The colonial administration is the ability of a faction to manage the bases it controls. Each faction begins with a basic level that can increase with the development of technologies like Technology:Colonial_administration_I.
All base cores have a cost in points of colonial administration. If the sum of the cost of all bases exceeds the level of administration of a faction, the cost of maintaining the bases will cost extra. The extra cost is proportional to the number of points exceeded, if for example we are using 25 points and we only have 20, an extra maintenance cost of all bases of 25% will apply.