A wind lift mitigation net for mitigating or preventing wind lift of at least one membrane covering an outdoor aggregation of matter is provided. The wind lift mitigation net comprises a plurality of monofilaments. At least some of the monofilaments may each have a cross-sectional shape that comprises at least one vertex. The cross-sectional shape may, for example, be a non-circular shape such as a tear drop, triangular, square or stellate shape. At least some of the monofilaments may each have at least one substantially planar surface.