A process for producing a plasticizer composition, said process comprising: (a) first providing a distilled fatty acid alkyl ester; and then (b) subjecting said distilled fatty acid alkyl ester to an epoxidation process to thereby produce an epoxidized fatty acid alkyl ester, wherein the epoxidized fatty acid alkyl ester is prepared by first combining and mixing together the fatty acid alkyl ester and formic acid at 30°C, then adding hydrogen peroxide to the fatty acid alkyl ester and formic acid and completing the hydrogen peroxide addition within an hour, and wherein the fatty acid alkyl ester, hydrogen peroxide, and formic acid are combined in 1:2:0.5 proportions, respectively; wherein said epoxidized fatty acid alkyl ester has a color value of less than 100 APHA (as measured according to ASTM standards D1209 and E313), wherein said epoxidized fatty acid alkyl ester has a triepoxide content of from at least 6.5 weight percent to less than 8 weight percent, based on the entire weight of said epoxidized fatty acid alkyl ester (as measured according to the method in the description), wherein said epoxidized fatty acid alkyl ester has an oxirane oxygen content of at least 5 grams oxirane per 100 grams of epoxidized fatty acid alkyl ester (as measured according to American Oil Chemist Society ("AOCS") Official Method Cd 9-57), wherein said epoxidized fatty acid alkyl ester has a fatty acid dimer content of at least 0.8 weight percent based on the entire weight of said epoxidized fatty acid alkyl ester (as measured according to the method in the description), wherein said epoxidized fatty acid alkyl ester has an iodine value of at least 1 gram iodine per 100 grams of epoxidized fatty acid alkyl ester to less than 5 grams iodine per 100 grams of epoxidized fatty acid alkyl ester (as measured according to American Oil Chemist Society ("AOCS") Official Method Cd 1-25), wherein said distilled fatty acid alkyl ester is distilled at a temperature of at least 210 °C. (a) first providing a distilled fatty acid alkyl ester; and then (b) subjecting said distilled fatty acid alkyl ester to an epoxidation process to thereby produce an epoxidized fatty acid alkyl ester, wherein the epoxidized fatty acid alkyl ester is prepared by first combining and mixing together the fatty acid alkyl ester and formic acid at 30°C, then adding hydrogen peroxide to the fatty acid alkyl ester and formic acid and completing the hydrogen peroxide addition within an hour, and wherein the fatty acid alkyl ester, hydrogen peroxide, and formic acid are combined in 1:2:0.5 proportions, respectively; wherein said epoxidized fatty acid alkyl ester has a color value of less than 100 APHA (as measured according to ASTM standards D1209 and E313), wherein said epoxidized fatty acid alkyl ester has a triepoxide content of from at least 6.5 weight percent to less than 8 weight percent, based on the entire weight of said epoxidized fatty acid alkyl ester (as measured according to the method in the description), wherein said epoxidized fatty acid alkyl ester has an oxirane oxygen content of at least 5 grams oxirane per 100 grams of epoxidized fatty acid alkyl ester (as measured according to American Oil Chemist Society ("AOCS") Official Method Cd 9-57), wherein said epoxidized fatty acid alkyl ester has a fatty acid dimer content of at least 0.8 weight percent based on the entire weight of said epoxidized fatty acid alkyl ester (as measured according to the method in the description),