pitcherplantApp/ui.R
In HarvardForest/ecoapps: EcoApps
################################################################################
################################################################################
#################### Pitcher Plant Simulation ##################################
####################### By: Nathan Justice #####################################
##################### Last edited: 31July2015 ##################################
################################################################################
################################################################################
##### Shiny user interface #####
### start: interface ###
shinyUI(fluidPage(
theme=shinytheme("flatly"),
titlePanel("EcoApps: Pitcher Plant Simulation"),
sidebarLayout(position="left",
### start: sidebar ###
sidebarPanel(
numericInput("days", label=h4("Number of Days:"), value=3),
numericInput("feedingTime", label=h4("Feeding Time (in minutes):"), value=720),
numericInput("foodWeight", label=h4("Food Weight:"), value=75),
numericInput("beta", label=h4("Beta Value:"), value=0.000045,step=0.000005),
numericInput("aMax", label=h4("Maximum Value of Augmentation:"), value=2),
numericInput("aMin", label=h4("Minimum Value of Augmentation:"), value=1),
numericInput("k", label=h4("k"), value=1),
numericInput("s", label=h4("s"), value=1),
numericInput("d", label=h4("d"), value=5),
numericInput("c", label=h4("c"), value=1)
), # sidebarPanel
### end: sidebar ###
### start: mainpanel ###
mainPanel(
tabsetPanel(
### start: simulation panel ###
tabPanel(title="Simulation",
fluidRow(
column(12,
plotOutput("mainPlot")
) # column
), # fluidRow
fluidRow(
column(12, align="left",
uiOutput("plotOptionsSlot")
) # column
), # fluidRow
fluidRow(
column(12, align="center",
tabsetPanel(id="tabset_analyses",
### start: quick analysis panel ###
tabPanel(title="Quick Analysis",
fluidRow(
column(4,
br(),
br(),
selectInput("quick_dataType", "Choose Data:",
choices=c(" ", "Oxygen", "Photosynthesis",
"Biological Oxygen Demand", "Nutrients",
"Augmentation Value", "Food Amount")
),
uiOutput("quick_decomposeOptionsSlot"),
uiOutput("quick_cpmType"),
uiOutput("quick_winsizeSlot"),
uiOutput("quick_runButtonSlot")
), # column
column(8,
br(),
h4(textOutput("quick_numBreakpoints")),
h4(textOutput("quick_locationText")),
h5(textOutput("quick_tpOutput")),
uiOutput("quick_breakpointsCheckboxSlot"),
uiOutput("quick_ewsRadioButtonSlot"),
uiOutput("quick_downloadTable"),
uiOutput("quick_ewsTableCheckboxSlot"),
dataTableOutput("quick_ewsTable"),
uiOutput("quick_decomposePlotSlot")
) # column
) # fluidRow
), # tabPanel - Quick Analysis
### end: quick analysis panel ###
### start: advanced analysis panel ###
tabPanel(title="Advanced Analysis",
fluidRow(
column(12, align="left",
br(),
helpText("Check that all input-boxes have valid values."),
br()
) # column
), # fluidRow
fluidRow(
column(4, align="left",
selectInput("dataType", "Choose Data:",
choices=c(" ", "Oxygen", "Photosynthesis",
"Biological Oxygen Demand", "Nutrients",
"Augmentation Value", "Food Amount")
),
uiOutput("decomposeOptionsSlot"),
uiOutput("runButtonSlot")
), # column
column(8, align="center",
h4(textOutput("numBreakpoints")),
h4(textOutput("locationText")),
h5(textOutput("tpOutput")),
uiOutput("breakpointsCheckboxSlot"),
uiOutput("ewsRadioButtonSlot"),
uiOutput("downloadEWStableSlot"),
uiOutput("ewsTableCheckboxSlot"),
uiOutput("decomposePlotSlot")
) # column
), # fluidRow
fluidRow(
column(12,
br(),
dataTableOutput("ewsTable")
) # column
), # fluidRow
fluidRow(
column(6, align="left",
h3("Tipping Point parameters"),
selectInput("cpmType", "Change point model type:",
choices=c("Gaussian sequence", "Exponential distribution")),
numericInput("startup", "The number of observations after which monitoring begins.
