" "2014-08-07" "2014-08-21" "2014-09-04" "2014-09-18"
[151] "2014-10-02" "2014-10-16" "2014-10-30" "2014-11-13" "2014-11-27"
[156] "2014-12-11" "2014-12-25" "2015-01-08" "2015-01-22" "2015-02-05"
[161] "2015-02-19" "2015-03-05" "2015-03-19" "2015-04-02" "2015-04-16"
[166] "2015-04-30" "2015-05-14" "2015-05-28" "2015-06-11" "2015-06-25"
[171] "2015-07-09" "2015-07-23" "2015-08-06" "2015-08-20" "2015-09-03"
[176] "2015-09-17" "2015-10-01" "2015-10-15" "2015-10-29" "2015-11-12"
[181] "2015-11-26" "2015-12-10" "2015-12-24" "2016-01-07" "2016-01-21"
[186] "2016-02-04" "2016-02-18" "2016-03-03" "2016-03-17" "2016-03-31"
[191] "2016-04-14" "2016-04-28" "2016-05-12" "2016-05-26" "2016-06-09"
[196] "2016-06-23" "2016-07-07" "2016-07-21" "2016-08-04" "2016-08-18"
[201] "2016-09-01" "2016-09-15" "2016-09-29" "2016-10-13" "2016-10-27"
[206] "2016-11-10" "2016-11-24" "2016-12-08" "2016-12-22" "2017-01-05"
[211] "2017-01-19" "2017-02-02" "2017-02-16" "2017-03-02" "2017-03-16"
[216] "2017-03-30" "2017-04-13" "2017-04-27" "2017-05-11" "2017-05-25"
[221] "2017-06-08" "2017-06-22" "2017-07-06" "2017-07-20" "2017-08-03"
[226] "2017-08-17" "2017-08-31" "2017-09-14" "2017-09-28" "2017-10-12"
[231] "2017-10-26" "2017-11-09" "2017-11-23" "2017-12-07" "2017-12-21"
[236] "2018-01-04" "2018-01-18" "2018-02-01" "2018-02-15" "2018-03-01"
[241] "2018-03-15" "2018-03-29" "2018-04-12" "2018-04-26" "2018-05-10"
[246] "2018-05-24" "2018-06-07" "2018-06-21" "2018-07-05" "2018-07-19"
[251] "2018-08-02" "2018-08-16" "2018-08-30" "2018-09-13" "2018-09-27"
[256] "2018-10-11" "2018-10-25" "2018-11-08" "2018-11-22" "2018-12-06"
[261] "2018-12-20" "2019-01-03" "2019-01-17" "2019-01-31" "2019-02-14"
[266] "2019-02-28" "2019-03-14" "2019-03-28" "2019-04-11" "2019-04-25"
[271] "2019-05-09" "2019-05-23" "2019-06-06" "2019-06-20" "2019-07-04"
[276] "2019-07-18" "2019-08-01" "2019-08-15" "2019-08-29" "2019-09-12"
[281] "2019-09-26" "2019-10-10" "2019-10-24" "2019-11-07" "2019-11-21"
[286] "2019-12-05" "2019-12-19" "2020-01-02" "2020-01-16" "2020-01-30"
[291] "2020-02-13" "2020-02-27" "2020-03-12" "2020-03-26" "2020-04-09"
[296] "2020-04-23" "2020-05-07" "2020-05-21" "2020-06-04" "2020-06-18"
[301] "2020-07-02" "2020-07-16" "2020-07-30" "2020-08-13" "2020-08-27"
[306] "2020-09-10" "2020-09-24" "2020-10-08" "2020-10-22" "2020-11-05"
[311] "2020-11-19" "2020-12-03" "2020-12-17" "2020-12-31" "2021-01-14"
[316] "2021-01-28" "2021-02-11" "2021-02-25" "2021-03-11" "2021-03-25"
[321] "2021-04-08" "2021-04-22" "2021-05-06" "2021-05-20" "2021-06-03"
[326] "2021-06-17" "2021-07-01" "2021-07-15" "2021-07-29" "2021-08-12"
[331] "2021-08-26" "2021-09-09" "2021-09-23" "2021-10-07" "2021-10-21"
[336] "2021-11-04" "2021-11-18" "2021-12-02" "2021-12-16" "2021-12-30"
[341] "2022-01-13" "2022-01-27" "2022-02-10" "2022-02-24" "2022-03-10"
[346] "2022-03-24" "2022-04-07" "2022-04-21" "2022-05-05" "2022-05-19"
[351] "2022-06-02" "2022-06-16" "2022-06-30" "2022-07-14" "2022-07-28"
[356] "2022-08-11" "2022-08-25" "2022-09-08" "2022-09-22" "2022-10-06"
[361] "2022-10-20" "2022-11-03" "2022-11-17" "2022-12-01" "2022-12-15"
[366] "2022-12-29"

seq(ymd("2009-1-1"), ymd("2023-1-1"), by = "2 months")

