The answer in this question is Southern and central China. In the year nineteenth century in China and East Asia it was mainly in Southern and central China. On the graphic that is included in the question the British sphere of influence in the 19th century in East Asia and China was mainly in southern and central China.
"Direct form of Democracy" is a type of democracy where "All citizens can vote" over the matters that concern the state. This guarantees that all actions taken by the governing body will, in fact, be taken according to the will of the majority of the population.
"Representative form of Democracy" is a type of democracy where "elected leaders form laws" that will dictate the way the state is managed. Through this system, the governing body can enact more laws and be more effective in the general administration of the state. However, there is no guarantee that the decisions taken represent the will of the majority of the population.