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A new tool in to calibrate
Rothermel fire behavior fuel models by
genetic algorithm optimization
Medfirelab 13 December 2016, Rome, Italy
Università di Napoli
Federico II
Davide Ascoli
Università
di Torino
Giovanni Bovio
JRC EC
Unit D1 Bioeconomy
Giorgio Vacchiano
ROS =
IR
ξ (1+Φw+Φs)
ρb є Qig
Introduction
Medwildfirelab - Global Change Impacts on Wildland Fire
Behaviour and Uses in Mediterranean Forest Ecosystems
Rome, Italy
13 Dec, 2016
Davide Ascoli
dascoli7@gmail.com
The Rothermel model
BehavePlus Farsite
Flammap
Wildfire Analyst
Forest Vegetation
Simulator
ArcFuels
Rothermel
model
Introduction
Medwildfirelab - Global Change Impacts on Wildland Fire
Behaviour and Uses in Mediterranean Forest Ecosystems
Rome, Italy
13 Dec, 2016
Davide Ascoli
dascoli7@gmail.com
The Rothermel model
Fuel moisture Wind speed Slope
Load SA/V
Heat
content
Fuel
depth
Moist
extinction
Min
Max
ROS =
IR ξ (1+Φw+Φs)
ρb є Qig
Introduction
The fuel model concept
The fuel model concept
Albini 1976
Estimating wildfire behavior
and effects INT-GTR-30
Scott & Burgan 2005
Standard fire behavior fuel models: a
comprehensive set for use with
Rothermel’s fire spread model
RMRS-GTR-153
13 40
Load SA/V
Heat
content
Fuel
depth
Moist
extinction
Min
Standard fuel models
Max
Introduction
? ? ? ? ?
PredictedROS
Observed ROSScott & Burgan 2005
Grass-Shrub – GS3
Introduction
Load SA/V
Heat
content
Fuel
depth
Moist
extinction
Min
Max
 
Custom fuel models
PredictedROS
Observed ROS
Load SA/V
Heat
content
Fuel
depth
Moist
extinction
Min
Max
Scott & Burgan 2005
Grass-Shrub – GS3
Custom fuel models
 
Introduction
Fuel inventory
Load SA/V
Heat
content
Fuel
depth
Moist
extinction
Min
Max
PredictedROS
Observed ROS
 
Introduction
average
Custom fuel models
Subjective calibration
Load SA/V
Heat
content
Fuel
depth
Moist
extinction
Min
Max
Introduction
 
PredictedROS
Observed ROS
average
Shortcomings
- Not reproducible
- Time consuming
- Not easy to guess what …
Fuel inventory OK fitness
Mathematical optimization
Load SA/V
Heat
content
Fuel
depth
Moist
extinction
Min
Max
Smallest RMSE
PredictedROS
Observed ROS
"Backtracking calibration procedure which
systematically calculates several possible
solutions from a set of input combinations…

…The criterion for the best prediction is the
smallest root mean square error (RMSE)"
Introduction
Introduction
Heathland fuel model
Scotland
ItalyGermany
How to calibrate a
custom fuel model to
plan prescribed burning
in European heathlands?
Photo: Held A.
Introduction
Genetic algorithms
Load SA/V
Heat
content
Fuel
depth
Moist
extinction
Min
Max
Genetic algorithms
set 1
set 2
set N
Random
sampling
set 1
set 2
set 3
Initial population
parameters sets
Pop. size N = 3
Fitness evaluation
The model is run with each parameter set.
Fitness (e.g., RMSE) between ROS
predictions and observations is computed.
Sets are ranked by their fitness
High fitness
Medium fitness
Low fitness
RMSE
set 2
set 1
set 3
Introduction
Selection
Parameter sets are
sampled according to a
probability proportional
to their ranking
set 1
set 2
set 2
Introduction
Load SA/V
Heat
content
Fuel
depth
Moist
extinction
Min
Max
Genetic algorithms
Fitness evaluation
The model is run with each parameter set.
