Mercurial > repos > greg > insect_phenology_model
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author | greg |
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date | Tue, 08 Aug 2017 13:14:39 -0400 |
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children | 24fa0d35a8bf |
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#!/usr/bin/env Rscript suppressPackageStartupMessages(library("optparse")) option_list <- list( make_option(c("-a", "--adult_mort"), action="store", dest="adult_mort", type="integer", help="Adjustment rate for adult mortality"), make_option(c("-b", "--adult_accum"), action="store", dest="adult_accum", type="integer", help="Adjustment of DD accumulation (old nymph->adult)"), make_option(c("-c", "--egg_mort"), action="store", dest="egg_mort", type="integer", help="Adjustment rate for egg mortality"), make_option(c("-d", "--latitude"), action="store", dest="latitude", type="double", help="Latitude of selected location"), make_option(c("-e", "--location"), action="store", dest="location", help="Selected location"), make_option(c("-f", "--min_clutch_size"), action="store", dest="min_clutch_size", type="integer", help="Adjustment of minimum clutch size"), make_option(c("-i", "--max_clutch_size"), action="store", dest="max_clutch_size", type="integer", help="Adjustment of maximum clutch size"), make_option(c("-j", "--nymph_mort"), action="store", dest="nymph_mort", type="integer", help="Adjustment rate for nymph mortality"), make_option(c("-k", "--old_nymph_accum"), action="store", dest="old_nymph_accum", type="integer", help="Adjustment of DD accumulation (young nymph->old nymph)"), make_option(c("-o", "--output"), action="store", dest="output", help="Output dataset"), make_option(c("-p", "--oviposition"), action="store", dest="oviposition", type="integer", help="Adjustment for oviposition rate"), make_option(c("-q", "--photoperiod"), action="store", dest="photoperiod", type="double", help="Critical photoperiod for diapause induction/termination"), make_option(c("-s", "--replications"), action="store", dest="replications", type="integer", help="Number of replications"), make_option(c("-t", "--se_plot"), action="store", dest="se_plot", help="Plot SE"), make_option(c("-u", "--year"), action="store", dest="year", type="integer", help="Starting year"), make_option(c("-v", "--temperature_dataset"), action="store", dest="temperature_dataset", help="Temperature data for selected location"), make_option(c("-y", "--young_nymph_accum"), action="store", dest="young_nymph_accum", type="integer", help="Adjustment of DD accumulation (egg->young nymph)") ) parser <- OptionParser(usage="%prog [options] file", option_list=option_list) args <- parse_args(parser, positional_arguments=TRUE) opt <- args$options data.input=function(loc, year, temperature.dataset) { expdata <- matrix(rep(0, 365 * 3), nrow=365) namedat <- paste(loc, year, ".Rdat", sep="") temp.data <- read.csv(file=temperature.dataset, header=T) expdata[,1] <- c(1:365) # Minimum expdata[,2] <- temp.data[c(1:365), 3] # Maximum expdata[,3] <- temp.data[c(1:365), 2] save(expdata, file=namedat) namedat } daylength=function(latitude) { # from Forsythe 1995 p=0.8333 dl <- NULL for (i in 1:365) { theta <- 0.2163108 + 2 * atan(0.9671396 * tan(0.00860 * (i - 186))) phi <- asin(0.39795 * cos(theta)) dl[i] <- 24 - 24 / pi * acos((sin(p * pi / 180) + sin(latitude * pi / 180) * sin(phi)) / (cos(latitude * pi / 180) * cos(phi))) } dl # return a vector of daylength in 365 days } hourtemp=function(latitude, date, temperature_file_path) { load(temperature_file_path) threshold <- 14.17 # base development threshold for BMSB dnp <- expdata[date, 2] # daily minimum dxp <- expdata[date, 3] # daily maximum dmean <- 0.5 * (dnp + dxp) dd <- 0 # initialize degree day accumulation if (dxp<threshold) { dd <- 0 } else { dlprofile <- daylength(latitude) # extract daylength data for entire year T <- NULL # initialize hourly temperature dh <- NULL #initialize degree hour vector # date <- 200 y <- dlprofile[date] # calculate daylength in given date z <- 24 - y # night length a <- 1.86 # lag coefficient b <- 2.20 # night coefficient #tempdata <- read.csv("tempdata.csv") #import raw data set # Should be outside function otherwise its redundant risetime <- 12 - y / 2 # sunrise time settime <- 12 + y / 2 # sunset time ts <- (dxp - dnp) * sin(pi * (settime - 5) / (y + 2 * a)) + dnp for (i in 1:24) { if (i > risetime && i<settime) { m <- i - 5 # number of hours after Tmin until sunset T[i]=(dxp - dnp) * sin(pi * m / (y + 2 * a)) + dnp if (T[i]<8.4) { dh[i] <- 0 } else { dh[i] <- T[i] - 8.4 } } else if (i > settime) { n <- i - settime T[i]=dnp + (ts - dnp) * exp( - b * n / z) if (T[i]<8.4) { dh[i] <- 0 } else { dh[i] <- T[i] - 8.4 } } else { n <- i + 24 - settime T[i]=dnp + (ts - dnp) * exp( - b * n / z) if (T[i]<8.4) { dh[i] <- 0 } else { dh[i] <- T[i] - 8.4 } } } dd <- sum(dh) / 24 } return=c(dmean, dd) return } dev.egg = function(temperature) { dev.rate= -0.9843 * temperature + 33.438 return = dev.rate return } dev.young = function(temperature) { n12 <- -0.3728 * temperature + 14.68 n23 <- -0.6119 * temperature + 25.249 dev.rate = mean(n12 + n23) return = dev.rate return } dev.old = function(temperature) { n34 <- -0.6119 * temperature + 17.602 n45 <- -0.4408 * temperature + 19.036 dev.rate = mean(n34 + n45) return = dev.rate return } dev.emerg = function(temperature) { emerg.rate <- -0.5332 * temperature + 24.147 return = emerg.rate return } mortality.egg = function(temperature) { if (temperature < 12.7) { mort.prob = 0.8 } else { mort.prob = 0.8 - temperature / 40.0 if (mort.prob < 0) { mort.prob = 0.01 } } return = mort.prob return } mortality.nymph = function(temperature) { if (temperature < 12.7) { mort.prob = 0.03 } else { mort.prob = temperature * 0.0008 + 0.03 } return = mort.prob return } mortality.adult = function(temperature) { if (temperature < 12.7) { mort.prob = 0.002 } else { mort.prob = temperature * 0.0005 + 0.02 } return = mort.prob return } cat("Replications: ", opt$replications, "\n") cat("Photoperiod: ", opt$photoperiod, "\n") cat("Oviposition rate: ", opt$oviposition, "\n") cat("Egg mortality rate: ", opt$egg_mort, "\n") cat("Nymph mortality rate: ", opt$nymph_mort, "\n") cat("Adult mortality rate: ", opt$adult_mort, "\n") cat("Min clutch size: ", opt$min_clutch_size, "\n") cat("Max clutch size: ", opt$max_clutch_size, "\n") cat("(egg->young nymph): ", opt$young_nymph_accum, "\n") cat("(young nymph->old nymph): ", opt$old_nymph_accum, "\n") cat("(old nymph->adult): ", opt$adult_accum, "\n") # Read in the input temperature datafile temperature_file_path <- data.input(opt$location, opt$year, opt$temperature_dataset) # Initialize matrix for results from all replications S0.rep <- S1.rep <- S2.rep <- S3.rep <- S4.rep <- S5.rep <- matrix(rep(0, 365 * opt$replications), ncol = opt$replications) newborn.rep <- death.rep <- adult.rep <- pop.rep <- g0.rep <- g1.rep <- g2.rep <- g0a.rep <- g1a.rep <- g2a.rep <- matrix(rep(0, 365 * opt$replications), ncol=opt$replications) # loop through replications for (N.rep in 1:opt$replications) { # during each replication # start with 1000 individuals -- user definable as well? n <- 1000 # Generation, Stage, DD, T, Diapause vec.ini <- c(0, 3, 0, 0, 0) # overwintering, previttelogenic, DD=0, T=0, no-diapause vec.mat <- rep(vec.ini, n) # complete matrix for the population vec.mat <- t(matrix(vec.mat, nrow=5)) # complete photoperiod profile in a year, requires daylength function ph.p <- daylength(opt$latitude) # time series of population size tot.pop <- NULL # gen.0 pop size gen0.pop <- rep(0, 365) gen1.pop <- rep(0, 365) gen2.pop <- rep(0, 365) S0 <- S1 <- S2 <- S3 <- S4 <- S5 <- rep(0, 365) g0.adult <- g1.adult <- g2.adult <- rep(0, 365) N.newborn <- N.death <- N.adult <- rep(0, 365) dd.day <- rep(0, 365) # start tick ptm <- proc.time() # all the days for (day in 1:365) { # photoperiod in the day photoperiod <- ph.p[day] temp.profile <- hourtemp(opt$latitude, day, temperature_file_path) mean.temp <- temp.profile[1] dd.temp <- temp.profile[2] dd.day[day] <- dd.temp # trash bin for death death.vec <- NULL # new born birth.vec <- NULL # all individuals for (i in 1:n) { # find individual record vec.ind <- vec.mat[i,] # first of all, still alive? # adjustment for late season mortality rate if (opt$latitude < 40.0) { post.mort <- 1 day.kill <- 300 } else { post.mort <- 2 day.kill <- 250 } if (vec.ind[2] == 0) { # egg death.prob = opt$egg_mort * mortality.egg(mean.temp) } else if (vec.ind[2] == 1 | vec.ind[2] == 2) { death.prob = opt$nymph_mort * mortality.nymph(mean.temp) } else if (vec.ind[2] == 3 | vec.ind[2] == 4 | vec.ind[2] == 5) { # for adult if (day < day.kill) { death.prob = opt$adult_mort * mortality.adult(mean.temp) } else { # increase adult mortality after fall equinox death.prob = opt$adult_mort * post.mort * mortality.adult(mean.temp) } } # (or dependent on temperature and life stage?) u.d <- runif(1) if (u.d < death.prob) { death.vec <- c(death.vec, i) } else { # aggregrate index of dead bug # event 1 end of diapause if (vec.ind[1] == 0 && vec.ind[2] == 3) { # overwintering adult (previttelogenic) if (photoperiod > opt$photoperiod && vec.ind[3] > 68 && day < 180) { # add 68C to become fully reproductively matured # transfer to vittelogenic vec.ind <- c(0, 4, 0, 0, 0) vec.mat[i,] <- vec.ind } else { # add to DD vec.ind[3] <- vec.ind[3] + dd.temp # add 1 day in current stage vec.ind[4] <- vec.ind[4] + 1 vec.mat[i,] <- vec.ind } } if (vec.ind[1] != 0 && vec.ind[2] == 3) { # NOT overwintering adult (previttelogenic) current.gen <- vec.ind[1] if (vec.ind[3] > 68) { # add 68C to become fully reproductively matured # transfer to vittelogenic vec.ind <- c(current.gen, 4, 0, 0, 0) vec.mat[i,] <- vec.ind } else { # add to DD vec.ind[3] <- vec.ind[3] + dd.temp # add 1 day in current stage vec.ind[4] <- vec.ind[4] + 1 vec.mat[i,] <- vec.ind } } # event 2 oviposition -- where population dynamics comes from if (vec.ind[2] == 4 && vec.ind[1] == 0 && mean.temp > 10) { # vittelogenic stage, overwintering generation if (vec.ind[4] == 0) { # just turned in vittelogenic stage