A1 Refereed original research article in a scientific journal

Estimating the prediction performance of spatial models via spatial k-fold cross validation




AuthorsPohjankukka J, Pahikkala T, Nevalainen P, Heikkonen J

PublisherTAYLOR & FRANCIS LTD

Publication year2017

JournalInternational Journal of Geographical Information Science

Journal name in sourceINTERNATIONAL JOURNAL OF GEOGRAPHICAL INFORMATION SCIENCE

Journal acronymINT J GEOGR INF SCI

Volume31

Issue10

First page 2001

Last page2019

Number of pages19

ISSN1365-8816

DOIhttps://doi.org/10.1080/13658816.2017.1346255

Self-archived copy’s web addresshttps://research.utu.fi/converis/portal/detail/Publication/26330595


Abstract
In machine learning, one often assumes the data are independent when evaluating model performance. However, this rarely holds in practice. Geographic information datasets are an example where the data points have stronger dependencies among each other the closer they are geographically. This phenomenon known as spatial autocorrelation (SAC) causes the standard cross validation (CV) methods to produce optimistically biased prediction performance estimates for spatial models, which can result in increased costs and accidents in practical applications. To overcome this problem, we propose a modified version of the CV method called spatial k-fold cross validation (SKCV), which provides a useful estimate for model prediction performance without optimistic bias due to SAC. We test SKCV with three real-world cases involving open natural data showing that the estimates produced by the ordinary CV are up to 40% more optimistic than those of SKCV. Both regression and classification cases are considered in our experiments. In addition, we will show how the SKCV method can be applied as a criterion for selecting data sampling density for new research area.

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