Moving window regression on time series with defined starting point each day - r

I am trying to fit linear models to a time-series where the regression begins at midnight each day and uses all data until 0600 the following morning (covering a total of 30 hrs). I want to do this for every day in the time-series, and this also needs to be applied by a grouping factor. What I ultimately need is the regression coefficients added to the data frame for the day where the regression started. I am familiar with rolling and window regressions and how to apply functions across groups using dplyr. Where I am struggling is how to code that the regression needs to start at midnight each day. If I were to use a window function, after the first day it would be shifted ahead six hours from midnight and I am not sure how to shift the window back to midnight. Seems like I need to specify a window size and a lag/lead at each iteration but can't visualize how to implement that. Any insight is appreciated.
here is some sample data. I would like to model dv ~ datetime, by = grp
df <- dplyr::arrange(data.frame(datetime = seq(as.POSIXct("2020-09-19 00:00:00"), as.POSIXct("2020-09-30 00:00:00"),"hour"),
grp = rep(c('a', 'b', 'c'), 265),
dv = rnorm(795)),grp, datetime)

We assume that we want each regression to cover 30 rows (except for any stub at the end) and that we should move forward by 24 hours for each regression so that there is one regression per date within grp.
ans <- df %>%
group_by(grp) %>%
group_modify(~ {
r <- rollapplyr(1:nrow(.), 30, by = 24,
function(ix) coef(lm(dv ~ datetime, ., subset = ix)),
align = "left", partial = TRUE)
data.frame(date = head(unique(as.Date(.$datetime)), nrow(r)),
coef1 = r[, 1], coef2 = r[, 2])
}) %>%
ungroup
giving:
> ans
# A tibble: 36 x 4
grp date coef1 coef2
<chr> <date> <dbl> <dbl>
1 a 2020-09-19 -7698. 0.00000481
2 a 2020-09-20 -2048. 0.00000128
3 a 2020-09-21 -82.0 0.0000000514
4 a 2020-09-22 963. -0.000000602
5 a 2020-09-23 2323. -0.00000145
6 a 2020-09-24 5886. -0.00000368
7 a 2020-09-25 7212. -0.00000450
8 a 2020-09-26 -17448. 0.0000109
9 a 2020-09-27 1704. -0.00000106
10 a 2020-09-28 15731. -0.00000982
# ... with 26 more rows
old
After re-reading question I replaced this with the above.
Within group create g which groups the values since the last 6 am and let width be the number of rows since the most recent 6am row. Then run rollapplyr using the width vector to define the widths to regress over.
library(dplyr)
library(zoo)
ans <- df %>%
group_by(grp) %>%
group_modify(~ {
g <- cumsum(format(.$datetime, "%H") == "06")
width = 1:nrow(.) - match(g, g) + 1
r <- rollapplyr(1:nrow(.), width,
function(ix) coef(lm(dv ~ datetime, ., subset = ix)),
partial = TRUE, fill = NA)
mutate(., coef1 = r[, 1], coef2 = r[, 2])
}) %>%
ungroup
giving:
> ans
# A tibble: 795 x 5
grp datetime dv coef1 coef2
<chr> <dttm> <dbl> <dbl> <dbl>
1 a 2020-09-19 00:00:00 -0.560 -0.560 NA
2 a 2020-09-19 01:00:00 -0.506 -24071. 0.0000150
3 a 2020-09-19 02:00:00 -1.76 265870. -0.000166
4 a 2020-09-19 03:00:00 0.0705 -28577. 0.0000179
5 a 2020-09-19 04:00:00 1.95 -248499. 0.000155
6 a 2020-09-19 05:00:00 0.845 -205918. 0.000129
7 a 2020-09-19 06:00:00 0.461 0.461 NA
8 a 2020-09-19 07:00:00 0.359 45375. -0.0000284
9 a 2020-09-19 08:00:00 -1.40 412619. -0.000258
10 a 2020-09-19 09:00:00 -0.446 198902. -0.000124
# ... with 785 more rows
Note
Input used
set.seed(123)
df <- dplyr::arrange(data.frame(datetime = seq(as.POSIXct("2020-09-19 00:00:00"), as.POSIXct("2020-09-30 00:00:00"),"hour"),
grp = rep(c('a', 'b', 'c'), 265),
dv = rnorm(795)),grp, datetime)

