Metodologia

O APbase usa métodos geoestatísticos clássicos no seu pipeline automático de mapeamento. Você consegue gerar mapas sem ler esta seção. Use-a quando quiser entender a matemática, ajustar um fluxo avançado ou ver por que um método venceu o outro.

O pipeline padrão compara o IDW e a krigagem ordinária com validação cruzada leave-one-out e usa o método com menor RMSE (raiz do erro quadrático médio) nos dados atuais. A cokrigagem aparece aqui como método avançado, para fluxos com variáveis secundárias selecionadas.

Referências

As entradas da bibliografia trazem DOI, editora ou links estáveis de catálogo quando disponíveis.

  1. Shepard, Donald (1968). A two-dimensional interpolation function for irregularly-spaced data. Proceedings of the 1968 23rd ACM National Conference, 517–524, ACM. doi:10.1145/800186.810616
  2. Matheron, Georges (1971). The Theory of Regionalized Variables and Its Applications. École des Mines de Paris. https://books.google.com/books/about/The_Theory_of_Regionalized_Variables_and.html?id=TGhGAAAAYAAJ
  3. Cressie, Noel A. C. (1993). Statistics for Spatial Data. Wiley. doi:10.1002/9781119115151
  4. Isaaks, Edward H.; Srivastava, R. Mohan (1989). An Introduction to Applied Geostatistics. Oxford University Press. https://global.oup.com/academic/product/an-introduction-to-applied-geostatistics-9780195050134
  5. Maldaner, Leonardo Felipe; Corrêdo, Lucas Pontara; Tavares, Tiago Rodrigues; Mendez, Luiz Guilherme; Duarte, Cassio; Molin, José Paulo (2018). Identifying and filtering out outliers in spatial datasets. Proceedings of the 14th International Conference on Precision Agriculture. https://www.researchgate.net/publication/326557441_Identifying_and_filtering_out_outliers_in_spatial_datasets
  6. Maldaner, Leonardo Felipe; Molin, José Paulo (2020). Data processing within rows for sugarcane yield mapping. Scientia Agricola, 77(5), e20200101. doi:10.1590/1678-992X-2018-0391
  7. Journel, A. G.; Huijbregts, C. J. (1978). Mining Geostatistics. Academic Press. https://books.google.com/books/about/Mining_Geostatistics.html?id=w5UZAQAAIAAJ
  8. Myers, Donald E. (1982). Matrix formulation of co-kriging. Mathematical Geology, 14(3), 249–257. doi:10.1007/BF01032887
  9. Goovaerts, Pierre (1997). Geostatistics for Natural Resources Evaluation. Oxford University Press. https://global.oup.com/academic/product/geostatistics-for-natural-resources-evaluation-9780195115383
  10. Wackernagel, Hans (2003). Multivariate Geostatistics. Springer. doi:10.1007/978-3-662-05294-5
  11. Goulard, Michel; Voltz, Marc (1992). Linear coregionalization model: tools for estimation and choice of cross-variogram matrix. Mathematical Geology, 24(3), 269–286. doi:10.1007/BF00893750
  12. Xu, Weiliang; Tran, Thanh T.; Srivastava, R. Mohan; Journel, André G. (1992). Integrating seismic data in reservoir modeling: the collocated cokriging alternative. SPE Annual Technical Conference and Exhibition. doi:10.2118/24742-MS
  13. Journel, André G. (1999). Markov models for cross-covariances. Mathematical Geology, 31(8), 955–964. doi:10.1023/A:1007553013388
  14. Chilès, Jean-Paul; Delfiner, Pierre (2012). Geostatistics: Modeling Spatial Uncertainty. Wiley. doi:10.1002/9781118136188
  15. Fisher, Ronald A. (1921). On the probable error of a coefficient of correlation deduced from a small sample. Metron, 1, 3–32. https://hdl.handle.net/2440/15169