Geostatistical methods of map preparation on the example of temperature distribution in Africa

Patrycja Tarnowska; Marek Ogryzek; Eufemia Tarantino

doi:10.31648/aspal.11055

Published: 2025-10-16

Vol. 24 No. 3 (2025)

Geostatistical methods of map preparation on the example of temperature distribution in Africa

Patrycja Tarnowska , Marek Ogryzek

, Eufemia Tarantino

Acta Scientiarum Polonorum Administratio Locorum

Section: Articles

https://doi.org/10.31648/aspal.11055

Abstract

The main aim of the study was to compare the different geostatistical methods used to map the spatial distribution of temperature and to select the optimal method using the example of maximum temperatures in Africa. An exploratory data analysis was carried out, including statistical tests, distribution verification, and identification of outliers. Maps were produced in ArcGIS Pro using deterministic (IDW, LPI) and stochastic (Kriging Ordinary, Kriging Simple, Kriging Universal, EBK) methods with different parameters. Validation was then carried out using the GIS Data Modelling Validator software, analysing the interpolation error parameters. The validation made it possible to compare the different methods and select the most effective one. Prediction, probability and error maps were developed for the selected method. The analysis carried out showed that the appropriate selection of the interpolation method is crucial for the accuracy and usability of the resulting maps. Several key research questions were posed to identify the optimal geostatistical method for spatial mapping of temperature distribution, using data from Africa as a case study. The effectiveness of various methods in this process was investigated, along with the parameters during the data modelling phase that have the greatest impact on the accuracy of temperature predictions. Additionally, an attempt was made to determine to what extent the presence of outliers influences interpolation results. A critical issue was also to establish which method provides the highest predictability and concordance with actual temperature measurements.

Keywords:

geostatistics, validation, kriging, GIS, Walidator, MPQE

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Tarnowska, P., Ogryzek, M., & Tarantino, E. (2025). Geostatistical methods of map preparation on the example of temperature distribution in Africa. Acta Scientiarum Polonorum Administratio Locorum, 24(3), 449–468. https://doi.org/10.31648/aspal.11055

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References

Ahmed, K., Shahid, S., & Harun, S. (2014). Spatial interpolation of climatic variables in a predominantly arid region with complex topography. Environment Systems and Decisions, 34, 555–563. https://doi. org/10.1007/s10669-014-9519-0
Crossref
Google Scholar

Alvares, C. A., Stape, J. L., Sentelhas, P. C., De Moraes Gonçalves, J. L., & Sparovek, G. (2013). Köppen’s climate classification map for Brazil. Meteorologische Zeitschrift [Meteorological Journal], 22(6), 711–728. https://doi.org/10.1127/0941-2948/2013/0507
Crossref
Google Scholar

Anggani, N. L., Amrullah, H. M., & Gemilang, D. S. A. (2023). Moran I autocorrelation study for level spatial pattern analysis. Jurnal Indonesia Sosial Teknologi [Indonesian Journal of Social Technology], 4, 1285– 1291. https://doi.org/10.59141/jist.v4i9.686
Crossref
Google Scholar

Bojacá, C., Gil, R., Gómez, S., Cooman, A., & Schrevens, E. (2009). Analysis of greenhouse air tem-perature distribution using geostatistical methods. Transactions of the ASABE, 52, 957–968. https://doi. org/10.13031/2013.27393
Crossref
Google Scholar

Cellmer, R. (2014). Modelowanie przestrzenne w procesie opracowywania map wartości gruntów [Spatial modelling in the process of developing land value maps]. Wydawnictwo Uniwersytetu Warmińsko-Mazurskiego.
Google Scholar

Chiles, J.-P., & Delfiner, P. (1999). Geostatistics: Modeling Spatial Uncertainty. Wiley. https://doi. org/10.1002/9780470316993
Crossref
Google Scholar

Dębowska, U., & Zawadzki, J. (2005). Analiza statystyczna i geostatystyczna zróżnicowania przestrzennego parametrów położenia warstw w NW części Gór Świętokrzyskich [Statistical and geostatistical analysis of the spatial diversity of strata positions in the NW part of Holy Cross Mts, central Poland]. Przegląd Geologiczny, 53(4), 306–310.
Google Scholar

Davison, A., & Gholamrezaee, M. (2012). Geostatistics of extremes. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 468, 581–608. https://doi.org/10.1098/rspa.2011.0412
Crossref
Google Scholar

Gaździcki, J. (1990). Systemy Informacji Przestrzennej [Spatial Information Systems]. Polskie Przedsiębiorstwo Wydawnictwa Kartograficznego.
Google Scholar

Isaaks, E. H., & Srivastava, R. M. (1988). Spatial continuity measures for probabilistic and deterministic geostatistics. Mathematical Geology, 20, 313–341.
Crossref
Google Scholar

Izdebski, W. (2015). Wykłady z Systemów Informacji o Terenie [Lectures on Land Information Systems]. Wy¬dawnictwo Politechniki Warszawskiej.
Google Scholar

Jackowski, A. (2004). Encyklopedia. Geografia [Encyclopedia. Geography]. Zielona Sowa.
Google Scholar

Jha, S., Mariéthoz, G., Evans, J., & Mccabe, M. (2013). Demonstration of a geostatistical approach to physically consistent downscaling of climate modeling simulations. Water Resources Research, 49, 245–259. https://doi.org/10.1029/2012WR012602
Crossref
Google Scholar

Jha, S., Mariéthoz, G., Evans, J., Mccabe, M., & Sharma, A. (2015). A space and time scale‐dependent nonlinear geostatistical approach for downscaling daily pre¬cipitation and temperature. Water Resources Research, 51, 6244–6261. https://doi.org/10.1002/2014WR016729
Crossref
Google Scholar

