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Open Source Geospatial Software - an Introduction Spatial Programming with R V. G omez-Rubio Based on some course notes by Roger S. Bivand Departamento de Matem aticas Universidad de Castilla-La Mancha 17-18 Novermber 2008 Department of


  1. Introduction Non-standard research questions Because S (and its implementation R) is a well-developed, simple and effective programming language which includes conditionals, loops, user-defined recursive functions and input and output facilities, existing functions can be modified. Jackman: “if your notion of data analysis runs to more than estimating coefficients and t-statistics . . . then from time-to-time you’ll find yourself programming, if only a little . . . easy programming and flexibility is key for a serious statistical computing environment.” In any case, documenting the analysis process is a“good thing” , so programming scripts are not just a burden, certainly for users doing original research and repetetive work, arguably for student classes too. V. G´ omez Rubio (U. Castilla-La Mancha) Open Source Geospatial Software 17-18 November 2008 6 / 60

  2. Introduction Getting up to speed in R R is a programming language, so using it can build on earlier experience with programming (accepting that languages do vary). V. G´ omez Rubio (U. Castilla-La Mancha) Open Source Geospatial Software 17-18 November 2008 7 / 60

  3. Introduction Getting up to speed in R R is a programming language, so using it can build on earlier experience with programming (accepting that languages do vary). The“Introduction to R ”shipped with R is up to date, and covers many questions quite well. V. G´ omez Rubio (U. Castilla-La Mancha) Open Source Geospatial Software 17-18 November 2008 7 / 60

  4. Introduction Getting up to speed in R R is a programming language, so using it can build on earlier experience with programming (accepting that languages do vary). The“Introduction to R ”shipped with R is up to date, and covers many questions quite well. There are a number of online resources too, both linked from CRAN, and others; Gilberto Cˆ amara has assembled a systematic introduction bearing on spatial data. V. G´ omez Rubio (U. Castilla-La Mancha) Open Source Geospatial Software 17-18 November 2008 7 / 60

  5. Introduction Getting up to speed in R R is a programming language, so using it can build on earlier experience with programming (accepting that languages do vary). The“Introduction to R ”shipped with R is up to date, and covers many questions quite well. There are a number of online resources too, both linked from CRAN, and others; Gilberto Cˆ amara has assembled a systematic introduction bearing on spatial data. Robert Gentleman’s introduction to classes and methods in R is still one of the clearest. V. G´ omez Rubio (U. Castilla-La Mancha) Open Source Geospatial Software 17-18 November 2008 7 / 60

  6. Introduction Analysing Spatial Data in R: Representing Spatial Data V. G´ omez Rubio (U. Castilla-La Mancha) Open Source Geospatial Software 17-18 November 2008 8 / 60

  7. Introduction Object framework To begin with, all contributed packages for handling spatial data in R had different representations of the data. V. G´ omez Rubio (U. Castilla-La Mancha) Open Source Geospatial Software 17-18 November 2008 9 / 60

  8. Introduction Object framework To begin with, all contributed packages for handling spatial data in R had different representations of the data. This made it difficult to exchange data both within R between packages, and between R and external file formats and applications. V. G´ omez Rubio (U. Castilla-La Mancha) Open Source Geospatial Software 17-18 November 2008 9 / 60

  9. Introduction Object framework To begin with, all contributed packages for handling spatial data in R had different representations of the data. This made it difficult to exchange data both within R between packages, and between R and external file formats and applications. The result has been an attempt to develop shared classes to represent spatial data in R, allowing some shared methods and many-to-one, one-to-many conversions. V. G´ omez Rubio (U. Castilla-La Mancha) Open Source Geospatial Software 17-18 November 2008 9 / 60

  10. Introduction Object framework To begin with, all contributed packages for handling spatial data in R had different representations of the data. This made it difficult to exchange data both within R between packages, and between R and external file formats and applications. The result has been an attempt to develop shared classes to represent spatial data in R, allowing some shared methods and many-to-one, one-to-many conversions. We chose to use new-style classes to represent spatial data, and are confident that this choice was justified. V. G´ omez Rubio (U. Castilla-La Mancha) Open Source Geospatial Software 17-18 November 2008 9 / 60

  11. Introduction Spatial objects The foundation object is the Spatial class, with just two slots (new-style class objects have pre-defined components called slots) V. G´ omez Rubio (U. Castilla-La Mancha) Open Source Geospatial Software 17-18 November 2008 10 / 60

  12. Introduction Spatial objects The foundation object is the Spatial class, with just two slots (new-style class objects have pre-defined components called slots) The first is a bounding box, and is mostly used for setting up plots V. G´ omez Rubio (U. Castilla-La Mancha) Open Source Geospatial Software 17-18 November 2008 10 / 60