 [1] "2009-01-01" "2009-03-01" "2009-05-01" "2009-07-01" "2009-09-01"
 [6] "2009-11-01" "2010-01-01" "2010-03-01" "2010-05-01" "2010-07-01"
[11] "2010-09-01" "2010-11-01" "2011-01-01" "2011-03-01" "2011-05-01"
[16] "2011-07-01" "2011-09-01" "2011-11-01" "2012-01-01" "2012-03-01"
[21] "2012-05-01" "2012-07-01" "2012-09-01" "2012-11-01" "2013-01-01"
[26] "2013-03-01" "2013-05-01" "2013-07-01" "2013-09-01" "2013-11-01"
[31] "2014-01-01" "2014-03-01" "2014-05-01" "2014-07-01" "2014-09-01"
[36] "2014-11-01" "2015-01-01" "2015-03-01" "2015-05-01" "2015-07-01"
[41] "2015-09-01" "2015-11-01" "2016-01-01" "2016-03-01" "2016-05-01"
[46] "2016-07-01" "2016-09-01" "2016-11-01" "2017-01-01" "2017-03-01"
[51] "2017-05-01" "2017-07-01" "2017-09-01" "2017-11-01" "2018-01-01"
[56] "2018-03-01" "2018-05-01" "2018-07-01" "2018-09-01" "2018-11-01"
[61] "2019-01-01" "2019-03-01" "2019-05-01" "2019-07-01" "2019-09-01"
[66] "2019-11-01" "2020-01-01" "2020-03-01" "2020-05-01" "2020-07-01"
[71] "2020-09-01" "2020-11-01" "2021-01-01" "2021-03-01" "2021-05-01"
[76] "2021-07-01" "2021-09-01" "2021-11-01" "2022-01-01" "2022-03-01"
[81] "2022-05-01" "2022-07-01" "2022-09-01" "2022-11-01" "2023-01-01"

seq(ymd("2009-1-1"), ymd("2023-1-1"), by = "1 day")

