Are the relative variation rates (RVRs) approximate in different cities with the same increase of shape coefficient?

The influence of the building's shape coefficient on annual heating and cooling energy consumption is significant, therefore, when laying down design standard for building efficiency, each country makes specific limitations to building shape coefficient. This paper takes two types of buildings with great difference of shape coefficient as the study objects and studies the influence rule of the same increase of shape coefficient on the annual cooling and heating energy consumption and its relative variation rates (RVRs) of the two buildings with the same envelope under 14 cities' climatic conditions in China, America and Europe respectively by DOE-2, DeST-h and CTM. It can be found that though the absolute increments of annual cooling and heating needs are obviously different in various cities with the same increase of shape coefficient, the annual relative variation rates (RVRs) of cooling and heating need are approximate in different cities.