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USER MANUAL - Fabio Veronesi
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1. Universal cart O Variogram Regression Random Kriging Forest oop Figure 1 starting window of IntR Here the user can select intuitively the algorithm he needs to use IntR Interactive GUI for R Fabio Veronesi Variogram amp Anisotropy In IntR there are two modules that are used for performing some preliminary studies upon the study area These two modules are Variogram Plot and Anisotropy Variogram Plot Variogram plot studies the spatial variability of the dataset performing the variogram computation The results are a series of three images the omnidirectional variogram four directional variograms a 0 45 90 and 135 degrees and a variogram map that can be used to assess the anisotropy of the field Installation Simply run the script START exe and select Variogram Plot from the buttons In order to run the software all the data and covariates that you need for running the interpolation must be in the folder c RHOME Running the Program The working flow for Variogram Plot is the following select data file input of ID number of the projection select number and covariates files input the linear regression model select the variogram model execute the cross validation This module can be used for an ordinary kriging variogram or for computing a regression variogram which uses a linear regression module Even if the user wants to perform a simple ordinary kriging variogram he needs to
2. insert a covariate file that will be used for the variogram boundary Results At the end of the module IntR displays a window with three buttons that are used to show the images of the variograms Anisotropy Anisotropy is a module that is used to provide the user with the two values used to assess the geometrical anisotropy of the field A geometrical anisotropy is evident when the directional variograms show the same sill but different ranges To correct this anisotropy the user needs to insert two parameters the angle of the direction of maximum continuity in positive degrees from north and the ratio between the range in the direction of maximum continuity and the range in the direction of minimum continuity Installation Simply run the script START exe and select Anisotropy from the buttons In order to run the software all the data that you need for running the interpolation must be in the folder c RHOME Running the Program This module asks only for the data file the projection and an ascii grid for bounding the variograms Results At the end of the module IntR displays a window with the values of the two parameters used to correct the geometrical anisotropy Those 2 values are saved in a txt file called parameters txt within the RHOME folder To correct the anisotropy the user needs to insert manually the two parameters when asked in one of the kriging modules IntR Interactive GUI for R Fabio Veronesi Universal Kri
3. a value on a square grid of dimension 10x10 m Subsequently the program will ask for the covariate number and to select the covariates files Be careful during this step because if you need to insert 2 covariates for example the second file selection window for selecting the second covariate will appear very shortly after the first At this point you must insert the linear regression model The model has to be in the form covariate 1 covariate2 covariateN Ex if the two covariates are named slope asc and em38h asc the model will be slope asct tem38h asc it is important to insert the entire name of the file extension included When you finish input the linear regression model IntR asks you for some variogram parameters such as the variogram model and the fitting algorithm It important to insert the name as it is shown on the screen Ex on the screen you will see a message like Please write the model of the variogram Type O for the default model Sph for Spherical Model Exp for Exponential model Gau for Gaussian model Mat for the Matern IntR Interactive GUI for R Fabio Veronesi if you want the spherical model you need to insert Sph with the first letter in capital For the fitting if you want the reml just type reml no capitals or gls no capitals for the generalized least square Subsequently a dialog appears and asks for the two anisotropy parameter The user if an aniso
4. saved on C If the result of the cross validation is satisfying you can click on YES and automatically proceed with the kriging with the same linear regression model If the result is not good you can click on NO and repeat the cross validation selecting again the linear regression model and all the parameters of the variogram Projection To set the projection of the map you need to insert the ID number of the coordinates system You can find a list of ID number and the relative system here http spatialreference org ref search utm amp srtext Search At the moment IntR supports only EPSG projections so you need to insert a number of an EPSG projection If your data are unprojected insert 0 in the apposite space It is important to insert the projection ID if the data are projected because the package GSTAT has been designed to work with projections This means that if the projection is available the interpolation is done using Euclidean Distances Output The output of the script are variogram plot in jpg prediction map in jpg kriging error map in jpg cross validation of the last used model in txt kriging results table in txt ascii grid of the map shp file with predicted points IntR Interactive GUI for R Fabio Veronesi CART This program performs a CART regression with the package tree The data file can be a txt and the format has to be the same of the one presented in the Data Forma
