OK, the underlying problem is that the projection code (i.e. the mapproj package plus some parts of the maps package) does not clip its output to the specified limits.

Let me explain:
1) the maps databases are made up of line segments which are combined to form 
polygons
2) when you call map() with limits specified, all line segements containing *at least one point* within the limits is returned 3) when there is no projection, the plot() function quite naturally clips the output to the specified rectangular limits 4) when there is a projection, the limits are no longer rectangular, and so this clipping no longer occurs, and all points are projected

Now with your code:
1) when you use the (default) "world" database, the line segments returned include a large part of the US-Canada border, plus all of Lake Winnipeg 2) if you use the "usa" database, you only get the US-Canada border but much more than that part specified by your limits 3) if you use the "state" database, you get much closer to what you "want" (as defined by the limits), but you still get some parts of line segments which are outside the limits.

In order to get what you seem to want (although if you are looking at "states", why do you go such a long way north of the 49th parallel?), you can do something like this:

   library(maps)
   require("mapproj")
   longlatLimit <- c(-107, -93, 40, 52)
   par(plt=c(0, 1, 0, 1), cex=1, cex.main=1)  # Set plotting parameters
   mypoly <- list(x=c(-107, -93, -93, -107, -107), y=c(40, 40, 52, 52, 40))
   mymap <- map("state", plot=F, xlim=longlatLimit[1:2], ylim=longlatLimit[3:4])
   whichxy <- in.polygon(mypoly, list(x=mymap$x, y=mymap$y))
   whichxy[is.na(mymap$x)] <- NA
   mymap$x <- mymap$x[whichxy]
   mymap$y <- mymap$y[whichxy]
   map(mymap, projection="azequalarea", type="n")
   bound<-c(floor(longlatLimit[1]), ceiling(longlatLimit[2]),
     floor(longlatLimit[3]), ceiling(longlatLimit[4]))
   map.grid(lim=bound, col="light grey")
   map(mymap, projection="azequalarea", add=T)

HTH
Ray Brownrigg

Dr. Alireza Zolfaghari wrote:
Ray,
You are right, it is not having any data for states, but in fact the grids are related to states. If you run the code you sent, you could see there is a blank area on top and left. All I want is to locate the grid map in the middle of window. Once I do this I can add the boundary data. Thanks,
Alireza

On Fri, Mar 13, 2009 at 9:00 AM, Ray Brownrigg <ray.brownr...@ecs.vuw.ac.nz <mailto:ray.brownr...@ecs.vuw.ac.nz>> wrote:

    I think what you are missing is that the default map database is
    "world".

    If you use:

       library(maps)
       require("mapproj")
       longlatLimit<-c(-107,-93,40,52)
       par(plt=c(0,1,0,1),cex=1,cex.main=1)  #Set plotting parameters
       map(regions="USA", projection="azequalarea",

    type="n",xlim=longlatLimit[1:2],ylim=longlatLimit[3:4])
       bound<-c(floor(longlatLimit[1]), ceiling(longlatLimit[2]),
    floor(longlatLimit[3]), ceiling(longlatLimit[4]))
       map.grid(lim=bound,col="light grey")

    I think you will get what you want (but what you want is not exactly
    clear).

    [I am not sure why this happens, but it seems to be an artifact of
    the projection code.]

    [All your examples have been very confusing, since you talk about
    plotting the "states", but in fact your example code plots only a grid.]

    HTH
    Ray Brownrigg


    Dr. Alireza Zolfaghari wrote:

        Hi list,
        I have a real problem with plotting US state map. When I try to
        plot the
        northern state, there will be some blank space in the top of
        graph (see case
        1 example), and when I plot southern states, there will be a
        blank space in
        the bottom of plot (see case 2). I spent almost 2 days to figure
        out a
        solution, but could not. Would you help me if you know what the
        problem is?
        Regards,
        Alireza

        #################################################
        #case 1
           library(maps)
           require("mapproj")
           longlatLimit<-c(-107,-93,40,52)
           par(plt=c(0,1,0,1),cex=1,cex.main=1)  #Set plotting parameters
           #map(projection="azequalarea",
        type="n",xlim=longlatLimit[1:2],ylim=longlatLimit[3:4])
           map(projection="azequalarea",
        type="n",xlim=longlatLimit[1:2],ylim=longlatLimit[3:4])
           bound<-c(floor(longlatLimit[1]), ceiling(longlatLimit[2]),
        floor(longlatLimit[3]), ceiling(longlatLimit[4]))
           map.grid(lim=bound,col="light grey")
        #################################################
        #case 2
           library(maps)
           require("mapproj")
           longlatLimit<-c(-107,-93,25,37)
           par(plt=c(0,1,0,1),cex=1,cex.main=1)  #Set plotting parameters
           #map(projection="azequalarea",
        type="n",xlim=longlatLimit[1:2],ylim=longlatLimit[3:4])
           map(projection="azequalarea",
        type="n",xlim=longlatLimit[1:2],ylim=longlatLimit[3:4])
           bound<-c(floor(longlatLimit[1]), ceiling(longlatLimit[2]),
        floor(longlatLimit[3]), ceiling(longlatLimit[4]))
           map.grid(lim=bound,col="light grey")

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