Abstract
Extracting geochemical anomalies from geochemical exploration data is one of the most important activities in mineral exploration. Geochemical anomaly detection can be regarded as a binary classification problem. The similarity between geochemical samples can be measured by their distance. The key issue of this classification is to find the intrinsic relationship and distance between geochemical samples to separate geochemical anomalies from background. In this paper, a hybrid method that integrates random forest and metric learning (RFML) is used to identify geochemical anomalies related to Fe-polymetallic mineralization in Southwest Fujian Province of China. RFML does not require any specific statistical assumption on geochemical data, nor does it depend on sufficient known mineral occurrences as the prior knowledge. The geochemical anomaly map obtained by the RFML method showed that the known Fe deposits and the generated geochemical anomaly area have strong spatial association. Meanwhile, the receiver operating characteristic curves for the results of RFML and another method, namely maximum margin metric learning, indicated that the RFML method exhibited better performance, suggesting that RFML can be effectively applied to recognize geochemical anomalies.
Similar content being viewed by others
References
Baghshah, M. S., & Shouraki, S. B. (2010). Non-linear metric learning using pairwise similarity and dissimilarity constraints and the geometrical structure of data. Pattern Recognition, 43, 2982–2992.
Bar-Hillel, A., Hertz, T., Shental, N., & Weinshall, D. (2005). Learning a mahalanobis metric from equivalence constraints. Journal of Machine Learning Research, 6, 937–965.
Breiman, L. (1984). Classification and regression trees. Rubber Company.
Breiman, L. (1996). Bagging predictors. Machine Learning, 24, 123–140.
Breiman, L. (2001). Random forest. Machine Learning, 45, 5–32.
Cao, Q., Ying, Y., & Li, P. (2012). Distance metric learning revisited (pp. 283–298). Berlin: Springer.
Carranza, E. J. M. (2009). Geochemical anomaly and mineral prospectivity mapping in GIS. Handbook of exploration & environmental geochemistry (Vol. 11). Amsterdam: Elsevier.
Carranza, E. J. M. (2011). Analysis and mapping of geochemical anomalies using logratio-transformed stream sediment data with censored values. Journal of Geochemical Exploration, 110, 167–185.
Carranza, E. J. M., & Laborte, A. G. (2015a). Random forest predictive modeling of mineral prospectivity with small number of prospects and data with missing values in Abra (Philippines). Computers & Geosciences, 74, 60–70.
Carranza, E. J. M., & Laborte, A. G. (2015b). Data-driven predictive mapping of gold prospectivity, Baguio district, Philippines: Application of Random Forests algorithm. Ore Geology Reviews, 71, 777–787.
Carranza, E. J. M., & Laborte, A. G. (2016). Data-driven predictive modeling of mineral prospectivity using random forests: A case study in Catanduanes Island (Philippines). Natural Resources Research, 25, 35–50.
Chen, Y., & An, A. (2016). Application of ant colony algorithm to geochemical anomaly detection. Journal of Geochemical Exploration, 164, 75–85.
Chen, Y., & Wu, W. (2017). Application of one-class support vector machine to quickly identify multivariate anomalies from geochemical exploration data. Geochemistry: Exploration, Environment, Analysis, 17, 231–238.
Cheng, Q. (2007). Mapping singularities with stream sediment geochemical data for prediction of undiscovered mineral deposits in Gejiu, Yunnan Province, China. Ore Geology Reviews, 32, 314–324.
Cheng, Q., & Agterberg, F. P. (2009). Singularity analysis of ore-mineral and toxic trace elements in stream sediments. Computers & Geosciences, 35, 234–244.
Cheng, Q., Agterberg, F. P., & Ballantyne, S. B. (1994). The separation of geochemical anomalies from background by fractal methods. Journal of Geochemical Exploration, 51, 109–130.
Cheng, Q., Xu, Y., & Grunsky, E. (2000). Integrated spatial and spectrum method for geochemical anomaly separation. Natural Resources Research, 9, 43–52.
Cohen, D. R., Kelley, D. L., Anand, R., & Coker, W. B. (2010). Major advances in exploration geochemistry, 1998–2007. Geochemistry: Exploration, Environment, Analysis, 10, 3–16.
Dong, Y., Du, B., & Zhang, L. (2015a). Target detection based on random forest metric learning. IEEE Journal of Selected Topics in Applied Earth Observations & Remote Sensing, 8, 1830–1838.