   [1] "2009-01-01" "2009-01-02" "2009-01-03" "2009-01-04" "2009-01-05"
   [6] "2009-01-06" "2009-01-07" "2009-01-08" "2009-01-09" "2009-01-10"
  [11] "2009-01-11" "2009-01-12" "2009-01-13" "2009-01-14" "2009-01-15"
  [16] "2009-01-16" "2009-01-17" "2009-01-18" "2009-01-19" "2009-01-20"
  [21] "2009-01-21" "2009-01-22" "2009-01-23" "2009-01-24" "2009-01-25"
  [26] "2009-01-26" "2009-01-27" "2009-01-28" "2009-01-29" "2009-01-30"
  [31] "2009-01-31" "2009-02-01" "2009-02-02" "2009-02-03" "2009-02-04"
  [36] "2009-02-05" "2009-02-06" "2009-02-07" "2009-02-08" "2009-02-09"
  [41] "2009-02-10" "2009-02-11" "2009-02-12" "2009-02-13" "2009-02-14"
  [46] "2009-02-15" "2009-02-16" "2009-02-17" "2009-02-18" "2009-02-19"
  [51] "2009-02-20" "2009-02-21" "2009-02-22" "2009-02-23" "2009-02-24"
  [56] "2009-02-25" "2009-02-26" "2009-02-27" "2009-02-28" "2009-03-01"
  [61] "2009-03-02" "2009-03-03" "2009-03-04" "2009-03-05" "2009-03-06"
  [66] "2009-03-07" "2009-03-08" "2009-03-09" "2009-03-10" "2009-03-11"
  [71] "2009-03-12" "2009-03-13" "2009-03-14" "2009-03-15" "2009-03-16"
  [76] "2009-03-17" "2009-03-18" "2009-03-19" "2009-03-20" "2009-03-21"
  [81] "2009-03-22" "2009-03-23" "2009-03-24" "2009-03-25" "2009-03-26"
  [86] "2009-03-27" "2009-03-28" "2009-03-29" "2009-03-30" "2009-03-31"
  [91] "2009-04-01" "2009-04-02" "2009-04-03" "2009-04-04" "2009-04-05"
  [96] "2009-04-06" "2009-04-07" "2009-04-08" "2009-04-09" "2009-04-10"
 [101] "2009-04-11" "2009-04-12" "2009-04-13" "2009-04-14" "2009-04-15"
 [106] "2009-04-16" "2009-04-17" "2009-04-18" "2009-04-19" "2009-04-20"
 [111] "2009-04-21" "2009-04-22" "2009-04-23" "2009-04-24" "2009-04-25"
 [116] "2009-04-26" "2009-04-27" "2009-04-28" "2009-04-29" "2009-04-30"
 [121] "2009-05-01" "2009-05-02" "2009-05-03" "2009-05-04" "2009-05-05"
 [126] "2009-05-06" "2009-05-07" "2009-05-08" "2009-05-09" "2009-05-10"
 [131] "2009-05-11" "2009-05-12" "2009-05-13" "2009-05-14" "2009-05-15"
 [136] "2009-05-16" "2009-05-17" "2009-05-18" "2009-05-19" "2009-05-20"
 [141] "2009-05-21" "2009-05-22" "2009-05-23" "2009-05-24" "2009-05-25"
 [146] "2009-05-26" "2009-05-27" "2009-05-28" "2009-05-29" "2009-05-30"
 [151] "2009-05-31" "2009-06-01" "2009-06-02" "2009-06-03" "2009-06-04"
 [156] "2009-06-05" "2009-06-06" "2009-06-07" "2009-06-08" "2009-06-09"
 [161] "2009-06-10" "2009-06-11" "2009-06-12" "2009-06-13" "2009-06-14"
 [166] "2009-06-15" "2009-06-16" "2009-06-17" "2009-06-18" "2009-06-19"
 [171] "2009-06-20" "2009-06-21" "2009-06-22" "2009-06-23" "2009-06-24"
 [176] "2009-06-25" "2009-06-26" "2009-06-27" "2009-06-28" "2009-06-29"
 [181] "2009-06-30" "2009-07-01" "2009-07-02" "2009-07-03" "2009-07-04"
 [186] "2009-07-05" "2009-07-06" "2009-07-07" "2009-07-08" "2009-07-09"
 [191] "2009-07-10" "2009-07-11" "2009-07-12" "2009-07-13" "2009-07-14"
 [196] "2009-07-15" "2009-07-16" "2009-07-17" "2009-07-18" "2009-07-19"
 [201] "2009-07-20" "2009-07-21" "2009-07-22" "2009-07-23" "2009-07-24"
 [206] "2009-07-25" "2009-07-26" "2009-07-27" "2009-07-28" "2009-07-29"
 [211] "2009-07-30" "2009-07-31" "2009-08-01" "2009-08-02" "2009-08-03"
 [216] "2009-08-04" "2009-08-05" "2009-08-06" "2009-08-07" "2009-08-08"
 [221] "2009-08-09" "2009-08-10" "2009-08-11" "2009-08-12" "2009-08-13"
 [226] "2009-08-14" "2009-08-15" "2009-08-16" "2009-08-17" "2009-08-18"
 [231] "2009-08-19" "2009-08-20" "2009-08-21" "2009-08-22" "2009-08-23"
 [236] "2009-08-24" "2009-08-25" "2009-08-26" "2009-08-27" "2009-08-28"
 [241] "2009-08-29" "2009-08-30" "2009-08-31" "2009-09-01" "2009-09-02"
 [246] "2009-09-03" "2009-09-04" "2009-09-05" "2009-09-06" "2009-09-07"
 [251] "2009-09-08" "2009-09-09" "2009-09-10" "2009-09-11" "2009-09-12"
 [256] "2009-09-13" "2009-09-14" "2009-09-15" "2009-09-16" "2009-09-17"
 [261] "2009-09-18" "2009-09-19" "2009-09-20" "2009-09-21" "2009-09-22"
 [266] "2009-09-23" "2009-09-24" "2009-09-25" "2009-09-26" "2009-09-27"
 [271] "2009-09-28" "2009-09-29" "2009-09-30" "2009-10-01" "2009-10-02"
 [276] "2009-10-03" "2009-10-04" "2009-10-05" "2009-10-06" "2009-10-07"
 [281] "2009-10-08" "2009-10-09" "2009-10-10" "2009-10-11" "2009-10-12"
 [286] "2009-10-13" "2009-10-14" "2009-10-15" "2009-10-16" "2009-10-17"
