Lake Water Level Prediction Model Based on Artificial Intelligence and Classical Techniques – An Empirical Study on Lake Volta Basin, Ghana

  • Michael Stanley Peprah
  • Edwin Kojo Larbi
Keywords: Artificial Intelligence, Lake Volta Basin, Time Series Analysis, Water Level Modelling

Abstract

Several studies in the past and recent years have suggested numerous mathematical models
for Lake Water Level (LWL) modelling to a good precision. This study considered an
empirical evaluation of Artificial Intelligence and Classical Techniques such as Wavelet
Transform (WT), Bayesian Regularization Backpropagation Artificial Neural Network
(BRBPANN), Levenberg-Marquardt Backpropagation Artificial Neural Network
(LMBPANN), Scaled Conjugate-Gradient Backpropagation Artificial Neural Network
(SCGBPANN), Radial Basis Functions Artificial Neural Network (RBFANN), Generalized
Regression Artificial Neural Network (GRANN), Multiple Linear Regression (MLR), and
Autoregressive Integrated Moving Average (ARIMA) for LWL modelling. The motive is to
apply and assess for the first time in our study area, the working efficiency of the
aforementioned techniques. Satellite altimetry data provided by the United States
Department of Agriculture was used in this study. The input and output variables used in this
study were the decomposed LWL by the WT. Each model technique was assessed based on
statistical measures such as Arithmetic Mean Error (AME), Arithmetic Mean Square Error
(AMSE), arithmetic mean absolute percentage deviation (AMAPD), minimum error value
(rmin), maximum error value (rmax), and arithmetic standard deviation (ASD). The statistical
analysis of the results revealed that, all the hybridized models successfully estimate the LWL
heights at a good precision for the study area. However, Discrete Wavelet Transform (DWT)-
MLR model outperforms DWT-BRBPANN, DWT-LMBPANN, DWT-SCGBPANN,
DWT-RBFANN, DWT-GRANN, and DWT-ARIMA techniques in estimating the LWL
heights for the study area. In terms of AME, AMSE and ASD, DWT-MLR achieved 0.1988
m, 0.0024 m, and 0.0017 m respectively. The main conclusion drawn from this study is that,
the method of using novel ensemble models is promising and can be adopted for LWL
modelling in the study area. This study seeks to contribute to the existing knowledge on
understanding the hydrodynamic processes in Lake Volta Basin and support water resource
management.

References

Abban, E.K., 1999. Integrated Development of Artisanal Fishes.
Integrated Development of Artisanal Fisheries Project,
GHA/93/008, 1-43.
Adeoti, O.A., Osanaiye, P.A., 2013. Effect of Training Algorithms
on The Performance of ANN for Pattern Recognition of
Bivariate Process. International Journal of Computer
Applications 69 (20), 8-12.
Adnan, R., Ruslan, F.A., Samad, A.M., Zain, Z.M., 2012. Artificial
Neural Network Modelling and Flood Water Level Prediction
Using Extended Kalman Filter. 2012 IEEE International
Conference on Control System, Computing and Engineering,
23-25 November 2012, Penang, Malaysia, 535-538.
Akyen, T., Boye, C. B., Ziggah, Y.Y., 2016. Municipal Solid Waste
Estimation and Landfill Lifespan Prediction. 4th UMaT
Biennial International Mining and Mineral Conference,
Tarkwa, Ghana, GG 127-133.
Al-Krargy, E.M., Mohamed, H.F., Hosney, M.M., Dawod, G.M.
2017. A High-precison Geoid for Water Resources
Management: A Case Study in Menofia Governorate, Egypt.
National Water Research Center (NWRC) Conference on:
Research and Technology Development for Sustainable Water
Resources Management, Cairo, Egypt, 1-13.
