The first post-war, comprehensive Gdynia Downtown Plan was at the same time one of the first spatial development plans in Poland defining the directions of transformation of multifunctional downtown structures in the new system and legal realities. It was the Plan of the Polish Breakthrough related to the realities of the downtown area of Gdynia. The study area included the Gdynia Valley limited by the hills of Kamienna Góra, Redłowo and Chylońskie Forests with the development of a complete pre-war city developing in accordance with the fi rst plan of Adam Kuncewicz from 1925 in the zone of 3 km, counted from the center of the inner port. The aim of the plan was to look for centralizing potential in the fi eld of research. This concept was treated as a power degree related to the then existing state, as well as the possibility of further development or transformation.

The present paper consists of two parts. The first part presents theoretical foundations of Msplit, estimation with reference to the previous author's paper (Wiśniewski, 2009). This time, some probabilistic assumptions are described in detail. A new quantity called f-information is also introduced to formulate the split potential in more general way. The main aim of this part of the paper is to generalize the target function of Msplit estimation that is the basis for a new formulation of the optimization problem. Such problem itself as well as its solution are presented in this part of the paper. The second part of the paper presents some special case of Mspli, estimation called squared Mspli, estimation (also with reference to the mentioned above paper of the author). That part presents a new solution and development in the theory of this version of M,plit estimation and some numerical examples that show properties of the method and its application scope.