Based on the probabilistic space model which is defining the distribution of joint characteristic elements [1) orientation, 2) persistence, 3) density, 4) aperture, 5) filling, 6) roughness and 7) conductivity], the authors suggest the stochastic point-estimation and interval-estimation method is to generate the joint traces or joint disks in two dimensional area or three dimensional space, respectively, considering probabilistic space of each joint characteristic element.