1. G. Formetta, R. Rigon, A. Antonello, Silvia Franceschi, S. Endrizzi NewAge: something more than a common hydrological model 11July 2012 Ispra, Italy G. Formetta, O. David and R.Rigon Supervisor: R. Rigon

2. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 2 Outline Calibration Issues Rome 09 March 2011Trento 17 June 2011G. Formetta, Thanks to… *The supervisor always have to be thank Informatic Structure Hydrological Components Andrea Antonello Silvia Franceschi Olaf David Jim Aschough Stephanie Kampf Jose’ Chavez George Leavesley M.G. Villani Riccardo Rigon Developing the GIS JGrass Helping in running NewAge models under OMS3 console Providing me both datasets to test my models and a lot of suggestions to make they works Phd Supervisor* G. Formetta, O. David and R.Rigon, Ispra-11 July 2012 Yesterday informatic support

3. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 3 The good old Hydrological cycle All of us need to model it: at different scale ( basin, regional, global) for different aims ( floods, drougth, landslide forecasting) Motivation Outline Hydrological Component Calibration Issues Data Assimilation Trento 17 June 2011G. Formetta, Melbourne, 2011 July 07 G. Formetta, A. Bellin, R. Rigon G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

4. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 4 the definition of amount of prior information to solve the problem The choose of the aim and scale of investigation imply: DIFFERENT CLASS OF HYDROLOGICAL MODEL SOLVE DIFFERENT CLASS OF HYDROLOGICAL PROBLEM Which issues? and... Which model? Motivation Outline Hydrological Component Calibration Issues Data Assimilation Trento 17 June 2011G. Formetta,G. Formetta, A. Bellin, R. Rigon Melbourne, 2011 July 07 G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

5. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 5 Boussinesq Fully Coupled Subsurface- Surface Grid Based PeakFlow GIUH Peak floods So we propose different models GEOtop Fully distributed Grid based NewAge Large scale modelling Hillslope - Stream Anthropic Infrastructures Amount of information decreases in this direction Rome 09 March 2011Trento 17 June 2011G. Formetta, Motivation Outline Hydrological Component Calibration Issues Data Assimilation Melbourne, 2011 July 17 G. Formetta, A. Bellin, R. Rigon Melbourne, 2011 July 07 G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

6. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 6 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, 1) OMS3 simulation: - Air Temperature, Relative Humidity interpolation component - OMS3 console 2) OMS3 calibration algorithm components : - LUCA application for NewAge model - PSO application for NewAGE component 3) OMS3 multi-simulation: - Kriging application: Experimental semivariogram computation, theoretical semivariogram parameters estimate, Krigings application Example 2Example 3 G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

7. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 7 Outline Calibration Issues Rome 09 March 2011Trento 17 June 2011G. Formetta, Informatic Structure Hydrological Components Leipzig 05 July 2012G. Formetta, Jgrass-NewAge model: Each model is a OMS3 components Each model can be runned by DSL.sim file G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

8. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 8 Outline Calibration Issues Rome 09 March 2011Trento 17 June 2011G. Formetta, Informatic Structure Hydrological Components Leipzig 05 July 2012G. Formetta, ispraWS folder ISPRAoms3.prj.newage oms-3.1-console build build.xml Data Dist Lib Nbproject Output R_scripts Simulation src G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

9. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 9 Outline Calibration Issues Rome 09 March 2011Trento 17 June 2011G. Formetta, Informatic Structure Hydrological Components Leipzig 05 July 2012G. Formetta, Software we are going to use uDig 1.3.1+spatial toolbox: http://udig.refractions.net/ + http://code.google.com/p/jgrasstools/ R-project: http://www.r-project.org/ G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

10. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 10 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 An OMS3 simulation file

11. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 11 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 PART 1 Objectives: 1. Run JAMI OMS3 NewAge model component for air temperature interpolation; 2.Plot the interpolated variables and compare them with the measures G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

12. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 12 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 JAMI (Just Another Meteo Interpolator) How JAMI works… G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

13. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 13 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 JAMI (Just Another Meteo Interpolator) Split in altimetric band How JAMI works… G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

14. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 14 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 JAMI (Just Another Meteo Interpolator) How JAMI works… Split in altimetric band Look for the closer stations G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

15. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 15 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 JAMI (Just Another Meteo Interpolator) How JAMI works… Split in altimetric band Look for the closer stations Interpolate according to the variable and number of stations G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

16. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 16 1 2 3 4 Temperature Interpolation Outline Calibration Issues Data Assimilation MotivationHydrological Component Trento 17 June 2011G. Formetta, Melbourne, 2011 July 17 G. Formetta, A. Bellin, R. Rigon Melbourne, 2011 July 07 G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

17. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 17 Outline Calibration Issues Data Assimilation MotivationHydrological Component Trento 17 June 2011G. Formetta, Trento 24 June 2011 Interpolation Problem Validation Procedure Outline Calibration Issues Informatic Structure Hydrological Components 1) Start from a complete dataset Outline Conclusions Informatic Structure Hydrological Components Leipzig 05 July 2012G. Formetta,G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

18. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 18 Outline Calibration Issues Data Assimilation MotivationHydrological Component Trento 17 June 2011G. Formetta, Trento 24 June 2011 Interpolation Problem Validation Procedure Outline Calibration Issues Informatic Structure Hydrological Components 2) Remove some stations 1) Start from a complete dataset Outline Conclusions Informatic Structure Hydrological Components Leipzig 05 July 2012G. Formetta,G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

19. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 19 Outline Calibration Issues Data Assimilation MotivationHydrological Component Trento 17 June 2011G. Formetta, Trento 24 June 2011 Interpolation Problem Validation Procedure Outline Calibration Issues Informatic Structure Hydrological Components 3) Predict in the removed stations 2) Remove some stations 1) Start from a complete dataset Outline Conclusions Informatic Structure Hydrological Components Leipzig 05 July 2012G. Formetta,G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

20. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 20 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 JAMI (Just Another Meteo Interpolator) OMS3 Component Areas Reader Altmetry Reader Stations Reader Basin Reader Data Reader G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

21. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 21 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 NewAge runoff prodiction and routing components What energy and altimetry files are? Area file Altimetry file G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

22. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 22 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 JAMI (Just Another Meteo Interpolator) OMS3.sim file: components ISPRAoms3.prj.newage/simulation/Example1.sim G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

23. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 23 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 JAMI (Just Another Meteo Interpolator) OMS3.sim fileOMS3.sim file: parameters ISPRAoms3.prj.newage/simulation/Example1.sim G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

24. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 24 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 JAMI (Just Another Meteo Interpolator) OMS3.sim fileOMS3.sim file: connect ISPRAoms3.prj.newage/simulation/Example1.sim G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

25. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 25 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 JAMI (Just Another Meteo Interpolator) Results Visualization using R G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

26. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 26 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 JAMI (Just Another Meteo Interpolator) Applications: Little Washita River Basin, air temperature interpolation G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

27. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 27 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 PART 2 Objectives: 1. Run OMS3 NewAge Rainfall-Runoff model component for hourly time step discharge simulation; 2.OMS3 Automatic Calibration components (LUCA and PSO) overview; 3.Run PSO calibration component (DO NOT WAIT FOR THE RESULTS) G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

28. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 28 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 NewAge runoff prodiction and routing components G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

29. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 29 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 NewAge runoff prodiction and routing components Rinaldo, Geomorphic Flood Research, 2006 Hillslope-link partition of the basin For each hillslope they are estimated: mean rainfall mean radiation (exploiting some old idea by Ian Moore) mean evapotranspiration mean snow cover mean runoff production G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

30. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 Connected by a common key field important for the routing 30 Model setting Outline Calibration Issues Data Assimilation MotivationHydrological Component Input data: Jgrass-tools - Raster: DTM - Vectorial: hydrometers - Parameters Flow-directions Drain-directions Total Contributing Areas Markoutlet Hacklength Extract Network Hackstream NetNumbering Basin-shape Pfafstetter Basin splitted in hillslopes Network splitted in links Trento 17 June 2011G. Formetta, Melbourne, 2011 July 17 G. Formetta, A. Bellin, R. Rigon Melbourne, 2011 July 07 G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

31. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 31 Model setting Hillslope Features Basin splitted in hillslopes Outline Calibration Issues Data Assimilation MotivationHydrological Component Trento 17 June 2011G. Formetta, Melbourne, 2011 July 17 G. Formetta, A. Bellin, R. Rigon Melbourne, 2011 July 07 G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

32. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 32 Model setting Network splitted in links Links Features Outline Calibration Issues Data Assimilation MotivationHydrological Component Trento 17 June 2011G. Formetta, Melbourne, 2011 July 17 G. Formetta, A. Bellin, R. Rigon Melbourne, 2011 July 07 G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

33. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 33 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 NewAge runoff prodiction and routing components Lumped model Few parameters: only 5 Very fast ✔✗ Hymod-model for each hillslope G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

34. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 34 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 NewAge runoff prodiction and routing components G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

35. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 35 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 NewAge runoff prodiction and routing components G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

36. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 36 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 NewAge runoff production and routing components.sim file component ISPRAoms3.prj.newage/simulation/Example2_NewAge_LittleWashita.sim G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

37. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 37 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 NewAge runoff production and routing components.sim file component ISPRAoms3.prj.newage/simulation/Example2_NewAge_LittleWashita.sim G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

38. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 38 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 NewAge runoff production and routing components.sim file parameter(1/2) ISPRAoms3.prj.newage/simulation/Example2_NewAge_LittleWashita.sim G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

39. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 39 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 NewAge runoff production and routing components.sim file parameter(2/2) ISPRAoms3.prj.newage/simulation/Example2_NewAge_LittleWashita.sim G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

40. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 40 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 NewAge runoff production and routing components.sim file connect ISPRAoms3.prj.newage/simulation/Example2_NewAge_LittleWashita.sim G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

41. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 41 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 Model results visualization using R NewAge runoff prodiction and routing components ISPRAoms3.prj.newage/R_scripts/Example_2_1_NewAgeSimulation G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

42. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 42 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 Model results visualization using R NewAge runoff prodiction and routing components G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

43. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 43 Input data Model Model output Measured output Calibration Parameters Analisys Data Assimilation Motivation Outline Hydrological Component Calibration Issues Data Assimilation Rome 09 March 2011Trento 17 June 2011G. Formetta, Trento 23 Nov 2011G. Formetta,G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

44. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 44 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 Mono and Multi Objective Calibration 2) LUCA multiple calibration algorithm, Hay and Umemoto, 2006 1)Particle Swarm Optimization algorithm, Kennedy and Eberhart (1995), Eberhart and Shi (2001) G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

45. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 45 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 Mono and Multi Objective Calibration 2) Optimization Algorithm 1) Objectives Functions to optimize G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

46. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 46 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 Mono and Multi Objective Calibration 1) Objectives Functions to optimize: Nash-Sutcliffe Pbias RMSE KGE FHF FLF G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

47. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 47 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 Mono and Multi Objective Calibration 2) Optimization Algorithm: Particle Swarm Optimization G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

48. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 48 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 Mono and Multi Objective Calibration x y fitness min max search space Thanks to Swarm Intelligence Group Peking University G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

49. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 49 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 Mono and Multi Objective Calibration x y search space fitness min max Thanks to Swarm Intelligence Group Peking University G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

50. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 50 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 Mono and Multi Objective Calibration x y fitness min max search space Thanks to Swarm Intelligence Group Peking University G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

51. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 Mono and Multi Objective Calibration x y fitness min max search space Thanks to Swarm Intelligence Group Peking University G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

52. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 52 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 Mono and Multi Objective Calibration x y fitness min max search space Thanks to Swarm Intelligence Group Peking University G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

53. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 53 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 Mono and Multi Objective Calibration x y fitness min max search space Thanks to Swarm Intelligence Group Peking University G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

54. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 54 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 Mono and Multi Objective Calibration x y fitness min max search space Thanks to Swarm Intelligence Group Peking University G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

55. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 55 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 The file structure is different respect to a common.sim file: Particle Swarm calibration.sim file G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

56. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 56 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 The file structure is different respect to a common.sim file: - Model: here the model has to be calibrated Particle Swarm calibration.sim file G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

57. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 57 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 The file structure is different respect to a common.sim file: - Model: here the model has to be calibrated - PSO Parameters: here have to be assigned Particle Swarm calibration.sim file G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

58. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 58 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 The file structure is different respect to a common.sim file: - Model: here the model has to be calibrated - PSO Parameters: here have to be assigned - Model Parameters to optimize: here have to be assigned Particle Swarm calibration.sim file G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

59. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 59 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 The file structure is different respect to a common.sim file: - Model: here the model has to be calibrated - PSO Parameters: here have to be assigned - Model Parameters to optimize: here have to be assigned Particle Swarm calibration.sim file - Objective Function, Model output and measurements: here have to be assigned G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

60. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 60 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 Particle Swarm calibration of NewAge model.sim file: model definition (1/3) ISPRAoms3.prj.newage/simulation/Example2_NewAgeLittleWashita_PS.sim G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

61. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 61 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 Particle Swarm calibration of NewAge model.sim file: model definition (2/3) ISPRAoms3.prj.newage/simulation/Example2_NewAgeLittleWashita_PS.sim G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

62. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 62 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 Particle Swarm calibration of NewAge model.sim file: model definition (3/3) ISPRAoms3.prj.newage/simulation/Example2_NewAgeLittleWashita_PS.sim G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

63. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 63 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 Particle Swarm calibration of NewAge model.sim file: parameters and objective function ISPRAoms3.prj.newage/simulation/Example2_NewAgeLittleWashita_PS.sim G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

64. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 64 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 LUCA, Let Us CAlibrate Hay, L.E., Umemoto, M., (2006) Multiple-objective stepwise calibration using Luca: U.S. Geological Survey Open-File Report 2006-1323, 25p. Hay, L.E., Leavesley, G.H., Clark, M.P., Markstrom, S.L., Viger, R.J., and Umemoto, M. (2006). Step-wise, multiple-objective calibration of a hydrological model for a snowmelt-dominated basin. Journal of the American Water Resources Association. one or more steps execution(s) selection of parameters from a given distribution shuffled complex evelution SCE KEY-WORDS STEP(S) ROUND(S) G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

65. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 65 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 LUCA, Let Us CAlibrate G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

66. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 66 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 LUCA, Let Us CAlibrate G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

67. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 67 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 LUCA, Let Us CAlibrate 1) The calibration proceeds one step at a time. G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

68. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 68 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 LUCA, Let Us CAlibrate 1) The calibration proceeds one step at a time. 2) After completing a step, the calibrated values of the parameters passed into the next step. G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

69. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 69 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 LUCA, Let Us CAlibrate 1) The calibration proceeds one step at a time. 2) After completing a step, the calibrated values of the parameters passed into the next step. 3) This is repeated until all steps are executed G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

70. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 70 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 LUCA, Let Us CAlibrate 1) The calibration proceeds one step at a time. 2) After completing a step, the calibrated values of the parameters passed into the next step. 3) This is repeated until all steps are executed 4) All the n steps are repeated #R G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

71. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 71 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 LUCA, Let Us Calibrate.sim file The file structure is different respect to a common.sim file: G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

72. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 72 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 LUCA, Let Us Calibrate.sim file The file structure is different respect to a common.sim file: - Model: here the model has to be calibrated G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

73. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 73 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 LUCA, Let Us Calibrate.sim file The file structure is different respect to a common.sim file: - Model: here the model has to be calibrated - LUCA Parameters: here have to be assigned G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

74. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 74 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 LUCA, Let Us Calibrate.sim file The file structure is different respect to a common.sim file: - Model: here the model has to be calibrated - LUCA Parameters: here have to be assigned - Model Parameters to optimize: here have to be assigned - Objective Function, Model output and measurements: here have to be assigned G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

75. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 75 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 PART 3 Objectives: 1.OMS3 Variogram, VGM and Kriging components; 2.Run multi-simulation connecting different OMS3 components (Variogram, PSO-VGM, Kriging) and validate by comparing with Gstat R-project library 3.Rainfall spatialization and validation with measurement data G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

76. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 76 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 OMS3 Geostatic Interpolation Components Experimental semivariogram estimate Theoretical semivariogram estimate Kriging application Time Loop G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

77. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 77 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 OMS3 Geostatic Interpolation Components Experimental semivariogram estimate: Variogram OMS3 component The experimental semivariogram, measurement of statistical correlation as a function of distance, is computed by considering the di ff erence between observations separated by a distance h Thanks to prof. Makkawi G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

78. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 78 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 OMS3 Geostatic Interpolation Components Experimental semivariogram estimate: Variogram OMS3 component G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

79. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 79 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 OMS3 Geostatic Interpolation Components Theoretical semivariogram estimate: Vgm OMS3 component Prediction of the spatial process at unsampled locations by techniques such as ordinary kriging requires a theoretical semivariogram or covariance The theoretical variogram based on the sample variogram and it will be used in the kriging algorithms to compute the weigths G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

80. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 80 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 OMS3 Geostatic Interpolation Components Theoretical semivariogram estimate: Vgm OMS3 component G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

81. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 81 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 OMS3 Geostatic Interpolation Components The Kriging OMS3 component G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

82. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 82 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 OMS3 Geostatic Interpolation Components Linking Variogram, Vgm and Kriging in a.sim file G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

83. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 83 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 OMS3 Geostatic Interpolation Components Linking Variogram, Vgm and Kriging in a.sim file G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

84. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 84 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 OMS3 Geostatic Interpolation Components Linking Variogram, Vgm and Kriging in a.sim file G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

85. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 85 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 OMS3 Geostatic Interpolation Components Linking Variogram, Vgm and Kriging in a.sim file G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

86. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 86 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 OMS3 Geostatic Interpolation Components Linking Variogram, Vgm and Kriging in a.sim file: Gstat Jura dataset application G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

87. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 87 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 OMS3 Geostatic Interpolation Components Linking Variogram, Vgm and Kriging in a.sim file: Gstat Jura dataset application Measurement stations G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

88. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 88 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 OMS3 Geostatic Interpolation Components Linking Variogram, Vgm and Kriging in a.sim file: Gstat Jura dataset application Measurement stations Points in which interpolate G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

89. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 89 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 OMS3 Geostatic Interpolation Components Linking Variogram, Vgm and Kriging in a.sim file: Gstat Jura dataset application. O.K. comparison with R-Gstat package ISPRAoms3.prj.newage/simulation/Example3_1.sim G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

90. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 90 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 OMS3 Geostatic Interpolation Components ISPRAoms3.prj.newage/simulation/Example3_1.sim Linking Variogram, Vgm and Kriging in a.sim file: Gstat Jura dataset application. O.K. comparison with R-Gstat package G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

91. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 91 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 OMS3 Geostatic Interpolation Components ISPRAoms3.prj.newage/simulation/Example3_1.sim Linking Variogram, Vgm and Kriging in a.sim file: Gstat Jura dataset application. O.K. comparison with R-Gstat package G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

92. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 92 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 OMS3 Geostatic Interpolation Components /ISPRAoms3.prj.newage/R_scripts/Example3_results_visualization.R Linking Variogram, Vgm and Kriging in a.sim file: Gstat Jura dataset application. O.K. comparison with R-Gstat package G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

93. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 93 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 OMS3 Geostatic Interpolation Components /ISPRAoms3.prj.newage/R_scripts/Example3_results_visualization.R Linking Variogram, Vgm and Kriging in a.sim file: Gstat Jura dataset application. O.K. comparison with R-Gstat package G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

94. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 94 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 OMS3 Geostatic Interpolation Components /ISPRAoms3.prj.newage/R_scripts/Example3_results_visualization.R Linking Variogram, Vgm and Kriging in a.sim file: Gstat Jura dataset application. Fit.variogram comparison with R-Gstat package G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

95. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 95 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 OMS3 Geostatic Interpolation Components /ISPRAoms3.prj.newage/R_scripts/Example3_results_visualization.R Linking Variogram, Vgm and Kriging in a.sim file: Gstat Jura dataset application. Fit.variogram comparison with R-Gstat package G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

96. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 96 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 OMS3 Geostatic Interpolation Components Linking Variogram, Vgm and Kriging in a.sim file: Gstat Jura dataset application. O.K. with neighbours comparison with R-Gstat package ISPRAoms3.prj.newage/simulation/Example3_2.sim G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

97. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 97 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 OMS3 Geostatic Interpolation Components Linking Variogram, Vgm and Kriging in a.sim file: Gstat Jura dataset application. O.K. with neighbours comparison with R-Gstat package ISPRAoms3.prj.newage/simulation/Example3_2.sim G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

98. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 98 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 OMS3 Geostatic Interpolation Components Linking Variogram, Vgm and Kriging in a.sim file: Gstat Jura dataset application. O.K. with neighbours comparison with R-Gstat package ISPRAoms3.prj.newage/simulation/Example3_2.sim G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

99. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 99 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 OMS3 Geostatic Interpolation Components Linking Variogram, Vgm and Kriging in a.sim file: Gstat Jura dataset application. O.K. with neighbours comparison with R-Gstat package /ISPRAoms3.prj.newage/R_scripts/Example3_results_visualization.R G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

100. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 100 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 OMS3 Geostatic Interpolation Components Linking Variogram, Vgm and Kriging in a.sim file: Gstat Jura dataset application. O.K. with neighbours comparison with R-Gstat package /ISPRAoms3.prj.newage/R_scripts/Example3_results_visualization.R G. Formetta, O. David and R.Rigon, Ispra-11 July 2012

101. Formetta et al., CAHMDA IV Lhasa 2010 - July 21-23 101 Motivation Outline Example 1 Conclusions Ispra - 24 June 2011 O. David, G. Formetta and R.Rigon, Example 2Example 3 OMS3 Geostatic Interpolation Components Linking Variogram, Vgm and Kriging in a.sim file: LW rainfall application. O.K. with neighbours providing interpolated raster map /ISPRAoms3.prj.newage/R_scripts/Example3_results_visualization.R G. Formetta, O. David and R.Rigon, Ispra-11 July 2012