No breakpoints will be flagged during this period.
(the value should be at least 20):",
value=20),
helpText(a("Click here to view the R 'cpm' Package documentation.",
href="https://cran.r-project.org/web/packages/cpm/cpm.pdf",
target="_blank")
)
), # column
column(6, align="center",
h3("Early Warning Signals parameters"),
numericInput("winsize", "The size of the rolling window expressed as
percentage of the timeseries length (must be numeric between 0 and 100):",
value=50
),
numericInput("bandwidth",
"Bandwidth used for the Gaussian kernel when gaussian filtering s applied.
It is expressed as percentage of the timeseries length (must be numeric between 0 and 100):",
value=5
),
selectInput("detrending", "Detrended/filtered prior to analysis:",
choices=c("gaussian", "loess", "linear", "first-diff", "no")
),
numericInput("span",
"Parameter that controls the degree of smoothing (numeric between 0 and 100):",
value=25
),
numericInput("degree",
"The degree of polynomial to be used for when loess fitting is applied, normally 1 or 2:",
value=2
),
selectInput("logtransform",
"If TRUE data are logtransformed prior to analysis as log(X+1):",
choices=c(FALSE, TRUE)
),
selectInput("interpolate",
"If TRUE linear interpolation is applied to produce a timeseries of
equal length as the original. (FALSE assumes there are no gaps in the timeseries):",
choices=c(FALSE, TRUE)
),
helpText(a("Click here to view the R 'earlywarnings' Package documentation.",
href="http://cran.r-project.org/web/packages/earlywarnings/earlywarnings.pdf",
target="_blank")
),
helpText(a("Click here to visit the Early Warnings Signals Toolbox website.",
href="http://www.early-warning-signals.org/", target="_blank")
)
) # column
) # fluidRow
), # tabPanel- Advanced Analysis
### end: advanced analysis panel ###
### start: customize graph panel ###
tabPanel(title="Customize Graph",
br(),
br(),
textInput("yaxis", "y-axis", value="Value"),
textInput("xaxis", "x-axis", value="Time")
) # tabPanel - Customize graph
### end: customize graph panel ###
) # tabsetPanel
) # column
) # fluidRow
), # tabPanel - Graph
### end: simulation panel ###
### start: data table panel ###
tabPanel(title="Data Table",
fluidRow(
br(),
h2("Data Table for Model Simulation:"),
br(),
downloadButton('downloadMainTable', 'Download Table'),
br(),
br(),
dataTableOutput("mainTable")
) # fluidRow
), # tabPanel - Data Table
### end: data table panel ###
### start: model panel ###
tabPanel(title="Model",
h3("R code:"),
pre(code(p(
"
## Functions ##
# transform the values of x so that the range of x is equal to the range of y
rescale <- function(x,y){
x.range <- range(x)
y.range <- range(y)
x <- ((x - x.range[1])* (diff(y.range))) / diff(x.range) + y.range[1]
if (any(range(x) != range(y))){
warning('Ranges do not match.')
