Determination of Pedestrian Critical Gap and Level of Service at Selected Crosswalks of Unsignalized Intersections in Kathmandu Valley
Student: Rishikesh Shah
Supervisor: Asst. Prof. Rajesh Khadka
Submitted Date:
July, 2026
Abstract
Unsignalized intersections in the Kathmandu Valley provide major operational issues for
pedestrians due to mixed traffic and a lack of official control mechanisms. This study aims
to determine the pedestrian critical gap and evaluate Pedestrian Level of Service (PLOS) at
selected crosswalks of unsignalized intersections. The research evaluated average waiting
time and variations across demographic factors like gender, group size and carrying
luggage while developing log-linear regression-based model to predict waiting time. The
methodology involved a video-graphic survey across nine crosswalk legs at three
intersections: Pepsicola, Dhapakhel Dobato, and Patan Hospital. The Probability
Equilibrium Method (PEM) was used to estimate critical gap, selected for its statistical
strength and suitability for mixed traffic compared to other deterministic methods.
Total of 2609 observations were analyzed. The results indicated that pedestrian critical gap
varied between 2.53s and 4.34s across intersection legs. Average waiting times ranged
from 8.53s to 28.05s. Local PLOS boundaries were calibrated at < 5.8s (PLOS A),
5.8–11.7s (PLOS B), 11.7–18.8s (PLOS C), 18.8–27.2s (PLOS D), 27.2–37.7s (PLOS E),
and > 37.7s (PLOS F) using K-means clustering method. Under these calibrated
benchmarks, intersections at Pepsicola (15.77s) operated at PLOS C, while Dhapakhel
Dobato (20.58s) and Patan Hospital (22.19s) both operated at PLOS D.
Log-linear multiple regression model was developed to predict waiting time, that yielded
an R 2 of 0.515 (Adjusted R 2 = 0.513) with strong statistical significance (F = 276, P <
0.001). The analysis identified critical gap, roadside friction score, roadway width as
primary significant predictors of pedestrian delay. Within the log-transformed domain (ln
WT), the model demonstrated predictive capability, yielding MAPE of 8.01%. The study
concluded that PEM and K-means clustering provide reliable framework to understand
pedestrian decision-making and that PLOS at unsignalized crossings need pedestrians
crossing facilities improvements, to enhance urban mobility and safety.
Keywords
Pedestrian Critical Gap, PLOS, Probability Equilibrium Method (PEM), K-means Clustering, Unsignalized Intersection, Kathmandu, Waiting Time, Error Metrics.