Amin, M.M., 2003. An up to Date Precise 5´ * 5´ Geoid Grid for
Egypt by Collocation Technique. Port-Said Engineering
Research Journal (PSERT), Published by faculty of
Engineering, Suez Canal University, Port-Said, Egypt, 1-22.
Andersen, O.B., Knudsen, P., 1998. Global marine gravity field
from the ERS1 and Geosat geodetic mission. J Geophys Res,
103, 8129–8137.
Arabelos, D., Tziavos, I.N., 1996. Combination of ERS1 and
TOPEX altimetry for precise geoid and gravity recovery in the
Mediterranean Sea. Geophysical Journal International 125,
285-302.
Arthur, C.K., Temeng, V.A., Ziggah, Y.Y., 2020. Performance
Evaluation of Training Algorithms in Backpropagation Neural
Network Approach to Blast-Induced Ground Vibration
Prediction. Ghana Mining Journal 20 (1), 20-33.
Aytek, A., Kisi, O., Guven, A., 2014. A Genetic Programming
Technique for Lake Level Modelling. Hydrology Research 45
(4-5), 529-539.
Baghirli, O., 2015. Comparison of Lavenberg Marquardt, Scaled
Conjugate Gradient and Bayesian Regularization
Backpropagation Algorithms for Multistep Ahead Wind Speed
Forecasting Using Multilayer Perceptron Feedforward Neural
Network”, Published MSc Thesis Report, Uppsala University,
Gotland, 1-35.
Barzegar, R., Adamowski, J., Quilty, J., Aalami, M.T., 2020. Using
a Boundary-Corrected Wavelet Transform Coupled with
Machine Learning and Hybrid Deep Learning Approaches for
Multi-Step Water Level Forecasting in Lakes Michigan and
Ontario. EGU General Assembly 2020.
Béné, C., 2007. Diagnostic study of the Volta Basin fisheries Part 1
- Overview of the fisheries resources. Volta Basin Focal Project
Report No 6. World Fish Center Regional Offices for Africa and
West Asia, Cairo Egypt, and CPWF, Colombo, Sri Lanka, 1-
31.
Béné, C., Russell, A.J.M., 2007. Diagnostic study of the Volta Basin
fisheries. Part 1 - Livelihoods and poverty analysis, current
trends and projections. Volta Basin Focal Project Report No 7.
World Fish Center Regional Offices for Africa and West Asia,
Cairo Egypt, and CPWF, Colombo, Sri Lanka, 1-67.
Béné, C., Obirih-Opareh, N., 2009. Social and Economic Impacts
of Agricultural Productivity Intensification: The Case of Brush
Park Fisheries in Lake Volta. Agricultural Systems, 102, 1-10.
Box, G.E.P., Jenkins, G.M., 1976. Time Series Analysis:
Forecasting and Control, Holden-Day, Boca Raton, Fla, USA.
Boye, P., Ziggah, Y.Y., 2020. A Short-Term Stock Exchange
Prediction Model Using Box-Jenkins Approach. Journal of
Applied Mathematics and Physics 8, 766-779.
Braimah, L.I., 2003. Fisheries Management Plan for the Volta
Lake, Ministry of Food and Agriculture, Directorate of
Fisheries, Accra, Ghana, 1-77.
Cazenave, A., Schaeffer, P., Berge, M., Brosier, C., Dominh, K.,
Genero, M.C., 1996. High-resolution mean sea surface
computed with altimeter data of ERS1 (Geodetic Mission) and
TOPEX/POSEION. Geophysical Journal International 125,
696-704.
Chakraborty, A., Goswami, D., 2017. Slope Stability Prediction
using Artificial Neural Network (ANN). International Journal
of Engineering and Computer Science 6 (6), 21845-21848.
Chao-Long, Y., Li-Long, L., Si, X., 2011. Wavelet Denoising and
Dynamic Fuzzy Neural Network in the Application of
Deformation Analysis. 2011 International Conference on
Instrumentation, Measurement, Computer, Communication
and Control, 270-273.
