apresentação do powerpoint · for p&w reportedand tissue paper accordingly to abtcp (2017)...
TRANSCRIPT
![Page 1: Apresentação do PowerPoint · for P&W reportedand Tissue paper accordingly to ABTCP (2017) and additionPrices are taken from Suzano Investors Report Price(2018) Demand will be represented](https://reader033.vdocument.in/reader033/viewer/2022051912/60035ad32abc3c5918610012/html5/thumbnails/1.jpg)
A MILP Framework for Forest Systems Evaluat ion
Biorefineries Design
Bruno Theozzo & Moises Teles dos Santos
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1. Genera l
Overview
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Genera l Over v iew
Conventional Refinery
Crude Oil Refineries
Chemicals
Energy
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Genera l Over v iew
Biorefineries
Biomass Biorefineries
Chemicals
Energy
Renewable
Renewable
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Genera l Over v iew
Products from Biomass
Biomass Lignocellulosic
Kraft Cooking
Paper PULP
Eletricity
![Page 6: Apresentação do PowerPoint · for P&W reportedand Tissue paper accordingly to ABTCP (2017) and additionPrices are taken from Suzano Investors Report Price(2018) Demand will be represented](https://reader033.vdocument.in/reader033/viewer/2022051912/60035ad32abc3c5918610012/html5/thumbnails/6.jpg)
Genera l Over v iew
Products from Biomass
Biomass Lignocellulosic
Kraft Cooking
Paper PULP
Eletricity
Lignin
![Page 7: Apresentação do PowerPoint · for P&W reportedand Tissue paper accordingly to ABTCP (2017) and additionPrices are taken from Suzano Investors Report Price(2018) Demand will be represented](https://reader033.vdocument.in/reader033/viewer/2022051912/60035ad32abc3c5918610012/html5/thumbnails/7.jpg)
Genera l Over v iew
Products from Biomass
Biomass Lignocellulosic
Kraft Cooking
Paper PULP
Eletricity
Lignin
Combustion
Heat
![Page 8: Apresentação do PowerPoint · for P&W reportedand Tissue paper accordingly to ABTCP (2017) and additionPrices are taken from Suzano Investors Report Price(2018) Demand will be represented](https://reader033.vdocument.in/reader033/viewer/2022051912/60035ad32abc3c5918610012/html5/thumbnails/8.jpg)
Genera l Over v iew
Products from Biomass
Biomass Lignocellulosic
Kraft Cooking
Paper PULP
Eletricity
Lignin
Combustion
Heat
Pyrolysis Bio-oil
![Page 9: Apresentação do PowerPoint · for P&W reportedand Tissue paper accordingly to ABTCP (2017) and additionPrices are taken from Suzano Investors Report Price(2018) Demand will be represented](https://reader033.vdocument.in/reader033/viewer/2022051912/60035ad32abc3c5918610012/html5/thumbnails/9.jpg)
Genera l Over v iew
Products from Biomass
Biomass Lignocellulosic
Kraft Cooking
Paper PULP
Eletricity
Lignin
Combustion
Heat
Pyrolysis Bio-oil Upgrading
Syn-Gas Aromatics
![Page 10: Apresentação do PowerPoint · for P&W reportedand Tissue paper accordingly to ABTCP (2017) and additionPrices are taken from Suzano Investors Report Price(2018) Demand will be represented](https://reader033.vdocument.in/reader033/viewer/2022051912/60035ad32abc3c5918610012/html5/thumbnails/10.jpg)
Genera l Over v iew
Products from Biomass
Biomass Lignocellulosic
Kraft Cooking
Paper PULP
Eletricity
Lignin
Combustion
Heat
Pyrolysis Bio-oil Upgrading
Syn-Gas Aromatics Pretreament C5 & C6 Sugars
![Page 11: Apresentação do PowerPoint · for P&W reportedand Tissue paper accordingly to ABTCP (2017) and additionPrices are taken from Suzano Investors Report Price(2018) Demand will be represented](https://reader033.vdocument.in/reader033/viewer/2022051912/60035ad32abc3c5918610012/html5/thumbnails/11.jpg)
Genera l Over v iew
Products from Biomass
Biomass Lignocellulosic
Kraft Cooking
Paper PULP
Eletricity
Lignin
Combustion
Heat
Pyrolysis Bio-oil Upgrading
Syn-Gas Aromatics Pretreament C5 & C6 Sugars
![Page 12: Apresentação do PowerPoint · for P&W reportedand Tissue paper accordingly to ABTCP (2017) and additionPrices are taken from Suzano Investors Report Price(2018) Demand will be represented](https://reader033.vdocument.in/reader033/viewer/2022051912/60035ad32abc3c5918610012/html5/thumbnails/12.jpg)
Genera l Over v iew
Location Dependency
Biomass demands a high amount of Land which may increase the pression on Food Cultivation and Native Forests Lands
![Page 13: Apresentação do PowerPoint · for P&W reportedand Tissue paper accordingly to ABTCP (2017) and additionPrices are taken from Suzano Investors Report Price(2018) Demand will be represented](https://reader033.vdocument.in/reader033/viewer/2022051912/60035ad32abc3c5918610012/html5/thumbnails/13.jpg)
Genera l Over v iew
Location Dependency
Biomass demands a high amount of Land which may increase the pression on Food Cultivation and Native Forests Lands
Available Lands may not present enough Productivity Potential for a Economically feasible Plantation of Biomass
![Page 14: Apresentação do PowerPoint · for P&W reportedand Tissue paper accordingly to ABTCP (2017) and additionPrices are taken from Suzano Investors Report Price(2018) Demand will be represented](https://reader033.vdocument.in/reader033/viewer/2022051912/60035ad32abc3c5918610012/html5/thumbnails/14.jpg)
Genera l Over v iew
Location Dependency
Biomass demands a high amount of Land which may increase the pression on Food Cultivation and Native Forests Lands
Available Lands may not present enough Productivity Potential for a Economically feasible Plantation of Biomass
Land Availability and Products Demand usually have a Negative Correlation
![Page 15: Apresentação do PowerPoint · for P&W reportedand Tissue paper accordingly to ABTCP (2017) and additionPrices are taken from Suzano Investors Report Price(2018) Demand will be represented](https://reader033.vdocument.in/reader033/viewer/2022051912/60035ad32abc3c5918610012/html5/thumbnails/15.jpg)