n.birth=round(runif(1, 2 + opt$min_clutch_size, 8 + opt$max_clutch_size)) } else { # daily probability of birth p.birth = opt$oviposition * 0.01 u1 <- runif(1) if (u1 < p.birth) { n.birth=round(runif(1, 2, 8)) } } # add to DD vec.ind[3] <- vec.ind[3] + dd.temp # add 1 day in current stage vec.ind[4] <- vec.ind[4] + 1 vec.mat[i,] <- vec.ind if (n.birth > 0) { # add new birth -- might be in different generations # generation + 1 new.gen <- vec.ind[1] + 1 # egg profile new.ind <- c(new.gen, 0, 0, 0, 0) new.vec <- rep(new.ind, n.birth) # update batch of egg profile new.vec <- t(matrix(new.vec, nrow=5)) # group with total eggs laid in that day birth.vec <- rbind(birth.vec, new.vec) } } # event 2 oviposition -- for gen 1. if (vec.ind[2] == 4 && vec.ind[1] == 1 && mean.temp > 12.5 && day < 222) { # vittelogenic stage, 1st generation if (vec.ind[4] == 0) { # just turned in vittelogenic stage n.birth=round(runif(1, 2 + opt$min_clutch_size, 8 + opt$max_clutch_size)) } else { # daily probability of birth p.birth = opt$oviposition * 0.01 u1 <- runif(1) if (u1 < p.birth) { n.birth = round(runif(1, 2, 8)) } } # add to DD vec.ind[3] <- vec.ind[3] + dd.temp # add 1 day in current stage vec.ind[4] <- vec.ind[4] + 1 vec.mat[i,] <- vec.ind if (n.birth > 0) { # add new birth -- might be in different generations # generation + 1 new.gen <- vec.ind[1] + 1 # egg profile new.ind <- c(new.gen, 0, 0, 0, 0) new.vec <- rep(new.ind, n.birth) # update batch of egg profile new.vec <- t(matrix(new.vec, nrow=5)) # group with total eggs laid in that day birth.vec <- rbind(birth.vec, new.vec) } } # event 3 development (with diapause determination) # event 3.1 egg development to young nymph (vec.ind[2]=0 -> egg) if (vec.ind[2] == 0) { # egg stage # add to DD vec.ind[3] <- vec.ind[3] + dd.temp if (vec.ind[3] >= (68 + opt$young_nymph_accum)) { # from egg to young nymph, DD requirement met current.gen <- vec.ind[1] # transfer to young nym stage vec.ind <- c(current.gen, 1, 0, 0, 0) } else { # add 1 day in current stage vec.ind[4] <- vec.ind[4] + 1 } vec.mat[i,] <- vec.ind } # event 3.2 young nymph to old nymph (vec.ind[2]=1 -> young nymph: determines diapause) if (vec.ind[2] == 1) { # young nymph stage # add to DD vec.ind[3] <- vec.ind[3] + dd.temp if (vec.ind[3] >= (250 + opt$old_nymph_accum)) { # from young to old nymph, DD requirement met current.gen <- vec.ind[1] # transfer to old nym stage vec.ind <- c(current.gen, 2, 0, 0, 0) if (photoperiod < opt$photoperiod && day > 180) { vec.ind[5] <- 1 } # prepare for diapausing } else { # add 1 day in current stage vec.ind[4] <- vec.ind[4] + 1 } vec.mat[i,] <- vec.ind } # event 3.3 old nymph to adult: previttelogenic or diapausing? if (vec.ind[2] == 2) { # old nymph stage # add to DD vec.ind[3] <- vec.ind[3] + dd.temp if (vec.ind[3] >= (200 + opt$adult_accum)) { # from old to adult, DD requirement met current.gen <- vec.ind[1] if (vec.ind[5] == 0) { # non-diapausing adult -- previttelogenic vec.ind <- c(current.gen, 3, 0, 0, 0) } else { # diapausing vec.ind <- c(current.gen, 5, 0, 0, 1) } } else { # add 1 day in current stage vec.ind[4] <- vec.ind[4] + 1 } vec.mat[i,] <- vec.ind } # event 4 growing of diapausing adult (unimportant, but still necessary)## if (vec.ind[2] == 5) { vec.ind[3] <- vec.ind[3] + dd.temp vec.ind[4] <- vec.ind[4] + 1 vec.mat[i,] <- vec.ind } } # else if it is still alive } # end of the