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Larger geologic
complexity implies
larger uncertainty
       Alessandro Samuel-Rosa, UFRRJ
    Ricardo Simão Diniz Dalmolin, UFSM
                   Pablo Miguel, UFSM


               Florianópolis, SC, Jul 11th 2012
Larger geologic complexity implies larger uncertainty
Alessandro Samuel-Rosa, Ricardo Simão Diniz Dalmolin & Pablo Miguel


  Tectonic setting                                               Deformation


                                GEOLOGIC
                               COMPLEXITY
                                      =
                            Distribution of faults
                              and lithological
  Sedimentation               boundaries as a
  patterns                   function of scale

                                                   79

   Igneous events                                 Au
                   Hodkiewicz (2003); Ford and Blenkinsop (2008); Ford and McCuaig (2010)
Larger geologic complexity implies larger uncertainty
Alessandro Samuel-Rosa, Ricardo Simão Diniz Dalmolin & Pablo Miguel


  Tectonic setting                                               Deformation


                                GEOLOGIC
                               COMPLEXITY
                                      =
                                Uncertainty
                                      =
  Sedimentation              Lack of knowledge
  patterns


                                                   ?
   Igneous events
                   Hodkiewicz (2003); Ford and Blenkinsop (2008); Ford and McCuaig (2010)
Larger geologic complexity implies larger uncertainty
Alessandro Samuel-Rosa, Ricardo Simão Diniz Dalmolin & Pablo Miguel




               147 – 478 m
Larger geologic complexity implies larger uncertainty
Alessandro Samuel-Rosa, Ricardo Simão Diniz Dalmolin & Pablo Miguel




                                                     Small complexity
                                                     (volcanic rocks)


                                                       Large complexity
                                                        (volcanic and
                                                         sedimentary)


                                                     Small complexity
                                                   (sedimentary rocks)
Larger geologic complexity implies larger uncertainty
Alessandro Samuel-Rosa, Ricardo Simão Diniz Dalmolin & Pablo Miguel


     - 339 sampling points (0 – 20 cm)
        - soil and land use survey (purposive sampling)

     - particle-size distribution
        - transformed to additive log-ratios

     - terrain attributes
         - 10 m DEM from topographic maps

     - multiple linear regression models
        - stepwise + repeated 10-fold cross-validation

     - R (packages stats, base and caret)

     - GRASS, QuantumGIS and SAGA GIS
Larger geologic complexity implies larger uncertainty
Alessandro Samuel-Rosa, Ricardo Simão Diniz Dalmolin & Pablo Miguel


   Table 1. Confusion matrix for the whole study area

                      Reference
  Prediction                                                User accuracy
                      Sedimentary        Volcanic

  Sedimentary         132                16                 0.8000

  Volcanic            33                 158                0.9080

  Mapper accuracy 0.8919                 0.8272

  Accuracy            0.8555 (95% CI: 0.8134 – 0.8911)

  NIR                 0.5133 (P-Value [Acc > NIR]: < 2e-16)

  Kappa               0.7099 (Mcnemar's Test P-Value: 0.02227)
Larger geologic complexity implies larger uncertainty
Alessandro Samuel-Rosa, Ricardo Simão Diniz Dalmolin & Pablo Miguel


   Table 2. Confusion matrix for the small complexity area

                      Reference
  Prediction                                                User accuracy
                      Sedimentary        Volcanic

  Sedimentary         95                 0                  1.0000

  Volcanic            0                  109                1.0000

  Mapper accuracy 1.0000                 1.0000

  Accuracy            1.0000 (95% CI: 0.9821 – 1.0000)

  NIR                 0.5343 (P-Value [Acc > NIR]: < 2.2e-16)

  Kappa               1.0000 (Mcnemar's Test P-Value: NA)
Larger geologic complexity implies larger uncertainty
Alessandro Samuel-Rosa, Ricardo Simão Diniz Dalmolin & Pablo Miguel


   Table 3. Confusion matrix for the large complexity area

                      Reference
  Prediction                                                User accuracy
                      Sedimentary        Volcanic

  Sedimentary         37                 16                 0.5286

  Volcanic            33                 49                 0.7538

  Mapper accuracy 0.6981                 0.5976

  Accuracy            0.6370 (95% CI: 0.5499 – 0.7180)

  NIR                 0.5185 (P-Value [Acc > NIR]: 0.003605)

  Kappa               0.2798 (Mcnemar's Test P-Value: 0.022271)
Larger geologic complexity implies larger uncertainty
Alessandro Samuel-Rosa, Ricardo Simão Diniz Dalmolin & Pablo Miguel


