Travel Photography Tuva 2016. The Tyva Republic lies in the geographical center of Asia, in southern Siberia. The republic borders the Altai Republic, the Republic of Khakassia, Krasnoyarsk Krai, Irkutsk Oblast, and the Republic of Buryatia in Russia and Mongolia to the south. Its capital is the city of Kyzyl. It has a population of 307,930 (2010 census)