Song, Y. and Miller, H. J., 2014. Simulating visit probability distributions within planar space-time prisms. International Journal of Geographical Information Science, 28 (1), 104–125.
The authors apologize for an error in Equation (47) on page 114; the correct equation should be:
Equation (47) is included in the article for conceptual completeness, but this equation is not used directly in the calculations. The Python scripts used to generate results for the article derive the upper and lower bounds along the y-axis, and , by calculating values for both conditions listed in Equations (45) and (46) and selecting the smaller one. Therefore, the calculation of the breakpoint is not included in the algorithm, and simulation results provided in the article are not affected by this error.
The authors thank Dr. Desheng Liu (Department of Geography, The Ohio State University) for an insightful question that led to the discovery of this error.