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Plot points with top and bottom 5%  mean kriging variance (use different point shapes for top and bottom points).

Question

Plot points with top and bottom 5%  mean kriging variance (use different point shapes for top and bottom points).

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Solution

To plot points with top and bottom 5% mean kriging variance, you can follow these steps:

  1. First, you need to calculate the kriging variance for each point. This can be done using a geostatistical software or programming language like R or Python.

  2. Once you have the kriging variance for each point, sort the points based on their kriging variance.

  3. Identify the top 5% and bottom 5% of points. This can be done by calculating the 95th and 5th percentile of the sorted kriging variances.

  4. Now, you can plot the points. Use one shape (for example, a circle) for the top 5% of points and another shape (for example, a square) for the bottom 5% of points.

  5. To do this in R, you can use the ggplot2 package. Here is a basic example:

# Assuming df is your data frame and it has columns 'longitude', 'latitude', and 'kriging_variance'
library(ggplot2)

# Calculate percentiles
top_5_percentile <- quantile(df$kriging_variance, 0.95)
bottom_5_percentile <- quantile(df$kriging_variance, 0.05)

# Create a new column in df that specifies whether each point is in the top 5%, bottom 5%, or neither
df$point_type <- with(df, ifelse(kriging_variance >= top_5_percentile, 'top 5%', 
                                 ifelse(kriging_variance <= bottom_5_percentile, 'bottom 5%', 'other')))

# Plot
ggplot(df, aes(x = longitude, y = latitude, shape = point_type)) +
  geom_point() +
  scale_shape_manual(values = c(16, 17, 15))  # Change these values to change point shapes

This will create a scatter plot with different shapes for the top 5%, bottom 5%, and other points.

This problem has been solved

Similar Questions

k. Which data point has the second maximal mean kriging variance?(0.5 mark)

a. Produce a sample variogram on the interval [0,1] using 20 bins.(0.5 mark)b. Fit the spherical variogram to the sample variogram by using ordinary least squares. Use the initial values (1, 0.5) and nugget = 0.5.(0.5 mark)c.   Consider the location (1, 0.5). Plot locations of the data in black and this location in red in the same image.(0.5 mark)d. Use the kriging method to compute the predicted value and the variance at the point (1, 0.5). Round the answers with 4 decimal places. (0.5 mark)e. Perform a prediction(kriging) on a grid covering the area [0,2]x[0,2].  Plot the result.(0.5 mark)f. Explain the obtained plot.(1 mark)g. To prepare your data for cross-validation, use the R commands> a <- as.data.frame(s256i$data)> s <- SpatialPointsDataFrame(s256i$coords, a, proj4string=CRS(projargs=as.character(NA)), match.ID=TRUE)> v.fit <- as.vgm.variomodel(ols.n)where ols.n is the variogram fitted by the ordinary least squares method.Cross-validate your model by using leave-one-out cross-validation and a bubble plot of the result.(0.5 mark)h. Explain the obtained plot.(1 mark)i. Cross-validate your model by using 10-fold  cross-validation and a bubble plot of the result. Explain the obtained plot. and differences with leave-one-out cross-validation from f and g.(1 mark)j. Optimize the monitoring network using the criterion of minimum mean kriging variances.  Which data point has the maximum mean kriging variance?(0.5 mark)

j. Optimize the monitoring network using the criterion of minimum mean kriging variances.  Which data point has the maximum mean kriging variance?(0.5 mark)

e. Perform a prediction(kriging) on a grid covering the area [0,2]x[0,2].  Plot the result.(0.5 mark)f. Explain the obtained plot.

e. Perform a prediction(kriging) on a grid covering the area [0,2]x[0,2].  Plot the result.(0.5 mark)f. Explain the obtained plot.(1 mark)

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