}else{
return(x)
}
}
# 6:00 sunrise = 360
# 12:00 noon = 720
# 18:00 sunset = 1080
PAR <- function(days=3,start=0,amp=100){
amp * sin(2 * pi * rep((1:1440 + 1080 + start),days) * (1/1440))
}
photo <- function(days=3,Amax=4,Aqe=0.3,LCP=0,start=0,amp=50){
out <- Amax * (1 - exp(-Aqe * (PAR(days,start,amp) - LCP)))
out[out < LCP] <- 0
return(out)
}
pitcherPlantSim <- function(days=3, feedingTime=720, foodWeight=5, beta=0.001, k=1, Bscaler=10,
aMax=10, aMin=1, s=10, d=1, c=100) {
minute <- vector(mode='numeric') # t/time variable
x <- vector(mode='numeric') # amount of o2
a <- vector(mode='numeric') # augmentation function
P <- vector(mode='numeric') # photosynthesis
B <- vector(mode='numeric'') # biological o2 demand
n <- vector(mode='numeric') # amount of nutrients
w <- vector(mode='numeric') # amount of food
if (length(foodWeight) < days){
foodWeight <- rep(foodWeight,days)[1:days]
}
## Initialization ##
# simulate photosynthesis as fixed values
P <- photo(days)
# initial nutrient value
n <- 0
# initial augmentation value
a <- ((aMax-aMin)/(1+exp((-s*n)-d)))+aMin
# initial biological o2 demand
B <- 0/(k+0)
# o2 at minute=0, P=0 b/c unable to index at minute=0
x <- (a*0)-B
# simulate until food is first added
# loop runs until feedingTime-2 b/c food is added AT the minute
for(i in 1:(feedingTime-2)){
# augmentation function - default value
a <- c(a, ((aMax-aMin)/(1+exp((-s*n[i])-d)))+aMin)
# biological oxygen demand - default value (no food = no microbes)
B <- c(B, 0/(k+0))
# calculate o2 amount - product of photosynthesis alone (no food)
x <- c(x, (a[i]*P[i])-B[i])
# amount of food - no food
w <- c(w, 0)
# amount of nutrients - no nutrients
n <- c(n, 0)
# adjust minute
minute <- c(minute, i)
}
# adjust minute
minute <- c(minute, length(minute)+1)
# adjust amount of food
w <- c(w, w[length(w)])
for(z in 1:days){
# add food
w <- c(w, w[length(w)]+foodWeight[z])
# run simulation for a full day
for(j in 1:1440){
# adjust minute
minute <- c(minute, length(minute)+1)
# adjust biological o2 demand
B <- c(B, (w[length(minute)]/(k+w[length(minute)]))*Bscaler)
# adjust amount of nutrients
n <- c(n, (w[length(minute)]*x[length(minute)-1])/c)
# adjust augmentation value
a <- c(a, ((aMax-aMin)/(1+exp((-s*n[length(minute)])-d)))+aMin)
# adjust o2 amount
tempO2 <- (a[length(minute)]*P[length(minute)])-B[length(minute)]
if(is.na(tempO2) == FALSE && tempO2 > 0){
x <- c(x, tempO2)
}
else{
x <- c(x, 0)
}
if(j < 1440){
## adjust amount of food
w <- c(w, w[length(w)]*exp(-beta*(1)))
}
}
}
# trim objects to appropriate time
# omitted values aren't relevant
minute <- minute[1:length(P)]
B <- B[1:length(P)]
n <- n[1:length(P)]
a <- a[1:length(P)]
x <- x[1:length(P)]
w <- w[1:length(P)]
data <- data.frame(minute, x, P[1:length(x)], B, n, a, w)
colnames(data) <- c('Minute', 'Oxygen', 'Photosynthesis',
'Biological Oxygen Demand', 'Nutrients',
'Augmentation Value', 'Food Amount')
return(data)
}")))
), # tabPanel - Model
### end: model panel ###
### start: R code panel ###
tabPanel(title="R Code",
h3("Read-only"),
aceEditor("ace", value=" "),
fluidRow(
column(12, align="center",
downloadButton("aceDownloadButton", "Download Script")
)
),
textOutput("Temp")
), # tabPanel - R
### end: R code panel ###
### start references panel ###
tabPanel(title="References",
br(),
h3("R:"),
p("R Core Team (2015). R: A language and environment for statistical computing.
Foundation for Statistical Computing, Vienna, Austria.
