Since there has been the scientific possibility to track down DNA in criminal cases, there have been mass profiling "events" when hundreds or thousands of people were called to give their DNA to find the criminal.
Yes, the police had taken also DNA of the suspect's family, but they were already suspicious about him, because he was obviously on the list of men who were obligated to give their DNA. And the Police had taken HIS DNA, so there was no "tree building" needed to find out he was the murderer.