Chen, W., Hill, C., 2005. Evaluation Procedure for Coordinate
Transformation. Journal of Surveying Engineering 131 (2), 43-
49.
Coe, M.T., Birkett, C.M., 2004. Calculation of River Discharge and
Prediction of Lake Height from Satellite Radar Altimetry:
Example for the lake Chad Basin. Water Resources Research 40
(W10205), 1-11.
De-Bao, Y., Ximin, C., Jinging, J., Guo, W., Wanyang, X., 2012.
Application Research of Wavelet Neural Network in Prediction
of Deformation. 2012 Asia Pacific Conference on
Environmental Science and Technology, Advances in
Biomedical Engineering, 202-209.
Deo, M.C., Chaudhari, G., 1998. Tide Prediction Using Neural
Networks. Computer-Aided Civil and Infrastructure
Engineering 13, 113-120.
Demir, V., Ulke Keskin, A., 2020. Height Modelling with Artificial
Neural Networks (Samsun_Mert River Basin). Gazi Journal of
Engineering Sciences 6 (1), 54-61.
Dickson, K.B., Benneh, G., 1977. A New Geography of Ghana.
Longman Group, London, UK, 1-173.
Dudek, G., 2011. Generalized Regression Neural Network for
Forecasting Time Series with Multiple Seasonal Cycles
Springer-Verlag Berlin Heidelberg 1, 1-8.
Ebtehaj, I., Bonakdari, H., Gharabaghi, B., 2019. A Reliable Linear
Method for Modelling Lake Level Fluctuations. Journal of
Hydrology 570, 236-250.
El-Shazly, A. H., 2005. The Efficiency of Neural Networks to
Model and Predict Monthly Mean Sea Level from Short Spans
Applied to Alexandria Tide Gauge. From Pharaohs to
Geoinformatics, FIG Working Week 2005 and GSDI-8, Cairo,
Egypt, April 16-21, 2005, 1-13.
Erdogan, S., 2009. A Comparison of Interpolation Methods for
Producing Digital Elevation Models at the Field Scale. Earth
Surface Processes and Landforms, 34, 366-376.
Farajzadeh, J., Fard, A. F., Lotfi, S., 2014. Modelling of Monthly
Rainfall and Runoff of Urmia Lake Basin Using Feed-Forward
Neural Network and Time Series Analysis Model. Water
Resources and Industry 7 (8), 38-48.
Fernandez, F.R.Q., Montero, N.B., III, R B.P., Addawe, R.C.,
Diza, H.M.R., 2018. Forecasting Manila South Harbour Mean
Sea Level Using Seasonal ARIMA Models. Journal of
Technology Management and Business 5 (1), 1-7.
Fernandez, F.R., III, R.P., Montero, N., Addawe, R., 2017.
Prediction of South China Sea Level Using Seasonal ARIMA
Models. Proceedings of the 13th IMT-GT International
Conference on Mathematics, Statistics and their Applications
(ICMSA 2017), 050018-1-050018-6.
Fischer, M.L., Markowska, M., Bachofer, F., Foerster, V.E., Asrat,
A., Zielhofer, C., Trauth, M.H., Junginger, A., 2020.
Determining the Pace and Magnitude of Lake Level Changes in
Southern Ethiopia Over the Last 20,000 Years Using Lake
Balance Modelling and SEBAL. Frontiers in Earth Science 8
(197), 1-21.
Foresee, F.D., Hagan, M.T. 1997. Gauss-Newton approximation to
Bayesian learning. Proceedings of the International Joint
Conference on Neural Networks, 3, 1930-1935.
Ghilani, D.C., 2010. Adjustment Computations, Spatial Data
Analysis. Fifth Edition, Wiley & Sons, INC. Hoboken, New
Jersey, USA, 1-674.
