Spatial analysis of the relationship of ground slopes with water erosion using the Ordinary Least Squares (OLS) and Geographically Weighted Regression (GWR) method in ArcGIS Desktop

عنوان المقال عربي

التحليل المكاني للعلاقة بين منحدرات الأرض وتآكل المياه باستخدام طريقة المربعات الصغرى العادية (OLS) والانحدار الموزون جغرافيًا (GWR) في ArcGIS Desktop

Authors

Nahdh H. Mohammed
Falah H. Abed
Sarhan Naeem Al-Khafaji

اسم الباحث عربي

نهضة محمد، فلاح عابد، سرحان نعيم الخفاجي، مروة عبد الهادي حسن

Abstract

In this study, performances of two method techniques ordinary least square (OLS) regression and geographically weighted regression (GWR) were compared for the task of predicting the values ​​of water erosion across a study area in Dewana basin as a part of Sulaymaniyah Province, northeast Iraq. The study showed a clear difference between the two methods Because least squares regression methods do not take into account local variations within the study area and it does not give weight to the area or to any other weighted element, it gives a general impression of the type of relationship between the independent variables and the extent of their influence with the dependent variable. The geographically weighted regression model considers the internal local variations of the study area and the ability to give some weights outweigh the elements involved in the process of analysis. These study results have recorded a difference between the two methods approximately (9.3%). The best results were obtained with the GWR model with an area estimated at (199.4 km2) of total area at the rate of (33.2%). The results showed no significant relationship between water erosion and the degree of slope. It is also found that calculating the values ​​of water erosion by the Bergsma method does not give accurate results for measuring the severity of erosion in general and does not record a strong correlation compared to the degree of slope on the other hand.

Keywords

Spatial Statistics; OLS; GWR; Geographical Information Science; water erosion; Geostatistics, Ordinary Least Squares Regression, Geographically Weighted Regression; Geographic Information Systems, Water Erosion, Spatial Statistics.

Recommended Citation

Mohammed, Nahdh H.; Abed, Falah H.; and Al-Khafaji, Sarhan Naeem (2025) "Spatial analysis of the relationship of ground slopes with water erosion using the Ordinary Least Squares (OLS) and Geographically Weighted Regression (GWR) method in ArcGIS Desktop," Uruk for Humanities: Vol. 14: Iss. 3, Article 33.
Available at: https://muthuruk.mu.edu.iq/journal/vol14/iss3/33