Related

Interpolate and insert missing rows into dataframe R

I am working with a large time series of oceanographic data which needs a lot of manipulation.
I have several days of data missing and would like to interpolate them. Specifically date/depth/temperature.
Here is an example of my df:
> tibble(df)
# A tibble: 351,685 x 9
date time depthR SV temp salinity conduct density calcSV
<date> <times> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl>
1 2021-11-17 07:50:18 0.5 1524. 19.7 37.8 51.0 27 1524.
2 2021-11-17 07:50:22 0.5 1524. 19.9 37.6 50.9 26.8 1524.
3 2021-11-17 07:50:23 1.1 1524. 19.9 37.6 50.9 26.8 1524.
4 2021-11-17 07:50:24 1.5 1524. 19.9 37.6 50.9 26.8 1524.
5 2021-11-17 07:50:25 2 1524. 19.9 37.6 50.9 26.8 1524.
Each date contains over 1000 lines of data and so my idea was to find the max depth of each day to therefore interpolate reasonable max depth values for the missing days between.
So far, I have found the max depth per date:
group <- df %>% group_by(date) %>% summarise(max =max(depthR, na.rm=TRUE))
> tibble(group)
# A tibble: 40 x 2
date max
<date> <dbl>
1 2021-11-17 685.
2 2021-11-18 695.
3 2021-11-19 136.
4 2021-11-20 138.
5 2021-11-21 142.
6 2021-11-22 26
7 2021-11-23 136.
8 2021-11-24 297.
9 2021-11-25 613.
10 2021-11-26 81.1
# ... with 30 more rows
And then I managed to interpolate the missing dates by:
> group <- seq(min(group$date), max(group$date), by = "1 day")
> group <- data.frame(date=group)
> tibble(group)
# A tibble: 69 x 1
date
<date>
1 2021-11-17
2 2021-11-18
3 2021-11-19
4 2021-11-20
5 2021-11-21
6 2021-11-22
7 2021-11-23
8 2021-11-24
9 2021-11-25
10 2021-11-26
# ... with 59 more rows
As you can see, the previous query was overwritten.
So I tried creating a new df for the interpolated dates and tried merging them together. I got the error:
> library(stringr)
> group$combined <- str_c(group$date, '', dateinterp$date)
Error: Assigned data `str_c(group$date, "", dateinterp$date)` must be compatible with existing data.
x Existing data has 40 rows.
x Assigned data has 69 rows.
i Only vectors of size 1 are recycled.
How can I insert these two matrices of differing length into the dataframe in chronological order without overwriting original data or conflicting?
Following that, I'm not sure how I would proceed to interpolate the depths and temperatures for each date.
Perhaps starting with something like the following:
depth = seq(1, 200, length.out = 100))
Eventually the date variable will be exchanged for geo coords.
Any advice greatly appreciated.
EDIT: As requested by #AndreaM, an example of my data:
> dput(head(df))
structure(list(date = structure(c(18948, 18948, 18948, 18948,
18948, 18948), class = "Date"), time = structure(c(0.326597222222222,
0.326643518518519, 0.326655092592593, 0.326666666666667, 0.326678240740741,
0.326712962962963), format = "h:m:s", class = "times"), depth = c(0.5,
0.5, 1.1, 1.5, 2, 2.5), SV = c(1524.024, 1524.026, 1524.025,
1524.008, 1524.016, 1524.084), temp = c(19.697, 19.864, 19.852,
19.854, 19.856, 19.847), salinity = c(37.823, 37.561, 37.557,
37.568, 37.573, 37.704), conduct = c(51.012, 50.878, 50.86, 50.876,
50.884, 51.032), density = c(27, 26.755, 26.758, 26.768, 26.773,
26.877), calcSV = c(1523.811, 1523.978, 1523.949, 1523.975, 1523.993,
1524.124)), row.names = 100838:100843, class = "data.frame")
one approach, adapt to your case as appropriate:
library(dplyr)
library(lubridate) ## facilitates date-time manipulations
## example data:
patchy_data <- data.frame(date = as.Date('2021-11-01') + sample(1:10, 6),
value = rnorm(12)) %>%
arrange(date)
## create vector of -only!- missing dates:
missing_dates <-
setdiff(
seq.Date(from = min(patchy_data$date),
to = max(patchy_data$date),
by = '1 day'
),
patchy_data$date
) %>% as.Date(origin = '1970-01-01')
## extend initial dataframe with rows per missing date:
full_data <-
patchy_data %>%
bind_rows(data.frame(date = missing_dates,
value = NA)
) %>%
arrange(date)
## group by month and impute missing data from monthwise statistic:
full_data %>%
mutate(month = lubridate::month(date)) %>%
group_by(month) %>%
## coalesce conveniently replaces ifelse-constructs to replace NAs
mutate(imputed = coalesce(.$value, mean(.$value, na.rm = TRUE)))
edit
One possibility to granulate generated data (missing dates) with additional parameters (e. g. measuring depths) is to use expand.grid as follows. Assuming object names from previous code:
## depths of daily measurements:
observation_depths <- c(0.5, 1.1, 1.5) ## example
## generate dataframe with missing dates x depths:
missing_dates_and_depths <-
setNames(expand.grid(missing_dates, observation_depths),
c('date','depthR')
)
## stack both dataframes as above:
full_data <-
patchy_data %>%
bind_rows(missing_dates_and_depths) %>%
arrange(date)

