Abstract
This paper proposes a time-space map using linear transformation and applies it to evaluate the impacts of the highway projects in Ibaraki Prefecture, Japan. Although our new timespace map entails a greater estimated error than the multi-dimensional scaling methods, which are the most standard time-space map, it shows the velocity along any direction, the contours of access time and the area of the accessible within a given time. These advantages are based on the elements of linear algebra such as eigenvalue, eigenvectors, inverse matrix, determinants. Then, we delineate three types of time-space maps in Ibaraki Prefecture, according to three highway projects: 1) no highway; 2) Joban-highway; and 3) Joban-highway and Kitakanto-highway. We evaluate the global effect of such highway projects based on these maps.
