You would hope that a government is representative of the population. That is the main cause of having representation. If you have a government that is not very balanced.... In particular, gender balance is the obvious one to me, because we can easily measure whether we are fifty-fifty in terms of where we need to be with our representation.
I do believe that there might be mechanisms possible. My assumption is that you are asking, quite practically, how does that look? First of all, you would have to encourage more women to be available to stand. I know there are some organizations, like Equal Voice, etc., that are trying to persuade more women to stand for election.
A bit more grassroots movement might be required first, but I do believe that if they see there is actually a need to fill those positions.... My experience has been that women are pretty good at standing up when there is a need, but maybe that has to be encouraged more than it currently is. Right now, most women see the challenges of becoming elected, the maybe-not-so-lovely path up to a position. More support would probably be required to make that a reality, but even having the statement out there that we are looking for a gender-balanced election as we go forward would hopefully get women more interested.