 [291] "2009-10-18" "2009-10-19" "2009-10-20" "2009-10-21" "2009-10-22"
 [296] "2009-10-23" "2009-10-24" "2009-10-25" "2009-10-26" "2009-10-27"
 [301] "2009-10-28" "2009-10-29" "2009-10-30" "2009-10-31" "2009-11-01"
 [306] "2009-11-02" "2009-11-03" "2009-11-04" "2009-11-05" "2009-11-06"
 [311] "2009-11-07" "2009-11-08" "2009-11-09" "2009-11-10" "2009-11-11"
 [316] "2009-11-12" "2009-11-13" "2009-11-14" "2009-11-15" "2009-11-16"
 [321] "2009-11-17" "2009-11-18" "2009-11-19" "2009-11-20" "2009-11-21"
 [326] "2009-11-22" "2009-11-23" "2009-11-24" "2009-11-25" "2009-11-26"
 [331] "2009-11-27" "2009-11-28" "2009-11-29" "2009-11-30" "2009-12-01"
 [336] "2009-12-02" "2009-12-03" "2009-12-04" "2009-12-05" "2009-12-06"
 [341] "2009-12-07" "2009-12-08" "2009-12-09" "2009-12-10" "2009-12-11"
 [346] "2009-12-12" "2009-12-13" "2009-12-14" "2009-12-15" "2009-12-16"
 [351] "2009-12-17" "2009-12-18" "2009-12-19" "2009-12-20" "2009-12-21"
 [356] "2009-12-22" "2009-12-23" "2009-12-24" "2009-12-25" "2009-12-26"
 [361] "2009-12-27" "2009-12-28" "2009-12-29" "2009-12-30" "2009-12-31"
 [366] "2010-01-01" "2010-01-02" "2010-01-03" "2010-01-04" "2010-01-05"
 [371] "2010-01-06" "2010-01-07" "2010-01-08" "2010-01-09" "2010-01-10"
 [376] "2010-01-11" "2010-01-12" "2010-01-13" "2010-01-14" "2010-01-15"
 [381] "2010-01-16" "2010-01-17" "2010-01-18" "2010-01-19" "2010-01-20"
 [386] "2010-01-21" "2010-01-22" "2010-01-23" "2010-01-24" "2010-01-25"
 [391] "2010-01-26" "2010-01-27" "2010-01-28" "2010-01-29" "2010-01-30"
 [396] "2010-01-31" "2010-02-01" "2010-02-02" "2010-02-03" "2010-02-04"
 [401] "2010-02-05" "2010-02-06" "2010-02-07" "2010-02-08" "2010-02-09"
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[4356] "2020-12-04" "2020-12-05" "2020-12-06" "2020-12-07" "2020-12-08"
[4361] "2020-12-09" "2020-12-10" "2020-12-11" "2020-12-12" "2020-12-13"
[4366] "2020-12-14" "2020-12-15" "2020-12-16" "2020-12-17" "2020-12-18"
[4371] "2020-12-19" "2020-12-20" "2020-12-21" "2020-12-22" "2020-12-23"
[4376] "2020-12-24" "2020-12-25" "2020-12-26" "2020-12-27" "2020-12-28"
[4381] "2020-12-29" "2020-12-30" "2020-12-31" "2021-01-01" "2021-01-02"
[4386] "2021-01-03" "2021-01-04" "2021-01-05" "2021-01-06" "2021-01-07"
[4391] "2021-01-08" "2021-01-09" "2021-01-10" "2021-01-11" "2021-01-12"
[4396] "2021-01-13" "2021-01-14" "2021-01-15" "2021-01-16" "2021-01-17"
[4401] "2021-01-18" "2021-01-19" "2021-01-20" "2021-01-21" "2021-01-22"
[4406] "2021-01-23" "2021-01-24" "2021-01-25" "2021-01-26" "2021-01-27"
[4411] "2021-01-28" "2021-01-29" "2021-01-30" "2021-01-31" "2021-02-01"
[4416] "2021-02-02" "2021-02-03" "2021-02-04" "2021-02-05" "2021-02-06"
[4421] "2021-02-07" "2021-02-08" "2021-02-09" "2021-02-10" "2021-02-11"
[4426] "2021-02-12" "2021-02-13" "2021-02-14" "2021-02-15" "2021-02-16"
[4431] "2021-02-17" "2021-02-18" "2021-02-19" "2021-02-20" "2021-02-21"
[4436] "2021-02-22" "2021-02-23" "2021-02-24" "2021-02-25" "2021-02-26"
[4441] "2021-02-27" "2021-02-28" "2021-03-01" "2021-03-02" "2021-03-03"
[4446] "2021-03-04" "2021-03-05" "2021-03-06" "2021-03-07" "2021-03-08"
[4451] "2021-03-09" "2021-03-10" "2021-03-11" "2021-03-12" "2021-03-13"
[4456] "2021-03-14" "2021-03-15" "2021-03-16" "2021-03-17" "2021-03-18"
[4461] "2021-03-19" "2021-03-20" "2021-03-21" "2021-03-22" "2021-03-23"
[4466] "2021-03-24" "2021-03-25" "2021-03-26" "2021-03-27" "2021-03-28"
[4471] "2021-03-29" "2021-03-30" "2021-03-31" "2021-04-01" "2021-04-02"
[4476] "2021-04-03" "2021-04-04" "2021-04-05" "2021-04-06" "2021-04-07"
[4481] "2021-04-08" "2021-04-09" "2021-04-10" "2021-04-11" "2021-04-12"
[4486] "2021-04-13" "2021-04-14" "2021-04-15" "2021-04-16" "2021-04-17"
[4491] "2021-04-18" "2021-04-19" "2021-04-20" "2021-04-21" "2021-04-22"
[4496] "2021-04-23" "2021-04-24" "2021-04-25" "2021-04-26" "2021-04-27"
[4501] "2021-04-28" "2021-04-29" "2021-04-30" "2021-05-01" "2021-05-02"
[4506] "2021-05-03" "2021-05-04" "2021-05-05" "2021-05-06" "2021-05-07"
[4511] "2021-05-08" "2021-05-09" "2021-05-10" "2021-05-11" "2021-05-12"
[4516] "2021-05-13" "2021-05-14" "2021-05-15" "2021-05-16" "2021-05-17"
[4521] "2021-05-18" "2021-05-19" "2021-05-20" "2021-05-21" "2021-05-22"
[4526] "2021-05-23" "2021-05-24" "2021-05-25" "2021-05-26" "2021-05-27"
