Ugh, I apologize for flooding the mailing list; but I made a mistake in my follow-up. The timestamps I provided were the timestamps I log when my ksh script runs and detects that dhcpcd is no longer running. The actual times per /var/log/daemon were the following:
Dec 30 00:48:15 router dhcpcd[47708]: ps_inet_dodispatch: Connection reset by peer Jan 4 11:00:37 router dhcpcd[34862]: ps_inet_dodispatch: Connection reset by peer