Krige, D. G. (1951). A statistical approach to some basic mine valuation problems on the Witwatersrand. Journal of the Southern African Institute of Mining and Metallurgy, 52(6), 119–139.
Google Scholar

Krige, D. G. (1952). A statistical analysis of some of the borehole values in the Orange Free State goldfield. Journal of the Southern African Institute of Mining and Metallurgy, 53(3), 47–64.
Google Scholar

Maguire, D. J. (1991). An overview and definition of GIS. Geographical information systems: Principles and applications, 1(1), 9–20.
Google Scholar

Makowski, J. (2018). Geografia fizyczna świata [Physical geography of the world]. Wydawnictwo Naukowe PWN.
Google Scholar

Marmol, U. (2002). Modelowanie reprezentacji powierzchni topograficznej z wykorzystaniem metody geostatystycznej [Modeling of topographic Surface representation using geostatistical methods]. Geodezja [Geodesy], 8(2), 259–270.
Google Scholar

Martyn, D. (2000). Klimaty kuli ziemskiej [Climates of the Earth]. Państwowe Wydawnictwo Naukowe PWN.
Google Scholar

Matheron, G. (1962). Traité de géostatistique appliquée [Treatise on applied geostatistics]. Technip.
Google Scholar

Matheron, G. (1963). Principles of geostatistics. Technip.
Crossref
Google Scholar

Matheron, G. (1965). Les variables régionalisées et leur estimation: une application de la théorie de fonctions aléatoires aux sciences de la nature [Regionalized variables and their estimation: an application of random function theory to the natural sciences]. Masson.
Google Scholar

Morsy, S., & Ahmed, S. (2023). Monitoring of Land Surface Temperature from Landsat Imagery: A Case Study of Al-Anbar Governorate in Iraq. Geomatics and Environmental Engineering, 17(3), 61–81. https:// doi.org/10.7494/geom.2023.17.3.61
Crossref
Google Scholar

Ogryzek, M., & Kurowska, K. (2016). Geostatystyczne metody opracowywania map średnich cen transak¬cyjnych gruntów rolnych niezabudowanych [Geosta¬tistical Methods Preparing of Map Average Trans¬action Prices of Agricultural Land Undeveloped]. Studia i Prace WNEiZ US, 45(1), 397–408. https://doi. org/10.18276/sip.2016.45/1-31
Crossref
Google Scholar

Ogryzek, M. (2018). Parametryczna ocena jakości estyma¬cji map opracowanych metodami geostatystycznymi [Parametric evaluation of the quality of estimation of maps developed by geostatistical methods]. Stu¬dia i Prace WNEiZ US, 54(3), 319–330. https://doi. org/10.18276/sip.2018.54/3-23
Crossref
Google Scholar

Ogryzek, M., Krypiak-Gregorczyk, A., & Wielgosz, P. (2020). Optimal geostatistical methods for interpolation of the Ionosphere: A Case Study on the St Patrick’s Day storm of 2015. Sensors, 20(10), 2840. https://doi.org/10.3390/s20102840
Crossref
Google Scholar

Ogryzek, M., & Jaskulski, M. (2025). Applying Methods of Exploratory Data Analysis and Methods of Modeling the Unemployment Rate in Spatial Terms in Poland. Applied Sciences-Basel, 15(8). https://doi.org/10.3390/ app15084136
Crossref
Google Scholar

Pickens, B. A., Carroll, R., Schirripa, M. J., Forrestal, F., Friedland, K. D., & Taylor, J. C. (2021). A systematic review of spatial habitat associations and modeling of marine fish distribution: A guide to predictors, methods, and knowledge gaps. PLoS ONE, 16(5), e0251818. https://doi.org/10.1371/JOURNAL. PONE.0251818
Crossref
Google Scholar

Raquel, B., Montes, F., Rubio, A., & Osoro, K. (2007). Geostatistical Modelling of Air Temperature in a Mountainous Region of Northern Spain. Agricul¬tural and Forest Meteorology, 146(3–4), 173–88.
Crossref
Google Scholar

Royle, A. G. (1979). A practical introduction to geosta¬tistics. Department of Mining and Mineral Sciences, University of Leeds.
Google Scholar

Śliwicki, D. (2014). Application of nuclear estimators for estimating the effectiveness of active labour market programs. Acta Universitatis Nicolai Copernici (AUNC), Ekonomia, 45, 27–40. https://doi. org/10.12775/AUNC_ECON.2014.002
Crossref
Google Scholar

Taoufik, M., Laghlimi, M., & Fekri, A. (2021). Comparison of Land Surface Temperature Before, During and After the Covid 19 Lockdown Using Landsat Imagery: A Case Study of Casablanca City, Morocco. Geomatics and Environmental Engineering, 15(2), 105–120. https://doi.org/10.7494/geom.2021.15.2.105
Crossref
Google Scholar

Tarnowska P. (2024). Geostatyczne metody opracowania map na przykładzie temperatur w Afryce [Geostatical methods of map preparation on the example of tem¬perature distribution in Africa]. (Master’s thesis). University of Warmia and Mazury in Olsztyn.
Google Scholar

Tobler, W. (1970). A computer model simulating urban growth in Detroit region. Economic Geography, 46(1), 234–240.
Crossref
Google Scholar

Urbański, J. (2008). GIS w badaniach przyrodniczych [GIS in environmental research]. Wydawnictwo Uniwersytetu Gdańskiego.
Google Scholar

Vicente-Serrano, S., Saz-Sánchez, M., & Cuadrat, J. (2003). Comparative analysis of interpolation methods in the middle Ebro Valley (Spain): application to annual precipitation and temperature. Climate Research, 24, 161–180. https://doi.org/10.3354/cr024161
Crossref
Google Scholar