URL http://www.R-project.org/."),
h3("'shiny' Package:"),
p("Winston Chang, Joe Cheng, JJ Allaire, Yihui Xie and Jonathan McPherson (2015).
shiny: Web Application Framework for R. R package version 0.12.0.
http://CRAN.R-project.org/package=shiny"),
h3("'shinyapps' Package:"),
p("JJ Allaire (2013). shinyapps: Interface to ShinyApps. R package version 0.3.64."),
h3("'shinythemes' Package:"),
p("Winston Chang (2015). shinythemes: Themes for Shiny. R package version 1.0.1.
http://CRAN.R-project.org/package=shinythemes"),
h3("'shinyAce' Package:"),
p("Trestle Technology and LLC. (2013). shinyAce: Ace editor bindings for Shiny. R package version 0.1.0.
http://CRAN.R-project.org/package=shinyAce"),
h3("'cpm' Package:"),
p(" Gordon J. Ross (2015). Parametric and Nonparametric Sequential Change Detection in R: The cpm Package.
Journal of Statistical Software."),
h3("'earlywarnings' Package:"),
p("Vasilis Dakos et al. Methods for detecting early warnings of critical transitions
in time series illustrated using simulated ecological dataPLoS One 7(7):e41010, 2012. See
http://www.plosone.org/article/info%3Adoi%2F10.1371%2Fjournal.pone.0041010"),
h3("'plotrix' Package:"),
p("Lemon, J. (2006) Plotrix: a package in the red light district of R. R-News, 6(4): 8-12."),
h3("'moments' Package:"),
p("Lukasz Komsta and Frederick Novomestky (2015). moments: Moments, cumulants, skewness, kurtosis and related tests.
R package version 0.14. http://CRAN.R-project.org/package=moments")
) # tabPanel
### end: references panel ###
) # tabsetPanel
) # mainPanel
### end: mainpanel
) # sidebarLayout
)) # end UI
### end: interface ###
HarvardForest/ecoapps documentation built on May 6, 2019, 10:55 p.m.
R Package Documentation
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Note that we can't provide technical support on individual packages. You should contact the package authors for that.
################################################################################
################################################################################
#################### Pitcher Plant Simulation ##################################
####################### By: Nathan Justice #####################################
##################### Last edited: 31July2015 ##################################
################################################################################
################################################################################
##### Shiny user interface #####
### start: interface ###
shinyUI(fluidPage(
theme=shinytheme("flatly"),
titlePanel("EcoApps: Pitcher Plant Simulation"),
sidebarLayout(position="left",
### start: sidebar ###
sidebarPanel(
numericInput("days", label=h4("Number of Days:"), value=3),
numericInput("feedingTime", label=h4("Feeding Time (in minutes):"), value=720),
numericInput("foodWeight", label=h4("Food Weight:"), value=75),
numericInput("beta", label=h4("Beta Value:"), value=0.000045,step=0.000005),
numericInput("aMax", label=h4("Maximum Value of Augmentation:"), value=2),
numericInput("aMin", label=h4("Minimum Value of Augmentation:"), value=1),
