plots a graph (network), based on a transition matrix
visualises a transition matrix as a number of (labeled) boxes connected by (labeled) arrows.
plotmat(A, pos = NULL, curve = NULL, name = NULL, absent = 0, relsize = 1, lwd = 2, lcol = "black", box.size = 0.1, box.type = "circle", box.prop = 1, box.col = "white", box.lcol = lcol, box.lwd = lwd, shadow.size = 0.01, shadow.col = "grey", dr = 0.01, dtext = 0.3, self.lwd = 1, self.cex = 1, self.shiftx = box.size, self.shifty = NULL, self.arrpos = NULL, arr.lwd = lwd, arr.lcol = lcol, arr.tcol = lcol, arr.col = "black", arr.type = "curved", arr.pos = 0.5, arr.length = 0.4, arr.width = arr.length/2, endhead = FALSE, mx = 0.0, my = 0.0, box.cex = 1, txt.col = "black", txt.xadj = 0.5, txt.yadj = 0.5, txt.font = 1, prefix = "", cex = 1, cex.txt = cex, add = FALSE, main = "", cex.main = cex, segment.from = 0, segment.to = 1, latex = FALSE, ...)
A: square coefficient matrix, specifying the links (rows=to, cols=from).
pos: vector, specifying the number of elements in each graph row, or a 2-column matrix with element position, or NULL. If a 2-column matrix, the values should be withing 0 and 1.
curve: one value, or a matrix, same dimensions as A, specifying the arrow curvature; 0 for straight; NA for default curvature.
name: string vector, specifying the names of elements, dimension = number of rows (columns) of A.
absent: all elements in A different from this value are connected.
relsize: scaling factor for size of the graph.
lwd: default line width of arrow and box.
lcol: default color of arrow line and box line.
box.size: size of label box, one value or a vector with dimension = number of rows of A.
box.type: shape of label box (rect, ellipse, diamond, round, hexa, multi), one value or a vector with dimension=number of rows of A.
box.prop: length/width ratio of label box, one value or a vector with dimension=number of rows of A.
box.col: fill color of label box, one value or a vector with dimension=number of rows of A.
box.lcol: line color of label box, one value or a vector with dimension=number of rows of A.
box.lwd: line width of the box, one value or a vector with dimension = number of rows of A.
shadow.size: relative size of shadow of label box, one value or a vector with dimension=number of rows of A.
shadow.col: color of shadow of label box, one value or a vector with dimension=number of rows of A.
dr: size of segments, in radians, to draw ellipse (decrease for smoother ellipses).
dtext: controls the position of arrow text relative to arrowhead.
self.lwd: line width of self-arrow, (arrow from i to i), one value or a vector with dimension=number of rows of A.
self.cex: relative size of self-arrow, relative to box, one value or a vector with dimension=number of rows of A.
self.shiftx: relative shift of self-arrow, in x-direction, one value or a vector with dimension=number of rows of A.
self.shifty: relative shift of self-arrow, in y-direction, one value or a vector with dimension=number of rows of A.
self.arrpos: position of the self-arrow, angle in radians relative to x-direction, one value or a vector with dimension=number of rows of A.
arr.lwd: line width of arrow, connecting two different points, one value, or a matrix with same dimensions as A.
arr.lcol: color of arrow line, one value, or a matrix with same dimensions as A.
arr.tcol: color of arrow text, one value, or a matrix with same dimensions as A.
arr.col: color of arrowhead, one value, or a matrix with same dimensions as A.
arr.type: type of arrowhead, one of ("curved", "triangle", "circle", "ellipse", "T", "simple", "none"), one value, or a matrix with same dimensions as A.
arr.pos: relative position of arrowhead on arrow segment/curve, one value, or a matrix with same dimensions as A.
arr.length: arrow length, one value, or a matrix with same dimensions as A.
arr.width: arrow width, one value, or a matrix with same dimensions as A.
endhead: if TRUE: the arrow line stops at the arrowhead; default = FALSE and arrow line continues beyond the arrow head.
mx: horizontal shift of the boxes.
my: vertical shift of the boxes.
box.cex: relative size of text in boxes, one value or a vector with dimension=number of rows of A.
txt.col: color of text in boxes, one value or a vector with dimension=number of rows of A.
txt.xadj, txt.yadj: the x and y adjustment of the labels in the boxes, one value or a vector with dimension=number of rows of A
values usually within [0,1], although on most devices values outside that interval will also work.
txt.font: the font to be used for the text in boxes, one value or a vector with dimension=number of rows of A.
prefix: to be added in front of non-zero arrow labels.
cex: relative size of text.
cex.txt: relative size of arrow text, one value, or a matrix with same dimensions as A.
add: start a new plot (FALSE), or add to current plot (TRUE).
main: main title. Only effective if add = FALSE.
cex.main: relative size of main title.
segment.from: if not 0 then the arrow line will not start at the position as given in A, but with an offset. one value, or a matrix with same dimensions as A
segment.to: if not 1 then the arrow line will not end at the position as given in A, but with an offset. one value, or a matrix with same dimensions as A
latex: if FALSE then expressions will be interpreted before print, if TRUE they will be printed literally to the plot. Set to TRUE if LaTeX code is to be printed.