individual bug loop # find how many died n.death <- length(death.vec) if (n.death > 0) { vec.mat <- vec.mat[-death.vec, ] } # remove record of dead # find how many new born n.newborn <- length(birth.vec[,1]) vec.mat <- rbind(vec.mat, birth.vec) # update population size for the next day n <- n - n.death + n.newborn # aggregate results by day tot.pop <- c(tot.pop, n) # egg s0 <- sum(vec.mat[,2] == 0) # young nymph s1 <- sum(vec.mat[,2] == 1) # old nymph s2 <- sum(vec.mat[,2] == 2) # previtellogenic s3 <- sum(vec.mat[,2] == 3) # vitellogenic s4 <- sum(vec.mat[,2] == 4) # diapausing s5 <- sum(vec.mat[,2] == 5) # overwintering adult gen0 <- sum(vec.mat[,1] == 0) # first generation gen1 <- sum(vec.mat[,1] == 1) # second generation gen2 <- sum(vec.mat[,1] == 2) # sum of all adults n.adult <- sum(vec.mat[,2] == 3) + sum(vec.mat[,2] == 4) + sum(vec.mat[,2] == 5) # gen.0 pop size gen0.pop[day] <- gen0 gen1.pop[day] <- gen1 gen2.pop[day] <- gen2 S0[day] <- s0 S1[day] <- s1 S2[day] <- s2 S3[day] <- s3 S4[day] <- s4 S5[day] <- s5 g0.adult[day] <- sum(vec.mat[,1] == 0) g1.adult[day] <- sum((vec.mat[,1] == 1 & vec.mat[,2] == 3) | (vec.mat[,1] == 1 & vec.mat[,2] == 4) | (vec.mat[,1] == 1 & vec.mat[,2] == 5)) g2.adult[day] <- sum((vec.mat[,1]== 2 & vec.mat[,2] == 3) | (vec.mat[,1] == 2 & vec.mat[,2] == 4) | (vec.mat[,1] == 2 & vec.mat[,2] == 5)) N.newborn[day] <- n.newborn N.death[day] <- n.death N.adult[day] <- n.adult #print(c(N.rep, day, n, n.adult)) } # end of 365 days dd.cum <- cumsum(dd.day) # collect all the outputs S0.rep[,N.rep] <- S0 S1.rep[,N.rep] <- S1 S2.rep[,N.rep] <- S2 S3.rep[,N.rep] <- S3 S4.rep[,N.rep] <- S4 S5.rep[,N.rep] <- S5 newborn.rep[,N.rep] <- N.newborn death.rep[,N.rep] <- N.death adult.rep[,N.rep] <- N.adult pop.rep[,N.rep] <- tot.pop g0.rep[,N.rep] <- gen0.pop g1.rep[,N.rep] <- gen1.pop g2.rep[,N.rep] <- gen2.pop g0a.rep[,N.rep] <- g0.adult g1a.rep[,N.rep] <- g1.adult g2a.rep[,N.rep] <- g2.adult } # save(dd.day, dd.cum, S0.rep, S1.rep, S2.rep, S3.rep, S4.rep, S5.rep, newborn.rep, death.rep, adult.rep, pop.rep, g0.rep, g1.rep, g2.rep, g0a.rep, g1a.rep, g2a.rep, file=opt$output) # maybe do not need to export this bit, but for now just leave it as-is # do we need to export this Rdat file? # Data analysis and visualization # default: plot 1 year of result # but can be expanded to accommodate multiple years n.yr <- 1 day.all <- c(1:365 * n.yr) # mean value for adults sa <- apply((S3.rep + S4.rep + S5.rep), 1, mean) # mean value for nymphs sn <- apply((S1.rep + S2.rep), 1,mean) # mean value for eggs se <- apply(S0.rep, 1, mean) # mean value for P g0 <- apply(g0.rep, 1, mean) # mean value for F1 g1 <- apply(g1.rep, 1, mean) # mean value for F2 g2 <- apply(g2.rep, 1, mean) # mean value for P adult g0a <- apply(g0a.rep, 1, mean) # mean value for F1 adult g1a <- apply(g1a.rep, 1, mean) # mean value for F2 adult g2a <- apply(g2a.rep, 1, mean) # SE for adults sa.se <- apply((S3.rep + S4.rep + S5.rep), 1, sd) / sqrt(opt$replications) # SE for nymphs sn.se <- apply((S1.rep + S2.rep) / sqrt(opt$replications), 1, sd) # SE for eggs se.se <- apply(S0.rep, 1, sd) / sqrt(opt$replications) # SE value for P g0.se <- apply(g0.rep, 1, sd) / sqrt(opt$replications) # SE for F1 g1.se <- apply(g1.rep, 1, sd) / sqrt(opt$replications) # SE for F2 g2.se <- apply(g2.rep, 1, sd) / sqrt(opt$replications) # SE for P adult g0a.se <- apply(g0a.rep, 