Fitness (e.g., RMSE) between predictions
and observations is computed.
Sets are ranked by their fitness
High fitness
Medium fitness
Low fitness
RMSE
set 2
set 1
set 3
Introduction
Selection
Parameter sets are
sampled according to a
probability proportional
to their ranking
set 1
set 2
set 2
Introduction
Load SA/V
Heat
content
Fuel
depth
Moist
extinction
Min
Max
Genetic algorithms
Introduction
Crossing over
Sets are randomly
selected in pairs.
Parameters are
swapped
set 1.1
set 2
set 2.1
Load SA/V
Heat
content
Fuel
depth
Moist
extinction
Min
Max
Mutation
Sets are randomly
selected. Parameters
are randomly resampled
from the initial range
set 1.1
set 2.1
set 2.1.1
Introduction
Crossing over
Sets are randomly
selected in pairs.
Parameters are
swapped
set 1.1
set 2
set 2.1
Genetic algorithms
Introduction
Mutation
Sets are randomly
selected. Parameters
are randomly resampled
from the initial range
set 1.1
set 2.1
set 2.1.1
New generations until …
Minimum fitness threshold, or
Fixed number of iterations reached, or
Fixed number of iterations reached
without fitness improvement
Load SA/V
Heat
content
Fuel
depth
Moist
extinction
Min
Max
Introduction
Genetic algorithms
Introduction
Iterations
RMSE
Introduction
How to do that?...
5
Vacchiano & Ascoli 2014
An Implementation
of the Rothermel Fire Spread Model
in the R Programming Language
Fire Technology
Uncertainty analysis
The Rothermel Package for R
Introduction
CRAN
+ Rothermel model 1972 (imperial units)
after Albini (1976); dynamic fuel transfer; no wind speed limit
+ Package Functions
Vacchiano & Ascoli 2014
An Implementation
of the Rothermel Fire Spread Model
in the R Programming Language
Fire Technology
RMSE
Uncertainty analysis
The Rothermel Package for R
Introduction
CRAN
+ Rothermel model 1972 (imperial units)
after Albini (1976); dynamic fuel transfer; no wind speed limit
+ Package Functions
Best standard FM
Vacchiano & Ascoli 2014
An Implementation
of the Rothermel Fire Spread Model
in the R Programming Language
Fire Technology
Ascoli et al. 2015
Building Rothermel fire behaviour fuel
models by genetic algorithm optimisation
International Journal of Wildland Fire
RMSE
Uncertainty analysis
The Rothermel Package for R
Introduction
CRAN
+ Rothermel model 1972 (imperial units)
after Albini (1976); dynamic fuel transfer; no wind speed limit
+ Package Functions
Best standard FM
GA-Roth
Introduction
GA-Roth settings
+ Population size = 50 + Crossing over prob. = 0.8+ Mutation prob. = 0.1 + Number generations = 50+ Computation time = 52 seconds - IntelCorei5, RAM8Gb
Ascoli et al. 2015
(1) Test if optimization by Genetic Algorithms (GA) improves the
accuracy of previously published custom fuel models
calibrated using other methods
(2) Use GA to calibrate a fuel model for heathlands (GA-heath),
using fuel, weather, and fire behaviour data measured
under experimental conditions
(3) Evaluate the performance of GA-heath against
standard fuel models and a custom fuel model built using
average heath fuels characteristics
Introduction
Objectives
Wind
direction
Wind
speed
Load SA/V HeatDepth Mx
Max
Min
Methods