numericInput("k", label=h4("k"), value=1),
numericInput("s", label=h4("s"), value=1),
numericInput("d", label=h4("d"), value=5),
numericInput("c", label=h4("c"), value=1)
), # sidebarPanel
### end: sidebar ###
### start: mainpanel ###
mainPanel(
tabsetPanel(
### start: simulation panel ###
tabPanel(title="Simulation",
fluidRow(
column(12,
plotOutput("mainPlot")
) # column
), # fluidRow
fluidRow(
column(12, align="left",
uiOutput("plotOptionsSlot")
) # column
), # fluidRow
fluidRow(
column(12, align="center",
tabsetPanel(id="tabset_analyses",
### start: quick analysis panel ###
tabPanel(title="Quick Analysis",
fluidRow(
column(4,
br(),
br(),
selectInput("quick_dataType", "Choose Data:",
choices=c(" ", "Oxygen", "Photosynthesis",
"Biological Oxygen Demand", "Nutrients",
"Augmentation Value", "Food Amount")
),
uiOutput("quick_decomposeOptionsSlot"),
uiOutput("quick_cpmType"),
uiOutput("quick_winsizeSlot"),
uiOutput("quick_runButtonSlot")
), # column
column(8,
br(),
h4(textOutput("quick_numBreakpoints")),
h4(textOutput("quick_locationText")),
h5(textOutput("quick_tpOutput")),
uiOutput("quick_breakpointsCheckboxSlot"),
uiOutput("quick_ewsRadioButtonSlot"),
uiOutput("quick_downloadTable"),
uiOutput("quick_ewsTableCheckboxSlot"),
dataTableOutput("quick_ewsTable"),
uiOutput("quick_decomposePlotSlot")
) # column
) # fluidRow
), # tabPanel - Quick Analysis
### end: quick analysis panel ###
### start: advanced analysis panel ###
tabPanel(title="Advanced Analysis",
fluidRow(
column(12, align="left",
br(),
helpText("Check that all input-boxes have valid values."),
br()
) # column
), # fluidRow
fluidRow(
column(4, align="left",
selectInput("dataType", "Choose Data:",
choices=c(" ", "Oxygen", "Photosynthesis",
"Biological Oxygen Demand", "Nutrients",
"Augmentation Value", "Food Amount")
),
uiOutput("decomposeOptionsSlot"),
uiOutput("runButtonSlot")
), # column
column(8, align="center",
h4(textOutput("numBreakpoints")),
h4(textOutput("locationText")),
h5(textOutput("tpOutput")),
uiOutput("breakpointsCheckboxSlot"),
uiOutput("ewsRadioButtonSlot"),
uiOutput("downloadEWStableSlot"),
uiOutput("ewsTableCheckboxSlot"),
uiOutput("decomposePlotSlot")
) # column
), # fluidRow
fluidRow(
column(12,
br(),
dataTableOutput("ewsTable")
) # column
), # fluidRow
fluidRow(
column(6, align="left",
h3("Tipping Point parameters"),
selectInput("cpmType", "Change point model type:",
choices=c("Gaussian sequence", "Exponential distribution")),
numericInput("startup", "The number of observations after which monitoring begins.
No breakpoints will be flagged during this period.
(the value should be at least 20):",
value=20),
helpText(a("Click here to view the R 'cpm' Package documentation.",
href="https://cran.r-project.org/web/packages/cpm/cpm.pdf",
target="_blank")
)
), # column
column(6, align="center",
h3("Early Warning Signals parameters"),
numericInput("winsize", "The size of the rolling window expressed as
percentage of the timeseries length (must be numeric between 0 and 100):",
value=50
),
numericInput("bandwidth",
"Bandwidth used for the Gaussian kernel when gaussian filtering s applied.
