nmap -sP does not populate arp table

[Michael Convey <smconvey () gmail com>]

I used the command "nmap -sP" for host discovery, but also with the hope
that it would populate my host's ARP table. Although, I'm getting the
expected output from the nmap command, my ARP table is not being populated.
When I ping the hosts individually, the ARP table is populated.

The following seems to imply that nmap -sn (formerly nmap -sP) sends ICMP
echo requests just like ping:

http://nmap.org/book/man-host-discovery.html

What am I doing wrong?
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