Objective 1: GA vs. published custom fuel models
(i) a dataset of observed ROS
(ii) measures of wind speed, slope, fuel moisture for each ROS
(iii) a dataset of inventory / laboratory fuel characteristics
(iv) a custom fuel model calibrated using observed ROS
We searched for studies with …
ROS
ROS
ROS
Fuel Type LITTER GRASS SHRUB
Selected
studies
Grabner et al. 1997
Grabner et al. 2001
Sneeuwjagt 1974
Sneeuwjagt et al. 1977
van Wilgen 1984
van Wilgen et al. 1985
Fitness
Statistics
Pub. GA Pub. GA Pub. GA
RMSE
(m min-1)
5.0 3.0 5.4 4.3 7.2 5.5
MAE
(m min-1)
3.9 2.0 4.1 2.9 6.2 4.3
MAPE
(%)
128 54 252 126 30 20
MBE
(m min-1)
3.2 0.1 2.7 0.6 2.1 -0.4
Results
Objective 1: GA vs. published custom fuel models
Methods
Objective 2: GA-heath model calibration
(i) we created a dataset of observed ROS
We carried out 9 fire experiments …
Exp. 7
25-50 m
50-80 m
40 ROS
1 - 26 m min-1
Methods
Objective 2: GA-heath model calibration
(i) we created a dataset of observed ROS (Simard et al. 1984)
We carried out 9 fire experiments …
25-50 m
50-80 m
ROS ROS
ROS ROS
ROS ROS
Wind
direction
Wind
speed
Load SA/V HeatDepth Mx
Max
Min
Methods
Objective 2: GA-heath model calibration
(i) 40 ROS: 20 calibration + 20 validation dataset
(ii) measures of fuel moisture, wind speed, slope for each ROS
(iii) a dataset of inventory / laboratory fuel characteristics
(iv) we used GA-Roth function to calibrate a custom fuel model
We carried out 9 fire experiments …
Results
Objective 2: GA-heath model calibration
Fitness
Statistics Cal. Val.
RMSE
(m min-1)
1.7 1.8
MAE
(m min-1)
1.3 1.4
MAPE
(%)
20 32
MBE
(m min-1)
0.1 0.5
Observed rate of spread (m/min)
Predictedrateofspread(m/min)
RMSE
Methods
Objective 3: Validation: GA-heath, standard, custom-aver
1) Standard fuel model selection: grass-shrub (GS) group
Rothermel
Package
Function
Best standard FM
GS3
2) Custom fuel model* using average inventoried fuels (custom-aver)
Load SA/V
Heat
content
Fuel
depth
Moist
extinction
Min
Max
average
*Vacchiano
et al. 2014
Calibrating and
testing FVS…
Forest Science
Results
Objective 3: Validation: GA-heath, standard, custom-aver
GA optimization
reduced underprediction
Results
Objective 3: GA-heath vs. custom-average
Conclusions
Improvements to the state of art
 Optimization by Genetic Algorithms (GA) improved the
accuracy of previously published custom fuel models
 GA explores a continuous search space, is reproducible,
is computational effective, not require fuel inventory (min-max)
 Is a viable method to calibrate custom fuel models and
could be implemented in fire modelling systems
 To test GA optimization, we designed the GA-Roth ( ) function
in the Rothermel Package for R
Medwildfirelab - Global Change Impacts on Wildland Fire
Behaviour and Uses in Mediterranean Forest Ecosystems
Rome, Italy
13 Dec, 2016
Davide Ascoli
dascoli7@gmail.com
Conclusions
CRAN
+ Rothermel Package for R downloads in 2015-2016
Vacchiano & Ascoli 2014
An Implementation
of the Rothermel Fire Spread Model
in the R Programming Language
Fire Technology
Numberofdownloads
20
Jan 2015 Apr 2015 Jul 2015 Oct 2015
10
30
0
Applications…
Conclusions
Applications…