Genera l Over v iew
Location Dependency
Biomass demands a high amount of Land which may increase the pression on Food Cultivation and Native Forests Lands
Available Lands may not present enough Productivity Potential for a Economically feasible Plantation of Biomass
Land Availability and Products Demand usually have a Negative Correlation
Forest Systems take Several Years for reaching Commercial Maturity
![Page 16: Apresentação do PowerPoint · for P&W reportedand Tissue paper accordingly to ABTCP (2017) and additionPrices are taken from Suzano Investors Report Price(2018) Demand will be represented](https://reader033.vdocument.in/reader033/viewer/2022051912/60035ad32abc3c5918610012/html5/thumbnails/16.jpg)
Genera l Over v iew
Location Dependency
Biomass demands a high amount of Land which may increase the pression on Food Cultivation and Native Forests Lands
Available Lands may not present enough Productivity Potential for a Economically feasible Plantation of Biomass
Land Availability and Products Demand usually have a Negative Correlation
Forest Systems take Several Years for reaching Commercial Maturity
Time and Location Dependent Decision-Making
![Page 17: Apresentação do PowerPoint · for P&W reportedand Tissue paper accordingly to ABTCP (2017) and additionPrices are taken from Suzano Investors Report Price(2018) Demand will be represented](https://reader033.vdocument.in/reader033/viewer/2022051912/60035ad32abc3c5918610012/html5/thumbnails/17.jpg)
2. Proposed
Framework
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Proposed F ramework
4 Layers Approach
Forest Layer • Which Biomass to plant (or buy)
• Where to Plant the Biomass
• When to Plant and When to
Harvest
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Proposed F ramework
4 Layers Approach
Production Layer • Which Technological Route to use
• Where to Locate each Facility
• Where to Get Biomass from
Forest Layer • Which Biomass to plant (or buy)
• Where to Plant the Biomass
• When to Plant and When to
Harvest
![Page 20: Apresentação do PowerPoint · for P&W reportedand Tissue paper accordingly to ABTCP (2017) and additionPrices are taken from Suzano Investors Report Price(2018) Demand will be represented](https://reader033.vdocument.in/reader033/viewer/2022051912/60035ad32abc3c5918610012/html5/thumbnails/20.jpg)
Proposed F ramework
4 Layers Approach
Market Layer • Which Products to Produce
• Which Locations to Attend
Production Layer • Which Technological Route to use
• Where to Locate each Facility
• Where to Get Biomass from
Forest Layer • Which Biomass to plant (or buy)
• Where to Plant the Biomass
• When to Plant and When to
Harvest?
![Page 21: Apresentação do PowerPoint · for P&W reportedand Tissue paper accordingly to ABTCP (2017) and additionPrices are taken from Suzano Investors Report Price(2018) Demand will be represented](https://reader033.vdocument.in/reader033/viewer/2022051912/60035ad32abc3c5918610012/html5/thumbnails/21.jpg)
Proposed F ramework
4 Layers Approach
Market Layer • Which Products to Produce?
• Which Locations to Attend?
Production Layer • Which Technological Route to use
• Where to Locate each Facility
• Where to Get Biomass from
Storage Layer • Where to keep Stock
• How to Connect Supply and
Demand
Forest Layer • Which Biomass to plant (or buy)
• Where to Plant the Biomass
• When to Plant and When to
Harvest?
![Page 22: Apresentação do PowerPoint · for P&W reportedand Tissue paper accordingly to ABTCP (2017) and additionPrices are taken from Suzano Investors Report Price(2018) Demand will be represented](https://reader033.vdocument.in/reader033/viewer/2022051912/60035ad32abc3c5918610012/html5/thumbnails/22.jpg)
3. Layer
Market
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Market Layer
Products Demand
Pulp
Pulp Demand estimated
through Installed Capacity
of Main Producers in Brazil
for P&W and Tissue paper
accordingly to ABTCP
(2017) and Prices are taken
from Suzano Investors
Report (2018)
![Page 24: Apresentação do PowerPoint · for P&W reportedand Tissue paper accordingly to ABTCP (2017) and additionPrices are taken from Suzano Investors Report Price(2018) Demand will be represented](https://reader033.vdocument.in/reader033/viewer/2022051912/60035ad32abc3c5918610012/html5/thumbnails/24.jpg)
Market Layer
Products Demand
Pulp Electricity
Pulp Demand estimated
through Installed Capacity
of Main Producers in Brazil
for P&W and Tissue paper
accordingly to ABTCP
(2017) and Prices are taken
from Suzano Investors
Report (2018)
Electricity Demand are taken
from Statistical Annuary by
EPE (2017) considering 2.9%
of Substitution which
corresponds to the Energy
Generated by Coal and Prices
are taken as the Historical
Mean accordingly to the
same report.
![Page 25: Apresentação do PowerPoint · for P&W reportedand Tissue paper accordingly to ABTCP (2017) and additionPrices are taken from Suzano Investors Report Price(2018) Demand will be represented](https://reader033.vdocument.in/reader033/viewer/2022051912/60035ad32abc3c5918610012/html5/thumbnails/25.jpg)
Market Layer
Products Demand
Pulp Electricity Lignin
Pulp Demand estimated
through Installed Capacity
of Main Producers in Brazil
for P&W and Tissue paper
accordingly to ABTCP
(2017) and Prices are taken
from Suzano Investors
Report (2018)
Lignin Demand will be
represented by Cement
Capacities in Brazil
reported by SNIC (2018)
considering a 0.2% of
addition reported by
Huang et al (2018) and
Price of 1800 BRL/ton [1]
accordingly to Gosselink
(2011)
Electricity Demand are taken
from Statistical Annuary by
EPE (2017) considering 2.9%
of Substitution which
corresponds to the Energy
Generated by Coal and Prices
are taken as the Historical
Mean accordingly to the
same report.
