... says the guy who at the beginning of this debate called me an ignorant in history.
Look, I made no claims about you. I dismissively sneered at one idea you expressed. There is a difference.
Now back to the actual argument: A city affected by bad management and a bad economy adds a ton of confounding factors to any assessment of gender relations. You need to look at non-patriarchal societies that have kept all other variables unchanged, and claiming that abandoning patriarchy is the cause of bad management and bad economy simply won't do.
Speculation is important for forecasting; it's also fun. Speculation is usually conveyed in two forms: in the form of an argument, or encapsulated in fiction; each has their advantages, but both tend to be time-consuming. Presenting speculation in the form of an argument involves researching relevant background and formulating logical arguments. Presenting speculation in the form of fiction requires world-building and storytelling skills, but it can quickly give the reader an impression of the "big picture" implications of the speculation; this can be more effective at establishing the "emotional plausibility" of the speculation.
I suggest a storytelling medium which can combine attributes of both arguments and fiction, but requires less work than either. That is the "wikipedia article from the future." Fiction written by inexperienced sci-fi writers tends to generate into a speculative encyclopedia anyways--why not just admit that you want to write an encyclopedia in the first place? Post your "Wikipedia articles from the future" below.