5. size select number and covariates files input the linear regression model select the variogram model execute the cross validation perform the regression Projection To set the projection of the map you need to insert the ID number of the coordinates system You can find a list of ID number and the relative system here http spatialreference org ref search utm amp srtext Search At the moment IntR supports only EPSG projections so you need to insert a number of an EPSG projection If your data are unprojected insert 0 in the apposite space It is important to insert the projection ID if the data are projected because the package GSTAT has been designed to work with projections This means that if the projection is available the interpolation is done using Euclidean Distances IntR Interactive GUI for R Fabio Veronesi Random Forest This script is similar to CART and asks for the same inputs The data file can be a txt and the format has to be the same of the one presented in the Data Format paragraph with the coordinates columns called Lat and Lon and the variable of interest column called value plus an ID column with a single value for every sample The separation must be a white space The first thing to type is the ID number of the projection Then like all the other algorithms Random Forest asks the user for a data file and for covariates Then it asks for the size of the prediction grid for the r
6. value of it and a button that shows the variogram image which is also saved on C If the result of the cross validation is satisfying you can click on YES and automatically proceed with the kriging with the same linear regression model If the result is not good you can click on NO and repeat the cross validation selecting again the linear regression model and all the parameters of the variogram Projection To set the projection of the map you need to insert the ID number of the coordinates system You can find a list of ID number and the relative system here http spatialreference org ref search utm amp srtext Search At the moment IntR supports only EPSG projections so you need to insert a number of an EPSG projection If your data are unprojected insert 0 in the apposite space It is important to insert the projection ID if the data are projected because the package GSTAT has been designed to work with projections This means that if the projection is available the interpolation is done using Euclidean Distances Output The output of the script are variogram plot in jpg prediction map in jpg kriging error map in jpg cross validation of the last used model in txt kriging results table in txt ascii grid of the map shp file with predicted points IntR Interactive GUI for R Fabio Veronesi Ordinary Kriging The Ordinary kriging script is similar to the other two kriging script The fo
7. IntR Interactive GUI for R Fabio Veronesi USER MANUAL Introductory Notes This software is a simple interface for compiling R script interactively After the script is compiled it runs it in batch mode All the computations are done using packages already present in R and NOT CREATED BY THE AUTHOR OF THIS SOFTWARE INTERFACE The packages with the relative authors are listed below GSTAT Pebesma E J 2004 Multivariable geostatistics in S the gstat package Computers amp Geosciences 30 683 691 sp Pebesma E J R S Bivand 2005 Classes and methods for spatial data in R R News 5 2 http cran r project org doc Rnews Roger S Bivand Edzer J Pebesma Virgilio Gomez Rubio 2008 Applied spatial data analysis with R Springer NY http www asdar book org maptools Nicholas J Lewin Koh and Roger Bivand RandomForest A Liaw and M Wiener 2002 Classification and Regression by randomForest R News 2 3 18 22 tree Brian Ripley rgdal Timothy H Keitt Roger Bivand Edzer Pebesma Barry Rowlingson lattice Sarkar Deepayan 2008 Lattice Multivariate Data Visualization with R Springer New York ISBN 978 0 387 75968 5 akima Albrecht Gebhardt 1998 Akima Interpolation of irregularly spaced data Note on R R is a very powerful statistical language However it is also a slow language and this is clear in geostatistical interpolations For this reason especially when it is interpolating with i
8. egression model At this point it starts R runs the script and shows the results which include a plot of observed versus predicted with a red line that indicate the 45 degree line and a black line which is a linear regression between observed and predicted Other results are a plot of the regression error versus the number of iterations and the prediction map also saved in jpg onto the main hard drive Installation Simply run the script START exe and select Ordinary Kriging from the buttons In order to run the software all the data and covariates that you need for running the interpolation must be in the folder c RHOME All the covariates need to be in ascii grid asc format To convert a table with Latitude Longitude and covariate value into asc you can use the Inverse Distance algorithm in IntR or any other GIS software To convert an ESRI raster into an ascii grid use the module from SHP to ASC Running the Program The working flow for Universal Kriging is the following input of ID number of the projection select data file select the prediction grid size select number and covariates files input the linear regression model select the variogram model execute the cross validation perform the regression Projection To set the projection of the map you need to insert the ID number of the coordinates system You can find a list of ID number and the relative system here http spatialreference org ref search utm a
