One of the reasons is hormonal changes. A drop in blood calcium levels during menstruation can lead to drop of your milk supply.
There are some ways to help increase your milk supply, such taking calcium/magnesium supplement during menstruation, eating oatmeal (or oatmeal lactation cookies as alternative) and drink fenugreek. The last two suggestions are quite popular among breastfeeding moms.
You can read more here:http://exclusivepumping.com/2013/12/28/what-you-can-do-when-your-period-tanks-your-milk-supply/
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