[4531] "2021-05-28" "2021-05-29" "2021-05-30" "2021-05-31" "2021-06-01"
[4536] "2021-06-02" "2021-06-03" "2021-06-04" "2021-06-05" "2021-06-06"
[4541] "2021-06-07" "2021-06-08" "2021-06-09" "2021-06-10" "2021-06-11"
[4546] "2021-06-12" "2021-06-13" "2021-06-14" "2021-06-15" "2021-06-16"
[4551] "2021-06-17" "2021-06-18" "2021-06-19" "2021-06-20" "2021-06-21"
[4556] "2021-06-22" "2021-06-23" "2021-06-24" "2021-06-25" "2021-06-26"
[4561] "2021-06-27" "2021-06-28" "2021-06-29" "2021-06-30" "2021-07-01"
[4566] "2021-07-02" "2021-07-03" "2021-07-04" "2021-07-05" "2021-07-06"
[4571] "2021-07-07" "2021-07-08" "2021-07-09" "2021-07-10" "2021-07-11"
[4576] "2021-07-12" "2021-07-13" "2021-07-14" "2021-07-15" "2021-07-16"
[4581] "2021-07-17" "2021-07-18" "2021-07-19" "2021-07-20" "2021-07-21"
[4586] "2021-07-22" "2021-07-23" "2021-07-24" "2021-07-25" "2021-07-26"
[4591] "2021-07-27" "2021-07-28" "2021-07-29" "2021-07-30" "2021-07-31"
[4596] "2021-08-01" "2021-08-02" "2021-08-03" "2021-08-04" "2021-08-05"
[4601] "2021-08-06" "2021-08-07" "2021-08-08" "2021-08-09" "2021-08-10"
[4606] "2021-08-11" "2021-08-12" "2021-08-13" "2021-08-14" "2021-08-15"
[4611] "2021-08-16" "2021-08-17" "2021-08-18" "2021-08-19" "2021-08-20"
[4616] "2021-08-21" "2021-08-22" "2021-08-23" "2021-08-24" "2021-08-25"
[4621] "2021-08-26" "2021-08-27" "2021-08-28" "2021-08-29" "2021-08-30"
[4626] "2021-08-31" "2021-09-01" "2021-09-02" "2021-09-03" "2021-09-04"
[4631] "2021-09-05" "2021-09-06" "2021-09-07" "2021-09-08" "2021-09-09"
[4636] "2021-09-10" "2021-09-11" "2021-09-12" "2021-09-13" "2021-09-14"
[4641] "2021-09-15" "2021-09-16" "2021-09-17" "2021-09-18" "2021-09-19"
[4646] "2021-09-20" "2021-09-21" "2021-09-22" "2021-09-23" "2021-09-24"
[4651] "2021-09-25" "2021-09-26" "2021-09-27" "2021-09-28" "2021-09-29"
[4656] "2021-09-30" "2021-10-01" "2021-10-02" "2021-10-03" "2021-10-04"
[4661] "2021-10-05" "2021-10-06" "2021-10-07" "2021-10-08" "2021-10-09"
[4666] "2021-10-10" "2021-10-11" "2021-10-12" "2021-10-13" "2021-10-14"
[4671] "2021-10-15" "2021-10-16" "2021-10-17" "2021-10-18" "2021-10-19"
[4676] "2021-10-20" "2021-10-21" "2021-10-22" "2021-10-23" "2021-10-24"
[4681] "2021-10-25" "2021-10-26" "2021-10-27" "2021-10-28" "2021-10-29"
[4686] "2021-10-30" "2021-10-31" "2021-11-01" "2021-11-02" "2021-11-03"
[4691] "2021-11-04" "2021-11-05" "2021-11-06" "2021-11-07" "2021-11-08"
[4696] "2021-11-09" "2021-11-10" "2021-11-11" "2021-11-12" "2021-11-13"
[4701] "2021-11-14" "2021-11-15" "2021-11-16" "2021-11-17" "2021-11-18"
[4706] "2021-11-19" "2021-11-20" "2021-11-21" "2021-11-22" "2021-11-23"
[4711] "2021-11-24" "2021-11-25" "2021-11-26" "2021-11-27" "2021-11-28"
[4716] "2021-11-29" "2021-11-30" "2021-12-01" "2021-12-02" "2021-12-03"
[4721] "2021-12-04" "2021-12-05" "2021-12-06" "2021-12-07" "2021-12-08"
[4726] "2021-12-09" "2021-12-10" "2021-12-11" "2021-12-12" "2021-12-13"
[4731] "2021-12-14" "2021-12-15" "2021-12-16" "2021-12-17" "2021-12-18"
[4736] "2021-12-19" "2021-12-20" "2021-12-21" "2021-12-22" "2021-12-23"
[4741] "2021-12-24" "2021-12-25" "2021-12-26" "2021-12-27" "2021-12-28"
[4746] "2021-12-29" "2021-12-30" "2021-12-31" "2022-01-01" "2022-01-02"
[4751] "2022-01-03" "2022-01-04" "2022-01-05" "2022-01-06" "2022-01-07"
[4756] "2022-01-08" "2022-01-09" "2022-01-10" "2022-01-11" "2022-01-12"
[4761] "2022-01-13" "2022-01-14" "2022-01-15" "2022-01-16" "2022-01-17"
[4766] "2022-01-18" "2022-01-19" "2022-01-20" "2022-01-21" "2022-01-22"
[4771] "2022-01-23" "2022-01-24" "2022-01-25" "2022-01-26" "2022-01-27"
[4776] "2022-01-28" "2022-01-29" "2022-01-30" "2022-01-31" "2022-02-01"
[4781] "2022-02-02" "2022-02-03" "2022-02-04" "2022-02-05" "2022-02-06"
[4786] "2022-02-07" "2022-02-08" "2022-02-09" "2022-02-10" "2022-02-11"
[4791] "2022-02-12" "2022-02-13" "2022-02-14" "2022-02-15" "2022-02-16"
[4796] "2022-02-17" "2022-02-18" "2022-02-19" "2022-02-20" "2022-02-21"
[4801] "2022-02-22" "2022-02-23" "2022-02-24" "2022-02-25" "2022-02-26"
[4806] "2022-02-27" "2022-02-28" "2022-03-01" "2022-03-02" "2022-03-03"
[4811] "2022-03-04" "2022-03-05" "2022-03-06" "2022-03-07" "2022-03-08"
[4816] "2022-03-09" "2022-03-10" "2022-03-11" "2022-03-12" "2022-03-13"