Ghorbani, M.A., Khatibi, R., Aytek, A., Makarynskyy, O., Shiri,
J., 2010. Sea Water Level Forecasting Using Genetic
Programming and Comparing the Performance with Artificial
Neural Networks. Computers & Geosciences 36, 620-627.
Grgic, S.M., Jukic, S., Nerem, R.S., Basic, S.T., 2017. The
Assessment of an Impact of Mean Sea Level change in the MidAdriatic Region Based on Satellite Altimeter Records. 17th
International Multidisciplinary Scientific Geoconference
SGEM 2017, Section Photogrammetry and Remote Sensing,
263-270.
Gyau-Boakye, P., 2001. Environmental Impacts of the Akosombo
Dam and Effects of Climate Change on the Lake Levels.
Environ. Dev. Substain, 3(1), 17-29.
Hagan, M.T., Demuth, H.B., Beale, M.H., 1996. Neural Network
Design, Boston, MA: PWS Publishing.
Hannan, S.A., Manza, R.R., Ramteke, R.J., 2010. Generalized
Regression Neural Network and Radial Basis Function for
Heart Disease Diagnosis. International Journal of Computer
Applications 7 (13), 7-13.
Huang, F.M., Wu, P., Ziggah, Y.Y., 2016. GPS Monitoring
Landslide Deformation Signal Processing Using Time Series
Model. International Journal of Signal Processing, Image
Processing and Pattern Recognition 9 (3), 321-332.
Idri, A., Zakrani, A., Zahi, A., 2010. Design of Radial Basis
Function Neural Networks for Software Effort Estimation.
International Journal of Computer Science Issue, 7 (4), 11-17.
Ismail, S., Pandiali, S.M., Shabri, A., Mustapha, A., 2018.
Comparative Analysis of River Flow Modelling by Using
Supervised Learning Technique. IOP Conf. Series, Journal of
Physics: Conference Series 995 (2018) 012045, 1-9.
Jie-Xing, Z., Jing, W., Peng-Fei, W., Yang, H., Bin, L., Jing, L.,
2012. Wavelet Analysis of Water Quality Changes in Dianchi
Lake during the Past 7a. International Conference on Structural
Computation and Geotechnical Mechanics, Procedia Earth and
Planetary Sciences 5, 280-288.
Jian-Jun, S., 2003. Prediction and Analysis of Tides and Tidal
Currents. International Hydrographic Review 4 (2), 24-29.
Kaloop, M.R., Beshr, A.A.A., Zarzoura, F., Ban, W.H., Hu, J.W.
2020. Predicting Lake Wave Height Based on Regression
Classification and Multi Input-Single Output Soft Computing
Models. Arabian Journal of Geosciences 13 (591), 1-14.
Kaloop, M.R., Rabah, M., Hu, J.W., Zaki, A., 2017. Using
Advanced Soft Computing Techniques for Regional Shoreline
Geoid Model Estimation and Evaluation. Marine Georesources
& Geotechnology 36 (6) 1-11.
Kaur, H., Salaria, D.S., 2013. Bayesian Regularization Based
Neural Network Tool for Software Effort Estimation, Global
Journal of Computer Science and Technology 13 (2), 44-50.
Kisi, O., Shiri, J., Nikoofar, B., 2012. Forecasting Daily Lake Levels
Using Artificial Intelligence Approaches. Computers and
Geoscience 41, 169-180.
Kişi, Ӧ., Uncuoğlu, E., 2005. Comparison of three back-propagation
training algorithm for two case studies. Indian Journal of
Engineering and Materials Science 12, 434-442.
Kumi-Boateng, B., Peprah, M.S., 2020. Modelling Local Geometric
Geoid using Soft Computing and Classical Techniques: A Case
Study of the University of Mines and Technology (UMaT)
Local Geodetic Reference Network. International Journal of
Earth Sciences Knowledge and Applications 2 (3), 166-177.
Lawson, G.W., 1970. Lessons of the Volta – A New Man-made
Lake in Tropical Africa. Africa Biological Conservation 2 (2),
91-96.