1, sd) / sqrt(opt$replications) # SE for F1 adult g1a.se <- apply(g1a.rep, 1, sd) / sqrt(opt$replications) # SE for F2 adult g2a.se <- apply(g2a.rep, 1, sd) / sqrt(opt$replications) dev.new(width=20, height=20) # Start PDF device driver to save charts to output. pdf(file=opt$output, height=20, width=20, bg="white") par(mar = c(5, 6, 4, 4), mfrow=c(3, 1)) # Subfigure 2: population size by life stage plot(day.all, sa, main = "BSMB Total Population Size by Life Stage", type = "l", ylim = c(0, max(se + se.se, sn + sn.se, sa + sa.se)), axes = F, lwd = 2, xlab = "", ylab = "Number", cex = 2, cex.lab = 2, cex.axis = 2, cex.main = 2) # Young and old nymphs lines(day.all, sn, lwd = 2, lty = 1, col = 2) # Eggs lines(day.all, se, lwd = 2, lty = 1, col = 4) axis(1, at = c(1:12) * 30 - 15, cex.axis = 2, labels = c("Jan", "Feb", "Mar", "Apr", "May", "Jun", "Jul", "Aug", "Sep", "Oct", "Nov", "Dec")) axis(2, cex.axis = 2) leg.text <- c("Egg", "Nymph", "Adult") legend("topleft", leg.text, lty = c(1, 1, 1), col = c(4, 2, 1), cex = 2) if (opt$se_plot == 1) { # add SE lines to plot # SE for adults lines (day.all, sa + sa.se, lty = 2) lines (day.all, sa - sa.se, lty = 2) # SE for nymphs lines (day.all, sn + sn.se, col = 2, lty = 2) lines (day.all, sn - sn.se, col = 2, lty = 2) # SE for eggs lines (day.all, se + se.se, col = 4, lty = 2) lines (day.all, se - se.se, col = 4, lty = 2) } # Subfigure 3: population size by generation plot(day.all, g0, main = "BSMB Total Population Size by Generation", type = "l", ylim = c(0, max(g2)), axes = F, lwd = 2, xlab = "", ylab = "Number", cex = 2, cex.lab = 2, cex.axis = 2, cex.main = 2) lines(day.all, g1, lwd = 2, lty = 1, col = 2) lines(day.all, g2, lwd = 2, lty = 1, col = 4) axis(1, at = c(1:12) * 30 - 15, cex.axis = 2, labels = c("Jan", "Feb", "Mar", "Apr", "May", "Jun", "Jul", "Aug", "Sep", "Oct", "Nov", "Dec")) axis(2, cex.axis = 2) leg.text <- c("P", "F1", "F2") legend("topleft", leg.text, lty = c(1, 1, 1), col =c(1, 2, 4), cex = 2) if (opt$se_plot == 1) { # add SE lines to plot # SE for adults lines (day.all, g0 + g0.se, lty = 2) lines (day.all, g0 - g0.se, lty = 2) # SE for nymphs lines (day.all, g1 + g1.se, col = 2, lty = 2) lines (day.all, g1 - g1.se, col = 2, lty = 2) # SE for eggs lines (day.all, g2 + g2.se, col = 4, lty = 2) lines (day.all, g2 - g2.se, col = 4, lty = 2) } # Subfigure 4: adult population size by generation plot(day.all, g0a, ylim = c(0, max(g2a) + 100), main = "BSMB Adult Population Size by Generation", type = "l", axes = F, lwd = 2, xlab = "Year", ylab = "Number", cex = 2, cex.lab = 2, cex.axis = 2, cex.main = 2) lines(day.all, g1a, lwd = 2, lty = 1, col = 2) lines(day.all, g2a, lwd = 2, lty = 1, col = 4) axis(1, at = c(1:12) * 30 - 15, cex.axis = 2, labels = c("Jan", "Feb", "Mar", "Apr", "May", "Jun", "Jul", "Aug", "Sep", "Oct", "Nov", "Dec")) axis(2, cex.axis = 2) leg.text <- c("P", "F1", "F2") legend("topleft", leg.text, lty = c(1, 1, 1), col = c(1, 2, 4), cex = 2) if (opt$se_plot == 1) { # add SE lines to plot # SE for adults lines (day.all, g0a + g0a.se, lty = 2) lines (day.all, g0a - g0a.se, lty = 2) # SE for nymphs lines (day.all, g1a + g1a.se, col = 2, lty = 2) lines (day.all, g1a - g1a.se, col = 2, lty = 2) # SE for eggs lines (day.all, g2a + g2a.se, col = 4, lty = 2) lines (day.all, g2a - g2a.se, col = 4, lty = 2) } # Turn off device driver to flush output. dev.off()