Filling parts of a contour plot in R












1














I have made a contour plot in R with the following code:



library(mvtnorm)
# Define the parameters for the multivariate normal distribution
mu = c(0,0)
sigma = matrix(c(1,0.2,0.2,3),nrow = 2)

# Make a grid in the x-y plane centered in mu, +/- 3 standard deviations
xygrid = expand.grid(x = seq(from = mu[1]-3*sigma[1,1], to = mu[1]+3*sigma[1,1], length.out = 100),
y = seq(from = mu[2]-3*sigma[2,2], to = mu[2]+3*sigma[2,2], length.out = 100))

# Use the mvtnorm library to calculate the multivariate normal density for each point in the grid
distribution = as.matrix(dmvnorm(x = xygrid, mean = mu, sigma = sigma))

# Plot contours
df = as.data.frame(cbind(xygrid, distribution))
myPlot = ggplot() + geom_contour(data = df,geom="polygon",aes( x = x, y = y, z = distribution))
myPlot


This is what the contour plots look like.



I want to illustrate cumulative probability by shading/colouring certain parts of the plot, for instance everything in the region {x<0, y<0} (or any other self defined region).



Here is a free hand drawing of what I seek to achieve.



Is there any way of achieving this in R with ggplot?










share|improve this question
























  • There are similiar questions. Maybe they will help you: similar question 1 and similar question 2
    – luke
    Nov 20 at 11:19


















1














I have made a contour plot in R with the following code:



library(mvtnorm)
# Define the parameters for the multivariate normal distribution
mu = c(0,0)
sigma = matrix(c(1,0.2,0.2,3),nrow = 2)

# Make a grid in the x-y plane centered in mu, +/- 3 standard deviations
xygrid = expand.grid(x = seq(from = mu[1]-3*sigma[1,1], to = mu[1]+3*sigma[1,1], length.out = 100),
y = seq(from = mu[2]-3*sigma[2,2], to = mu[2]+3*sigma[2,2], length.out = 100))

# Use the mvtnorm library to calculate the multivariate normal density for each point in the grid
distribution = as.matrix(dmvnorm(x = xygrid, mean = mu, sigma = sigma))

# Plot contours
df = as.data.frame(cbind(xygrid, distribution))
myPlot = ggplot() + geom_contour(data = df,geom="polygon",aes( x = x, y = y, z = distribution))
myPlot


This is what the contour plots look like.



I want to illustrate cumulative probability by shading/colouring certain parts of the plot, for instance everything in the region {x<0, y<0} (or any other self defined region).



Here is a free hand drawing of what I seek to achieve.



Is there any way of achieving this in R with ggplot?










share|improve this question
























  • There are similiar questions. Maybe they will help you: similar question 1 and similar question 2
    – luke
    Nov 20 at 11:19
















1












1








1







I have made a contour plot in R with the following code:



library(mvtnorm)
# Define the parameters for the multivariate normal distribution
mu = c(0,0)
sigma = matrix(c(1,0.2,0.2,3),nrow = 2)

# Make a grid in the x-y plane centered in mu, +/- 3 standard deviations
xygrid = expand.grid(x = seq(from = mu[1]-3*sigma[1,1], to = mu[1]+3*sigma[1,1], length.out = 100),
y = seq(from = mu[2]-3*sigma[2,2], to = mu[2]+3*sigma[2,2], length.out = 100))

# Use the mvtnorm library to calculate the multivariate normal density for each point in the grid
distribution = as.matrix(dmvnorm(x = xygrid, mean = mu, sigma = sigma))

# Plot contours
df = as.data.frame(cbind(xygrid, distribution))
myPlot = ggplot() + geom_contour(data = df,geom="polygon",aes( x = x, y = y, z = distribution))
myPlot


This is what the contour plots look like.



I want to illustrate cumulative probability by shading/colouring certain parts of the plot, for instance everything in the region {x<0, y<0} (or any other self defined region).



Here is a free hand drawing of what I seek to achieve.



Is there any way of achieving this in R with ggplot?










share|improve this question















I have made a contour plot in R with the following code:



library(mvtnorm)
# Define the parameters for the multivariate normal distribution
mu = c(0,0)
sigma = matrix(c(1,0.2,0.2,3),nrow = 2)

# Make a grid in the x-y plane centered in mu, +/- 3 standard deviations
xygrid = expand.grid(x = seq(from = mu[1]-3*sigma[1,1], to = mu[1]+3*sigma[1,1], length.out = 100),
y = seq(from = mu[2]-3*sigma[2,2], to = mu[2]+3*sigma[2,2], length.out = 100))

# Use the mvtnorm library to calculate the multivariate normal density for each point in the grid
distribution = as.matrix(dmvnorm(x = xygrid, mean = mu, sigma = sigma))

# Plot contours
df = as.data.frame(cbind(xygrid, distribution))
myPlot = ggplot() + geom_contour(data = df,geom="polygon",aes( x = x, y = y, z = distribution))
myPlot


This is what the contour plots look like.



I want to illustrate cumulative probability by shading/colouring certain parts of the plot, for instance everything in the region {x<0, y<0} (or any other self defined region).



Here is a free hand drawing of what I seek to achieve.



