The research also indicated that the effects were more significant among white people and males.
"While there have been many studies linking alcohol and drug use by parents to substance use among youths, there is limited research on how the availability of alcohol and drugs in the home may influence patterns of use among offspring in the future," said Cliff Broman from Michigan State University in the US.
"These findings provide evidence that the availability of illegal drugs and alcohol in the home while growing up is a critical factor in the later use of substances," Broman said.
Generally, participants who had illegal drugs and alcohol easily available to them during adolescence started using drugs and alcohol at an earlier age, and used drugs and alcohol more at each of the latter two waves (when the average ages were 22 and 29), researchers said.
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Male participants, who had alcohol and illegal drugs more available to them in the home during adolescence than female participants, subsequently drank and did drugs more in adulthood than did females, they said.
This was despite the fact that Hispanic and Asian participants generally had drugs and alcohol more easily available to them in the home during adolescence.
The findings were published in the Journal of Child & Adolescent Substance Abuse.