9. er of the inverse distance the default is 2 Then you need to select the percentage of samples to exclude for validation In this case the validation is done creating two subsets of the data a training and a test subset based on the percentage of samples that the user inserted Then it interpolates the training data and predicts the variable in the test locations In the end it compares the observed and predicted values giving the R Square and the plotting the results The final step is to proceed with the inverse distance which uses all the available data and plots a Prediction Map in jpeg Results After the validation IntR shows a window with the R squared of the validation and a button to show a plot of the results The plot shows the observed versus the predicted values with a red line on the 45 degrees line and a black line that correspond to the linear regression between observed and predicted At the end of the module it shows the map with the prediction of the interpolation IntR Interactive GUI for R Fabio Veronesi Regression Kriging The Regression kriging is an alternative to Universal kriging The difference is that the linear regression is done separately from the variogram computation The script is very similar to Universal Kriging Installation Simply run the script START exe and select Regression Kriging from the buttons In order to run the software all the data and covariates that you need for running the inte
10. ging This python script will help you compiling and running a script able to perform a Universal kriging on your data The kriging is performed with the package Gstat Installation Simply run the script START exe and select Universal Kriging from the buttons In order to run the software all the data and covariates that you need for running the interpolation must be in the folder c RHOME All the covariates need to be in ascii grid asc format To convert a table with Latitude Longitude and covariate value into asc you can use the Inverse Distance algorithm in IntR or any other GIS software To convert an ESRI raster into an ascii grid use the module from SHP to ASC Running the Program The working flow for Universal Kriging is the following input of ID number of the projection select data file select the prediction grid size select number and covariates files input the linear regression model select the variogram model execute the cross validation perform the kriging The first information the program needs is the ID number of the projection For more information see paragraph Projection below After that the program will ask you to choose the data file The data file can be a txt and the format has to be the same of the one presented in the Data Format paragraph In the next input windows IntR asks you to insert the grid size of your prediction grid If you insert 10 for example it means that IntR will predict
11. gram plot in jpg prediction map in jpg kriging error map in jpg cross validation of the last used model in txt kriging results table in txt ascii grid of the map shp file with predicted points IntR Interactive GUI for R Fabio Veronesi Inverse Distance This program performs an inverse distance interpolation The data file can be a txt and the format has to be the same of the one presented in the Data Format paragraph However this module asks for the name of the variable of interest so the user can use a file with different variables and perform an IDW inverse distance weighted for each variable of interest Running the Program The working flow for Inverse Distance is the following select data file input of ID number of the projection select the prediction grid size select the ascii grid file select the inverse distance power select the percentage of data excluded for validation execute the cross validation perform the inverse distance The inverse distance algorithm asks first for a data file Then it asks for a projection ID number see paragraph Projection in the Universal kriging section If the file is unprojected or if you don t want to consider projection in your computation type 0 After that IntR asks you to select an Ascii Grid that will be used as a base for the final interpolation The asc file can be the result of the script SHPtoASC The next step requires you to select the pow
12. int you must insert the linear regression model The model has to be in the form covariate 1 covariate2 covariateN Ex if the two covariates are named slope asc and em38h asc the model will be slope asct tem38h asc it is important to insert the entire name of the file extension included When you finish input the linear regression model IntR asks you for some variogram parameters such as the variogram model and the fitting algorithm It important to insert the name as it is shown on the screen Ex on the screen you will see a message like Please write the model of the variogram Type 0 for the default model Sph for Spherical Model Exp for Exponential model IntR Interactive GUI for R Fabio Veronesi Gau for Gaussian model Mat for the Matern if you want the spherical model you need to insert Sph with the first letter in capital For the fitting if you want the reml just type reml no capitals or gls no capitals for the generalized least square Subsequently a dialog appears and asks for the two anisotropy parameter The user if anisotropy is presents needs to insert the two numbers separated by a comma If no anisotropy is present in the field the user needs to insert a single 0 Ex Parameter p is 45 and the parameter s is 0 5 The user has to insert 45 0 5 At this point the cross validation starts After it finishes the cross validation it shows a window with the R Squared