How to calculate a time period until a condition is matched

I need to calculate a time of consecutive dates, until the difference of time between two consecutive dates is greater than 13 seconds.
For example, in the data frame create with the code shown below, the column test has the time difference between the dates. What I need is events of time between lines with test > 13 seconds.
# Create a vector of dates with a random time difference in seconds between records
dates <- seq(as.POSIXct("2020-01-01 00:00:02"), as.POSIXct("2020-01-02 00:00:02"), by = "2 sec")
dates <- dates + sample(15, length(dates), replace = T)
# Create a data.frame
data <- data.frame(id = 1:length(dates), dates = dates)
# Create a test field with the time difference between each date and the next
data$test <- c(diff(data$dates, lag = 1), 0)
# Delete the zero and negative time
data <- data[data$test > 0, ]
head(data)
What I want is something like this:
To get to your desired result we need to define 'blocks' of observation. Each block is splitted where test is greater than 13.
We start identifying the split_point, and then using the rle function we can assign an ID to each block.
Then we can filter out the split_point, and summarize the remaining blocks. Once with the sum of seconds, then with the min of the event dates.
split_point <- data$test <=13
# Find continuous blocks
block_str <- rle(split_point)
# Create block IDs
data$block <- rep(seq_along(block_str$lengths), block_str$lengths)
data <- data[split_point, ] # Remove split points
# Summarize
final_df <- aggregate(test ~ block, data = data, FUN = sum)
dtevent <- aggregate(dates ~ block, data= data, FUN=min)
# Join the two summaries
final_df$DatetimeEvent <- dtevent$dates
head(final_df)
#> block test DatetimeEvent
#> 1 1 101 2020-01-01 00:00:09
#> 2 3 105 2020-01-01 00:01:11
#> 3 5 277 2020-01-01 00:02:26
#> 4 7 46 2020-01-01 00:04:58
#> 5 9 27 2020-01-01 00:05:30
#> 6 11 194 2020-01-01 00:05:44
Created on 2020-04-02 by the reprex package (v0.3.0)
Using dplyrfor convenience sake:
library(dplyr)
final_df <- data %>%
mutate(split_point = test <= 13,
block = with(rle(split_point), rep(seq_along(lengths), lengths))) %>%
group_by(block) %>%
filter(split_point) %>%
summarise(DateTimeEvent = min(dates), TotalTime = sum(test))
final_df
#> # A tibble: 1,110 x 3
#> block DateTimeEvent TotalTime
#> <int> <dttm> <drtn>
#> 1 1 2020-01-01 00:00:06 260 secs
#> 2 3 2020-01-01 00:02:28 170 secs
#> 3 5 2020-01-01 00:04:11 528 secs
#> 4 7 2020-01-01 00:09:07 89 secs
#> 5 9 2020-01-01 00:10:07 37 secs
#> 6 11 2020-01-01 00:10:39 135 secs
#> 7 13 2020-01-01 00:11:56 50 secs
#> 8 15 2020-01-01 00:12:32 124 secs
#> 9 17 2020-01-01 00:13:52 98 secs
#> 10 19 2020-01-01 00:14:47 83 secs
#> # … with 1,100 more rows
Created on 2020-04-02 by the reprex package (v0.3.0)
(results are different because reprex recreates the data each time)