  13. Introduction Spatial objects The foundation object is the Spatial class, with just two slots (new-style class objects have pre-defined components called slots) The first is a bounding box, and is mostly used for setting up plots The second is a CRS class object defining the coordinate reference system, and may be set to CRS(as.character(NA)) , its default value. V. G´ omez Rubio (U. Castilla-La Mancha) Open Source Geospatial Software 17-18 November 2008 10 / 60

  14. Introduction Spatial objects The foundation object is the Spatial class, with just two slots (new-style class objects have pre-defined components called slots) The first is a bounding box, and is mostly used for setting up plots The second is a CRS class object defining the coordinate reference system, and may be set to CRS(as.character(NA)) , its default value. Operations on Spatial* objects should update or copy these values to the new Spatial* objects being created V. G´ omez Rubio (U. Castilla-La Mancha) Open Source Geospatial Software 17-18 November 2008 10 / 60

  15. Spatial points Spatial points The most basic spatial data object is a point, which may have 2 or 3 dimensions V. G´ omez Rubio (U. Castilla-La Mancha) Open Source Geospatial Software 17-18 November 2008 11 / 60

  16. Spatial points Spatial points The most basic spatial data object is a point, which may have 2 or 3 dimensions A single coordinate, or a set of such coordinates, may be used to define a SpatialPoints object; coordinates should be of mode double and will be promoted if not V. G´ omez Rubio (U. Castilla-La Mancha) Open Source Geospatial Software 17-18 November 2008 11 / 60

  17. Spatial points Spatial points The most basic spatial data object is a point, which may have 2 or 3 dimensions A single coordinate, or a set of such coordinates, may be used to define a SpatialPoints object; coordinates should be of mode double and will be promoted if not The points in a SpatialPoints object may be associated with a row of attributes to create a SpatialPointsDataFrame object V. G´ omez Rubio (U. Castilla-La Mancha) Open Source Geospatial Software 17-18 November 2008 11 / 60

  18. Spatial points Spatial points The most basic spatial data object is a point, which may have 2 or 3 dimensions A single coordinate, or a set of such coordinates, may be used to define a SpatialPoints object; coordinates should be of mode double and will be promoted if not The points in a SpatialPoints object may be associated with a row of attributes to create a SpatialPointsDataFrame object The coordinates and attributes may, but do not have to be keyed to each other using ID values V. G´ omez Rubio (U. Castilla-La Mancha) Open Source Geospatial Software 17-18 November 2008 11 / 60

  19. Spatial points classes and their slots

  20. Spatial points Using the Meuse bank data set of soil samples and measurements of heavy metal pollution provided with sp , we’ll make a SpatialPoints object. > library(sp) > data(meuse) > coords <- SpatialPoints(meuse[, c("x", "y")]) > summary(coords) Object of class SpatialPoints Coordinates: min max x 178605 181390 y 329714 333611 Is projected: NA proj4string : [NA] Number of points: 155

  21. Spatial points Now we’ll add the original data frame to make a SpatialPointsDataFrame object. Many methods for standard data frames just work with SpatialPointsDataFrame objects. > meuse1 <- SpatialPointsDataFrame(coords, meuse) > names(meuse1) [1] "x" "y" "cadmium" "copper" "lead" "zinc" [7] "elev" "dist" "om" "ffreq" "soil" "lime" [13] "landuse" "dist.m" > summary(meuse1$zinc) Min. 1st Qu. Median Mean 3rd Qu. Max. 113.0 198.0 326.0 469.7 674.5 1839.0 > stem(meuse1$zinc, scale = 1/2) The decimal point is 2 digit(s) to the right of the | 0 | 12223333344444455666677778888899999999 2 | 000000011111112222233444555666678880022334455788 4 | 00012235677001455556789 6 | 01144678890012455678889 8 | 0133113 10 | 235604469 12 | 8 14 | 5357 16 | 7 18 | 4

  22. Spatial polygons Spatial lines and polygons A Line object is just a spaghetti collection of 2D coordinates; a Polygon object is a Line object with equal first and last coordinates V. G´ omez Rubio (U. Castilla-La Mancha) Open Source Geospatial Software 17-18 November 2008 15 / 60

  23. Spatial polygons Spatial lines and polygons A Line object is just a spaghetti collection of 2D coordinates; a Polygon object is a Line object with equal first and last coordinates A Lines object is a list of Line objects, such as all the contours at a single elevation; the same relationship holds between a Polygons object and a list of Polygon objects, such as islands belonging to the same county V. G´ omez Rubio (U. Castilla-La Mancha) Open Source Geospatial Software 17-18 November 2008 15 / 60