Dong, Y., Du, B., Zhang, L., & Hu, X. (2018). Hyperspectral target detection via adaptive information-theoretic metric learning with local constraints. Remote Sensing, 10, 1415.
Dong, Y., Zhang, L., Zhang, L., & Du, B. (2015b). Maximum margin metric learning based target detection for hyperspectral images. ISPRS Journal of Photogrammetry & Remote Sensing, 108, 138–150.
Egozcue, J., Pawlowskyglahn, V., Mateufigueras, G., & Barcelóvidal, C. (2003). Isometric logratio transformations for compositional data analysis. Mathematical Geology, 35, 279–300.
Fabrigar, L., Wegener, D., MacCallum, R., & Strahan, E. (1999). Evaluating the use of exploratory factor analysis in psychological research. Psychological Methods, 4, 272.
Filzmoser, P., Hron, K., Reimann, C., & Garrett, R. (2009). Robust factor analysis for compositional data. Computers & Geosciences, 35, 1854–1861.
Franc, V., & Sonnenburg, S. (2009). Optimized cutting plane algorithm for large-scale risk minimization. Journal of Machine Learning Research, 10, 2157–2192.
Gao, Y., Zhang, Z., Xiong, Y., & Zuo, R. (2016). Mapping mineral prospectivity for Cu polymetallic mineralization in southwest Fujian Province, China. Ore Geology Reviews, 75, 16–28.
Ge, C., Han, F., Zhou, T., & Chen, D. (1981). Geological characteristics of the Makeng iron deposit of marine volcano-sedimentary origin. Acta Geosicientia Sinica, 3, 47–69. (In Chinese with English Abstract).
Gonbadi, A. M., Tabatabaei, S. H., & Carranza, E. J. M. (2015). Supervised geochemical anomaly detection by pattern recognition. Journal of Geochemical Exploration, 157, 81–91.
Grunsky, E. C. (2010). The interpretation of geochemical survey data. Geochemistry: Exploration, Environment, Analysis, 10, 27–74.
Hu, R., Bi, X., Jiang, G., Chen, H., Peng, J., Qi, Y., et al. (2012). Mantle-derived noble gases in ore-forming fluids of the granite-related Yaogangxian tungsten deposit, Southeastern China. Mineralium Deposita, 47, 623–632.
Kirkwood, C., Cave, M., Beamish, D., Grebby, S., & Ferreira, A. (2016). A machine learning approach to geochemical mapping. Journal of Geochemical Exploration, 167, 49–61.
Kohavi, R. (1995). A study of cross-validation and bootstrap for accuracy estimation and model selection. In Proceedings of the 14th international joint conference on artificial intelligence, Montreal, Canada (pp. 1137–1145).
Liaw, A., & Wiener, M. (2002). Classification and regression by random Forest. R News, 2, 18–22.
Mao, J., Pirajno, F., & Cook, N. (2011). Mesozoic metallogeny in East China and corresponding geodynamic settings-An introduction to the special issue. Ore Geology Reviews, 43, 1–7.
Mao, J., Tao, K., Xie, F., Xu, N., & Chen, S. (2001). Rock-forming and ore-forming processes and tectonic environments in Southwest Fujian. Acta Petrologica Et Mineralogica, 20, 329–336. (In Chinese with English abstract).
Parsa, M., Maghsoudi, A., & Yousefi, M. (2018). Spatial analyses of exploration evidence data to model skarn-type copper prospectivity in the Varzaghan district, NW Iran. Ore Geology Reviews, 92, 97–112.
Peng, J., Zhou, M., Hu, R., Shen, N., Yuan, S., et al. (2006). Precise molybdenite Re–Os and mica Ar–Ar dating of the Mesozoic Yaogangxian tungsten deposit, central Nanling district, South China. Mineralium Deposita, 41, 661–669.
Reimann, C., Filzmoser, P., & Garrett, R. G. (2002). Factor analysis applied to regional geochemical data: Problems and possibilities. Applied Geochemistry, 17, 185–206.
Rodriguez-Galiano, V., Sanchez-Castillo, M., Chica-Olmo, M., & Chica-Rivas, M. (2015). Machine learning predictive models for mineral prospectivity: An evaluation of neural networks, random forest, regression trees and support vector machines. Ore Geology Reviews, 71, 804–818.
Rose, A. W., Hawkes, H. E., & Webb, J. S. (1979). Geochemistry in mineral exploration (2nd ed.). London: Academic Press.
