What are the light tan lines that stink bugs leave on my porch screens behind them?

I've had these light tan lines on the screens of my screened-in porch for months. They seem to disappear on their own, but it's frustrating and unsightly while they're there. The other day I saw that stink bugs are leaving these lines behind them on my screens. The lines range from half an inch to a few inches. They're light tan and seem to be rather solid. My guess was eggs, but everything I've found online indicates that stink bugs lay their eggs on leaves. Since their population seems to be growing in my yard, I was wondering if I needed to be more aggressive in removing the tan lines from my screens.