Efficient Group Variable to Note When Values Fall Between Two Times

I have a dataset that contains start and end time stamps, as well as a performance percentage. I'd like to calculate group statistics over hourly blocks, e.g. "the average performance for the midnight hour was x%."
My question is if there is a more efficient way to do this than a series of ifelse() statements.
# some sample data
pre.starting <- data.frame(starting = format(seq.POSIXt(from =
as.POSIXct(Sys.Date()), to = as.POSIXct(Sys.Date()+1), by = "5 min"),
"%H:%M", tz="GMT"))
pre.ending <- data.frame(ending = pre.starting[seq(1, nrow(pre.starting),
2), ])
ending2 <- pre.ending[-c(1), ]
starting2 <- data.frame(pre.starting = pre.starting[!(pre.starting$starting
%in% pre.ending$ending),])
dataset <- data.frame(starting = starting2
, ending = ending2
, perct = rnorm(nrow(starting2), 0.5, 0.2))
For example, I could create hour blocks with code along the lines of the following:
dataset2 <- dataset %>%
mutate(hour = ifelse(starting >= 00:00 & ending < 01:00, 12
, ifelse(starting >= 01:00 & ending < 02:00, 1
, ifelse(starting >= 02:00 & ending < 03:00, 13)))
) %>%
group_by(hour) %>%
summarise(mean.perct = mean(perct, na.rm=T))
Is there a way to make this code more efficient, or improve beyond ifelse()?
We can use cut ending hour based on hourly interval after converting timestamps into POSIXct and then take mean for each hour.
library(dplyr)
dataset %>%
mutate_at(vars(pre.starting, ending), as.POSIXct, format = "%H:%M") %>%
group_by(ending_hour = cut(ending, breaks = "1 hour")) %>%
summarise(mean.perct = mean(perct, na.rm = TRUE))
# ending_hour mean.perct
# <fct> <dbl>
# 1 2019-09-30 00:00:00 0.540
# 2 2019-09-30 01:00:00 0.450
# 3 2019-09-30 02:00:00 0.612
# 4 2019-09-30 03:00:00 0.470
# 5 2019-09-30 04:00:00 0.564
# 6 2019-09-30 05:00:00 0.437
# 7 2019-09-30 06:00:00 0.413
# 8 2019-09-30 07:00:00 0.397
# 9 2019-09-30 08:00:00 0.492
#10 2019-09-30 09:00:00 0.613
# … with 14 more rows

How to rewrite an R loop taking averages of every 15 observations to same code but without a loop

