A filter material adapted for use as a filter element of a smoking article is provided, the filter material including at least one segment of fibrous tow having a plurality of degradable particles dispersed therein, the degradable particles comprising a starch material. Exemplary starch materials include naturally-occurring starch, hydroxyalkylated starch, starch esters, ionically modified starch, oxidized starch, hydrolyzed starch, plasticized starch, gelatinized starch, grafted starch, crosslinked starch, transglycosylated starch, starch ethers, and mixtures thereof, as well as blends of starch with other polymers. Filter elements and smoking articles, such as cigarettes, that contain the filter material are also provided. A method of preparing polymer fibers for use in filter elements is also provided, the method including adding the starch material to a fiber precursor solution prior to fiber extrusion or dry-blending the starch material with the polymer material to be formed into fibers.