  24. Spatial polygons Spatial lines and polygons A Line object is just a spaghetti collection of 2D coordinates; a Polygon object is a Line object with equal first and last coordinates A Lines object is a list of Line objects, such as all the contours at a single elevation; the same relationship holds between a Polygons object and a list of Polygon objects, such as islands belonging to the same county SpatialLines and SpatialPolygons objects are made using lists of Lines or Polygons objects respectively V. G´ omez Rubio (U. Castilla-La Mancha) Open Source Geospatial Software 17-18 November 2008 15 / 60

  25. Spatial polygons Spatial lines and polygons A Line object is just a spaghetti collection of 2D coordinates; a Polygon object is a Line object with equal first and last coordinates A Lines object is a list of Line objects, such as all the contours at a single elevation; the same relationship holds between a Polygons object and a list of Polygon objects, such as islands belonging to the same county SpatialLines and SpatialPolygons objects are made using lists of Lines or Polygons objects respectively SpatialLinesDataFrame and SpatialPolygonsDataFrame objects are defined using SpatialLines and SpatialPolygons objects and standard data frames, and the ID fields are here required to match the data frame row names V. G´ omez Rubio (U. Castilla-La Mancha) Open Source Geospatial Software 17-18 November 2008 15 / 60

  26. Spatial Polygons classes and slots

  27. Spatial polygons The Meuse bank data set also includes the coordinates of the edge of the river, linked together at the edge of the study area to form a polygon. We can make these coordinates into a SpatialPolygons object: > data(meuse.riv) > str(meuse.riv) num [1:176, 1:2] 182004 182137 182252 182314 182332 ... > river_polygon <- Polygons(list(Polygon(meuse.riv)), ID = "meuse") > rivers <- SpatialPolygons(list(river_polygon)) > summary(rivers) Object of class SpatialPolygons Coordinates: min max r1 178304.0 182331.5 r2 325698.5 337684.8 Is projected: NA proj4string : [NA]

  28. Spatial lines There is a helper function contourLines2SLDF to convert the list of contours returned by contourLines into a SpatialLinesDataFrame object. This example shows how the data slot row names match the ID slot values of the set of Lines objects making up the SpatialLinesDataFrame , note that some Lines objects include multiple Line objects: > library(maptools) > volcano_sl <- ContourLines2SLDF(contourLines(volcano)) > row.names(slot(volcano_sl, "data")) [1] "C_1" "C_2" "C_3" "C_4" "C_5" "C_6" "C_7" "C_8" "C_9" [10] "C_10" > sapply(slot(volcano_sl, "lines"), function(x) slot(x, + "ID")) [1] "C_1" "C_2" "C_3" "C_4" "C_5" "C_6" "C_7" "C_8" "C_9" [10] "C_10" > sapply(slot(volcano_sl, "lines"), function(x) length(slot(x, + "Lines"))) [1] 3 4 1 1 1 2 2 3 2 1 > volcano_sl$level [1] 100 110 120 130 140 150 160 170 180 190 Levels: 100 110 120 130 140 150 160 170 180 190

  29. Spatial grids and pixels Spatial grids and pixels There are two representations for data on regular rectangular grids (oriented N-S, E-W): SpatialPixels and SpatialGrid V. G´ omez Rubio (U. Castilla-La Mancha) Open Source Geospatial Software 17-18 November 2008 19 / 60

  30. Spatial grids and pixels Spatial grids and pixels There are two representations for data on regular rectangular grids (oriented N-S, E-W): SpatialPixels and SpatialGrid SpatialPixels are like SpatialPoints objects, but the coordinates have to be regularly spaced; the coordinates are stored, as are grid indices V. G´ omez Rubio (U. Castilla-La Mancha) Open Source Geospatial Software 17-18 November 2008 19 / 60

  31. Spatial grids and pixels Spatial grids and pixels There are two representations for data on regular rectangular grids (oriented N-S, E-W): SpatialPixels and SpatialGrid SpatialPixels are like SpatialPoints objects, but the coordinates have to be regularly spaced; the coordinates are stored, as are grid indices SpatialPixelsDataFrame objects only store attribute data where it is present, but need to store the coordinates and grid indices of those grid cells V. G´ omez Rubio (U. Castilla-La Mancha) Open Source Geospatial Software 17-18 November 2008 19 / 60

  32. Spatial grids and pixels Spatial grids and pixels There are two representations for data on regular rectangular grids (oriented N-S, E-W): SpatialPixels and SpatialGrid SpatialPixels are like SpatialPoints objects, but the coordinates have to be regularly spaced; the coordinates are stored, as are grid indices SpatialPixelsDataFrame objects only store attribute data where it is present, but need to store the coordinates and grid indices of those grid cells SpatialGridDataFrame objects do not need to store coordinates, because they fill the entire defined grid, but they need to store NA values where attribute values are missing V. G´ omez Rubio (U. Castilla-La Mancha) Open Source Geospatial Software 17-18 November 2008 19 / 60