![Page 26: Apresentação do PowerPoint · for P&W reportedand Tissue paper accordingly to ABTCP (2017) and additionPrices are taken from Suzano Investors Report Price(2018) Demand will be represented](https://reader033.vdocument.in/reader033/viewer/2022051912/60035ad32abc3c5918610012/html5/thumbnails/26.jpg)
4. Layer :
Production
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Product ion Layer
Mass Balance
• Lignin
• Bleached Pulp
• Brown Pulp
• Black Liquor
• Wood Chips
• Wood Fines
• Raw Wood
Set Q: Chemical Species
![Page 28: Apresentação do PowerPoint · for P&W reportedand Tissue paper accordingly to ABTCP (2017) and additionPrices are taken from Suzano Investors Report Price(2018) Demand will be represented](https://reader033.vdocument.in/reader033/viewer/2022051912/60035ad32abc3c5918610012/html5/thumbnails/28.jpg)
Product ion Layer
Mass Balance
• Lignin
• Bleached Pulp
• Brown Pulp
• Black Liquor
• Wood Chips
• Wood Fines
• Raw Wood
Set Q: Chemical Species
• Wood
Preparation
• Kraft Cooking
• Lignin
Precipitation
• Steam Turbine
• Bleaching
Set Z: Technologies
![Page 29: Apresentação do PowerPoint · for P&W reportedand Tissue paper accordingly to ABTCP (2017) and additionPrices are taken from Suzano Investors Report Price(2018) Demand will be represented](https://reader033.vdocument.in/reader033/viewer/2022051912/60035ad32abc3c5918610012/html5/thumbnails/29.jpg)
Product ion Layer
Mass Balance
• Lignin
• Bleached Pulp
• Brown Pulp
• Black Liquor
• Wood Chips
• Wood Fines
• Raw Wood
Set Q: Chemical Species
• Wood
Preparation
• Kraft Cooking
• Lignin
Precipitation
• Steam Turbine
• Bleaching
Set Z: Technologies
𝒎𝒑𝒑,𝑞,𝒕 − 𝒎𝒑𝒑,𝑞,𝒕−1
![Page 30: Apresentação do PowerPoint · for P&W reportedand Tissue paper accordingly to ABTCP (2017) and additionPrices are taken from Suzano Investors Report Price(2018) Demand will be represented](https://reader033.vdocument.in/reader033/viewer/2022051912/60035ad32abc3c5918610012/html5/thumbnails/30.jpg)
Product ion Layer
Mass Balance
• Lignin
• Bleached Pulp
• Brown Pulp
• Black Liquor
• Wood Chips
• Wood Fines
• Raw Wood
Set Q: Chemical Species
• Wood
Preparation
• Kraft Cooking
• Lignin
Precipitation
• Steam Turbine
• Bleaching
Set Z: Technologies
𝒎𝒑𝒑,𝑞,𝒕 − 𝒎𝒑𝒑,𝑞,𝒕−1 𝑭𝑭𝑷𝒑,𝑞,𝒕 =
![Page 31: Apresentação do PowerPoint · for P&W reportedand Tissue paper accordingly to ABTCP (2017) and additionPrices are taken from Suzano Investors Report Price(2018) Demand will be represented](https://reader033.vdocument.in/reader033/viewer/2022051912/60035ad32abc3c5918610012/html5/thumbnails/31.jpg)
Product ion Layer
Mass Balance
• Lignin
• Bleached Pulp
• Brown Pulp
• Black Liquor
• Wood Chips
• Wood Fines
• Raw Wood
Set Q: Chemical Species
• Wood
Preparation