[4821] "2022-03-14" "2022-03-15" "2022-03-16" "2022-03-17" "2022-03-18"
[4826] "2022-03-19" "2022-03-20" "2022-03-21" "2022-03-22" "2022-03-23"
[4831] "2022-03-24" "2022-03-25" "2022-03-26" "2022-03-27" "2022-03-28"
[4836] "2022-03-29" "2022-03-30" "2022-03-31" "2022-04-01" "2022-04-02"
[4841] "2022-04-03" "2022-04-04" "2022-04-05" "2022-04-06" "2022-04-07"
[4846] "2022-04-08" "2022-04-09" "2022-04-10" "2022-04-11" "2022-04-12"
[4851] "2022-04-13" "2022-04-14" "2022-04-15" "2022-04-16" "2022-04-17"
[4856] "2022-04-18" "2022-04-19" "2022-04-20" "2022-04-21" "2022-04-22"
[4861] "2022-04-23" "2022-04-24" "2022-04-25" "2022-04-26" "2022-04-27"
[4866] "2022-04-28" "2022-04-29" "2022-04-30" "2022-05-01" "2022-05-02"
[4871] "2022-05-03" "2022-05-04" "2022-05-05" "2022-05-06" "2022-05-07"
[4876] "2022-05-08" "2022-05-09" "2022-05-10" "2022-05-11" "2022-05-12"
[4881] "2022-05-13" "2022-05-14" "2022-05-15" "2022-05-16" "2022-05-17"
[4886] "2022-05-18" "2022-05-19" "2022-05-20" "2022-05-21" "2022-05-22"
[4891] "2022-05-23" "2022-05-24" "2022-05-25" "2022-05-26" "2022-05-27"
[4896] "2022-05-28" "2022-05-29" "2022-05-30" "2022-05-31" "2022-06-01"
[4901] "2022-06-02" "2022-06-03" "2022-06-04" "2022-06-05" "2022-06-06"
[4906] "2022-06-07" "2022-06-08" "2022-06-09" "2022-06-10" "2022-06-11"
[4911] "2022-06-12" "2022-06-13" "2022-06-14" "2022-06-15" "2022-06-16"
[4916] "2022-06-17" "2022-06-18" "2022-06-19" "2022-06-20" "2022-06-21"
[4921] "2022-06-22" "2022-06-23" "2022-06-24" "2022-06-25" "2022-06-26"
[4926] "2022-06-27" "2022-06-28" "2022-06-29" "2022-06-30" "2022-07-01"
[4931] "2022-07-02" "2022-07-03" "2022-07-04" "2022-07-05" "2022-07-06"
[4936] "2022-07-07" "2022-07-08" "2022-07-09" "2022-07-10" "2022-07-11"
[4941] "2022-07-12" "2022-07-13" "2022-07-14" "2022-07-15" "2022-07-16"
[4946] "2022-07-17" "2022-07-18" "2022-07-19" "2022-07-20" "2022-07-21"
[4951] "2022-07-22" "2022-07-23" "2022-07-24" "2022-07-25" "2022-07-26"
[4956] "2022-07-27" "2022-07-28" "2022-07-29" "2022-07-30" "2022-07-31"
[4961] "2022-08-01" "2022-08-02" "2022-08-03" "2022-08-04" "2022-08-05"
[4966] "2022-08-06" "2022-08-07" "2022-08-08" "2022-08-09" "2022-08-10"
[4971] "2022-08-11" "2022-08-12" "2022-08-13" "2022-08-14" "2022-08-15"
[4976] "2022-08-16" "2022-08-17" "2022-08-18" "2022-08-19" "2022-08-20"
[4981] "2022-08-21" "2022-08-22" "2022-08-23" "2022-08-24" "2022-08-25"
[4986] "2022-08-26" "2022-08-27" "2022-08-28" "2022-08-29" "2022-08-30"
[4991] "2022-08-31" "2022-09-01" "2022-09-02" "2022-09-03" "2022-09-04"
[4996] "2022-09-05" "2022-09-06" "2022-09-07" "2022-09-08" "2022-09-09"
[5001] "2022-09-10" "2022-09-11" "2022-09-12" "2022-09-13" "2022-09-14"
[5006] "2022-09-15" "2022-09-16" "2022-09-17" "2022-09-18" "2022-09-19"
[5011] "2022-09-20" "2022-09-21" "2022-09-22" "2022-09-23" "2022-09-24"
[5016] "2022-09-25" "2022-09-26" "2022-09-27" "2022-09-28" "2022-09-29"
[5021] "2022-09-30" "2022-10-01" "2022-10-02" "2022-10-03" "2022-10-04"
[5026] "2022-10-05" "2022-10-06" "2022-10-07" "2022-10-08" "2022-10-09"
[5031] "2022-10-10" "2022-10-11" "2022-10-12" "2022-10-13" "2022-10-14"
[5036] "2022-10-15" "2022-10-16" "2022-10-17" "2022-10-18" "2022-10-19"
[5041] "2022-10-20" "2022-10-21" "2022-10-22" "2022-10-23" "2022-10-24"
[5046] "2022-10-25" "2022-10-26" "2022-10-27" "2022-10-28" "2022-10-29"
[5051] "2022-10-30" "2022-10-31" "2022-11-01" "2022-11-02" "2022-11-03"
[5056] "2022-11-04" "2022-11-05" "2022-11-06" "2022-11-07" "2022-11-08"
[5061] "2022-11-09" "2022-11-10" "2022-11-11" "2022-11-12" "2022-11-13"
[5066] "2022-11-14" "2022-11-15" "2022-11-16" "2022-11-17" "2022-11-18"
[5071] "2022-11-19" "2022-11-20" "2022-11-21" "2022-11-22" "2022-11-23"
[5076] "2022-11-24" "2022-11-25" "2022-11-26" "2022-11-27" "2022-11-28"
[5081] "2022-11-29" "2022-11-30" "2022-12-01" "2022-12-02" "2022-12-03"
[5086] "2022-12-04" "2022-12-05" "2022-12-06" "2022-12-07" "2022-12-08"
[5091] "2022-12-09" "2022-12-10" "2022-12-11" "2022-12-12" "2022-12-13"
[5096] "2022-12-14" "2022-12-15" "2022-12-16" "2022-12-17" "2022-12-18"
[5101] "2022-12-19" "2022-12-20" "2022-12-21" "2022-12-22" "2022-12-23"
[5106] "2022-12-24" "2022-12-25" "2022-12-26" "2022-12-27" "2022-12-28"
[5111] "2022-12-29" "2022-12-30" "2022-12-31" "2023-01-01"