It is expressed as percentage of the timeseries length (must be numeric between 0 and 100):",
value=5
),
selectInput("detrending", "Detrended/filtered prior to analysis:",
choices=c("gaussian", "loess", "linear", "first-diff", "no")
),
numericInput("span",
"Parameter that controls the degree of smoothing (numeric between 0 and 100):",
value=25
),
numericInput("degree",
"The degree of polynomial to be used for when loess fitting is applied, normally 1 or 2:",
value=2
),
selectInput("logtransform",
"If TRUE data are logtransformed prior to analysis as log(X+1):",
choices=c(FALSE, TRUE)
),
selectInput("interpolate",
"If TRUE linear interpolation is applied to produce a timeseries of
equal length as the original. (FALSE assumes there are no gaps in the timeseries):",
choices=c(FALSE, TRUE)
),
helpText(a("Click here to view the R 'earlywarnings' Package documentation.",
href="http://cran.r-project.org/web/packages/earlywarnings/earlywarnings.pdf",
target="_blank")
),
helpText(a("Click here to visit the Early Warnings Signals Toolbox website.",
href="http://www.early-warning-signals.org/", target="_blank")
)
) # column
) # fluidRow
), # tabPanel- Advanced Analysis
### end: advanced analysis panel ###
### start: customize graph panel ###
tabPanel(title="Customize Graph",
br(),
br(),
textInput("yaxis", "y-axis", value="Value"),
textInput("xaxis", "x-axis", value="Time")
) # tabPanel - Customize graph
### end: customize graph panel ###
) # tabsetPanel
) # column
) # fluidRow
), # tabPanel - Graph
### end: simulation panel ###
### start: data table panel ###
tabPanel(title="Data Table",
fluidRow(
br(),
h2("Data Table for Model Simulation:"),
br(),
downloadButton('downloadMainTable', 'Download Table'),
br(),
br(),
dataTableOutput("mainTable")
) # fluidRow
), # tabPanel - Data Table
### end: data table panel ###
### start: model panel ###
tabPanel(title="Model",
h3("R code:"),
pre(code(p(
"
## Functions ##
# transform the values of x so that the range of x is equal to the range of y
rescale <- function(x,y){
x.range <- range(x)
y.range <- range(y)
x <- ((x - x.range[1])* (diff(y.range))) / diff(x.range) + y.range[1]
if (any(range(x) != range(y))){
warning('Ranges do not match.')
}else{
return(x)
}
}
# 6:00 sunrise = 360
# 12:00 noon = 720
# 18:00 sunset = 1080
PAR <- function(days=3,start=0,amp=100){
amp * sin(2 * pi * rep((1:1440 + 1080 + start),days) * (1/1440))
}
photo <- function(days=3,Amax=4,Aqe=0.3,LCP=0,start=0,amp=50){
out <- Amax * (1 - exp(-Aqe * (PAR(days,start,amp) - LCP)))
out[out < LCP] <- 0
return(out)
}
pitcherPlantSim <- function(days=3, feedingTime=720, foodWeight=5, beta=0.001, k=1, Bscaler=10,
aMax=10, aMin=1, s=10, d=1, c=100) {
minute <- vector(mode='numeric') # t/time variable
x <- vector(mode='numeric') # amount of o2
a <- vector(mode='numeric') # augmentation function
P <- vector(mode='numeric') # photosynthesis
B <- vector(mode='numeric'') # biological o2 demand
n <- vector(mode='numeric') # amount of nutrients
w <- vector(mode='numeric') # amount of food
if (length(foodWeight) < days){
foodWeight <- rep(foodWeight,days)[1:days]
}
## Initialization ##
# simulate photosynthesis as fixed values
P <- photo(days)
# initial nutrient value
n <- 0
# initial augmentation value
a <- ((aMax-aMin)/(1+exp((-s*n)-d)))+aMin
# initial biological o2 demand
B <- 0/(k+0)
# o2 at minute=0, P=0 b/c unable to index at minute=0
x <- (a*0)-B
# simulate until food is first added
# loop runs until feedingTime-2 b/c food is added AT the minute
for(i in 1:(feedingTime-2)){
# augmentation function - default value
a <- c(a, ((aMax-aMin)/(1+exp((-s*n[i])-d)))+aMin)
# biological oxygen demand - default value (no food = no microbes)
B <- c(B, 0/(k+0))
