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. (February 2019)
In contrast to republics operating under either the presidential system or the semi-presidential system, the head of state usually does not have executive powers as an executive president would (some may have 'reserve powers' or a bit more influence beyond that), because many of those powers have been granted to a head of government (usually called a prime minister).
However, in a parliamentary republic with a head of state whose tenure is dependent on parliament, the head of government and head of state can form one office (as in Botswana, the Marshall Islands, Nauru, and South Africa), but the president is still selected in much the same way as the prime minister is in most Westminster systems. This usually means that they are the leader of the largest party or coalition of parties in parliament.
In some cases, the president can legally have executive powers granted to them to undertake the day-to-day running of government (as in Austria and Iceland) but by convention they either do not use these powers or they use them only to give effect to the advice of the parliament or head of government. Some parliamentary republics could therefore be seen as following the semi-presidential system but operating under a parliamentary system.