I am dealing with a huge dataset (years of 1-minute-interval observations of energy usage). I want to convert it from 1-min-interval to 15-min-interval.
I have written a for loop which does this successfully (tested on a small subset of the data); however, when I tried running it on the main data, it was executing very slowly - and it would have taken me over 175 hours to run the full loop (I stopped it mid-execution).
The data to be converted to the 15-th minute interval is the kWh usage; thusly converting it simply requires taking the average of the first 15th observations, then the second 15th, etc. This is the loop that's working:
# Opening the file
data <- read.csv("1.csv",colClasses="character",na.strings="?")
# Adding an index to each row
total <- nrow(data)
data$obsnum <- seq.int(nrow(data))
# Calculating 15 min kwH usage
data$use_15_min <- data$use
for (i in 1:total) {
int_used <- floor((i-1)/15)
obsNum <- 15*int_used
sum <- 0
for (j in 1:15) {
usedIndex <- as.numeric(obsNum+j)
sum <- as.numeric(data$use[usedIndex]) + sum
}
data$use_15_min[i] <- sum/15
}
I have been searching for a function that can do the same, but without using loops, as I imagine this should save much time. Yet, I haven't been able to find one. How is it possible to achieve the same functionality without using a loop?
Try data.table:
library(data.table)
DT <- data.table(data)
n <- nrow(DT)
DT[, use_15_min := mean(use), by = gl(n, 15, n)]
Note
The question is missing the input data so we used this:
data <- data.frame(use = 1:100)
A potential solution is to calculate the running mean (e.g. using TTR::runMean) and then select every 15th observations. Here is an example:
df = data.frame(x = 1:100, y = runif(100))
df['runmean'] = TTR::runMean(df['y'], n=15)
df_15 = df[seq(1,nrow(df), 15), ]
I cannot test it, as I do not have Your data, but perhaps:
total <- nrow(data)
data$use_15_min = TTR::runMean(data$use, n=15)
data_15_min = data[seq(1, nrow(df), 15)]
I would use lubridate::floor_date to create the 15-minute groupings.
library(tidyverse)
library(lubridate)
df <- tibble(
date = seq(ymd_hm("2019-01-01 00:00"), by = "min", length.out = 60 * 24 * 7),
value = rnorm(n = 60 * 24 * 7)
)
df
#> # A tibble: 10,080 x 2
#> date value
#> <dttm> <dbl>
#> 1 2019-01-01 00:00:00 0.182
#> 2 2019-01-01 00:01:00 0.616
#> 3 2019-01-01 00:02:00 -0.252
#> 4 2019-01-01 00:03:00 0.0726
#> 5 2019-01-01 00:04:00 -0.917
#> 6 2019-01-01 00:05:00 -1.78
#> 7 2019-01-01 00:06:00 -1.49
#> 8 2019-01-01 00:07:00 -0.818
#> 9 2019-01-01 00:08:00 0.275
#> 10 2019-01-01 00:09:00 1.26
#> # ... with 10,070 more rows
df %>%
mutate(
nearest_15_mins = floor_date(date, "15 mins")
) %>%
group_by(nearest_15_mins) %>%
summarise(
avg_value_at_15_mins_int = mean(value)
)
#> # A tibble: 672 x 2
#> nearest_15_mins avg_value_at_15_mins_int
#> <dttm> <dbl>
#> 1 2019-01-01 00:00:00 -0.272
#> 2 2019-01-01 00:15:00 -0.129
#> 3 2019-01-01 00:30:00 0.173
#> 4 2019-01-01 00:45:00 -0.186
#> 5 2019-01-01 01:00:00 -0.188
#> 6 2019-01-01 01:15:00 0.104
#> 7 2019-01-01 01:30:00 -0.310
#> 8 2019-01-01 01:45:00 -0.173
#> 9 2019-01-01 02:00:00 0.0137
#> 10 2019-01-01 02:15:00 0.419
#> # ... with 662 more rows

