Title
Geographically Neural Network Weighted Regression For The Accurate Estimation Of Spatial Non-Stationarity
Abstract
Geographically weighted regression (GWR) is a classic and widely used approach to model spatial non-stationarity. However, the approach makes no precise expressions of its weighting kernels and is insufficient to estimate complex geographical processes. To resolve these problems, we proposed a geographically neural network weighted regression (GNNWR) model that combines ordinary least squares (OLS) and neural networks to estimate spatial non-stationarity based on a concept similar to GWR. Specifically, we designed a spatially weighted neural network (SWNN) to represent the nonstationary weight matrix in GNNWR and developed two case studies to examine the effectiveness of GNNWR. The first case used simulated datasets, and the second case, environmental observations from the coastal areas of Zhejiang. The results showed that GNNWR achieved better fitting accuracy and more adequate prediction than OLS and GWR. In addition, GNNWR is applicable to addressing spatial non-stationarity in various domains with complex geographical processes.
Year
DOI
Venue
2020
10.1080/13658816.2019.1707834
INTERNATIONAL JOURNAL OF GEOGRAPHICAL INFORMATION SCIENCE
Keywords
DocType
Volume
Geographically neural network weighted regression, Geographically weighted regression, Spatial non-stationarity, Neural network, Ordinary least squares
Journal
34
Issue
ISSN
Citations 
7
1365-8816
0
PageRank 
References 
Authors
0.34
0
5
Name
Order
Citations
PageRank
Zhenhong Du13116.98
Zhongyi Wang201.01
Sensen Wu322.76
Feng Zhang434.76
Liu Renyi51513.13