EWLR - A New Method for Interpolating Elevation-Driven Variables: Annual Rainfall in Erbil Governorate
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Abstract
Accurate spatial estimation of rainfall is critical for hydrological modeling, water resource management, and agricultural planning---particularly in mountainous and semi-arid regions with sparse monitoring networks. This study presents an Enhanced Elevation-Weighted Local Regression (EWLR) model to generate a high-resolution (30~m) annual rainfall surface for Erbil Governorate, northern Iraq. The EWLR model integrates distance weighting, elevation similarity weighting, and orographic enhancement within a locally weighted regression framework. Average annual rainfall, derived from rainy seasons spanning 1997--1998 to 2024--2025 across 19 meteorological stations, along with a 30~m resolution digital elevation model (DEM), were used to construct and validate the model. Hyperparameters were optimized via Leave-One-Out Cross-Validation (LOOCV), and performance was benchmarked against conventional methods including Inverse Distance Weighting (IDW), Kriging, Thin-Plate Spline, and Radial Basis Function interpolation. Results indicate that EWLR outperforms all benchmarks, achieving $R^2 = 0.797$, RMSE $= 120.9$~mm, and MAE $= 87.46$~mm. Rainfall shows a strong positive correlation with elevation ($r = 0.907$, $p < 0.001$), increasing nearly fivefold from lowland plains ($\sim$270~mm) to mountainous areas ($>$1{,}300~mm). The final high-resolution rainfall map captures orographic effects reasonably well, providing a physically consistent, statistically robust dataset suitable for hydrological, climatic, and environmental modeling in data-sparse mountainous regions. The methodology offers a reproducible, elevation-centric framework adaptable to other elevation-driven variables (e.g., temperature lapse rates or snow accumulation) and complex terrains with limited observations.
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References
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Cite This Article
TY - JOUR
AU - Rasul, Azad
PY - 2026
DA - 2026/09/24
TI - EWLR - A New Method for Interpolating Elevation-Driven Variables: Annual Rainfall in Erbil Governorate
JO - Journal of Geoscience and Earth Observation
T2 - Journal of Geoscience and Earth Observation
JF - Journal of Geoscience and Earth Observation
VL - 1
IS - 2
SP - 158
EP - 171
DO - 10.62762/JGEO.2026.171666
UR - https://www.icck.org/article/abs/JGEO.2026.171666
KW - rainfall interpolation
KW - Elevation-Weighted Local Regression (EWLR)
KW - orographic enhancement
KW - Kurdistan Region
KW - mountainous terrain
KW - spatial precipitation mapping
KW - hydrological modeling
AB - Accurate spatial estimation of rainfall is critical for hydrological modeling, water resource management, and agricultural planning---particularly in mountainous and semi-arid regions with sparse monitoring networks. This study presents an Enhanced Elevation-Weighted Local Regression (EWLR) model to generate a high-resolution (30~m) annual rainfall surface for Erbil Governorate, northern Iraq. The EWLR model integrates distance weighting, elevation similarity weighting, and orographic enhancement within a locally weighted regression framework. Average annual rainfall, derived from rainy seasons spanning 1997--1998 to 2024--2025 across 19 meteorological stations, along with a 30~m resolution digital elevation model (DEM), were used to construct and validate the model. Hyperparameters were optimized via Leave-One-Out Cross-Validation (LOOCV), and performance was benchmarked against conventional methods including Inverse Distance Weighting (IDW), Kriging, Thin-Plate Spline, and Radial Basis Function interpolation. Results indicate that EWLR outperforms all benchmarks, achieving $R^2 = 0.797$, RMSE $= 120.9$~mm, and MAE $= 87.46$~mm. Rainfall shows a strong positive correlation with elevation ($r = 0.907$, $p < 0.001$), increasing nearly fivefold from lowland plains ($\sim$270~mm) to mountainous areas ($>$1{,}300~mm). The final high-resolution rainfall map captures orographic effects reasonably well, providing a physically consistent, statistically robust dataset suitable for hydrological, climatic, and environmental modeling in data-sparse mountainous regions. The methodology offers a reproducible, elevation-centric framework adaptable to other elevation-driven variables (e.g., temperature lapse rates or snow accumulation) and complex terrains with limited observations.
SN - 3144-2692
PB - Institute of Central Computation and Knowledge
LA - English
ER -
@article{Rasul2026EWLR,
author = {Azad Rasul},
title = {EWLR - A New Method for Interpolating Elevation-Driven Variables: Annual Rainfall in Erbil Governorate},
journal = {Journal of Geoscience and Earth Observation},
year = {2026},
volume = {1},
number = {2},
pages = {158-171},
doi = {10.62762/JGEO.2026.171666},
url = {https://www.icck.org/article/abs/JGEO.2026.171666},
abstract = {Accurate spatial estimation of rainfall is critical for hydrological modeling, water resource management, and agricultural planning---particularly in mountainous and semi-arid regions with sparse monitoring networks. This study presents an Enhanced Elevation-Weighted Local Regression (EWLR) model to generate a high-resolution (30~m) annual rainfall surface for Erbil Governorate, northern Iraq. The EWLR model integrates distance weighting, elevation similarity weighting, and orographic enhancement within a locally weighted regression framework. Average annual rainfall, derived from rainy seasons spanning 1997--1998 to 2024--2025 across 19 meteorological stations, along with a 30~m resolution digital elevation model (DEM), were used to construct and validate the model. Hyperparameters were optimized via Leave-One-Out Cross-Validation (LOOCV), and performance was benchmarked against conventional methods including Inverse Distance Weighting (IDW), Kriging, Thin-Plate Spline, and Radial Basis Function interpolation. Results indicate that EWLR outperforms all benchmarks, achieving \$R^2 = 0.797\$, RMSE \$= 120.9\$~mm, and MAE \$= 87.46\$~mm. Rainfall shows a strong positive correlation with elevation (\$r = 0.907\$, \$p < 0.001\$), increasing nearly fivefold from lowland plains (\$\sim\$270~mm) to mountainous areas (\$>\$1{,}300~mm). The final high-resolution rainfall map captures orographic effects reasonably well, providing a physically consistent, statistically robust dataset suitable for hydrological, climatic, and environmental modeling in data-sparse mountainous regions. The methodology offers a reproducible, elevation-centric framework adaptable to other elevation-driven variables (e.g., temperature lapse rates or snow accumulation) and complex terrains with limited observations.},
keywords = {rainfall interpolation, Elevation-Weighted Local Regression (EWLR), orographic enhancement, Kurdistan Region, mountainous terrain, spatial precipitation mapping, hydrological modeling},
issn = {3144-2692},
publisher = {Institute of Central Computation and Knowledge}
}
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Copyright © 2026 by the Author(s). Published by Institute of Central Computation and Knowledge. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/), which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made.
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