Ledolter, J., 2008. A Statistical Analysis of the Lake Levels at Lake
Neusiedl. Austrian Journal of Statistics 37 (2), 147-160.
Lemoine, F.G., Kenyon, S.C., Factor, J.K., Trimmer, R.G., Pavlis,
N.K., Chinn, D.S., Cox, C., Klosko, S.M., Luthcke, S.B.,
Torrence, M.H., Wang, Y.M., Williamson, R.G., Pavlis, E.C.,
Rapp, R.H., Olson, T.R., 1998. The development of the join
NASA GSFC and NIMA geopotential model EGM96. NASA
Technical Paper, 1-4.
Li, G., Shi, J., 2012. Applications of Bayesian methods in wind
energy conversion systems. Renewable Energy 43, 1-8.
Lin, P., Yang, Z.L., Cai, X., David, C.H., 2015. Development and
Evaluation of a Physically-based Lake Level Model for Water
Resource Management: A Case Study for lake Buchanan,
Texas. Journal of Hydrology: Regional Studies 4, 661-674.
Liu, D., Wang, X., Zhang, Y.L., Yan, S.J., Cui, B.S., Yang, Z.F.,
2019. A Landscape Connectivity Approach for Determining
Minimum Ecological Lake Level: Implications for Lake
Restoration. Water 11 (2237), 1-14.
Makwinja, R., Phiri, T., Kosamu, I.B.M., Kaonga, C.C., 2017.
Application of Stochastic Models in Predicting Lake Malawi
Water Levels. International Journal of Water Resources and
Environmental Engineering 9 (9), 191-200.
Makarynskyy, O., Kuhn, M., Makarynska, D., Featherstone, W.E.,
2004. The Use of Artificial Neural Networks to Retrieve Sea
Level Information from Remote Data Sources. IAG
International Symposium: Gravity, Geoid and Space Missions,
Porto, Portugal, August 30-September 3, 2004, Springer Verlag,
Berlin, Germany, 1-4.
Mitchum, G.T., 2000. An Improved Calibration of Satellite
Altimetric Heights using Tide Gauge Sea Levels with
Adjustment for land Motion. Marine Geodesy 23, 145-166.
Møller, M.F., 1991. A Scaled Conjugate Gradient Algorithm for
Fast Supervised Learning. Neural Networks 6, 525-533.
Mueller, V.A., Hemond, F.H., 2013. Extended artificial neural
networks: in-corporation of a priori chemical knowledge enables use
of ion selective electrodes for in-situ measurement of ions at
environmental relevant levels. Talanta 117, 112-118.
Muthuwatta, L.P., 2004. Long Term Rainfall-Runoff-Lake Level
Modelling of the Lake Naivasha Basin, Kenya. Published MSc
Dissertation, Water Resources Survey and Environmental
Systems Analysis and Management, International Institute for
Geo-Information Science and Earth Observation, Enschede,
The Netherlands, 1-89.
Ndehedehe, C.E., Awange, J.L., Kuhn, M., Agutu, N.O., Fukuda,
Y., 2017. Analysis of Hydrological Variability over the Volta
River Basin using in-situ Data and Satellite Observations.
Journal of Hydrology: Regional Studies 12, 88-110.
Ni, S., Cehn, J., Wilson, C. R., Hu, X. (2017). Long-Term Water
Storage Changes of Lake Volta from GRACE and Satellite
Altimetry and Connections with Regional Climate, Remote
Sensing, 9 (842).
Nikentari, N., 2017. Tide Forecast Using Radial Basis Function
Neural Network. ADRI International Journal of Semantic
Technology 1, 38-40.
Okwuashi, O., Olayinka, D.N., 2017. Tide Modelling Using the
Kalman Filter. Journal of Spatial Science 62 (2), 353-365.
