Abstract

The aim of this study is to assess the possibility of forecasting water level fluctuations in a relatively small (<100 km2), post-glacial lake located in a temperate climate zone by means of artificial neural networks and multiple linear regression. The area of study was Lake Serwy, located in northeastern Poland. Two artificial neural network (ANN) multilayer perceptron (MLP) and multiple linear regression (MLR) models were built. The following explanatory variables were considered: maximal and minimal temperature (Tmax, Tmin) wind speed (WS), vertical circulation (VC) and water level from previous periods (WL). Additionally, a binary variable describing the period of the year (winter, summer) has been considered in one of the two MLP and MLR models. The forecasting models have been assessed based on selected criteria: mean absolute percentage error (MAPE), root mean squared error (RMSE), coefficient of determination (R2) and mean biased error. Considering their values and absolute deviations from observed values it was concluded that the ANN model using an additional binary variable (MLP_B+) has the best forecasting performance. Absolute deviations from observed values were the determining factor which made this model the most efficient. In the case of the MLP_B+ model, those values were about 10% lower than in other models. The conducted analyses indicated good performance of ANN networks as a forecasting tool for relatively small lakes located in temperate climate zones. It is acknowledged that they enable water level forecasting with greater precision and lower absolute deviations than the use of multiple linear regression models.

Highlights

  • The aim of this study is to compare the accuracy of water level forecasts based on artificial neural networks and multiple linear regression for a relatively small, postglacial lake located in a temperate climate zone

  • The most precise forecasts were derived for an ANN model which used the additional binary variable (MLP_B+)

  • This confirms the possibility of an efficient application of ANN to forecasting water level of lakes located in temperate climates and having a relatively low area

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Summary

Introduction

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Water level changes determine the v2e0g1e1t)a.tioBnacatnerdiaocmcuaryrednecgeraodf eceTrtNaiTn kuinnddesroaf eprloabnitcliofer tahnaatewroilbl ifclocuornisdhitaiolonnsgdairceoctalsyta(lTzNonTeis(Nsoicuorlc, eGoafncfa2r0b0o0n; Raniids,/oHrawneitsro2g0e0n2)). Wsoaitlerisreseoxucracveastwedh,ichhoismoofgegnreisaetdimapnodrtansuceppinlemcaesneteodf ewnietrhgynugternieenrattsi)o(nBaanlddriirarnig2at0i0o8n)..PTrehciisselimfoirtescaasptps lmicaakbeilseitvyidoefnbciinogreamndeddiaetteiocntioonf oTfNvaTribatyiofnuningiwinatseirtuecaotsaysftieemld fsucnaclet.ioning much easier and enable faster adjustments to those changes. A. Piasecki et al Forecasting surface water level fluctuations of lake serwy (Northeastern Poland) by artificial neural

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