• Kraft Cooking
• Lignin
Precipitation
• Steam Turbine
• Bleaching
Set Z: Technologies
𝒎𝒑𝒑,𝑞,𝒕 − 𝒎𝒑𝒑,𝑞,𝒕−1 𝑭𝑭𝑷𝒑,𝑞,𝒕
+ 𝑭𝑻𝑷𝒑′,𝒑,𝑞,𝒕𝒑′∈𝑷
− 𝑭𝑻𝑷𝒑,𝒑′,𝑞,𝒕𝒑′∈𝑷
=
![Page 32: Apresentação do PowerPoint · for P&W reportedand Tissue paper accordingly to ABTCP (2017) and additionPrices are taken from Suzano Investors Report Price(2018) Demand will be represented](https://reader033.vdocument.in/reader033/viewer/2022051912/60035ad32abc3c5918610012/html5/thumbnails/32.jpg)
Product ion Layer
Mass Balance
• Lignin
• Bleached Pulp
• Brown Pulp
• Black Liquor
• Wood Chips
• Wood Fines
• Raw Wood
Set Q: Chemical Species
• Wood
Preparation
• Kraft Cooking
• Lignin
Precipitation
• Steam Turbine
• Bleaching
Set Z: Technologies
𝒎𝒑𝒑,𝑞,𝒕 − 𝒎𝒑𝒑,𝑞,𝒕−1 𝑭𝑭𝑷𝒑,𝑞,𝒕
+ 𝑭𝑷𝒁𝒑,𝒛,𝒒,𝒕𝑧∈𝑍
− 𝑭𝒁𝒑,𝒛,𝑞,𝒕𝑧∈𝑍
+ 𝑭𝑻𝑷𝒑′,𝒑,𝑞,𝒕𝒑′∈𝑷
− 𝑭𝑻𝑷𝒑,𝒑′,𝑞,𝒕𝒑′∈𝑷
=
![Page 33: Apresentação do PowerPoint · for P&W reportedand Tissue paper accordingly to ABTCP (2017) and additionPrices are taken from Suzano Investors Report Price(2018) Demand will be represented](https://reader033.vdocument.in/reader033/viewer/2022051912/60035ad32abc3c5918610012/html5/thumbnails/33.jpg)
Product ion Layer
Mass Balance
• Lignin
• Bleached Pulp
• Brown Pulp
• Black Liquor
• Wood Chips
• Wood Fines
• Raw Wood
Set Q: Chemical Species
• Wood
Preparation
• Kraft Cooking
• Lignin
Precipitation
• Steam Turbine
• Bleaching
Set Z: Technologies
𝒎𝒑𝒑,𝑞,𝒕 − 𝒎𝒑𝒑,𝑞,𝒕−1 𝑭𝑭𝑷𝒑,𝑞,𝒕
+ 𝑭𝑷𝒁𝒑,𝒛,𝒒,𝒕𝑧∈𝑍
− 𝑭𝑷𝑴𝒑,𝒎,𝑞,𝒕𝒎∈𝑴
− 𝑭𝒁𝒑,𝒛,𝑞,𝒕𝑧∈𝑍
− 𝑭𝑷𝑬𝒑,𝒆,𝑞,𝒕𝒆∈𝑬
+ 𝑭𝑻𝑷𝒑′,𝒑,𝑞,𝒕𝒑′∈𝑷
− 𝑭𝑻𝑷𝒑,𝒑′,𝑞,𝒕𝒑′∈𝑷
=
![Page 34: Apresentação do PowerPoint · for P&W reportedand Tissue paper accordingly to ABTCP (2017) and additionPrices are taken from Suzano Investors Report Price(2018) Demand will be represented](https://reader033.vdocument.in/reader033/viewer/2022051912/60035ad32abc3c5918610012/html5/thumbnails/34.jpg)
Product ion Layer
Mass Balance
• Lignin
• Bleached Pulp
• Brown Pulp
• Black Liquor
• Wood Chips
• Wood Fines
• Raw Wood
Set Q: Chemical Species
• Wood
Preparation
• Kraft Cooking
• Lignin
Precipitation
• Steam Turbine
• Bleaching
Set Z: Technologies
𝒎𝒑𝒑,𝑞,𝒕 − 𝒎𝒑𝒑,𝑞,𝒕−1 𝑭𝑭𝑷𝒑,𝑞,𝒕
+ 𝑭𝑷𝒁𝒑,𝒛,𝒒,𝒕𝑧∈𝑍
− 𝑭𝑷𝑴𝒑,𝒎,𝑞,𝒕𝒎∈𝑴
− 𝑭𝒁𝒑,𝒛,𝑞,𝒕𝑧∈𝑍
− 𝑭𝑷𝑬𝒑,𝒆,𝑞,𝒕𝒆∈𝑬
+ 𝑭𝑻𝑷𝒑′,𝒑,𝑞,𝒕𝒑′∈𝑷
− 𝑭𝑻𝑷𝒑,𝒑′,𝑞,𝒕𝒑′∈𝑷
=
![Page 35: Apresentação do PowerPoint · for P&W reportedand Tissue paper accordingly to ABTCP (2017) and additionPrices are taken from Suzano Investors Report Price(2018) Demand will be represented](https://reader033.vdocument.in/reader033/viewer/2022051912/60035ad32abc3c5918610012/html5/thumbnails/35.jpg)
Product ion Layer
Conversion Technologies
Production of Chemical “Qprod”
𝑭𝑷𝒁𝒑,𝒛,𝒒𝒑𝒓𝒐𝒅,𝒕 = 𝑭𝒁𝒑,𝒛,𝒒,𝒕𝒒∈𝑸
𝑐𝑜𝑛𝑣_𝑞 𝑧,𝑞,𝒒𝒑𝒓𝒐𝒅