Okwuashi, O., Ndehedehe, C.E., 2017. Tide Modelling Using
Support Vector Machine Regression. Journal of Spatial Science
62 (1), 29-46.
Owusu, K., Waylen, P., Qiu, Y., 2008. Changing Rainfall Inputs in
the Volta Basin: Implications for Water Sharing in Ghana.
GeoJournal 71 (4), 201-210.
Pan, X., Lee, B., Zhang, C., 2013. A comparison of neural network
backpropagation algorithms for electricity load forecasting.
Intelligent Energy Systems (IWIES), 2013 IEEE International
Workshop, 22-27.
Pashova, L., Popova, S., 2011. Daily Sea Level Forecast at Tide
Gauge Burgas, Bulgaria Using Artificial Neural Networks.
Journal of Sea Research 66, 154-161.
Peprah, S.M., Yevenyo, Y.Y., Issaka, I., 2017. Performance
Evaluation of the Earth Gravitational Model (EGM2008) – A
Case Study. South African Journal of Geomatics 6 (1), 47-72.
Peprah, M.S., Mensah, I.O., 2017. Performance Evaluation of the
Ordinary Least Square (OLS) and Total Least Square (TLS) in
Adjusting Field Data: An Empirical Study on a DGPS Data.
South African Journal of Geomatics 6 (1), 73-89.
Peprah, M.S., Kumi, S.A., 2017. Appraisal of Methods for
Estimating Orthometric Heights – A Case Study in a Mine.
Journal of Geoscience and Geomatics 5 (3), 96-108.
Peprah, M.S., Larbi, E.K., 2021. Lake Water Level Prediction
Model Based on Autocorrelation Regressive Integrated Moving
Average and Kalman Filtering Techniques – An Empirical
Study on Lake Volta Basin, Ghana. International Journal of
Earth Sciences Knowledge and Applications 3 (1), 1-11.
Poku-Gyamfi, Y., 2009. Establishment of GPS Reference Network
in Ghana. Published MPhil Dissertation, Universitat Der
Bundeswehr Munchen Werner Heisenberg-Weg 39, 85577,
Germany, 1-218.
Piri, J., Kahkha, M.R.R., 2016. Prediction of Water Level
Fluctuations of Chahnimch Reservoirs in Zabol Using ANN,
ANFIS, and Cuckoo Optimization Algorithm. Iranian Journal
of Health, Safety and Environment 4 (2), 706-715.
Piasecki, A., Jurasz, J., Adamowski, J.F., 2018. Forecasting Surface
Water-Level Fluctuations of a Small Glacial Lake in Poland
Using a Wavelet-based Artificial Intelligence Method. Acta
Geophysica 66 (5), 1093-1107.
Piasecki, A., Jurasz, J., Skowron, R., 2015. Application of Artificial
Neural Networks (ANN) in Lake Drweckie Water Level
Modelling. Limnological Review 15 (1), 21-29.
Pozzi, M., Malmgren, B.A., Monechi, S., 2000. Sea Surface-Water
Temperature and Isotopic Reconstructions from
Nannoplankton Data Using Artificial Neural Networks.
Palaeontologia Electronica 3 (2), 1-14.
Rodgers, C., Van de Giesen, N., Laube, W., Vick, P.L.G.,
Youkhana, E., 2007. The GLOWA Volta Project: A
Framework for Water Resources Decision-making and
Scientific Capacity Building in a Transnational West African
Basin. In Integrated Assessment of Water Resources and Global
Change: A North-South Analysis, Springer: Dordrecht, The
Netherlands, 295-313.
Sahay, R.S., Sehgal, V., 2014. Wavelet-ANFIS Models for
Forecasting Monsoon Flows: Case Study for the Gandak River
(India). Water Resources 41 (5), 574-582.
Sandhu, P.S., Chhabra, S., 2011. A Comparative Analysis of
Conjugate Gradient Algorithms and PSO Based Neural
Network Approaches for Reusability Evaluation of Procedure
Based Software Systems. Chiang Mai Journal of Science 38 (2),
123-135.
