This is always a tricky thing, sustainability of a greenhouse, and interesting topic. Here a few of my thoughts:
So, if you just want to manipulate the microclimate, check out the fruit walls on lowtechmagazine:
https://solar.lowtechmagazine.com/2015/12/fruit-walls-urban-farming-in-the-1600s/
Otherwise, you have different options to build a greenhouse:
-Plastic films (lasting 1 to 8 seasons, depending on quality)
-Polycarbonate, plexiglass, and other thick and stable plastics.
-Glass
Plastic films have the least embedded energy/carbon/petrol. Important to use UV stable film, as otherwise become brittle.
Thick and durable plastic may last longer (if of good quality!) but have much more embedded energy/carbon/petrol. They may become brittle and break into small particles
Glass require energy/carbon/petrol to melt, however does not pollute itself, as it is inert. Often forgotten, is that glass can be found second-hand (often for free), and if you are flexible with building pattern, you can have a low carbon footprint. Hail is one of the dangers with glass, except when you have bullet-proof windows.
One way to look at the sustainability is: how much plastic film do I use for a tunnel, and how much plastic would I buy if I buy the products instead of growing myself?
Edited to add link to picture from the lowtechmagazine, it is highly a recommended lecture, as it goes into the history of greenhouses and several alternatives.