  33. Spatial grid and pixels classes and their slots

  34. Spatial pixels Let’s make a SpatialPixelsDataFrame object for the Meuse bank grid data provided, with regular points at a 40m spacing. The data include soil types, flood frequency classes and distance from the river bank: > data(meuse.grid) > coords <- SpatialPixels(SpatialPoints(meuse.grid[, c("x", + "y")])) > meuseg1 <- SpatialPixelsDataFrame(coords, meuse.grid) > names(meuseg1) [1] "x" "y" "part.a" "part.b" "dist" "soil" "ffreq" > slot(meuseg1, "grid") x y cellcentre.offset 178460 329620 cellsize 40 40 cells.dim 78 104 > object.size(meuseg1) [1] 339036 > dim(slot(meuseg1, "data")) [1] 3103 7

  35. Spatial grids In this case we convert the SpatialPixelsDataFrame object to a SpatialGridDataFrame by making a change in-place. In other contexts, it is much more usual to create the GridTopology object in the grid slot directly, and populate the grid from there, as we’ll see later: > meuseg2 <- meuseg1 > fullgrid(meuseg2) <- TRUE > slot(meuseg2, "grid") x y cellcentre.offset 178460 329620 cellsize 40 40 cells.dim 78 104 > class(slot(meuseg2, "grid")) [1] "GridTopology" attr(,"package") [1] "sp" > object.size(meuseg2) [1] 425684 > dim(slot(meuseg2, "data")) [1] 8112 7

  36. Spatial classes provided by sp This table summarises the classes provided by sp , and shows how they build up to the objects of most practical use, the Spatial*DataFrame family objects: data type class attributes extends points SpatialPoints none Spatial points SpatialPointsDataFrame data.frame SpatialPoints pixels SpatialPixels none SpatialPoints pixels SpatialPixelsDataFrame data.frame SpatialPixels SpatialPointsDataFrame full grid none SpatialGrid SpatialPixels full grid SpatialGridDataFrame data.frame SpatialGrid line none Line lines none Line list Lines lines none Spatial , Lines list SpatialLines lines SpatialLinesDataFrame data.frame SpatialLines polygon none Polygon Line polygons none Polygon list Polygons polygons none Spatial , Polygons list SpatialPolygons polygons SpatialPolygonsDataFrame data.frame SpatialPolygons

  37. Methods provided by sp This table summarises the methods provided by sp : method what it does [ select spatial items (points, lines, polygons, or rows/cols from a grid) and/or attributes variables $ , $<- , [[ , [[<- retrieve, set or add attribute table columns spsample sample points from a set of polygons, on a set of lines or from a gridded area bbox get the bounding box proj4string get or set the projection (coordinate reference sys- tem) coordinates set or retrieve coordinates coerce convert from one class to another overlay combine two different spatial objects point.in.polygon do point(s) fall in a given polygon?

  38. Spatial grids and pixels Using Spatial family objects Very often, the user never has to manipulate Spatial family objects directly, as we have been doing here, because methods to create them from external data are also provided V. G´ omez Rubio (U. Castilla-La Mancha) Open Source Geospatial Software 17-18 November 2008 25 / 60

  39. Spatial grids and pixels Using Spatial family objects Very often, the user never has to manipulate Spatial family objects directly, as we have been doing here, because methods to create them from external data are also provided Because the Spatial*DataFrame family objects behave in most cases like data frames, most of what we are used to doing with standard data frames just works — like "[" or $ (but no merge , etc., yet) V. G´ omez Rubio (U. Castilla-La Mancha) Open Source Geospatial Software 17-18 November 2008 25 / 60

  40. Spatial grids and pixels Using Spatial family objects Very often, the user never has to manipulate Spatial family objects directly, as we have been doing here, because methods to create them from external data are also provided Because the Spatial*DataFrame family objects behave in most cases like data frames, most of what we are used to doing with standard data frames just works — like "[" or $ (but no merge , etc., yet) These objects are very similar to typical representations of the same kinds of objects in geographical information systems, so they do not suit spatial data that is not geographical (like medical imaging) as such V. G´ omez Rubio (U. Castilla-La Mancha) Open Source Geospatial Software 17-18 November 2008 25 / 60