Sehgal, V., Tiwari, M.K., Chatterjee, C., 2014. Wavelet Bootstrap
Multiple Linear Regression based Hybrid Modelling for Daily
River Discharge Forecasting. Water Resources Management
28, 2793-2811.
Shafaei, M., Kisi, O., 2015. Lake Level Forecasting Using WaveletSVR, Wavelet-ANFIS, and Wavelet-ARMA Conjunction
Models. Water Resources Management 29, 1-21.
Sheta, A.F., Ahmed, S.E.M., Faris, H., 2015. A Comparison
between Regression, Artificial Neural Networks and Support
Vector Machines for Predicting Stock Market Index.
International Journal of Advanced Research in Artificial
Intelligence 4 (7), 55-63.
Sithara, S., Pramada, S. K., Thampi, S.G., 2020. Sea Level
Prediction Using Climatic Variables: A Comparative Study of
SVM and Hybrid Wavelet SVM Approaches. Journal Acta
Geophysica 68 (1779-1790).
Specht, D., 1991. A General Regression Neural Network. IEEE
Transactions on Neural Networks 2 (6), 568-576.
Srichandan, S., 2012. A New Approach of Software Effort
Estimation using Radial Basis Function Neural Networks. ISSN
(Print), 1(1), 2319-2526.
Srivastava, P., Kumar, A., Singh, R., Deepak, O., Kumar, A.M.,
Ray, Y., Jayangondaperumal, R., Phartiyal, B., Chahal, P.,
Sharma, P., Ghosh, R., Kumar, N., Rajesh, A., 2020. Rapid
Lake Level Fall in Pangong Tso (Lake) in Ladakh, NW
Himalaya: A Response of Late Holocene Aridity. Current
Science 119 (2), 219-231.
Srivastava, P.K., Islam, T., Singh, S.K., Petropoulos, G.P., Gupta,
M., Dai, Q., 2016. Forecasting Arabian Sea Level Rise Using
Exponential Smoothing State Space Models and ARIMA from
TOPEX and Jason Satellite Radar Altimeter Data.
Meteorological Applications 23, 633-639.
Tiryaki, B., 2008. Predicting intact rock strength for mechanical
excavation using multivariate statistics, Artificial Neural
Networks and Regression Trees. Engineering Geology 99, 51-
60.
Tolkatchev, A., 1996. Global Sea Level Observing System. Marine
Geodesy 19, 21-62.
Turner, J.F., Iliffe, J.C., Ziebart, M.K. Jones, C., 2013. Global
Ocean Tide Models: Assessment and use within a surface Model
of Lowest Astronomical Tide. Marine Geodesy 36, 123-137.
Tziavos, I.N., Vergos, G.S., Kotzev, V., Pashova, L., 2005. Mean
Sea Level and Sea Level Variation Studies in the Black Sea and
the Aegean. Gravity, Geoid and Space Missions, 254-259.
Vergos, G.S., Tziavos, I.N., Andritsanos, V.D., 2003. On the
Determination of Marine Geoid Models by Least Squares
Collocation and Spectral Methods using Heterogeneous Data.
Presented at Session G03 of the 2004 IUGG General Assembly,
Sapporo, Japan, July 2–8, 2003, 1-5.
Veitch, D., 2005. Wavelet Neural Networks and their Applications
in the Study of Dynamical Systems. Published MSc Thesis in
Data Analysis, Networks and Nonlinear Dynamics,
Department of Mathematics, University of York, UK, 1-90.
Wenzel, H.G., 1998. Ultra-high degree geopotential model
GPM3E97 to degree and order 1800 tailored to Europe.
Presented at the 2nd Continental Workshop on the geoid in
Europe, Budapest, Hungary, 1-4.
Wilamowski, B.M., 2009. Neural network architectures and
learning algorithms. Industrial Electronics Magazine, IEEE, 3
(4), 56-63.