Is there any way of achieving this in R with ggplot?







r ggplot2






share|improve this question















share|improve this question













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edited Nov 20 at 11:04









hrbrmstr

60k685146




60k685146










asked Nov 20 at 10:59









andypatrol

61




61












  • There are similiar questions. Maybe they will help you: similar question 1 and similar question 2
    – luke
    Nov 20 at 11:19




















  • There are similiar questions. Maybe they will help you: similar question 1 and similar question 2
    – luke
    Nov 20 at 11:19


















There are similiar questions. Maybe they will help you: similar question 1 and similar question 2
– luke
Nov 20 at 11:19






There are similiar questions. Maybe they will help you: similar question 1 and similar question 2
– luke
Nov 20 at 11:19














1 Answer
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So you are able to get the coordinates used to draw the circles in the plot using ggplot_build. Subsequently you could try to use these coordinates in combination with geom_polygon to shade a particular region. My best try:



library(dplyr)

data <- ggplot_build(myPlot)$data[[1]]

xCoor <- 0
yCoor <- 0

df <- data %>% filter(group == '-1-001', x <= xCoor, y <= yCoor) %>% select(x,y)

# Insert the [0,0] coordinate in the right place
index <- which.max(abs(diff(rank(df$y))))
df <- rbind( df[1:index,], data.frame(x=xCoor, y=yCoor), df[(index+1):nrow(df),] )

myPlot + geom_polygon(data = df, aes(x=x, y=y), fill = 'red', alpha = 0.5)


Resulting plot



As you can see it's not perfect because the [x,0] and [0,y] coordinates are not included in the data, but it's a start.






share|improve this answer





















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    So you are able to get the coordinates used to draw the circles in the plot using ggplot_build. Subsequently you could try to use these coordinates in combination with geom_polygon to shade a particular region. My best try:



    library(dplyr)

    data <- ggplot_build(myPlot)$data[[1]]

    xCoor <- 0
    yCoor <- 0

    df <- data %>% filter(group == '-1-001', x <= xCoor, y <= yCoor) %>% select(x,y)

    # Insert the [0,0] coordinate in the right place
    index <- which.max(abs(diff(rank(df$y))))
    df <- rbind( df[1:index,], data.frame(x=xCoor, y=yCoor), df[(index+1):nrow(df),] )

    myPlot + geom_polygon(data = df, aes(x=x, y=y), fill = 'red', alpha = 0.5)


    Resulting plot



    As you can see it's not perfect because the [x,0] and [0,y] coordinates are not included in the data, but it's a start.






    share|improve this answer


























      0














      So you are able to get the coordinates used to draw the circles in the plot using ggplot_build. Subsequently you could try to use these coordinates in combination with geom_polygon to shade a particular region. My best try:



      library(dplyr)

      data <- ggplot_build(myPlot)$data[[1]]

      xCoor <- 0
      yCoor <- 0

      df <- data %>% filter(group == '-1-001', x <= xCoor, y <= yCoor) %>% select(x,y)

      # Insert the [0,0] coordinate in the right place
      index <- which.max(abs(diff(rank(df$y))))
      df <- rbind( df[1:index,], data.frame(x=xCoor, y=yCoor), df[(index+1):nrow(df),] )

      myPlot + geom_polygon(data = df, aes(x=x, y=y), fill = 'red', alpha = 0.5)


      Resulting plot



      As you can see it's not perfect because the [x,0] and [0,y] coordinates are not included in the data, but it's a start.






      share|improve this answer
























        0












        0








        0






        So you are able to get the coordinates used to draw the circles in the plot using ggplot_build. Subsequently you could try to use these coordinates in combination with geom_polygon to shade a particular region. My best try:



        library(dplyr)

        data <- ggplot_build(myPlot)$data[[1]]

        xCoor <- 0
        yCoor <- 0

        df <- data %>% filter(group == '-1-001', x <= xCoor, y <= yCoor) %>% select(x,y)

        # Insert the [0,0] coordinate in the right place
        index <- which.max(abs(diff(rank(df$y))))
        df <- rbind( df[1:index,], data.frame(x=xCoor, y=yCoor), df[(index+1):nrow(df),] )

        myPlot + geom_polygon(data = df, aes(x=x, y=y), fill = 'red', alpha = 0.5)


        Resulting plot



        As you can see it's not perfect because the [x,0] and [0,y] coordinates are not included in the data, but it's a start.






        share|improve this answer












        So you are able to get the coordinates used to draw the circles in the plot using ggplot_build. Subsequently you could try to use these coordinates in combination with geom_polygon to shade a particular region. My best try:



        library(dplyr)

        data <- ggplot_build(myPlot)$data[[1]]

        xCoor <- 0
        yCoor <- 0

        df <- data %>% filter(group == '-1-001', x <= xCoor, y <= yCoor) %>% select(x,y)

        # Insert the [0,0] coordinate in the right place
        index <- which.max(abs(diff(rank(df$y))))
        df <- rbind( df[1:index,], data.frame(x=xCoor, y=yCoor), df[(index+1):nrow(df),] )

        myPlot + geom_polygon(data = df, aes(x=x, y=y), fill = 'red', alpha = 0.5)


        Resulting plot



        As you can see it's not perfect because the [x,0] and [0,y] coordinates are not included in the data, but it's a start.







        share|improve this answer












        share|improve this answer



        share|improve this answer










        answered Nov 20 at 12:44









        Ravi

        363




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