Medwildfirelab - Global Change Impacts on Wildland Fire
Behaviour and Uses in Mediterranean Forest Ecosystems
Rome, Italy
13 Dec, 2016
Davide Ascoli
dascoli7@gmail.com
UTAD
UNINA CSIRO
MEA
Conclusions
Applications…
Medwildfirelab - Global Change Impacts on Wildland Fire
Behaviour and Uses in Mediterranean Forest Ecosystems
Rome, Italy
13 Dec, 2016
Davide Ascoli
dascoli7@gmail.com
…take a breath
THANKS
FOR THE ATTENTION
Medwildfirelab - Global Change Impacts on Wildland Fire
Behaviour and Uses in Mediterranean Forest Ecosystems
Rome, Italy
13 Dec, 2016
Davide Ascoli
dascoli7@gmail.com
View publication statsView publication stats

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Ascoli et al. 2016

  • 1. A new tool in to calibrate Rothermel fire behavior fuel models by genetic algorithm optimization Medfirelab 13 December 2016, Rome, Italy Università di Napoli Federico II Davide Ascoli Università di Torino Giovanni Bovio JRC EC Unit D1 Bioeconomy Giorgio Vacchiano
  • 2. ROS = IR ξ (1+Φw+Φs) ρb є Qig Introduction Medwildfirelab - Global Change Impacts on Wildland Fire Behaviour and Uses in Mediterranean Forest Ecosystems Rome, Italy 13 Dec, 2016 Davide Ascoli dascoli7@gmail.com The Rothermel model
  • 3. BehavePlus Farsite Flammap Wildfire Analyst Forest Vegetation Simulator ArcFuels Rothermel model Introduction Medwildfirelab - Global Change Impacts on Wildland Fire Behaviour and Uses in Mediterranean Forest Ecosystems Rome, Italy 13 Dec, 2016 Davide Ascoli dascoli7@gmail.com The Rothermel model
  • 4. Fuel moisture Wind speed Slope Load SA/V Heat content Fuel depth Moist extinction Min Max ROS = IR ξ (1+Φw+Φs) ρb є Qig Introduction The fuel model concept
  • 5. The fuel model concept Albini 1976 Estimating wildfire behavior and effects INT-GTR-30 Scott & Burgan 2005 Standard fire behavior fuel models: a comprehensive set for use with Rothermel’s fire spread model RMRS-GTR-153 13 40 Load SA/V Heat content Fuel depth Moist extinction Min Standard fuel models Max Introduction ? ? ? ? ?
  • 6. PredictedROS Observed ROSScott & Burgan 2005 Grass-Shrub – GS3 Introduction Load SA/V Heat content Fuel depth Moist extinction Min Max   Custom fuel models
  • 7. PredictedROS Observed ROS Load SA/V Heat content Fuel depth Moist extinction Min Max Scott & Burgan 2005 Grass-Shrub – GS3 Custom fuel models   Introduction
  • 9. Subjective calibration Load SA/V Heat content Fuel depth Moist extinction Min Max Introduction   PredictedROS Observed ROS average Shortcomings - Not reproducible - Time consuming - Not easy to guess what … Fuel inventory OK fitness
  • 10. Mathematical optimization Load SA/V Heat content Fuel depth Moist extinction Min Max Smallest RMSE PredictedROS Observed ROS "Backtracking calibration procedure which systematically calculates several possible solutions from a set of input combinations…  …The criterion for the best prediction is the smallest root mean square error (RMSE)" Introduction
  • 11. Introduction Heathland fuel model Scotland ItalyGermany How to calibrate a custom fuel model to plan prescribed burning in European heathlands? Photo: Held A.