seq(ymd_hm("2015-1-1 0:00"), ymd_hm("2015-1-1 12:00"), by = "hour")

 [1] "2015-01-01 00:00:00 UTC" "2015-01-01 01:00:00 UTC"
 [3] "2015-01-01 02:00:00 UTC" "2015-01-01 03:00:00 UTC"
 [5] "2015-01-01 04:00:00 UTC" "2015-01-01 05:00:00 UTC"
 [7] "2015-01-01 06:00:00 UTC" "2015-01-01 07:00:00 UTC"
 [9] "2015-01-01 08:00:00 UTC" "2015-01-01 09:00:00 UTC"
[11] "2015-01-01 10:00:00 UTC" "2015-01-01 11:00:00 UTC"
[13] "2015-01-01 12:00:00 UTC"

TourSriLanka

y.earnings <- earnings |> mutate(Date = seq(ymd_hm("2009-1-1 0:00"), ymd_hm("2023-12-1 12:00"), by = "month"))
y.earnings

# A tibble: 180 × 4
   Month     Year  Earnings Date               
   <chr>     <chr>    <dbl> <dttm>             
 1 January   2009      30   2009-01-01 00:00:00
 2 February  2009      26.7 2009-02-01 00:00:00
 3 March     2009      26.6 2009-03-01 00:00:00
 4 April     2009      20.3 2009-04-01 00:00:00
 5 May       2009      19.3 2009-05-01 00:00:00
 6 June      2009      23.6 2009-06-01 00:00:00
 7 July      2009      33   2009-07-01 00:00:00
 8 August    2009      32.2 2009-08-01 00:00:00
 9 September 2009      29.6 2009-09-01 00:00:00
10 October   2009      29.3 2009-10-01 00:00:00
# ℹ 170 more rows

Create year-month column

y.earnings <- y.earnings |>
  select(Earnings, Date) |> mutate(Time = yearmonth(Date))
y.earnings

# A tibble: 180 × 3
   Earnings Date                    Time
      <dbl> <dttm>                 <mth>
 1     30   2009-01-01 00:00:00 2009 Jan
 2     26.7 2009-02-01 00:00:00 2009 Feb
 3     26.6 2009-03-01 00:00:00 2009 Mar
 4     20.3 2009-04-01 00:00:00 2009 Apr
 5     19.3 2009-05-01 00:00:00 2009 May
 6     23.6 2009-06-01 00:00:00 2009 Jun
 7     33   2009-07-01 00:00:00 2009 Jul
 8     32.2 2009-08-01 00:00:00 2009 Aug
 9     29.6 2009-09-01 00:00:00 2009 Sep
10     29.3 2009-10-01 00:00:00 2009 Oct
# ℹ 170 more rows

Convert TourSriLanka to tsibble

ts.earnings <- y.earnings |>
  select(Earnings, Time) |> as_tsibble(index=Time)
ts.earnings

# A tsibble: 180 x 2 [1M]
   Earnings     Time
      <dbl>    <mth>
 1     30   2009 Jan
 2     26.7 2009 Feb
 3     26.6 2009 Mar
 4     20.3 2009 Apr
 5     19.3 2009 May
 6     23.6 2009 Jun
 7     33   2009 Jul
 8     32.2 2009 Aug
 9     29.6 2009 Sep
10     29.3 2009 Oct
# ℹ 170 more rows

Other time class functions

1. Quarterly: yearquarter()

2. Weekly: yearweek()

Your turn: Find about other time class functions.

Help: https://otexts.com/fpp3/tsibbles.html

Data Visualisation

ggts <- ts.earnings |>
  ggplot(aes(x = Time, y = Earnings)) +
  geom_point() +
  labs(y = "Earnings from tourism (USD Mn)", x="Time")  
ggts

Is it easy to identify the overall patterns?

Method 1

ggts <- ts.earnings |>
  ggplot(aes(x = Time, y = Earnings)) +
  geom_line() +
  labs(y = "Earnings from tourism (USD Mn)", x="Time")  
ggts

Method 2

library(feasts)
ts.earnings |>
  autoplot(Earnings) +
  labs(y = "Earnings from tourism (USD Mn)", x="Time") 

Customize Y axis

ts.earnings |>
    mutate(Time = as_date(yearmonth(Time))) |>
  ggplot(aes(x = Time, y = Earnings)) +
  geom_line() +
  scale_x_date(date_breaks = "1 year", date_labels = "%Y") + 
  labs(y = "Earnings from tourism (USD Mn)", x="Time") 

Customize Y axis (cont.)

ts.earnings |>
    mutate(Time = as_date(yearmonth(Time))) |>
  ggplot(aes(x = Time, y = Earnings)) +
  geom_line() +
  scale_x_date(date_breaks = "1 year", date_labels = "%Y") + 
  theme(axis.text.x = element_text(angle = 90, vjust = 0.5, hjust=1)) +
  labs(y = "Earnings from tourism (USD Mn)", x="Time") 

Customize Y axis (cont.)

ts.earnings |>
    mutate(Time = as_date(yearmonth(Time))) |>
  ggplot(aes(x = Time, y = Earnings)) +
  geom_line() +
  scale_x_date(date_breaks = "6 months", date_labels = "%b-%y") + 
  theme(axis.text.x = element_text(angle = 90, vjust = 0.5, hjust=1)) +
  labs(y = "Earnings from tourism (USD Mn)", x="Time") 

Add geom_point

ts.earnings |>
    mutate(Time = as_date(yearmonth(Time))) |>
  ggplot(aes(x = Time, y = Earnings)) +
  geom_line() +
  geom_point() + 
  scale_x_date(date_breaks = "1 year") + 
  theme(axis.text.x = element_text(angle = 90, vjust = 0.5, hjust=1)) +
  labs(y = "Earnings from tourism (USD Mn)", x="Time") 

