More than 100,000 affordable homes need to be built in NSW as sky-high property prices continue to lock lower-income households out of the market, a new analysis shows.

To maintain the social housing stock at its current rate, an additional 2000 houses are needed each year until 2036 to maintain current waiting lists, a report from the University of Sydney says.

A further 2900 dwellings are also needed each year “to ensure lower income households who currently face housing stress in the private rental market are affordably housed”, it said.

The analysis doesn’t account for population growth or the increasing take-up of affordable homes by essential workers such as teachers or emergency service workers.

“We know we can expect another 1.6 million people in Sydney by 2036 but while there’s a push to sort out transport and create new economic hubs, we have no plan for how we’re going to house all these new households,” NSW Federation of Housing Association chief executive Wendy Hayhurst said.

The report will be presented during the two-day 2016 Affordable Housing Conference in Sydney.

NSW will account for more than half the national shortfall in housing over the next decade, Ms Hayhurst said.

“NSW has the lowest home ownership rates in the country and the biggest shortage of social and affordable housing, but some of the best opportunities for jobs,” she said.

She’s called on state and federal governments to stop placing too much reliance on the real estate market to solve the problem.

Homelessness NSW chief executive Katherine McKernan said the state’s affordability crisis is placing unprecedented demand on crisis homelessness services, which are facing increasing backlogs.

“According to the 2011 Census on any given night one in 200 people are homeless across Australia,” she said.

“There’s no questions the 2016 Census, which begins on August 9, will find an increase in the number of homeless people – rough sleepers, young people and women and children escaping domestic and family violence.”