Roshanravan, B., Aghajani, H., Yousefi, M., & Kreuzer, O. (2018). An improved prediction-area plot for prospectivity analysis of mineral deposits. Natural Resources Research, 1–17.
Shu, L., Faure, M., Wang, B., Zhou, X., & Song, B. (2008). Late Palaeozoic-early Mesozoic geological features of South China: Response to the Indosinian collision events in Southeast Asia. Comptes Rendus Geoscience, 340, 151–165.
Singer, D. A., & Kouda, R. (2001). Some simple guides to finding useful information in exploration geochemical data. Natural Resources Research, 10, 137–147.
Tripathi, V. S. (1979). Factor analysis in geochemical exploration. Journal of Geochemical Exploration, 11, 263–275.
Wang, F. (2011). Semi-supervised metric learning by maximizing constraint margin. IEEE Transactions on Systems Man & Cybernetics, Part B (Cybernetics), 41, 931–939.
Wang, H., Cheng, Q., & Zuo, R. (2015a). Spatial characteristics of geochemical patterns related to Fe mineralization in the southwestern Fujian province (China). Journal of Geochemical Exploration, 148, 259–269.
Wang, Z., Dong, Y., & Zuo, R. (2019). Mapping geochemical anomalies related to Fe–polymetallic mineralization using the maximum margin metric learning method. Ore Geology Reviews, 107, 258–265.
Wang, S., Zhang, D., & Vatuva, A. (2015b). Zircon U–Pb geochronology, geochemistry and Hf isotope compositions and their implications of the Dayang and Juzhou Granite from Longyan Area in Fujian Province. Geochemica, 44, 440–468.
Wang, H., & Zuo, R. (2015). A comparative study of trend surface analysis and spectrum–area multifractal model to identify geochemical anomalies. Journal of Geochemical Exploration, 155, 84–90.
Wang, J., & Zuo, R. (2018). Identification of geochemical anomalies through combined sequential Gaussian simulation and grid-based local singularity analysis. Computers & Geosciences, 118, 52–64.
Wang, J., Zuo, R., & Caers, J. (2017). Discovering geochemical patterns by factor-based cluster analysis. Journal of Geochemical Exploration, 181, 106–115.
Wang, Z., Zuo, R., & Zhang, Z. (2015c). Spatial analysis of Fe deposits in Fujian Province, China: Implications for mineral exploration. Journal of Earth Science, 26, 813–820.
Wong, T. (2015). Performance evaluation of classification algorithms by k-fold and leave-one-out cross validation. Pattern Recognition, 48, 2839–2846.
Wu, G., Zhang, D., Chen, B., & Wu, J. (2000). Transformation of Mesozoic tectonic domain and its relation to mineralization in Southeastern China: An evidence of Southwestern Fujian Province. Earth Science, 25, 390–396. (In Chinese with English abstract).
Xie, X., Mu, X., & Ren, T. (1997). Geochemical mapping in China. Journal of Geochemical Exploration, 60, 99–113.
Xiong, C., Johnson, D. M., & Corso, J. J. (2012). Efficient max-margin metric learning. In 6th International workshop on evolution and change in data management (pp. 1–9).
Xiong, Y., & Zuo, R. (2016). Recognition of geochemical anomalies using a deep autoencoder network. Computers & Geosciences, 86, 75–82.
Xiong, Y., & Zuo, R. (2018). GIS-based rare events logistic regression for mineral prospectivity mapping. Computers & Geosciences, 111, 18–25.
Xiong, Y., Zuo, R., Wang, K., & Wang, J. (2018). Identification of geochemical anomalies via local RX anomaly detector. Journal of Geochemical Exploration, 189, 64–71.
Yan, H., Lu, J., Deng, W., & Zhou, X. (2014). Discriminative multimetric learning for kinship verification. IEEE Transactions on Information Forensics and Security, 9, 1169–1178.
Yousefi, M. (2017). Recognition of an enhanced multi-element geochemical signature of porphyry copper deposits for vectoring into mineralized zones and delimiting exploration targets in Jiroft area, SE Iran. Ore Geology Reviews, 83, 200–214.
Yousefi, M., & Carranza, E. J. M. (2015a). Fuzzification of continuous-value spatial evidence for mineral prospectivity mapping. Computers & Geosciences, 74, 97–109.
Yousefi, M., & Carranza, E. J. M. (2015b). Prediction–area (P–A) plot and C–A fractal analysis to classify and evaluate evidential maps for mineral prospectivity modeling. Computers & Geosciences, 79, 69–81.