Xue, Y.J., Cao, J.X., Zhang, G.I., Du, H.K., Wen, Z., Zeng, X.H.,
Zou, F., 2017. Application of Local Wave Decomposition in
Seismic Signal Processing. Intech, Open Science, Open Minds,
1-25.
Yakubu, I., Dadzie, I., 2019. Modelling Uncertainties in
Differential Global Positioning System Dataset. Journal of
Geomatics 13 (1), 16-23.
Yakubu, I., Ziggah, Y.Y., Peprah, M.S., 2018a. Adjustment of
DGPS Data using artificial intelligence and classical least square
techniques. Journal of Geomatics 12 (1), 13-20.
Yakubu, I., Ziggah, Y.Y., Baafi K.A., 2018b. Prediction of Tidal
Effect on the Earth Crust for Geodetic Deformation Monitoring.
Ghana Journal of Technology 2 (2): 63 - 69.
Yaseen, Z.M., Naghshara, S., Salih, S.Q., Kim, S., Malik, A.,
Ghorbani, M.A. 2020. Lake Water Level Modelling Using
Newly Developed Hybrid Data Intelligence Model. Theoretical
and Applied Climatology.
Young, C.C., Liu, W.C., Hsieh, W.L., 2015. Predicting the Water
Level Fluctuation in an Alpine Lake Using Physically Based,
Artificial Neural Network, and Time Series Forecasting Models.
Mathematical Problems in Engineering, 1-5.
Yusof, F., Kane, I.L., Yusof, Z., 2013. Hybrid of ARIMA-GARCH
Modelling in Rainfall Time Series. Jurnal Teknologi (Sciences
and Engineering) 63 (2), 27-34.
Wang, Y., Yuan, Y., Pan, Y., Fan, Z., 2020. Modelling Daily and
Monthly Water Quality Indicators in a Canal Using a Hybrid
Wavelet-based Support Vector Regression Structure. Water 12
(1476), 1-21.
Zahra, G., Xiaoli, D., 2015. Application of the Multi-Adaptive
Regression Splines to Integrate Sea Level Data from Altimetry
and Tide Gauges for Monitoring Extreme Sea Level Events.
Marine Geodesy 38 (3), 261-276.
Zhou, C., Yin, K., 2014. Landslide Displacement Prediction of
WA-SVM Coupling Model Based on Chaotic Sequence.
Electronic Journal of Geotechnical Engineering 19, 2973-2987.
Zhu, S., Lu, H., Ptak, M., Dai, J., Ji, Q., 2020a. Lake Water-Level
Fluctuation Forecasting Using Machine Learning Models: A
Systematic Review. Environmental Science and Pollution
Research 27, 44807-44819.
Zhu, S., Hrnjica, B., Ptak, M., Choinski, A., Sivakumar, B., 2020b.
Forecasting of Water Level in Multiple Temperature Lakes
Using Machine Learning Models. Journal of Hydrology 585
(124819), 1-13.
Zhu, S., Ptak, M., Yaseen, Z.M., Dai, J., Sivakumar, B., 2020c.
Forecasting Surface Water Temperatures in Lakes: A
Comparison of Approaches. Journal of Hydrology 585
(124809), 1-10.
Zhu, S., Hadzima-Nyarko, M., Gao, A., Wang, F., Wu, J., Wu, S.,
2019. Two Hybrid Data-Driven Models for Modelling WaterAir Temperature Relationship in Rivers. Environmental Science
and Pollution Research, 1-10
Ziggah, Y.Y., Youjian, H., Yu, X., Basommi, L.P., 2016.
Capability of Artificial Neural Network for forward Conversion
of Geodetic Coordinates (Ф, λ, h) to Cartesian Coordinates (X,
Y, Z). Mathematical Geosciences 48, 687-721.
Published
2020-12-15
Section
Articles