![Page 36: Apresentação do PowerPoint · for P&W reportedand Tissue paper accordingly to ABTCP (2017) and additionPrices are taken from Suzano Investors Report Price(2018) Demand will be represented](https://reader033.vdocument.in/reader033/viewer/2022051912/60035ad32abc3c5918610012/html5/thumbnails/36.jpg)
Product ion Layer
Conversion Technologies
Production of Chemical “Qprod”
𝑭𝑷𝒁𝒑,𝒛,𝒒𝒑𝒓𝒐𝒅,𝒕 = 𝑭𝒁𝒑,𝒛,𝒒,𝒕𝒒∈𝑸
𝑐𝑜𝑛𝑣_𝑞 𝑧,𝑞,𝒒𝒑𝒓𝒐𝒅
/WoodPreparation.Wood.Chips 0.95 WoodPreparation.Wood.Fines 0.05/
GAMS Coding
![Page 37: Apresentação do PowerPoint · for P&W reportedand Tissue paper accordingly to ABTCP (2017) and additionPrices are taken from Suzano Investors Report Price(2018) Demand will be represented](https://reader033.vdocument.in/reader033/viewer/2022051912/60035ad32abc3c5918610012/html5/thumbnails/37.jpg)
Product ion Layer
Conversion Technologies
Production of Chemical “Qprod”
𝑭𝑷𝒁𝒑,𝒛,𝒒𝒑𝒓𝒐𝒅,𝒕 = 𝑭𝒁𝒑,𝒛,𝒒,𝒕𝒒∈𝑸
𝑐𝑜𝑛𝑣_𝑞 𝑧,𝑞,𝒒𝒑𝒓𝒐𝒅
/WoodPreparation.Wood.Chips 0.95 WoodPreparation.Wood.Fines 0.05/
GAMS Coding
• Electricity
• NaOH
• Chlorine
• Steam
• Wood Fines
• Raw Wood
Set U: Utilities
![Page 38: Apresentação do PowerPoint · for P&W reportedand Tissue paper accordingly to ABTCP (2017) and additionPrices are taken from Suzano Investors Report Price(2018) Demand will be represented](https://reader033.vdocument.in/reader033/viewer/2022051912/60035ad32abc3c5918610012/html5/thumbnails/38.jpg)
Product ion Layer
Conversion Technologies
Production of Chemical “Qprod”
𝑭𝑷𝒁𝒑,𝒛,𝒒𝒑𝒓𝒐𝒅,𝒕 = 𝑭𝒁𝒑,𝒛,𝒒,𝒕𝒒∈𝑸
𝑐𝑜𝑛𝑣_𝑞 𝑧,𝑞,𝒒𝒑𝒓𝒐𝒅
/WoodPreparation.Wood.Chips 0.95 WoodPreparation.Wood.Fines 0.05/
GAMS Coding
𝑭𝑼𝒑,𝒛,𝒖,𝒕𝒏𝒆𝒆𝒅𝒆𝒅 = 𝑭𝒁𝒑,𝒛,𝒒,𝒕
𝒒∈𝑸
𝑢𝑡𝑙𝑧,𝑞,𝑢 • Electricity
• NaOH
• Chlorine
• Steam
• Wood Fines
• Raw Wood
Set U: Utilities
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Product ion Layer
Conversion Technologies
Production of Chemical “Qprod”
𝑭𝑷𝒁𝒑,𝒛,𝒒𝒑𝒓𝒐𝒅,𝒕 = 𝑭𝒁𝒑,𝒛,𝒒,𝒕𝒒∈𝑸
𝑐𝑜𝑛𝑣_𝑞 𝑧,𝑞,𝒒𝒑𝒓𝒐𝒅
/WoodPreparation.Wood.Chips 0.95 WoodPreparation.Wood.Fines 0.05/
GAMS Coding
𝑭𝑼𝒑,𝒛,𝒖,𝒕𝒏𝒆𝒆𝒅𝒆𝒅 = 𝑭𝒁𝒑,𝒛,𝒒,𝒕
𝒒∈𝑸
𝑢𝑡𝑙𝑧,𝑞,𝑢 • Electricity
• NaOH
• Chlorine
• Steam
• Wood Fines
• Raw Wood
Set U: Utilities
𝑭𝑼𝒑,𝒛,𝒖_𝒑𝒓𝒐𝒅,𝒕𝒑𝒓𝒐𝒅𝒖𝒄𝒆𝒅
= 𝑭𝒁𝒑,𝒛,𝒒,𝒕𝒒∈𝑸
𝑐𝑜𝑛𝑣_𝑢 𝑧,𝑞,𝑢_𝑝𝑟𝑜𝑑
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Product ion Layer
Conversion Technologies
Production of Chemical “Qprod”
𝑭𝑷𝒁𝒑,𝒛,𝒒𝒑𝒓𝒐𝒅,𝒕 = 𝑭𝒁𝒑,𝒛,𝒒,𝒕𝒒∈𝑸
𝑐𝑜𝑛𝑣_𝑞 𝑧,𝑞,𝒒𝒑𝒓𝒐𝒅
/WoodPreparation.Wood.Chips 0.95 WoodPreparation.Wood.Fines 0.05/
GAMS Coding
𝑭𝑼𝒑,𝒛,𝒖,𝒕𝒏𝒆𝒆𝒅𝒆𝒅 = 𝑭𝒁𝒑,𝒛,𝒒,𝒕
𝒒∈𝑸
𝑢𝑡𝑙𝑧,𝑞,𝑢 • Electricity
• NaOH
• Chlorine
• Steam
• Wood Fines
• Raw Wood
Set U: Utilities
𝑭𝑼𝒑,𝒛,𝒖_𝒑𝒓𝒐𝒅,𝒕𝒑𝒓𝒐𝒅𝒖𝒄𝒆𝒅
= 𝑭𝒁𝒑,𝒛,𝒒,𝒕𝒒∈𝑸
𝑐𝑜𝑛𝑣_𝑢 𝑧,𝑞,𝑢_𝑝𝑟𝑜𝑑
+ 𝑭𝑼𝒑,𝒛,𝒖,𝒕𝑻𝑜 𝑏𝑒 𝑖𝑛𝑡𝑒𝑟𝑐𝑜𝑛𝑣𝑒𝑟𝑡𝑒𝑑
𝒖∈𝑼
𝑐𝑜𝑛𝑣_𝑖𝑛𝑡𝑢 𝑧,𝑢,𝑢_𝑝𝑟𝑜𝑑
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Product ion Layer
Conversion Technologies
Production of Chemical “Qprod”
𝑭𝑷𝒁𝒑,𝒛,𝒒𝒑𝒓𝒐𝒅,𝒕 = 𝑭𝒁𝒑,𝒛,𝒒,𝒕𝒒∈𝑸
𝑐𝑜𝑛𝑣_𝑞 𝑧,𝑞,𝒒𝒑𝒓𝒐𝒅
/WoodPreparation.Wood.Chips 0.95 WoodPreparation.Wood.Fines 0.05/
