A method for forming a fiber is provided. The method comprises extruding a matrix polymer and a nanoinclusion additive to form a thermoplastic composition in which the nanoinclusion additive is dispersed within a continuous phase of the matrix polymer. The extruded thermoplastic composition is thereafter passed through a spinneret to form a fiber having a porous network containing a plurality of nanopores, wherein the average percent volume occupied by the nanopores within a given unit volume of the fiber is from about 3% to about 15% per cm3.