This post will show simple way to calculate moving averages, calculate historical-flow quantiles, and plot that information. The goal is to reproduce the graph at this link: PA Graph. The motivation for this post was inspired by a USGS colleague that that is considering creating these type of plots in R. We thought this plot provided an especially fun challenge - maybe you will, too!
First we get the data using the dataRetrieval package. The siteNumber and parameterCd could be adjusted for other sites or measured parameters. In this example, we are getting discharge (parameter code 00060) at a site in PA.
It may be important to note that this script is a bit lazy in handling leap days.
library(dataRetrieval) # Retrieve daily Q siteNumber <- c("01538000") parameterCd <- "00060" # Discharge dailyQ <- readNWISdv(siteNumber, parameterCd) dailyQ <- renameNWISColumns(dailyQ) stationInfo <- readNWISsite(siteNumber) nrow(dailyQ)
Next, we calculate a 30-day moving average on all of the flow data:
library(dplyr) library(zoo) # Check for missing days, if so, add NA rows: if (as.numeric(diff(range(dailyQ$Date))) != (nrow(dailyQ) + 1)) { fullDates <- seq( from = min(dailyQ$Date), to = max(dailyQ$Date), by = "1 day" ) fullDates <- data.frame( Date = fullDates, agency_cd = unique(dailyQ$agency_cd), site_no = unique(dailyQ$site_no) ) dailyQ <- fullDates %>% left_join(dailyQ, by = c("Date", "agency_cd", "site_no") ) %>% arrange(Date) } dailyQ <- dailyQ %>% mutate( rollMean = rollmean(Flow, 30, fill = NA, align = "center"), day.of.year = as.numeric(strftime(Date, format = "%j" )) )
We can use the quantile
function to calculate historical percentile flows. Then use the loess
function for smoothing. The argument smooth.span
defines how much smoothing should be applied. To get a smooth transistion at the start of the graph, we can add include an earlier year which is not plotted at the end.
summaryQ <- dailyQ %>% group_by(day.of.year) %>% summarize( p75 = quantile(rollMean, probs = .75, na.rm = TRUE), p25 = quantile(rollMean, probs = .25, na.rm = TRUE), p10 = quantile(rollMean, probs = 0.1, na.rm = TRUE), p05 = quantile(rollMean, probs = 0.05, na.rm = TRUE), p00 = quantile(rollMean, probs = 0, na.rm = TRUE) ) current.year <- as.numeric(strftime(Sys.Date(), format = "%Y")) summary.0 <- summaryQ %>% mutate( Date = as.Date(day.of.year - 1, origin = paste0(current.year - 2, "-01-01") ), day.of.year = day.of.year - 365 ) summary.1 <- summaryQ %>% mutate(Date = as.Date(day.of.year - 1, origin = paste0(current.year - 1, "-01-01") )) summary.2 <- summaryQ %>% mutate( Date = as.Date(day.of.year - 1, origin = paste0(current.year, "-01-01") ), day.of.year = day.of.year + 365 ) summaryQ <- bind_rows(summary.0, summary.1, summary.2) smooth.span <- 0.3 summaryQ$sm.75 <- predict(loess(p75 ~ day.of.year, data = summaryQ, span = smooth.span)) summaryQ$sm.25 <- predict(loess(p25 ~ day.of.year, data = summaryQ, span = smooth.span)) summaryQ$sm.10 <- predict(loess(p10 ~ day.of.year, data = summaryQ, span = smooth.span)) summaryQ$sm.05 <- predict(loess(p05 ~ day.of.year, data = summaryQ, span = smooth.span)) summaryQ$sm.00 <- predict(loess(p00 ~ day.of.year, data = summaryQ, span = smooth.span)) latest.years <- dailyQ %>% filter(Date >= as.Date(paste0(current.year - 1, "-01-01"))) %>% mutate(day.of.year = seq_len(nrow(.))) # Let's just take the middle chunk: summaryQ <- summaryQ %>% filter(day.of.year %in% 1:365) summaryQ <- summaryQ %>% bind_rows( summaryQ, summaryQ ) %>% mutate(day.of.year = seq_len(nrow(.)) - 365)
Many of the graphical requirements defined by the USGS are difficult to achieve in ggplot2
. Base R plotting can be used to obtain these types of graphs:
title.text <- paste0( stationInfo$station_nm, "\n", "Provisional Data - Subject to change\n", "Record Start = ", min(dailyQ$Date), " Number of years = ", as.integer(as.numeric(difftime( time1 = max(dailyQ$Date), time2 = min(dailyQ$Date), units = "weeks" )) / 52.25), "\nDate of plot = ", Sys.Date(), " Drainage Area = ", stationInfo$drain_area_va, "mi^2" ) mid.month.days <- c(15, 45, 74, 105, 135, 166, 196, 227, 258, 288, 319, 349) month.letters <- c("J", "F", "M", "A", "M", "J", "J", "A", "S", "O", "N", "D") start.month.days <- c(1, 32, 61, 92, 121, 152, 182, 214, 245, 274, 305, 335) label.text <- c("Normal", "Drought Watch", "Drought Warning", "Drought Emergency") plot(latest.years$day.of.year, latest.years$rollMean, ylim = c(1, 1000), xlim = c(1, 733), log = "y", axes = FALSE, type = "n", xaxs = "i", yaxs = "i", ylab = "30-day moving ave", xlab = "" ) title(title.text, cex.main = 0.75) polygon(c(summaryQ$day.of.year, rev(summaryQ$day.of.year)), c(summaryQ$sm.75, rev(summaryQ$sm.25)), col = "darkgreen", border = FALSE ) polygon(c(summaryQ$day.of.year, rev(summaryQ$day.of.year)), c(summaryQ$sm.25, rev(summaryQ$sm.10)), col = "yellow", border = FALSE ) polygon(c(summaryQ$day.of.year, rev(summaryQ$day.of.year)), c(summaryQ$sm.10, rev(summaryQ$sm.05)), col = "orange", border = FALSE ) polygon(c(summaryQ$day.of.year, rev(summaryQ$day.of.year)), c(summaryQ$sm.05, rev(summaryQ$sm.00)), col = "red", border = FALSE ) lines(latest.years$day.of.year, latest.years$rollMean, lwd = 2, col = "black" ) abline(v = 366) axis(2, las = 1, at = c(1, 100, 1000), tck = -0.02) axis(2, at = c(seq(1, 90, by = 10)), labels = NA, tck = -0.01) axis(2, at = c(seq(100, 1000, by = 100)), labels = NA, tck = -0.01) axis(1, at = c(mid.month.days, 365 + mid.month.days), labels = rep(month.letters, 2), tick = FALSE, line = -0.5, cex.axis = 0.75 ) axis(1, at = c(start.month.days, 365 + start.month.days), labels = NA, tck = -0.02 ) axis(1, at = c(182, 547), labels = c(current.year - 1, current.year), line = .5, tick = FALSE ) legend("bottom", label.text, horiz = TRUE, fill = c("darkgreen", "yellow", "orange", "red"), inset = c(0, 0), xpd = TRUE, bty = "n", cex = 0.75 ) box()
Finally, we can also try to create the graph using the ggplot2
package. The following script shows a simple way to re-create the graph in ggplot2
with no effort on imitating desired style:
library(ggplot2) simple.plot <- ggplot(data = summaryQ, aes(x = day.of.year)) + geom_ribbon(aes(ymin = sm.25, ymax = sm.75, fill = "Normal")) + geom_ribbon(aes(ymin = sm.10, ymax = sm.25, fill = "Drought Watch")) + geom_ribbon(aes(ymin = sm.05, ymax = sm.10, fill = "Drought Warning")) + geom_ribbon(aes(ymin = sm.00, ymax = sm.05, fill = "Drought Emergency")) + scale_y_log10(limits = c(1, 1000)) + geom_line(data = latest.years, aes(x = day.of.year, y = rollMean, color = "30-Day Mean"), size = 2) + geom_vline(xintercept = 365) simple.plot
Next, we can play with various options to do a better job to imitate the style:
styled.plot <- simple.plot + scale_x_continuous( breaks = c(mid.month.days, 365 + mid.month.days), labels = rep(month.letters, 2), expand = c(0, 0), limits = c(0, 730) ) + annotation_logticks(sides = "l") + expand_limits(x = 0) + annotate( geom = "text", x = c(182, 547), y = 1, label = c(current.year - 1, current.year), size = 4 ) + theme_bw() + theme( axis.ticks.x = element_blank(), panel.grid.major = element_blank(), panel.grid.minor = element_blank() ) + labs(list( title = title.text, y = "30-day moving ave", x = "" )) + scale_fill_manual( name = "", breaks = label.text, values = c("red", "orange", "yellow", "darkgreen") ) + scale_color_manual(name = "", values = "black") + theme(legend.position = "bottom") styled.plot
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