This equation leads from my previous question. I want to plot dots that represent total population and so far I used scale_size to make dots’ size relative to its total population.
But, I want to make these dots transparent because the dots are covering the map. I am, however, open to other options as long as the message I am trying to send is clear.

# load required packages
library(ggmap)
library(ggplot2)
# query map of Birmingham, AL
al1 <- get_map(location = c(lon = -86.304474, lat = 32.362563), zoom = 11,
source = "osm", maptype = 'terrain')
al1MAP <- ggmap(al1)+ geom_point(data=quote_bmh,
aes(x=IntPtLon, y=IntPtLat, size=TotPop, colour="gold2"),
colour="gold2") + scale_size(range=c(0,15))
To use a uniform transparency, just add
alpha = 0.3togeom_point.alphacan be between 0 and 1, depending on the amount of transparency you want. If you want to make you transparency depend on a variable, just addalpha = var_nameto themappingargument (theaesbit), wherevar_nameis the column name of the variable you want to use for transparency.