Fish Domestication: An Overview
This is a historical view of the domestication of fish. Tilapia and carp are the first know domesticated fish dating back to 1500 B.C. Section 2.1 deals directly with the domestication of the carp.
"During its long history of domestication, the common carp, whose natural range spreads from the Danube River (in Europe) to the Amur River (in China), was introduced in more than 120 countries; its current distribution is now almost global [5, 28, 29]. In Europe, the common carp would be native from central regions (particularly the Danube delta), where its farming was started by the Romans about 2000 years ago [5]"
Link: https://www.intechopen.com/chapters/63250