  41. Spatial grids and pixels Using Spatial family objects Very often, the user never has to manipulate Spatial family objects directly, as we have been doing here, because methods to create them from external data are also provided Because the Spatial*DataFrame family objects behave in most cases like data frames, most of what we are used to doing with standard data frames just works — like "[" or $ (but no merge , etc., yet) These objects are very similar to typical representations of the same kinds of objects in geographical information systems, so they do not suit spatial data that is not geographical (like medical imaging) as such They provide a standard base for analysis packages on the one hand, and import and export of data on the other, as well as shared methods, like those for visualisation we turn to now V. G´ omez Rubio (U. Castilla-La Mancha) Open Source Geospatial Software 17-18 November 2008 25 / 60

  42. Spatial grids and pixels Analysing Spatial Data in R: Vizualising Spatial Data V. G´ omez Rubio (U. Castilla-La Mancha) Open Source Geospatial Software 17-18 November 2008 26 / 60

  43. Introduction Vizualising Spatial Data Displaying spatial data is one of the chief reasons for providing ways of handling it in a statistical environment V. G´ omez Rubio (U. Castilla-La Mancha) Open Source Geospatial Software 17-18 November 2008 27 / 60

  44. Introduction Vizualising Spatial Data Displaying spatial data is one of the chief reasons for providing ways of handling it in a statistical environment Of course, there will be differences between analytical and presentation graphics here as well — the main point is to get a usable display quickly, and move to presentation quality cartography later V. G´ omez Rubio (U. Castilla-La Mancha) Open Source Geospatial Software 17-18 November 2008 27 / 60

  45. Introduction Vizualising Spatial Data Displaying spatial data is one of the chief reasons for providing ways of handling it in a statistical environment Of course, there will be differences between analytical and presentation graphics here as well — the main point is to get a usable display quickly, and move to presentation quality cartography later In general, maintaining aspect is vital, and that can be done in both base and lattice graphics in R (note that both sp and maps display methods for spatial data with geographical coordinates“stretch”the y-axis) V. G´ omez Rubio (U. Castilla-La Mancha) Open Source Geospatial Software 17-18 November 2008 27 / 60

  46. Introduction Vizualising Spatial Data Displaying spatial data is one of the chief reasons for providing ways of handling it in a statistical environment Of course, there will be differences between analytical and presentation graphics here as well — the main point is to get a usable display quickly, and move to presentation quality cartography later In general, maintaining aspect is vital, and that can be done in both base and lattice graphics in R (note that both sp and maps display methods for spatial data with geographical coordinates“stretch”the y-axis) We’ll look at the basic methods for displaying spatial data in sp ; other packages have their own methods, but the next unit will show ways of moving data from them to sp classes V. G´ omez Rubio (U. Castilla-La Mancha) Open Source Geospatial Software 17-18 November 2008 27 / 60

  47. Just spatial objects Just spatial objects There are base graphics plot methods for the key Spatial* classes, including the Spatial class, which just sets up the axes V. G´ omez Rubio (U. Castilla-La Mancha) Open Source Geospatial Software 17-18 November 2008 28 / 60

  48. Just spatial objects Just spatial objects There are base graphics plot methods for the key Spatial* classes, including the Spatial class, which just sets up the axes In base graphics, additional plots can be added by overplotting as usual, and the locator() and identify() functions work as expected V. G´ omez Rubio (U. Castilla-La Mancha) Open Source Geospatial Software 17-18 November 2008 28 / 60

  49. Just spatial objects Just spatial objects There are base graphics plot methods for the key Spatial* classes, including the Spatial class, which just sets up the axes In base graphics, additional plots can be added by overplotting as usual, and the locator() and identify() functions work as expected In general, most par() options will also work, as will the full range of graphics devices (although some copying operations may disturb aspect) V. G´ omez Rubio (U. Castilla-La Mancha) Open Source Geospatial Software 17-18 November 2008 28 / 60

  50. Just spatial objects Just spatial objects There are base graphics plot methods for the key Spatial* classes, including the Spatial class, which just sets up the axes In base graphics, additional plots can be added by overplotting as usual, and the locator() and identify() functions work as expected In general, most par() options will also work, as will the full range of graphics devices (although some copying operations may disturb aspect) First we will display the positional data of the objects discussed in the first unit V. G´ omez Rubio (U. Castilla-La Mancha) Open Source Geospatial Software 17-18 November 2008 28 / 60

  51. Plotting a SpatialPoints object While plotting the SpatialPoints object would have called the plot 333000 method for Spatial objects internally to set up the axes, we start by doing it separately: 332000 > plot(as(meuse1, "Spatial"), + axes = TRUE) > plot(meuse1, add = TRUE) > plot(meuse1[meuse1$ffreq == + 1, ], col = "green", add = TRUE) 331000 Then we plot the points with the default plotting character, and 330000 subset, overplotting points in flood frequency class 1 in green, using the [ method 179000 180000 181000

