The origins of a patriarical society

I found that as the First Civilizations began to take shape and inequality and hierarchy soon came to be regarded as normal fascinating to me. The books explanations as to why early civilizations shifted from its egalitarian values to a patriarchal society made sense to me. With the advancement in agriculture, the use of animal-drawn plows was heavier work better suited for men. As men took over more of the farming work, the status of women declined. That combined with the fact that women were often pregnant which forced them into menial work. As a result, they were afforded fewer resources and therefore less status. Or the other explanation about men becoming more involved in politics which afforded them positions of authority that allowed them to shape the values and practices of their societies in ways that benefited themselves at the expense of women. Two very logical explanations as to why this patriarchal shift may have happened in our early civilizations.