13. mp srtext Search At the moment IntR supports only EPSG projections so you need to insert a number of an EPSG projection If your data are unprojected insert 0 in the apposite space It is important to insert the projection ID if the data are projected because the package GSTAT has been designed to work with projections This means that if the projection is available the interpolation is done using Euclidean Distances
14. nverse distance it takes some time to finish the process Do not worry too much and let it works System Requirements The system requirements are the same of R In this version of IntR is included the version 2 12 0 of R that is used to run the scripts This version of R is compatible with 32bit machines On these machines R can run but it has some memory limitations It can use a maximum of 4 Gb of RAM but in some machines the amount is limited at 2 or 3 Gb of RAM This means that sometimes R will not be able to complete the process because it is not able to allocate the data onto the RAM However there are some ways to limit the amount of memory necessary for complete the process The common tip is to reduce the size of data and covariates In IntR the user can choose in every step of the process the resolution of the ascii grid and the resolution of the map that he wants to create This way if the user notices that R does not complete the process because of a memory related problem he can just decrease the resolution and try again The only way to increase the memory that R can use for its computation is to use a 64bit machine On these machines the upper limit of RAM that can be used by R is virtually unlimited Data Format IntR works with data file arrange in a textual table in txt format The structure of the file must be like the following example ID Lat Lon value 1 XXXXXX XX yyyyyy yy ii 2 XXXXXX XX yyy
15. o choose the data file The data file can be a txt and the format has to be the same of the one presented in the Data Format paragraph In the next input windows IntR asks you to insert the grid size of your prediction grid If you insert 10 for example it means that IntR will predict a value on a square grid of dimension 10x10 m Subsequently the program will ask for an ascii grid This will be used to bind the variogram Ex on the screen you will see a message like the following Please write the model of the variogram Type 0 for the default model Sph for Spherical Model Exp for Exponential model Gau for Gaussian model Mat for the Matern if you want the spherical model you need to insert Sph with the first letter in capital For the fitting if you want the reml just type reml no capitals or gls no capitals for the generalized least square IntR Interactive GUI for R Fabio Veronesi Subsequently a dialog appears and asks for the two anisotropy parameter The user if an anisotropy is presents needs to insert the two numbers separated by a comma If no anisotropy is present in the field the user needs to insert a single 0 Ex Parameter p is 45 and the parameter s is 0 5 The user has to insert 45 0 5 At this point the cross validation starts After it finishes the cross validation it shows a window with the R Squared value of it and a button that shows the variogram image which is also
16. rmat of the data file is the same coordinates columns called Lat and Lon and the data column called value The difference of course is that with the ordinary kriging you don t need to insert covariates However you still need to insert an ascii grid for interpolating the final prediction map The ascii grid can be the result of the SHPtoASC script The series of information needed by the software are similar to the one needed for universal kriging Installation Simply run the script START exe and select Ordinary Kriging from the buttons In order to run the software all the data and covariates that you need for running the interpolation must be in the folder c RHOME All the covariates need to be in ascii grid asc format To convert a table with Latitude Longitude and covariate value into asc you can use the Inverse Distance algorithm in IntR or any other GIS software To convert an ESRI raster into an ascii grid use the module from SHP to ASC Running the Program The working flow for Universal Kriging is the following input of ID number of the projection select data file select the prediction grid size select number and covariates files input the linear regression model select the variogram model execute the cross validation perform the kriging The first information the program needs is the ID number of the projection For more information see paragraph Projection below After that the program will ask you t