  52. Plotting a SpatialPolygons object 334000 In plotting the SpatialPolygons 333000 object, we use the ylim= argument to restrict the display area to match the soil sample points. 332000 > plot(rivers, axes = TRUE, col = "azure1", + ylim = c(329400, 334000)) > box() 331000 If the axes= argument is FALSE or omitted, no axes are shown — the 330000 default is the opposite from standard base graphics plot methods 178000 179000 180000 181000 182000

  53. Plotting a SpatialPixels object 334000 Both SpatialPixels and SpatialGrid 333000 objects are plotted like SpatialPoints objects, with plotting characters 332000 > plot(rivers, axes = TRUE, col = "azure1", + ylim = c(329400, 334000)) > box() > plot(meuseg1, add = TRUE, col = "grey60", 331000 + cex = 0.15) While points, lines, and polygons are often plotted without attributes, this 330000 is rarely the case for gridded objects 178000 179000 180000 181000 182000

  54. Including attributes Including attributes To include attribute values means making choices about how to represent their values graphically, known in some GIS as symbology V. G´ omez Rubio (U. Castilla-La Mancha) Open Source Geospatial Software 17-18 November 2008 32 / 60

  55. Including attributes Including attributes To include attribute values means making choices about how to represent their values graphically, known in some GIS as symbology It involves choices of symbol shape, colour and size, and of which objects to differentiate V. G´ omez Rubio (U. Castilla-La Mancha) Open Source Geospatial Software 17-18 November 2008 32 / 60

  56. Including attributes Including attributes To include attribute values means making choices about how to represent their values graphically, known in some GIS as symbology It involves choices of symbol shape, colour and size, and of which objects to differentiate When the data are categorical, the choices are given, unless there are so many different categories that reclassification is needed for clear display V. G´ omez Rubio (U. Castilla-La Mancha) Open Source Geospatial Software 17-18 November 2008 32 / 60

  57. Including attributes Including attributes To include attribute values means making choices about how to represent their values graphically, known in some GIS as symbology It involves choices of symbol shape, colour and size, and of which objects to differentiate When the data are categorical, the choices are given, unless there are so many different categories that reclassification is needed for clear display Once we’ve looked at some examples, we’ll go on to see how class intervals may be chosen for continuous data V. G´ omez Rubio (U. Castilla-La Mancha) Open Source Geospatial Software 17-18 November 2008 32 / 60

  58. Flood frequencies at soil sample sites We will usually need to get the category levels and match them to annual ● ● ● ● ● every 2−5 years ● ● ● colours (or plotting characters)“by ● ● > 5 years ● ● ● ● ● ● ● ● ● ● ● hand” ● ● ● ● ● ● ● ● ● ● ● ● ●● ● > meuse1$ffreq1 <- as.numeric(meuse1$ffreq) ● ● ● ● ● > plot(meuse1, col = meuse1$ffreq1, ● ● ● ● ● ● ● ● ● + pch = 19) ● ● ● ● ● ● ● ● ● ● ● > labs <- c("annual", "every 2-5 years", ● ● ● ● ● ● ● ● + "> 5 years") ● ● ● ● ● ● > cols <- 1:nlevels(meuse1$ffreq) ● ● ● ● ● ● ● ● ● > legend("topleft", legend = labs, ● ● ● ● ● ● ● + col = cols, pch = 19, bty = "n") ● ● ● ● ● ● ● ● ● ● ● ● It is also typical that the legend() ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● involves more code than everything ● ●● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● else together, but very often the ● ● ● ● ● ● ● ● ● same vectors are used repeatedly and ● ● ● ● ● ● ● can be assigned just once

  59. Coloured contour lines Here again, the values are represented as a categorical variable, and so do not require classification > volcano_sl$level1 <- as.numeric(volcano_sl$level) > pal <- terrain.colors(nlevels(volcano_sl$level)) > plot(volcano_sl, bg = "grey70", + col = pal[volcano_sl$level1], + lwd = 3) Using class membership for colour palette look-up is a very typical idiom, so that the col= argument is in fact a vector of colour values

  60. Displaying gridded data annual every 2−5 years Since we also have 40m grid flood > 5 years frequencies, we can try to display them — here we use the image() method, which first fills in the NAs, the makes a matrix of the chosen variable > meuseg1$ffreq1 <- as.numeric(meuseg1$ffreq) > image(meuseg1, "ffreq1", col = cols) > legend("topleft", legend = labs, + fill = cols, bty = "n") Some of the arguments here are like those we’ll meet soon for lattice graphics

