Embodied Carbon Analysis of Concrete Natural Pool Vs. Poly Pond Liner Natural Pool

Hello, I am writing to see if anyone has themselves done, or know of an analysis that has been done on the embodied carbon analysis of natural pool liners - specifically comparing pouring concrete pool compared to investing in highly durable HDPE pond liner (specifically HDPE polymer plastics with relatively low embodied energy compared to other plastic fabrications. https://www.btlliners.com/aquaarmor3).

Thanks for any insights!