GAMS Coding
𝑭𝑼𝒑,𝒛,𝒖,𝒕𝒏𝒆𝒆𝒅𝒆𝒅 = 𝑭𝒁𝒑,𝒛,𝒒,𝒕
𝒒∈𝑸
𝑢𝑡𝑙𝑧,𝑞,𝑢 + 𝑭𝑼𝒑,𝒛,𝒖,𝒕𝑻𝑜 𝑏𝑒 𝑖𝑛𝑡𝑒𝑟𝑐𝑜𝑛𝑣𝑒𝑟𝑡𝑒𝑑
• Electricity
• NaOH
• Chlorine
• Steam
• Wood Fines
• Raw Wood
Set U: Utilities
𝑭𝑼𝒑,𝒛,𝒖_𝒑𝒓𝒐𝒅,𝒕𝒑𝒓𝒐𝒅𝒖𝒄𝒆𝒅
= 𝑭𝒁𝒑,𝒛,𝒒,𝒕𝒒∈𝑸
𝑐𝑜𝑛𝑣_𝑢 𝑧,𝑞,𝑢_𝑝𝑟𝑜𝑑
+ 𝑭𝑼𝒑,𝒛,𝒖,𝒕𝑻𝑜 𝑏𝑒 𝑖𝑛𝑡𝑒𝑟𝑐𝑜𝑛𝑣𝑒𝑟𝑡𝑒𝑑
𝒖∈𝑼
𝑐𝑜𝑛𝑣_𝑖𝑛𝑡𝑢 𝑧,𝑢,𝑢_𝑝𝑟𝑜𝑑
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Product ion Layer
Conversion Technologies
Production of Chemical “Qprod”
𝑭𝑷𝒁𝒑,𝒛,𝒒𝒑𝒓𝒐𝒅,𝒕 = 𝑭𝒁𝒑,𝒛,𝒒,𝒕𝒒∈𝑸
𝑐𝑜𝑛𝑣_𝑞 𝑧,𝑞,𝒒𝒑𝒓𝒐𝒅
/WoodPreparation.Wood.Chips 0.95 WoodPreparation.Wood.Fines 0.05/
GAMS Coding
𝑭𝑼𝒑,𝒛,𝒖,𝒕𝒏𝒆𝒆𝒅𝒆𝒅 = 𝑭𝒁𝒑,𝒛,𝒒,𝒕
𝒒∈𝑸
𝑢𝑡𝑙𝑧,𝑞,𝑢 + 𝑭𝑼𝒑,𝒛,𝒖,𝒕𝑻𝑜 𝑏𝑒 𝑖𝑛𝑡𝑒𝑟𝑐𝑜𝑛𝑣𝑒𝑟𝑡𝑒𝑑
• Electricity
• NaOH
• Chlorine
• Steam
• Wood Fines
• Raw Wood
Set U: Utilities
𝑭𝑼𝒑,𝒛,𝒖_𝒑𝒓𝒐𝒅,𝒕𝒑𝒓𝒐𝒅𝒖𝒄𝒆𝒅
= 𝑭𝒁𝒑,𝒛,𝒒,𝒕𝒒∈𝑸
𝑐𝑜𝑛𝑣_𝑢 𝑧,𝑞,𝑢_𝑝𝑟𝑜𝑑
+ 𝑭𝑼𝒑,𝒛,𝒖,𝒕𝑻𝑜 𝑏𝑒 𝑖𝑛𝑡𝑒𝑟𝑐𝑜𝑛𝑣𝑒𝑟𝑡𝑒𝑑
𝒖∈𝑼
𝑐𝑜𝑛𝑣_𝑖𝑛𝑡𝑢 𝑧,𝑢,𝑢_𝑝𝑟𝑜𝑑
𝑭𝑼𝒑,𝒖,𝒕𝑩𝑼𝒀 − 𝑭𝑼𝒑,𝒖,𝒕
𝑺𝑬𝑳𝑳 = 𝑭𝑼𝒑,𝒛,𝒖,𝒕𝒏𝒆𝒆𝒅𝒆𝒅
𝒛∈𝒁
− 𝑭𝑼𝒑,𝒛,𝒖,𝒕𝒑𝒓𝒐𝒅𝒖𝒄𝒆𝒅
𝒛∈𝒁
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Product ion Layer
Conversion Technologies
Production of Chemical “Qprod”
𝑭𝑷𝒁𝒑,𝒛,𝒒𝒑𝒓𝒐𝒅,𝒕 = 𝑭𝒁𝒑,𝒛,𝒒,𝒕𝒒∈𝑸
𝑐𝑜𝑛𝑣_𝑞 𝑧,𝑞,𝒒𝒑𝒓𝒐𝒅
/WoodPreparation.Wood.Chips 0.95 WoodPreparation.Wood.Fines 0.05/
GAMS Coding
𝑭𝑼𝒑,𝒛,𝒖,𝒕𝒏𝒆𝒆𝒅𝒆𝒅 = 𝑭𝒁𝒑,𝒛,𝒒,𝒕
𝒒∈𝑸
𝑢𝑡𝑙𝑧,𝑞,𝑢 + 𝑭𝑼𝒑,𝒛,𝒖,𝒕𝑻𝑜 𝑏𝑒 𝑖𝑛𝑡𝑒𝑟𝑐𝑜𝑛𝑣𝑒𝑟𝑡𝑒𝑑
• Electricity
• NaOH
• Chlorine
• Steam
• Wood Fines
• Raw Wood
Set U: Utilities
𝑭𝑼𝒑,𝒛,𝒖_𝒑𝒓𝒐𝒅,𝒕𝒑𝒓𝒐𝒅𝒖𝒄𝒆𝒅
= 𝑭𝒁𝒑,𝒛,𝒒,𝒕𝒒∈𝑸
𝑐𝑜𝑛𝑣_𝑢 𝑧,𝑞,𝑢_𝑝𝑟𝑜𝑑
+ 𝑭𝑼𝒑,𝒛,𝒖,𝒕𝑻𝑜 𝑏𝑒 𝑖𝑛𝑡𝑒𝑟𝑐𝑜𝑛𝑣𝑒𝑟𝑡𝑒𝑑
𝒖∈𝑼
𝑐𝑜𝑛𝑣_𝑖𝑛𝑡𝑢 𝑧,𝑢,𝑢_𝑝𝑟𝑜𝑑
𝑭𝑼𝒑,𝒖,𝒕𝑩𝑼𝒀 − 𝑭𝑼𝒑,𝒖,𝒕
𝑺𝑬𝑳𝑳 = 𝑭𝑼𝒑,𝒛,𝒖,𝒕𝒏𝒆𝒆𝒅𝒆𝒅
𝒛∈𝒁
− 𝑭𝑼𝒑,𝒛,𝒖,𝒕𝒑𝒓𝒐𝒅𝒖𝒄𝒆𝒅
𝒛∈𝒁
Utilities can only be
traded within
Production Unit P
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Product ion Layer
Conversion Technologies
Feed Restrictions
𝑭𝒁𝒑,𝒛,𝒒,𝒕 ≤ 𝑀𝑡𝑒𝑐,𝑧,𝑞𝒚𝒑𝒛𝒑,𝒛 ∀(𝑝 ∈ 𝑃, 𝑧 ∈ 𝑍, 𝑞 ∈ 𝑄, 𝑡 ∈ 𝑇
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Product ion Layer
Conversion Technologies
Feed Restrictions
𝑭𝒁𝒑,𝒛,𝒒,𝒕 ≤ 𝑀𝑡𝑒𝑐,𝑧,𝑞𝒚𝒑𝒛𝒑,𝒛 ∀(𝑝 ∈ 𝑃, 𝑧 ∈ 𝑍, 𝑞 ∈ 𝑄, 𝑡 ∈ 𝑇
𝑭𝒁𝒑,𝒛,𝒒,𝒕 ≤ 𝑀𝑡𝑒𝑐,𝑧,𝑞 𝑐𝑜𝑛𝑣𝑞
𝑧,𝑞,𝑞𝑝𝑟𝑜𝑑
𝑞𝑝𝑟𝑜𝑑
+ 𝑐𝑜𝑛𝑣_𝑢 𝑧,𝑞,𝑢𝑝𝑟𝑜𝑑𝑢_𝑝𝑟𝑜𝑑
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Product ion Layer
Conversion Technologies
Feed Restrictions
𝑭𝒁𝒑,𝒛,𝒒,𝒕 ≤ 𝑀𝑡𝑒𝑐,𝑧,𝑞𝒚𝒑𝒛𝒑,𝒛 ∀(𝑝 ∈ 𝑃, 𝑧 ∈ 𝑍, 𝑞 ∈ 𝑄, 𝑡 ∈ 𝑇
𝑭𝒁𝒑,𝒛,𝒒,𝒕 ≤ 𝑀𝑡𝑒𝑐,𝑧,𝑞 𝑐𝑜𝑛𝑣𝑞
𝑧,𝑞,𝑞𝑝𝑟𝑜𝑑
𝑞𝑝𝑟𝑜𝑑
+ 𝑐𝑜𝑛𝑣_𝑢 𝑧,𝑞,𝑢𝑝𝑟𝑜𝑑𝑢_𝑝𝑟𝑜𝑑
Investments
𝑭𝒁𝒑,𝒛,𝒒𝒎𝒂𝒙 ≥ 𝑭𝒁𝒑,𝒛,𝒒,𝒕
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Product ion Layer
Conversion Technologies
Feed Restrictions
𝑭𝒁𝒑,𝒛,𝒒,𝒕 ≤ 𝑀𝑡𝑒𝑐,𝑧,𝑞𝒚𝒑𝒛𝒑,𝒛 ∀(𝑝 ∈ 𝑃, 𝑧 ∈ 𝑍, 𝑞 ∈ 𝑄, 𝑡 ∈ 𝑇
𝑭𝒁𝒑,𝒛,𝒒,𝒕 ≤ 𝑀𝑡𝑒𝑐,𝑧,𝑞 𝑐𝑜𝑛𝑣𝑞
𝑧,𝑞,𝑞𝑝𝑟𝑜𝑑
𝑞𝑝𝑟𝑜𝑑
+ 𝑐𝑜𝑛𝑣_𝑢 𝑧,𝑞,𝑢𝑝𝑟𝑜𝑑𝑢_𝑝𝑟𝑜𝑑
𝐼 = 𝐼𝑟𝑒𝑓𝐹𝑍𝑚𝑎𝑥
𝐹𝑍𝑟𝑒𝑓
𝑛𝑧,𝑞
Investments
𝑭𝒁𝒑,𝒛,𝒒𝒎𝒂𝒙 ≥ 𝑭𝒁𝒑,𝒛,𝒒,𝒕
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Product ion Layer
Conversion Technologies
Feed Restrictions
𝑭𝒁𝒑,𝒛,𝒒,𝒕 ≤ 𝑀𝑡𝑒𝑐,𝑧,𝑞𝒚𝒑𝒛𝒑,𝒛 ∀(𝑝 ∈ 𝑃, 𝑧 ∈ 𝑍, 𝑞 ∈ 𝑄, 𝑡 ∈ 𝑇
𝑭𝒁𝒑,𝒛,𝒒,𝒕 ≤ 𝑀𝑡𝑒𝑐,𝑧,𝑞 𝑐𝑜𝑛𝑣𝑞
𝑧,𝑞,𝑞𝑝𝑟𝑜𝑑
𝑞𝑝𝑟𝑜𝑑
+ 𝑐𝑜𝑛𝑣_𝑢 𝑧,𝑞,𝑢𝑝𝑟𝑜𝑑𝑢_𝑝𝑟𝑜𝑑