  61. Lattice graphics Lattice graphics Lattice graphics will only come into their own later on, when we want to plot several variables with the same scale together for comparison V. G´ omez Rubio (U. Castilla-La Mancha) Open Source Geospatial Software 17-18 November 2008 36 / 60

  62. Lattice graphics Lattice graphics Lattice graphics will only come into their own later on, when we want to plot several variables with the same scale together for comparison The workhorse method is spplot , which can be used as an interface to the underlying xyplot or levelplot methods, or others as suitable; overplotting must be done in the single call to spplot — see gallery V. G´ omez Rubio (U. Castilla-La Mancha) Open Source Geospatial Software 17-18 November 2008 36 / 60

  63. Lattice graphics Lattice graphics Lattice graphics will only come into their own later on, when we want to plot several variables with the same scale together for comparison The workhorse method is spplot , which can be used as an interface to the underlying xyplot or levelplot methods, or others as suitable; overplotting must be done in the single call to spplot — see gallery It is often worthwhile to load the lattice package so as to have direct access to its facilities V. G´ omez Rubio (U. Castilla-La Mancha) Open Source Geospatial Software 17-18 November 2008 36 / 60

  64. Lattice graphics Lattice graphics Lattice graphics will only come into their own later on, when we want to plot several variables with the same scale together for comparison The workhorse method is spplot , which can be used as an interface to the underlying xyplot or levelplot methods, or others as suitable; overplotting must be done in the single call to spplot — see gallery It is often worthwhile to load the lattice package so as to have direct access to its facilities Please remember that lattice graphics are displayed on the current graphics device by default only in interactive sessions — in loops or functions, they must be explicitly print ’ed V. G´ omez Rubio (U. Castilla-La Mancha) Open Source Geospatial Software 17-18 November 2008 36 / 60

  65. Bubble plots zinc ● ● ● ● ● ● ● Bubble plots are a convenient way of ● ● ● ● ● ● ● ● ● ● ● ● representing the attribute values by ● ● ● ● ● ● ● ● ● ● ● ● ● the size of a symbol ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● > library(lattice) ● ● ● ● ● ● ● > bubble(meuse1, "zinc", maxsize = 2, ● ● 100 ● ● ● ● ● ● ● 200 + key.entries = 100 * 2^(0:4)) ● ● ● ● ● ● ● ● 400 ● ● ● ● ● ● ● ● 800 ● As with all lattice graphics objects, ● ● ● ● ● ● ● ● 1600 ● ● ● ● ● ● ● ● ● ● ● the function can return an object ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● from which symbol sizes can be ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● ● recovered ● ● ● ● ● ● ● ● ● ● ● ● ●

  66. Level plots 1.0 The use of lattice plotting methods yields easy legend generation, which 0.8 is another attraction > bpal <- colorRampPalette(pal)(41) 0.6 > spplot(meuseg1, "dist", col.regions = bpal, + cuts = 40) Here we are showing the distances 0.4 from the river of grid points in the study area; we can also pass in 0.2 intervals chosen previously 0.0

  67. Lattice graphics More realism So far we have just used canned data and spatial objects rather than anything richer V. G´ omez Rubio (U. Castilla-La Mancha) Open Source Geospatial Software 17-18 November 2008 39 / 60

  68. Lattice graphics More realism So far we have just used canned data and spatial objects rather than anything richer The vizualisation methods are also quite flexible — both the base graphics and lattice graphics methods can be extensively customised V. G´ omez Rubio (U. Castilla-La Mancha) Open Source Geospatial Software 17-18 November 2008 39 / 60

  69. Lattice graphics More realism So far we have just used canned data and spatial objects rather than anything richer The vizualisation methods are also quite flexible — both the base graphics and lattice graphics methods can be extensively customised It is also worth recalling the range of methods available for sp objects, in particular the overlay and spsample methods with a range of argument signatures V. G´ omez Rubio (U. Castilla-La Mancha) Open Source Geospatial Software 17-18 November 2008 39 / 60

  70. Lattice graphics More realism So far we have just used canned data and spatial objects rather than anything richer The vizualisation methods are also quite flexible — both the base graphics and lattice graphics methods can be extensively customised It is also worth recalling the range of methods available for sp objects, in particular the overlay and spsample methods with a range of argument signatures These can permit further flexibility in display, in addition to their primary uses V. G´ omez Rubio (U. Castilla-La Mancha) Open Source Geospatial Software 17-18 November 2008 39 / 60

  71. Lattice graphics Analysing Spatial Data in R: Accessing spatial data V. G´ omez Rubio (U. Castilla-La Mancha) Open Source Geospatial Software 17-18 November 2008 40 / 60

  72. Introduction Introduction Having described how spatial data may be represented in R, and how to vizualise these objects, we need to move on to accessing user data V. G´ omez Rubio (U. Castilla-La Mancha) Open Source Geospatial Software 17-18 November 2008 41 / 60