  • 13. Load SA/V Heat content Fuel depth Moist extinction Min Max Genetic algorithms set 1 set 2 set N Random sampling set 1 set 2 set 3 Initial population parameters sets Pop. size N = 3 Fitness evaluation The model is run with each parameter set. Fitness (e.g., RMSE) between ROS predictions and observations is computed. Sets are ranked by their fitness High fitness Medium fitness Low fitness RMSE set 2 set 1 set 3 Introduction
  • 14. Selection Parameter sets are sampled according to a probability proportional to their ranking set 1 set 2 set 2 Introduction Load SA/V Heat content Fuel depth Moist extinction Min Max Genetic algorithms Fitness evaluation The model is run with each parameter set. Fitness (e.g., RMSE) between predictions and observations is computed. Sets are ranked by their fitness High fitness Medium fitness Low fitness RMSE set 2 set 1 set 3 Introduction
  • 15. Selection Parameter sets are sampled according to a probability proportional to their ranking set 1 set 2 set 2 Introduction Load SA/V Heat content Fuel depth Moist extinction Min Max Genetic algorithms Introduction Crossing over Sets are randomly selected in pairs. Parameters are swapped set 1.1 set 2 set 2.1
  • 16. Load SA/V Heat content Fuel depth Moist extinction Min Max Mutation Sets are randomly selected. Parameters are randomly resampled from the initial range set 1.1 set 2.1 set 2.1.1 Introduction Crossing over Sets are randomly selected in pairs. Parameters are swapped set 1.1 set 2 set 2.1 Genetic algorithms Introduction
  • 17. Mutation Sets are randomly selected. Parameters are randomly resampled from the initial range set 1.1 set 2.1 set 2.1.1 New generations until … Minimum fitness threshold, or Fixed number of iterations reached, or Fixed number of iterations reached without fitness improvement Load SA/V Heat content Fuel depth Moist extinction Min Max Introduction Genetic algorithms Introduction Iterations RMSE
  • 19. Vacchiano & Ascoli 2014 An Implementation of the Rothermel Fire Spread Model in the R Programming Language Fire Technology Uncertainty analysis The Rothermel Package for R Introduction CRAN + Rothermel model 1972 (imperial units) after Albini (1976); dynamic fuel transfer; no wind speed limit + Package Functions
  • 20. Vacchiano & Ascoli 2014 An Implementation of the Rothermel Fire Spread Model in the R Programming Language Fire Technology RMSE Uncertainty analysis The Rothermel Package for R Introduction CRAN + Rothermel model 1972 (imperial units) after Albini (1976); dynamic fuel transfer; no wind speed limit + Package Functions Best standard FM
  • 21. Vacchiano & Ascoli 2014 An Implementation of the Rothermel Fire Spread Model in the R Programming Language Fire Technology Ascoli et al. 2015 Building Rothermel fire behaviour fuel models by genetic algorithm optimisation International Journal of Wildland Fire RMSE Uncertainty analysis The Rothermel Package for R Introduction CRAN + Rothermel model 1972 (imperial units) after Albini (1976); dynamic fuel transfer; no wind speed limit + Package Functions Best standard FM GA-Roth
  • 22. Introduction GA-Roth settings + Population size = 50 + Crossing over prob. = 0.8+ Mutation prob. = 0.1 + Number generations = 50+ Computation time = 52 seconds - IntelCorei5, RAM8Gb Ascoli et al. 2015
  • 23. (1) Test if optimization by Genetic Algorithms (GA) improves the accuracy of previously published custom fuel models calibrated using other methods (2) Use GA to calibrate a fuel model for heathlands (GA-heath), using fuel, weather, and fire behaviour data measured under experimental conditions (3) Evaluate the performance of GA-heath against standard fuel models and a custom fuel model built using average heath fuels characteristics Introduction Objectives