𝐼 = 𝐼𝑟𝑒𝑓𝐹𝑍𝑚𝑎𝑥
𝐹𝑍𝑟𝑒𝑓
𝑛𝑧,𝑞
Investments
Piecewise Linear Approximation (Bergamini et al, 2011)
𝑭𝒁𝒑,𝒛,𝒒𝒎𝒂𝒙 ≥ 𝑭𝒁𝒑,𝒛,𝒒,𝒕
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Product ion Layer
Conversion Technologies
Feed Restrictions
𝑭𝒁𝒑,𝒛,𝒒,𝒕 ≤ 𝑀𝑡𝑒𝑐,𝑧,𝑞𝒚𝒑𝒛𝒑,𝒛 ∀(𝑝 ∈ 𝑃, 𝑧 ∈ 𝑍, 𝑞 ∈ 𝑄, 𝑡 ∈ 𝑇
𝑭𝒁𝒑,𝒛,𝒒,𝒕 ≤ 𝑀𝑡𝑒𝑐,𝑧,𝑞 𝑐𝑜𝑛𝑣𝑞
𝑧,𝑞,𝑞𝑝𝑟𝑜𝑑
𝑞𝑝𝑟𝑜𝑑
+ 𝑐𝑜𝑛𝑣_𝑢 𝑧,𝑞,𝑢𝑝𝑟𝑜𝑑𝑢_𝑝𝑟𝑜𝑑
𝐼 = 𝐼𝑟𝑒𝑓𝐹𝑍𝑚𝑎𝑥
𝐹𝑍𝑟𝑒𝑓
𝑛𝑧,𝑞
Investments
Piecewise Linear Approximation (Bergamini et al, 2011)
𝑭𝒁𝒑,𝒛,𝒒𝒎𝒂𝒙 ≥ 𝑭𝒁𝒑,𝒛,𝒒,𝒕
Investment data taken from
Fibria Investors Report for
Project Horizonte II (2011)
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Product ion Layer
Capacity Decisions
• Wood
• Wood Chips
• Fines
• Brown Pulp
• Black Liquor
• Steam
Location & Capacity for Facilities
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Product ion Layer
Capacity Decisions
• Wood
• Wood Chips
• Fines
• Brown Pulp
• Black Liquor
• Steam
Location & Capacity for Facilities
Production to Market Flows
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5. Layer :
Forest
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Fores t Layer
Demand for Biomass
Forest Layer Production Layer
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Fores t Layer
Demand for Biomass
Forest Layer Production Layer
Chemical
Chemical Species set
Wood
Chips
Fines
….
Bleached Pulp
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Biomass b composition
Wood = 1
Chips = 0
Fines = 0
….
Fores t Layer
Demand for Biomass
Forest Layer Production Layer
Chemical
Chemical Species set
Wood
Chips
Fines
….
Bleached Pulp
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Biomass b composition
Wood = 1
Chips = 0
Fines = 0
….
Fores t Layer
Demand for Biomass
Forest Layer Production Layer
Chemical Biomass
Chemical Species set
Wood
Chips
Fines
….
Bleached Pulp
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Biomass b composition
Wood = 1
Chips = 0
Fines = 0
….
Fores t Layer
Demand for Biomass
Forest Layer Production Layer
Chemical Biomass
Chemical Species set
Wood
Chips
Fines
….
Bleached Pulp
Harvested Area
• Biomass b
• Age i
Cumulative Growth Parameter
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Biomass b composition
Wood = 1
Chips = 0
Fines = 0
….
Fores t Layer
Demand for Biomass
Forest Layer Production Layer
Chemical
Chemical Species set
Wood
Chips
Fines
….
Bleached Pulp
Biomass
Harvested Area
• Biomass b
• Age i
Cumulative Growth Parameter
𝑭𝑭𝒇,𝒃,𝒕𝒉𝒂𝒓𝒗𝒆𝒔𝒕𝒆𝒅 = 𝜂𝑏
ℎ𝑎𝑟𝑣𝑒𝑠𝑡𝑖𝑛𝑔 𝑮𝒓𝒐𝒘𝒕𝒉𝒇,𝒃,𝒊
𝒄𝒖𝒎𝒖𝒍𝒂𝒕𝒊𝒗𝒆𝑨𝒇,𝒃,𝒊,𝒕𝒉𝒂𝒓𝒗𝒆𝒔𝒕𝒆𝒅
𝑖 ∈ 𝐼
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Fores t Layer
Productivity
As forests have a non-linear growth with ageing…
A Cumulative Wood Production parameter is defined for each
Biomass in each Forest Unit in function of its Age.