  73. Introduction Introduction Having described how spatial data may be represented in R, and how to vizualise these objects, we need to move on to accessing user data There are quite a number of packages handling and analysing spatial data on CRAN, and others off-CRAN, and their data objects can be converted to or from sp object form V. G´ omez Rubio (U. Castilla-La Mancha) Open Source Geospatial Software 17-18 November 2008 41 / 60

  74. Introduction Introduction Having described how spatial data may be represented in R, and how to vizualise these objects, we need to move on to accessing user data There are quite a number of packages handling and analysing spatial data on CRAN, and others off-CRAN, and their data objects can be converted to or from sp object form We need to cover how coordinate reference systems are handled, because they are the foundation for spatial data integration V. G´ omez Rubio (U. Castilla-La Mancha) Open Source Geospatial Software 17-18 November 2008 41 / 60

  75. Introduction Introduction Having described how spatial data may be represented in R, and how to vizualise these objects, we need to move on to accessing user data There are quite a number of packages handling and analysing spatial data on CRAN, and others off-CRAN, and their data objects can be converted to or from sp object form We need to cover how coordinate reference systems are handled, because they are the foundation for spatial data integration Both here, and in relation to reading and writing various file formats, things have advanced a good deal since the R News note V. G´ omez Rubio (U. Castilla-La Mancha) Open Source Geospatial Software 17-18 November 2008 41 / 60

  76. Introduction Creating objects within R As mentioned in unit 1, maptools includes ContourLines2SLDF() to convert contour lines to SpatialLinesDataFrame objects V. G´ omez Rubio (U. Castilla-La Mancha) Open Source Geospatial Software 17-18 November 2008 42 / 60

  77. Introduction Creating objects within R As mentioned in unit 1, maptools includes ContourLines2SLDF() to convert contour lines to SpatialLinesDataFrame objects maptools also allows lines or polygons from maps to be used as sp objects V. G´ omez Rubio (U. Castilla-La Mancha) Open Source Geospatial Software 17-18 November 2008 42 / 60

  78. Introduction Creating objects within R As mentioned in unit 1, maptools includes ContourLines2SLDF() to convert contour lines to SpatialLinesDataFrame objects maptools also allows lines or polygons from maps to be used as sp objects maptools can export sp objects to PBSmapping V. G´ omez Rubio (U. Castilla-La Mancha) Open Source Geospatial Software 17-18 November 2008 42 / 60

  79. Introduction Creating objects within R As mentioned in unit 1, maptools includes ContourLines2SLDF() to convert contour lines to SpatialLinesDataFrame objects maptools also allows lines or polygons from maps to be used as sp objects maptools can export sp objects to PBSmapping maptools uses gpclib to check polygon topology and to dissolve polygons V. G´ omez Rubio (U. Castilla-La Mancha) Open Source Geospatial Software 17-18 November 2008 42 / 60

  80. Introduction Creating objects within R As mentioned in unit 1, maptools includes ContourLines2SLDF() to convert contour lines to SpatialLinesDataFrame objects maptools also allows lines or polygons from maps to be used as sp objects maptools can export sp objects to PBSmapping maptools uses gpclib to check polygon topology and to dissolve polygons maptools converts some sp objects for use in spatstat V. G´ omez Rubio (U. Castilla-La Mancha) Open Source Geospatial Software 17-18 November 2008 42 / 60

  81. Introduction Creating objects within R As mentioned in unit 1, maptools includes ContourLines2SLDF() to convert contour lines to SpatialLinesDataFrame objects maptools also allows lines or polygons from maps to be used as sp objects maptools can export sp objects to PBSmapping maptools uses gpclib to check polygon topology and to dissolve polygons maptools converts some sp objects for use in spatstat maptools can read GSHHS high-resolution shoreline data into SpatialPolygon objects V. G´ omez Rubio (U. Castilla-La Mancha) Open Source Geospatial Software 17-18 November 2008 42 / 60

  82. Using maps data: Illinois counties 42 ° N There are number of valuable geographical databases in map 41 ° N format that can be accessed directly — beware of IDs! 40 ° N > library(maptools) > library(maps) > ill <- map("county", regions = "illinois", 39 ° N + plot = FALSE, fill = TRUE) > IDs <- sub("^illinois,", "", + ill$names) 38 ° N > ill_sp <- map2SpatialPolygons(ill, + IDs, CRS("+proj=longlat")) > plot(ill_sp, axes = TRUE) 37 ° N 93 ° W 92 ° W 91 ° W 90 ° W 89 ° W 88 ° W 87 ° W 86 ° W

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