17. rpolation must be in the folder c RHOME All the covariates need to be in ascii grid asc format To convert a table with Latitude Longitude and covariate value into asc you can use the Inverse Distance algorithm in IntR or any other GIS software To convert an ESRI raster into an ascii grid use the module from SHP to ASC Running the Program The working flow for Regression Kriging is the following input of ID number of the projection select data file select the prediction grid size select number and covariates files input the linear regression model select the variogram model execute the cross validation perform the kriging The first information the program needs is the ID number of the projection For more information see paragraph Projection below After that the program will ask you to choose the data file The data file can be a txt and the format has to be the same of the one presented in the Data Format paragraph In the next input windows IntR asks you to insert the grid size of your prediction grid If you insert 10 for example it means that IntR will predict a value on a square grid of dimension 10x10 m Subsequently the program will ask for the covariate number and to select the covariates files Be careful during this step because if you need to insert 2 covariates for example the second file selection window for selecting the second covariate will appear very shortly after the first At this po
18. t paragraph with the coordinates columns called Lat and Lon and the variable of interest column called value plus an ID column with a single value for every sample The separation must be a white space The first thing to type is the ID number of the projection Then like all the other algorithms CART asks the user for a data file and for covariates Then it asks for the size of the prediction grid for the regression model At this point it starts R runs the script and shows the results which include a plot of observed versus predicted with a red line that indicate the 45 degree line and a black line which is a linear regression between observed and predicted Other results are a plot of the tree and the prediction map also saved in jpg onto the main hard drive Installation Simply run the script START exe and select Ordinary Kriging from the buttons In order to run the software all the data and covariates that you need for running the interpolation must be in the folder c RHOME All the covariates need to be in ascii grid asc format To convert a table with Latitude Longitude and covariate value into asc you can use the Inverse Distance algorithm in IntR or any other GIS software To convert an ESRI raster into an ascii grid use the module from SHP to ASC Running the Program The working flow for Universal Kriging is the following input of ID number of the projection select data file select the prediction grid
19. tropy is presents needs to insert the two numbers separated by a comma If no anisotropy is present in the field the user needs to insert a single 0 Ex Parameter p is 45 and the parameter s is 0 5 The user has to insert 45 0 5 At this point the cross validation starts After it finishes the cross validation it shows a window with the R Squared value of it and a button that shows the variogram image which is also saved on C If the result of the cross validation is satisfying you can click on YES and automatically proceed with the kriging with the same linear regression model If the result is not good you can click on NO and repeat the cross validation selecting again the linear regression model and all the parameters of the variogram Projection To set the projection of the map you need to insert the ID number of the coordinates system You can find a list of ID number and the relative system here http spatialreference org ref search utm amp srtext Search At the moment IntR supports only EPSG projections so you need to insert a number of an EPSG projection If your data are unprojected insert 0 in the apposite space It is important to insert the projection ID if the data are projected because the package GSTAT has been designed to work with projections This means that if the projection is available the interpolation is done using Euclidean Distances Output The output of the script are vario
20. yyy yy iii 3 XXXXXX XX yyyyyy yy iii 4 XXXXXX XX yyyyyy yy iii The format of the two spatial coordinates is not important because within the sp package in R there is the possibility to set the projection of your data according to the proj4string format http spatialreference org Once the user insert the correct projection of his data all the interpolation will consider the Euclidean distance between data points The important thing is that the header of the file is exactly the same of the above example IntR Interactive GUI for R Fabio Veronesi Covariates format All the covariates need to be in ascii grid In IntR there is a module that converts the data between the ESRI shape file and the ascii grid format In this module the user can convert a raster into an ascii grid selecting the resolution of the final grid Starting IntR When the user starts IntR the software shows a window with a button for each module of the program The user can very intuitively click on the button that corresponds to the module he wants to start To consult this user manual the user can click on the menu File and on the menu item User Guide Each module corresponds to a different task that will be compiled interactively in IntR and executed with R Following there are detailed instructions for each module E IntR Interactive GUI for R File Ordinary Inverse Distance From SHP polygon Kriging Interpolation to ASC AsciiGrid
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