# calculate o2 amount - product of photosynthesis alone (no food)
x <- c(x, (a[i]*P[i])-B[i])
# amount of food - no food
w <- c(w, 0)
# amount of nutrients - no nutrients
n <- c(n, 0)
# adjust minute
minute <- c(minute, i)
}
# adjust minute
minute <- c(minute, length(minute)+1)
# adjust amount of food
w <- c(w, w[length(w)])
for(z in 1:days){
# add food
w <- c(w, w[length(w)]+foodWeight[z])
# run simulation for a full day
for(j in 1:1440){
# adjust minute
minute <- c(minute, length(minute)+1)
# adjust biological o2 demand
B <- c(B, (w[length(minute)]/(k+w[length(minute)]))*Bscaler)
# adjust amount of nutrients
n <- c(n, (w[length(minute)]*x[length(minute)-1])/c)
# adjust augmentation value
a <- c(a, ((aMax-aMin)/(1+exp((-s*n[length(minute)])-d)))+aMin)
# adjust o2 amount
tempO2 <- (a[length(minute)]*P[length(minute)])-B[length(minute)]
if(is.na(tempO2) == FALSE && tempO2 > 0){
x <- c(x, tempO2)
}
else{
x <- c(x, 0)
}
if(j < 1440){
## adjust amount of food
w <- c(w, w[length(w)]*exp(-beta*(1)))
}
}
}
# trim objects to appropriate time
# omitted values aren't relevant
minute <- minute[1:length(P)]
B <- B[1:length(P)]
n <- n[1:length(P)]
a <- a[1:length(P)]
x <- x[1:length(P)]
w <- w[1:length(P)]
data <- data.frame(minute, x, P[1:length(x)], B, n, a, w)
colnames(data) <- c('Minute', 'Oxygen', 'Photosynthesis',
'Biological Oxygen Demand', 'Nutrients',
'Augmentation Value', 'Food Amount')
return(data)
}")))
), # tabPanel - Model
### end: model panel ###
### start: R code panel ###
tabPanel(title="R Code",
h3("Read-only"),
aceEditor("ace", value=" "),
fluidRow(
column(12, align="center",
downloadButton("aceDownloadButton", "Download Script")
)
),
textOutput("Temp")
), # tabPanel - R
### end: R code panel ###
### start references panel ###
tabPanel(title="References",
br(),
h3("R:"),
p("R Core Team (2015). R: A language and environment for statistical computing.
Foundation for Statistical Computing, Vienna, Austria.
URL http://www.R-project.org/."),
h3("'shiny' Package:"),
p("Winston Chang, Joe Cheng, JJ Allaire, Yihui Xie and Jonathan McPherson (2015).
shiny: Web Application Framework for R. R package version 0.12.0.
http://CRAN.R-project.org/package=shiny"),
h3("'shinyapps' Package:"),
p("JJ Allaire (2013). shinyapps: Interface to ShinyApps. R package version 0.3.64."),
h3("'shinythemes' Package:"),
p("Winston Chang (2015). shinythemes: Themes for Shiny. R package version 1.0.1.
http://CRAN.R-project.org/package=shinythemes"),
h3("'shinyAce' Package:"),
p("Trestle Technology and LLC. (2013). shinyAce: Ace editor bindings for Shiny. R package version 0.1.0.
http://CRAN.R-project.org/package=shinyAce"),
h3("'cpm' Package:"),
p(" Gordon J. Ross (2015). Parametric and Nonparametric Sequential Change Detection in R: The cpm Package.
Journal of Statistical Software."),
h3("'earlywarnings' Package:"),
p("Vasilis Dakos et al. Methods for detecting early warnings of critical transitions
in time series illustrated using simulated ecological dataPLoS One 7(7):e41010, 2012. See
http://www.plosone.org/article/info%3Adoi%2F10.1371%2Fjournal.pone.0041010"),
h3("'plotrix' Package:"),
p("Lemon, J. (2006) Plotrix: a package in the red light district of R. R-News, 6(4): 8-12."),
h3("'moments' Package:"),
p("Lukasz Komsta and Frederick Novomestky (2015). moments: Moments, cumulants, skewness, kurtosis and related tests.
R package version 0.14. http://CRAN.R-project.org/package=moments")
) # tabPanel
### end: references panel ###
) # tabsetPanel
) # mainPanel
### end: mainpanel
) # sidebarLayout
)) # end UI
### end: interface ###
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