Add geom_point: using autoplot

ts.earnings |>
    mutate(Time = as_date(yearmonth(Time))) |>
  autoplot(Earnings) + 
  geom_point() + 
  scale_x_date(date_breaks = "1 year") + 
  theme(axis.text.x = element_text(angle = 90, vjust = 0.5, hjust=1)) +
  labs(y = "Earnings from tourism (USD Mn)", x="Time") 

Change label format

ts.earnings |>
    mutate(Time = as_date(yearmonth(Time))) |>
  autoplot(Earnings) + 
  geom_point() + 
  scale_x_date(date_breaks = "1 year",  date_labels = "%b-%y") + 
  theme(axis.text.x = element_text(angle = 90, vjust = 0.5, hjust=1)) +
  labs(y = "Earnings from tourism (USD Mn)", x="Time") 

Area chart

ts.earnings |>
    mutate(Time = as_date(yearmonth(Time))) |>
  autoplot(Earnings) + 
  geom_area() + 
  scale_x_date(date_breaks = "1 year",  date_labels = "%b-%y") + 
  theme(axis.text.x = element_text(angle = 90, vjust = 0.5, hjust=1)) +
  labs(y = "Earnings from tourism (USD Mn)", x="Time") 

Seasonal plot

library(viridis)
ts.earnings |>
  gg_season(Earnings, period = "1 year")  

Change colour

library(viridis)
ts.earnings |>
  gg_season(Earnings, period = "1 year",  pal = scales::viridis_pal()(15))  

Add points

library(viridis)
ts.earnings |>
  gg_season(Earnings, period = "1 year",  pal = scales::viridis_pal()(15))  + geom_point() 

Polar Coordinate

library(viridis)
ts.earnings |>
  gg_season(Earnings, period = "1 year",  pal = scales::viridis_pal()(15), polar=TRUE)  + geom_point() 

Your turn

Obtain this graph using ggplot2 functions.

Seasonal sub series plot

ts.earnings |>
  gg_subseries(Earnings)  + geom_point() 

Your turn

Obtain the graph using ggplot2 functions.

Lag plots

ts.earnings |>
gg_lag(Earnings, geom = "point") +
  labs(x = "lag(Earnings)")

Multiple time series

Data set

# A tibble: 16 × 5
    year dengue.cases.indigenous dengue.cases.imported counties.with.dengue.fe…¹
   <int>                   <dbl>                 <dbl>                     <dbl>
 1  2005                       0                    45                         0
 2  2006                    1007                    46                        15
 3  2007                     481                    56                        13
 4  2008                      86                   134                        11
 5  2009                     200                    73                         5
 6  2010                     112                   119                        14
 7  2011                      35                   113                         6
 8  2012                     438                   149                        14
 9  2013                    4263                   460                        36
10  2014                   46034                   399                       160
11  2015                    3044                  1083                        44
12  2016                    1549                   675                        41
13  2017                    4609                  2112                        76
14  2018                    3801                  1266                       100
15  2019                   15378                  5813                       266
16  2020                     616                   158                         7
# ℹ abbreviated name: ¹​counties.with.dengue.fever.indigenous
# ℹ 1 more variable: counties.with.dengue.fever.imported <dbl>

Pre-processing data

# A tibble: 64 × 3
    year Type                                  Counts
   <int> <chr>                                  <dbl>
 1  2005 dengue.cases.indigenous                    0
 2  2005 dengue.cases.imported                     45
 3  2005 counties.with.dengue.fever.indigenous      0
 4  2005 counties.with.dengue.fever.imported       33
 5  2006 dengue.cases.indigenous                 1007
 6  2006 dengue.cases.imported                     46
 7  2006 counties.with.dengue.fever.indigenous     15
 8  2006 counties.with.dengue.fever.imported       33
 9  2007 dengue.cases.indigenous                  481
10  2007 dengue.cases.imported                     56
# ℹ 54 more rows

Converting to tsibble

cts.tsibble <- cts |>
as_tsibble(index=year, key=Type)
cts.tsibble

# A tsibble: 64 x 3 [1Y]
# Key:       Type [4]
    year Type                                Counts
   <int> <chr>                                <dbl>
 1  2005 counties.with.dengue.fever.imported     33
 2  2006 counties.with.dengue.fever.imported     33
 3  2007 counties.with.dengue.fever.imported     37
 4  2008 counties.with.dengue.fever.imported     62
 5  2009 counties.with.dengue.fever.imported     51
 6  2010 counties.with.dengue.fever.imported     64
 7  2011 counties.with.dengue.fever.imported     73
 8  2012 counties.with.dengue.fever.imported     86
 9  2013 counties.with.dengue.fever.imported    182
10  2014 counties.with.dengue.fever.imported    126
# ℹ 54 more rows

Multiple time series plot

cts.tsibble |>
autoplot(Counts) 

Your turn

1. Customize X-axis

2. Draw the plot using ggplot2 functions.

Faceting

cts.tsibble |>
autoplot(Counts) + facet_wrap(vars(Type), )

Free scales

cts.tsibble |>
autoplot(Counts) + facet_wrap(vars(Type), scales="free")

Legend position

cts.tsibble |>
autoplot(Counts) + facet_wrap(vars(Type), scales="free") + theme(legend.position = "bottom")

Your turn: Improve the graph by customizing the axis labels and tick marks.