Sum between two weeks interval

Suppose I have a daily rain data.frame like this:
df.meteoro = data.frame(Dates = seq(as.Date("2017/1/19"), as.Date("2018/1/18"), "days"),
rain = rnorm(length(seq(as.Date("2017/1/19"), as.Date("2018/1/18"), "days"))))
I'm trying to sum the accumulated rain between a 14 days interval with this code:
library(tidyverse)
library(lubridate)
df.rain <- df.meteoro %>%
mutate(TwoWeeks = round_date(df.meteoro$data, "14 days")) %>%
group_by(TwoWeeks) %>%
summarise(sum_rain = sum(rain))
The problem is that it isn't starting on 2017-01-19 but on 2017-01-15 and I was expecting my output dates to be:
"2017-02-02" "2017-02-16" "2017-03-02" "2017-03-16" "2017-03-30" "2017-04-13"
"2017-04-27" "2017-05-11" "2017-05-25" "2017-06-08" "2017-06-22" "2017-07-06" "2017-07-20"
"2017-08-03" "2017-08-17" "2017-08-31" "2017-09-14" "2017-09-28" "2017-10-12" "2017-10-26"
"2017-11-09" "2017-11-23" "2017-12-07" "2017-12-21" "2018-01-04" "2018-01-18"
TL;DR I have a year long daily rain data.frame and want to sum the accumulate rain for the dates above.
Please help.
Use of round_date in the way you have shown it will not give you 14-day periods as you might expect. I have taken a different approach in this solution and generated a sequence of dates between your first and last dates and grouped these into 14-day periods then joined the dates to your observations.
startdate = min(df.meteoro$Dates)
enddate = max(df.meteoro$Dates)
dateseq =
data.frame(Dates = seq.Date(startdate, enddate, by = 1)) %>%
mutate(group = as.numeric(Dates - startdate) %/% 14) %>%
group_by(group) %>%
mutate(starts = min(Dates))
df.rain <- df.meteoro %>%
right_join(dateseq) %>%
group_by(starts) %>%
summarise(sum_rain = sum(rain))
head(df.rain)
> head(df.rain)
# A tibble: 6 x 2
starts sum_rain
<date> <dbl>
1 2017-01-19 6.09
2 2017-02-02 5.55
3 2017-02-16 -3.40
4 2017-03-02 2.55
5 2017-03-16 -0.12
6 2017-03-30 8.95
Using a right-join to the date sequence is to ensure that if there are missing observation days that spanned a complete time period you'd still get that period listed in the result (though in your case you have a complete year of dates anyway).
round_date rounds to the nearest multiple of unit (here, 14 days) since some epoch (probably the Unix epoch of 1970-01-01 00:00:00), which doesn't line up with your purpose.
To get what you want, you can do the following:
df.rain = df.meteoro %>%
mutate(days_since_start = as.numeric(Dates - as.Date("2017/1/18")),
TwoWeeks = as.Date("2017/1/18") + 14*ceiling(days_since_start/14)) %>%
group_by(TwoWeeks) %>%
summarise(sum_rain = sum(rain))
This computes days_since_start as the days since 2017/1/18 and then manually rounds to the next multiple of two weeks.
Assuming you want to round to the closest date from the ones you have specified I guess the following will work
targetDates<-seq(ymd("2017-02-02"),ymd("2018-01-18"),by='14 days')
df.meteoro$Dates=targetDates[sapply(df.meteoro$Dates,function(x) which.min(abs(interval(targetDates,x))))]
sum_rain=ddply(df.meteoro,.(Dates),summarize,sum_rain=sum(rain,na.rm=T))
as you can see not all dates have the same number of observations. Date "2017-02-02" for instance has all the records between "2017-01-19" until "2017-02-09", which are 22 records. From "2017-02-10" on dates are rounded to "2017-02-16" etc.
This may be a cheat, but assuming each row/observation is a separate day, then why not just group by every 14 rows and sum.
# Assign interval groups, each 14 rows
df.meteoro$my_group <-rep(1:100, each=14, length.out=nrow(df.meteoro))
# Grab Interval Names
my_interval_names <- df.meteoro %>%
select(-rain) %>%
group_by(my_group) %>%
slice(1)
# Summarise
df.meteoro %>%
group_by(my_group) %>%
summarise(rain = sum(rain)) %>%
left_join(., my_interval_names)
#> Joining, by = "my_group"
#> # A tibble: 27 x 3
#> my_group rain Dates
#> <int> <dbl> <date>
#> 1 1 3.86 2017-01-19
#> 2 2 -0.581 2017-02-02
#> 3 3 -0.876 2017-02-16
#> 4 4 1.80 2017-03-02
#> 5 5 3.79 2017-03-16
#> 6 6 -3.50 2017-03-30
#> 7 7 5.31 2017-04-13
#> 8 8 2.57 2017-04-27
#> 9 9 -1.33 2017-05-11
#> 10 10 5.41 2017-05-25
#> # ... with 17 more rows
Created on 2018-03-01 by the reprex package (v0.2.0).

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