  • 24. Wind direction Wind speed Load SA/V HeatDepth Mx Max Min Methods Objective 1: GA vs. published custom fuel models (i) a dataset of observed ROS (ii) measures of wind speed, slope, fuel moisture for each ROS (iii) a dataset of inventory / laboratory fuel characteristics (iv) a custom fuel model calibrated using observed ROS We searched for studies with … ROS ROS ROS
  • 25. Fuel Type LITTER GRASS SHRUB Selected studies Grabner et al. 1997 Grabner et al. 2001 Sneeuwjagt 1974 Sneeuwjagt et al. 1977 van Wilgen 1984 van Wilgen et al. 1985 Fitness Statistics Pub. GA Pub. GA Pub. GA RMSE (m min-1) 5.0 3.0 5.4 4.3 7.2 5.5 MAE (m min-1) 3.9 2.0 4.1 2.9 6.2 4.3 MAPE (%) 128 54 252 126 30 20 MBE (m min-1) 3.2 0.1 2.7 0.6 2.1 -0.4 Results Objective 1: GA vs. published custom fuel models
  • 26. Methods Objective 2: GA-heath model calibration (i) we created a dataset of observed ROS We carried out 9 fire experiments … Exp. 7 25-50 m 50-80 m
  • 27. 40 ROS 1 - 26 m min-1 Methods Objective 2: GA-heath model calibration (i) we created a dataset of observed ROS (Simard et al. 1984) We carried out 9 fire experiments … 25-50 m 50-80 m ROS ROS ROS ROS ROS ROS
  • 28. Wind direction Wind speed Load SA/V HeatDepth Mx Max Min Methods Objective 2: GA-heath model calibration (i) 40 ROS: 20 calibration + 20 validation dataset (ii) measures of fuel moisture, wind speed, slope for each ROS (iii) a dataset of inventory / laboratory fuel characteristics (iv) we used GA-Roth function to calibrate a custom fuel model We carried out 9 fire experiments …
  • 29. Results Objective 2: GA-heath model calibration Fitness Statistics Cal. Val. RMSE (m min-1) 1.7 1.8 MAE (m min-1) 1.3 1.4 MAPE (%) 20 32 MBE (m min-1) 0.1 0.5 Observed rate of spread (m/min) Predictedrateofspread(m/min)
  • 30. RMSE Methods Objective 3: Validation: GA-heath, standard, custom-aver 1) Standard fuel model selection: grass-shrub (GS) group Rothermel Package Function Best standard FM GS3 2) Custom fuel model* using average inventoried fuels (custom-aver) Load SA/V Heat content Fuel depth Moist extinction Min Max average *Vacchiano et al. 2014 Calibrating and testing FVS… Forest Science
  • 31. Results Objective 3: Validation: GA-heath, standard, custom-aver GA optimization reduced underprediction
  • 32. Results Objective 3: GA-heath vs. custom-average
  • 33. Conclusions Improvements to the state of art  Optimization by Genetic Algorithms (GA) improved the accuracy of previously published custom fuel models  GA explores a continuous search space, is reproducible, is computational effective, not require fuel inventory (min-max)  Is a viable method to calibrate custom fuel models and could be implemented in fire modelling systems  To test GA optimization, we designed the GA-Roth ( ) function in the Rothermel Package for R Medwildfirelab - Global Change Impacts on Wildland Fire Behaviour and Uses in Mediterranean Forest Ecosystems Rome, Italy 13 Dec, 2016 Davide Ascoli dascoli7@gmail.com
  • 34. Conclusions CRAN + Rothermel Package for R downloads in 2015-2016 Vacchiano & Ascoli 2014 An Implementation of the Rothermel Fire Spread Model in the R Programming Language Fire Technology Numberofdownloads 20 Jan 2015 Apr 2015 Jul 2015 Oct 2015 10 30 0 Applications…
  • 35. Conclusions Applications… Medwildfirelab - Global Change Impacts on Wildland Fire Behaviour and Uses in Mediterranean Forest Ecosystems Rome, Italy 13 Dec, 2016 Davide Ascoli dascoli7@gmail.com UTAD UNINA CSIRO MEA
  • 36. Conclusions Applications… Medwildfirelab - Global Change Impacts on Wildland Fire Behaviour and Uses in Mediterranean Forest Ecosystems Rome, Italy 13 Dec, 2016 Davide Ascoli dascoli7@gmail.com
  • 37. …take a breath THANKS FOR THE ATTENTION Medwildfirelab - Global Change Impacts on Wildland Fire Behaviour and Uses in Mediterranean Forest Ecosystems Rome, Italy 13 Dec, 2016 Davide Ascoli dascoli7@gmail.com View publication statsView publication stats