Table 4. Mean ± standard error of absolute prediction residuals

  Geologic
                      Clay (%)          Silt (%)            Sand (%)
  complexity
  Small               5.20 ± 0.31       6.79 ± 0.37         7.60 ± 0.44

  Large               5.19 ± 0.35       12.55 ± 0.67        15.80 ± 0.91


                         Kappa = 1.0000
                                                              60% of the
                                                               variance
                         Kappa = 0.2798

 ln(clay/sand) = – 1.0027474 + 0.0081838 ELEV – 0.0413414 SLOPE
                 – 0.9702653 WET – 0.0107230 CONV
          ln(silt/sand) = – 0.9136230 + 0.0090393 ELEV – 0.0278960 SLOPE
                          – 0.0151896 CONV – 0.9682048 WET
Larger geologic complexity implies larger uncertainty
Alessandro Samuel-Rosa, Ricardo Simão Diniz Dalmolin & Pablo Miguel




                                                     Small complexity




                                                        Large complexity



                                                   Small complexity
Larger geologic complexity implies larger uncertainty
Alessandro Samuel-Rosa, Ricardo Simão Diniz Dalmolin & Pablo Miguel




Geology
- Maciel Filho (1990)
- Sub-horizontal (5º)
- Uncertainty?


Elevation
- Brazilian Army
(1970s)
- Aerial photography
- Uncertainty?
Larger geologic complexity implies larger uncertainty
Alessandro Samuel-Rosa, Ricardo Simão Diniz Dalmolin & Pablo Miguel


                            Conclusions
    ●   Yes... we can build predictive models using terrain
        attributes (and other environmental co-variates)


    ●   However... large geologic complexity = large
        uncertainty = large prediction errors


    ●   Therefore... improving predictive models depends on
        improving geologic information available
Larger geologic complexity implies larger uncertainty
Alessandro Samuel-Rosa, Ricardo Simão Diniz Dalmolin & Pablo Miguel


                            Future work
    ●   What is the “required” level of accuracy of the prediction
        models?


    ●   Do the users of soil information understand “uncertainty”?
        Traditional soil maps “seem” to be very accurate!


    ●   Give an especial attention to the uncertainty of the
        environmental co-variates (know where we are going to
        “fail”)
Larger geologic
complexity implies
larger uncertainty
      alessandrosamuel@yahoo.com.br
                dalmolinrsd@gmail.com
             tchemiguel@yahoo.com.br


              Florianópolis, SC, Jul 11th 2012

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Geologic Complexity Impacts Uncertainty in Predictive Models