...: other arguments passed to function shadowbox.
a list containing: - arr: a data.frame with arrow information:
* nonzero: the elements between which an arrow is drawn.
* Angle: the angle of the arrow.
* Value: the value written next to the arrow head.
* rad: the radius of the arrow (if 0: straight line).
* ArrowX: the x-position of arrowhead.
* ArrowY: the y-position of arrowhead.
* TextX: the x-position of arrowtext.
* TextY: the y-position of arrowtext.
.
comp: a matrix with the element position (centre of the boxes).
radii: the radiusses in x- and y-direction of the boxes.
rect: the "xleft","ybot","xright",and "ytop" of the boxes - redundant.
Karline Soetaert karline.soetaert@nioz.nl
M <- matrix(nrow = 4, ncol = 4, byrow = TRUE, data = 0) pp <- plotmat(M, pos = c(1, 2, 1), name = c("A", "B", "C", "D"), lwd = 1, box.lwd = 2, cex.txt = 0.8, box.size = 0.1, box.type = "square", box.prop = 0.5, main = "plotmat") pp # when explicitly given, pos should should be inbetween 0, 1 pos <- cbind (c(0.2, 0.4, 0.6, 0.8), c(0.8, 0.6, 0.4, 0.2)) pp <- plotmat(M, pos = pos, name = c("A", "B", "C", "D"), lwd = 1, box.lwd = 2, cex.txt = 0.8, box.size = 0.1, box.type = "square", box.prop = 0.5, main = "plotmat") # includes arrows between boxes pm <- par(mfrow = c(2, 2)) M <- matrix(nrow = 4, ncol = 4, byrow = TRUE, data = 0) M[2, 1] <- M[3, 1] <- M[4, 2] <- M[4, 3] <- "f1" col <- M col[] <- "red" col[2, 1] <- col[3, 1] <- "blue" pp <- plotmat(M, pos = c(1, 2, 1), curve = 0, name = 1:4, lwd = 1, box.lwd = 2, box.cex = 1:4, cex.txt = 0.8, arr.lcol = col, arr.tcol = col, arr.col = col, box.type = "circle", box.prop = 1.0, main = "plotmat") pp <- plotmat(M, pos = c(1, 2, 1), curve = 0, name = 1:4, lwd = 1, box.lwd = 2, box.cex = 1:4, cex.txt = 0.8, arr.lcol = col, arr.tcol = col, arr.col = col, box.type = "circle", box.prop = 1.0, arr.len = 0.3, segment.from = 0.35, segment.to = 0.65) M[1, 2] <- M[1, 3] <- M[2, 4] <- M[3, 4] <- "f2" pp <- plotmat(M, pos = c(1, 2, 1), curve = 0.1, name = 1:4, lwd = 1, box.lwd = 2, box.cex = 1:4, cex.txt = 0.8, arr.lcol = col, arr.tcol = col, arr.col = col, box.type = "none", box.prop = 1.0, main = "plotmat", arr.len = 0.2, segment.from = 0.3, segment.to = 0.7) pp <- plotmat(M, pos = c(1, 2, 1), curve = 0.1, name = 1:4, box.lwd = 2, box.cex = 1:4, cex.txt = 0.8, arr.lcol = col, arr.tcol = "green", arr.col = col, arr.pos = 0.7, arr.type = "simple", lwd = 2, box.type = "none", box.prop = 1.0, main = "plotmat", arr.len = 0.2, segment.from = 0.3, segment.to = 0.7) par(mfrow=pm) # self arrows diag(M) <- "self" pp <- plotmat(M, pos = c(2, 2), curve = 0, name = LETTERS[1:4], lwd = 1, box.lwd = 2, cex.txt = 0.8, self.cex = 0.5, self.shiftx = c(-0.1, 0.1, -0.1, 0.1), box.type = "diamond", box.prop = 0.5, main = "plotmat") # different arrows M <- matrix(nrow = 4, ncol = 4, data = 0) M[2, 1]<- 1 ; M[4, 2] <- 2 ; M[3, 4] <- 3; M[1, 3] <- 4 pp <- plotmat(M, pos = c(1, 2, 1), curve = 0.2, name = letters[1:4], lwd = 1, box.lwd = 2, cex.txt = 0.8, arr.type = "triangle", box.size = 0.1, box.type = "hexa", box.prop = 0.5, main = "plotmat") arrlwd <- M*2 arr.length <- M*0.4 cextxt <- M*0.8 plotmat(M, pos = c(1, 2, 1), curve = 0.2, name = letters[1:4], lwd = 1, box.lwd = 2, arr.type = "triangle", box.size = 0.1, box.type = "hexa", box.prop = 0.5, main = "plotmat", arr.lwd = arrlwd, arr.length = arr.length, cex.txt = cextxt, txt.font = 1:4, txt.xadj = seq(-3, 3, length.out = 4), txt.yadj = 1) M <- matrix(nrow = 4, ncol = 4, byrow = TRUE, data = 0) M <- as.data.frame(M) M[[2,1]]<- "k[si]" M[[3,1]]<- "k[N]" M[[4,2]]<- "sqrt(frac(2,3))" names <- c(expression(lambda[12]), "?", expression(lambda[13]),expression(lambda[23])) plotmat(M, pos = c(1, 2, 1), name = names, lwd = 1, box.lwd = 2, curve = 0, cex.txt = 0.8, box.size = 0.1, box.type = "square", box.prop = 0.5, main = "plotmat") plotmat(M, name = letters[1:4], curve = 0, box.cex = 1:4, box.lwd = 4:1, box.size = 0.075, arr.pos = 0.7, box.col = c("lightblue", "green", "yellow", "orange")) # No arrows, just lines with different colors M <- matrix(nrow = 4, ncol = 4, data = 0) M[2, 1]<- 1 ; M[4, 2] <- 2 ; M[3, 4] <- 3; M[1, 3] <- 4 pp <- plotmat(M, pos = c(1, 2, 1), curve = 0.2, name = letters[1:4], lwd = 1, box.lwd = 2, cex.txt = 0.8, arr.type = "none", arr.lcol = M, box.size = 0.1, box.type = "hexa", box.prop = 0.5, main = "plotmat") pp <- plotmat(M, pos = c(1, 2, 1), curve = 0.4, name = "", arr.type = "none", arr.lcol = M, box.type = "none", cex.txt = 0, main = "plotmat")
The square transition matrix A determines the number of elements of A (rows of A) and which elements are connected (all values in A different from absent).
A also provides the values of arrowlabels.
The position of the elements are specified with pos, which is either NULL, or a vector specifying the number of elements on a row, or a 2-columned matrix specifying the (x,y) position of each element.
The ordering of elements is according to the row number of A
pos is NULL, the elements will be arranged on a circlepos is a vector, it specifies the number of elements in each row. For instance, with pos = c(3,2,1) the elements will be arranged in 3 rows (length of vector); on top row, 3 elements; on second row 2, and on third row 1 element will be positioned. All elements within a row are equally distributed horizontally, all rows are equally distributed vertically.pos is a matrix, it specifies the x (1st column) and y (2nd column) position of each element.The offset from x-axis and from y-axis can be changed with mx and my.
The name of each element is given by vector name; this name is written in its respective box.
The relative size of this text can be changed by box.cex.
By default, a shadow is drawn, in the right-lower corner of the box.
The shadow color and relative size is specified with shadow.col and shadow.size respectively.
both can be one value (equal shadows) or a vector, specifying one value for each box shadow.
shadow.size = 0 toggles off the drawing of the shadow.
The type of the box is set with "box.type" which can take on the values:
The length of the box is set with box.size, the proportionality
(length/width) ratio with box.prop.
The fill-color of the box is specified with box.col;
the line width of the box with box.lwd and the line color with
box.lcol;
All box properties can be either one value (equal boxes) or a vector, specifying one value for each box.
For all values A[i,j] of A which are not equal to absent,
one arrow is drawn from column-element j to the row-element i of A.
The curvature of this arrow is specified with matrix element curve[i,j],
where 'curve' is either NULL, one value, or has the same dimension as A.
A straight arrow has curvature 0, NA (the default) chooses a default curvature,
Positive or negative values of curve draws curved arrows.
If the arrow is curved, then dr is the increment used to draw the ellipse; set to a lower value for smoother lines.
The type of the arrowhead is set with arr.type which can take the values:
The line color and width of the arrow line is set with arr.lcol and
arr.lwd
The size of the arrow head is specified with arr.length and
arr.width,
the position of the arrow head is specified with arr.pos (value
between [0,1]).
see Arrowhead for details on arrow head
shadowbox,
Arrowhead from package shape
try: demo(plotmat)
Useful links