Yousefi, M., & Carranza, E. J. M. (2016). Data-driven index overlay and Boolean logic mineral prospectivity modeling in greenfields exploration. Natural Resources Research, 25, 3–18.
Yousefi, M., Kamkar-Rouhani, A., & Carranza, E. J. M. (2012). Geochemical mineralization probability index (GMPI): A new approach to generate enhanced stream sediment geochemical evidential map for increasing probability of success in mineral potential mapping. Journal of Geochemical Exploration, 115, 24–35.
Zhang, Z., Cheng, Q., Yang, J., & Hu, X. (2018). Characterization and origin of granites from the Luoyang Fe deposit, southwestern Fujian Province, South China. Journal of Geochemical Exploration, 184, 119–135.
Zhang, D., Wu, G., Di, Y., Yu, X., Shi, Y., Zhang, X., et al. (2013). SHRIMP U–Pb zircon geochronology and Nd–Sr isotopic study of the Mamianshan Group: Implications for the Neoproterozoic tectonic development of southeast China. International Geology Review, 55, 730–748.
Zhang, Z., Zuo, R., & Cheng, Q. (2015a). The mineralization age of the Makeng Fe deposit, South China: Implications from U–Pb and Sm–Nd geochronology. International Journal of Earth Sciences, 104, 663–682.
Zhang, Z., Zuo, R., & Cheng, Q. (2015b). Geological features and formation processes of the Makeng F e Deposit, China. Resource Geology, 65, 266–284.
Zhang, Z., Zuo, R., & Xiong, Y. (2016). A comparative study of fuzzy weights of evidence and random forests for mapping mineral prospectivity for skarn-type Fe deposits in the southwestern Fujian metallogenic belt, China. Science China Earth Sciences, 59, 556–572.
Zuo, R. (2011). Identifying geochemical anomalies associated with Cu and Pb–Zn skarn mineralization using principal component analysis and spectrum-area fractal modeling in the Gangdese Belt, Tibet (China). Journal of Geochemical Exploration, 111, 13–22.
Zuo, R. (2017). Machine learning of mineralization-related geochemical anomalies: A review of potential methods. Natural Resources Research, 26, 457–464.
Zuo, R., Carranza, E. J. M., & Wang, J. (2016). Spatial analysis and visualization of exploration geochemical data. Earth-Science Reviews, 158, 9–18.
Zuo, R., Cheng, Q., Agterberg, F. P., & Xia, Q. (2009). Application of singularity mapping technique to identify local anomalies using stream sediment geochemical data, a case study from Gangdese, Tibet, western China. Journal of Geochemical Exploration, 101, 225–235.
Zuo, R., & Wang, J. (2016). Fractal/multifractal modeling of geochemical data: A review. Journal of Geochemical Exploration, 164, 33–41.
Zuo, R., Xia, Q., & Wang, H. (2013). Compositional data analysis in the study of integrated geochemical anomalies associated with mineralization. Applied Geochemistry, 28, 202–211.
Zuo, R., & Xiong, Y. (2018). Big data analytics of identifying geochemical anomalies supported by machine learning methods. Natural Resources Research, 27, 1–9.
Zuo, R., Zhang, Z., Zhang, D., Carranza, E. J. M., & Wang, H. (2015). Evaluation of uncertainty in mineral prospectivity mapping due to missing evidence: A case study with skarn-type Fe deposits in Southwestern Fujian Province, China. Ore Geology Reviews, 71, 502–515.
Acknowledgments
We thank Prof. John Carranza, Dr. M. Yousefi and an anonymous reviewer whose comments and suggestions helped us improve this study. This study was jointly supported by the National Natural Science Foundation of China (41772344, 61801444), the Natural Science Foundation of Hubei Province (China) (2017CFA053), the Hong Kong Scholars Program (XJ2018012), the Fundamental Research Funds for the Central Universities, China University of Geosciences (Wuhan) (CUG170687) and the Most Special Fund from the State Key Laboratory of Geological Processes and Mineral Resources, China University of Geosciences (MSFGPMR03-3).
Author information
Authors and Affiliations
Corresponding authors
Rights and permissions
About this article
Cite this article
Wang, Z., Zuo, R. & Dong, Y. Mapping Geochemical Anomalies Through Integrating Random Forest and Metric Learning Methods. Nat Resour Res 28, 1285–1298 (2019). https://doi.org/10.1007/s11053-019-09471-y
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11053-019-09471-y