  • 1. Larger geologic complexity implies larger uncertainty Alessandro Samuel-Rosa, UFRRJ Ricardo Simão Diniz Dalmolin, UFSM Pablo Miguel, UFSM Florianópolis, SC, Jul 11th 2012
  • 2. Larger geologic complexity implies larger uncertainty Alessandro Samuel-Rosa, Ricardo Simão Diniz Dalmolin & Pablo Miguel Tectonic setting Deformation GEOLOGIC COMPLEXITY = Distribution of faults and lithological Sedimentation boundaries as a patterns function of scale 79 Igneous events Au Hodkiewicz (2003); Ford and Blenkinsop (2008); Ford and McCuaig (2010)
  • 3. Larger geologic complexity implies larger uncertainty Alessandro Samuel-Rosa, Ricardo Simão Diniz Dalmolin & Pablo Miguel Tectonic setting Deformation GEOLOGIC COMPLEXITY = Uncertainty = Sedimentation Lack of knowledge patterns ? Igneous events Hodkiewicz (2003); Ford and Blenkinsop (2008); Ford and McCuaig (2010)
  • 4. Larger geologic complexity implies larger uncertainty Alessandro Samuel-Rosa, Ricardo Simão Diniz Dalmolin & Pablo Miguel 147 – 478 m
  • 5. Larger geologic complexity implies larger uncertainty Alessandro Samuel-Rosa, Ricardo Simão Diniz Dalmolin & Pablo Miguel Small complexity (volcanic rocks) Large complexity (volcanic and sedimentary) Small complexity (sedimentary rocks)
  • 6. Larger geologic complexity implies larger uncertainty Alessandro Samuel-Rosa, Ricardo Simão Diniz Dalmolin & Pablo Miguel - 339 sampling points (0 – 20 cm) - soil and land use survey (purposive sampling) - particle-size distribution - transformed to additive log-ratios - terrain attributes - 10 m DEM from topographic maps - multiple linear regression models - stepwise + repeated 10-fold cross-validation - R (packages stats, base and caret) - GRASS, QuantumGIS and SAGA GIS
  • 7. Larger geologic complexity implies larger uncertainty Alessandro Samuel-Rosa, Ricardo Simão Diniz Dalmolin & Pablo Miguel Table 1. Confusion matrix for the whole study area Reference Prediction User accuracy Sedimentary Volcanic Sedimentary 132 16 0.8000 Volcanic 33 158 0.9080 Mapper accuracy 0.8919 0.8272 Accuracy 0.8555 (95% CI: 0.8134 – 0.8911) NIR 0.5133 (P-Value [Acc > NIR]: < 2e-16) Kappa 0.7099 (Mcnemar's Test P-Value: 0.02227)
  • 8. Larger geologic complexity implies larger uncertainty Alessandro Samuel-Rosa, Ricardo Simão Diniz Dalmolin & Pablo Miguel Table 2. Confusion matrix for the small complexity area Reference Prediction User accuracy Sedimentary Volcanic Sedimentary 95 0 1.0000 Volcanic 0 109 1.0000 Mapper accuracy 1.0000 1.0000 Accuracy 1.0000 (95% CI: 0.9821 – 1.0000) NIR 0.5343 (P-Value [Acc > NIR]: < 2.2e-16) Kappa 1.0000 (Mcnemar's Test P-Value: NA)
  • 9. Larger geologic complexity implies larger uncertainty Alessandro Samuel-Rosa, Ricardo Simão Diniz Dalmolin & Pablo Miguel Table 3. Confusion matrix for the large complexity area Reference Prediction User accuracy Sedimentary Volcanic Sedimentary 37 16 0.5286 Volcanic 33 49 0.7538 Mapper accuracy 0.6981 0.5976 Accuracy 0.6370 (95% CI: 0.5499 – 0.7180) NIR 0.5185 (P-Value [Acc > NIR]: 0.003605) Kappa 0.2798 (Mcnemar's Test P-Value: 0.022271)
  • 10. Larger geologic complexity implies larger uncertainty Alessandro Samuel-Rosa, Ricardo Simão Diniz Dalmolin & Pablo Miguel Table 4. Mean ± standard error of absolute prediction residuals Geologic Clay (%) Silt (%) Sand (%) complexity Small 5.20 ± 0.31 6.79 ± 0.37 7.60 ± 0.44 Large 5.19 ± 0.35 12.55 ± 0.67 15.80 ± 0.91 Kappa = 1.0000 60% of the variance Kappa = 0.2798 ln(clay/sand) = – 1.0027474 + 0.0081838 ELEV – 0.0413414 SLOPE – 0.9702653 WET – 0.0107230 CONV ln(silt/sand) = – 0.9136230 + 0.0090393 ELEV – 0.0278960 SLOPE – 0.0151896 CONV – 0.9682048 WET
  • 11. Larger geologic complexity implies larger uncertainty Alessandro Samuel-Rosa, Ricardo Simão Diniz Dalmolin & Pablo Miguel Small complexity Large complexity Small complexity
  • 12. Larger geologic complexity implies larger uncertainty Alessandro Samuel-Rosa, Ricardo Simão Diniz Dalmolin & Pablo Miguel Geology - Maciel Filho (1990) - Sub-horizontal (5º) - Uncertainty? Elevation - Brazilian Army (1970s) - Aerial photography - Uncertainty?
  • 13. Larger geologic complexity implies larger uncertainty Alessandro Samuel-Rosa, Ricardo Simão Diniz Dalmolin & Pablo Miguel Conclusions ● Yes... we can build predictive models using terrain attributes (and other environmental co-variates) ● However... large geologic complexity = large uncertainty = large prediction errors ● Therefore... improving predictive models depends on improving geologic information available
  • 14. Larger geologic complexity implies larger uncertainty Alessandro Samuel-Rosa, Ricardo Simão Diniz Dalmolin & Pablo Miguel Future work ● What is the “required” level of accuracy of the prediction models? ● Do the users of soil information understand “uncertainty”? Traditional soil maps “seem” to be very accurate! ● Give an especial attention to the uncertainty of the environmental co-variates (know where we are going to “fail”)
  • 15. Larger geologic complexity implies larger uncertainty alessandrosamuel@yahoo.com.br dalmolinrsd@gmail.com tchemiguel@yahoo.com.br Florianópolis, SC, Jul 11th 2012