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Fores t Layer
Productivity
As forests have a non-linear growth with ageing…
A Cumulative Wood Production parameter is defined for each
Biomass in each Forest Unit in function of its Age.
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Fores t Layer
Productivity
As forests have a non-linear growth with ageing…
Maximmum Value taken as
7 times the Producticity of
the Clone on year 3 in study
from Blinkey et al (2017)
A Cumulative Wood Production parameter is defined for each
Biomass in each Forest Unit in function of its Age.
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Fores t Layer
Productivity
As forests have a non-linear growth with ageing…
Maximmum Value taken as
7 times the Producticity of
the Clone on year 3 in study
from Blinkey et al (2017)
A Cumulative Wood Production parameter is defined for each
Biomass in each Forest Unit in function of its Age.
4 years taken as the inflection point
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Fores t Layer
Productivity
As forests have a non-linear growth with ageing…
Maximmum Value taken as
7 times the Producticity of
the Clone on year 3 in study
from Stape et al (2010)
A Cumulative Wood Production parameter is defined for each
Biomass in each Forest Unit in function of its Age.
4 years taken as the inflection point
Maximmum Age above which all properties are taken as constant
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Fores t Layer
Lands Parameters
Planted Area - Eucalyptus Available Land - Expansion
Source: IBA (2015) Source: Lossau et al (2015)
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Fores t Layer
Lands Parameters
Planted Area - Eucalyptus Available Land - Expansion
Source: IBA (2015) Source: Lossau et al (2015)
The Top 10 States with Eucalyptus Plantation will be taken for
evaluation for the Model added to Goias and Tocantins which are
relevant regarding Available Land.
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Fores t Layer
Lands Parameters
Planted Area - Eucalyptus Available Land - Expansion
Source: IBA (2015) Source: Lossau et al (2015)
The Top 10 States with Eucalyptus Plantation will be taken for
evaluation for the Model added to Goias and Tocantins which are
relevant regarding Available Land.
Set of Potential Forests Units Bahia Espírito Santo Goiás Maranhão Mato Grosso Mato Grosso do Sul Minas Gerais Paraná Rio Grande do Sul Santa Catarina São Paulo Tocantins >95% of Planted Eucalyptus >83% of Available Land
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Fores t Layer
Land balances
𝑨𝒇,𝒃,𝒊,𝒕𝑯𝒂𝒓𝒗𝒆𝒔𝒕
Area Available for Harvesting
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Fores t Layer
Land balances
𝑨𝒇,𝒃,𝒊−𝟏,𝒕−𝟏𝒑𝒍𝒂𝒏𝒕𝒆𝒅,𝑲𝑬𝑬𝑷
= 𝑨𝒇,𝒃,𝒊,𝒕𝑯𝒂𝒓𝒗𝒆𝒔𝒕
Area Available for Harvesting
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Fores t Layer
Land balances
−𝑨𝒇,𝒃,𝒊,𝒕𝑷𝒍𝒂𝒏𝒕𝒆𝒅,𝑲𝑬𝑬𝑷 𝑨𝒇,𝒃,𝒊−𝟏,𝒕−𝟏
𝒑𝒍𝒂𝒏𝒕𝒆𝒅,𝑲𝑬𝑬𝑷 = 𝑨𝒇,𝒃,𝒊,𝒕
𝑯𝒂𝒓𝒗𝒆𝒔𝒕
Area Available for Harvesting
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Fores t Layer
Land balances
−𝑨𝒇,𝒃,𝒊,𝒕𝑷𝒍𝒂𝒏𝒕𝒆𝒅,𝑲𝑬𝑬𝑷 𝑨𝒇,𝒃,𝒊−𝟏,𝒕−𝟏
𝒑𝒍𝒂𝒏𝒕𝒆𝒅,𝑲𝑬𝑬𝑷 = 𝑨𝒇,𝒃,𝒊,𝒕
𝑯𝒂𝒓𝒗𝒆𝒔𝒕
Area Available for Harvesting
+𝑨𝒇,𝒃,𝒊,𝒕𝑩𝑼𝒀
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Fores t Layer
Land balances
+𝑨𝒇,𝒃,𝒊,𝒕𝑩𝑼𝒀
=
−𝑨𝒇,𝒃,𝒊,𝒕𝑷𝒍𝒂𝒏𝒕𝒆𝒅,𝑲𝑬𝑬𝑷 𝑨𝒇,𝒃,𝒊−𝟏,𝒕−𝟏
𝒑𝒍𝒂𝒏𝒕𝒆𝒅,𝑲𝑬𝑬𝑷 = 𝑨𝒇,𝒃,𝒊,𝒕
𝑯𝒂𝒓𝒗𝒆𝒔𝒕
𝑨𝒇,𝒃,𝒕𝑷𝒍𝒂𝒏𝒕𝒆𝒅
𝑏 ∈ 𝑩
Area Available for Harvesting
Area Available for Plantation
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Fores t Layer
Land balances
+𝑨𝒇,𝒃,𝒊,𝒕𝑩𝑼𝒀
=
−𝑨𝒇,𝒃,𝒊,𝒕𝑷𝒍𝒂𝒏𝒕𝒆𝒅,𝑲𝑬𝑬𝑷 𝑨𝒇,𝒃,𝒊−𝟏,𝒕−𝟏
𝒑𝒍𝒂𝒏𝒕𝒆𝒅,𝑲𝑬𝑬𝑷 = 𝑨𝒇,𝒃,𝒊,𝒕
𝑯𝒂𝒓𝒗𝒆𝒔𝒕
−𝑨𝒇,𝒕𝑭𝑹𝑬𝑬,𝑲𝒆𝒆𝒑
𝑨𝒇,𝒕−1𝑭𝑹𝑬𝑬,𝑲𝒆𝒆𝒑
𝑨𝒇,𝒃,𝒕𝑷𝒍𝒂𝒏𝒕𝒆𝒅
𝑏 ∈ 𝑩
Area Available for Harvesting
Area Available for Plantation
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Fores t Layer
Land balances
+𝑨𝒇,𝒃,𝒊,𝒕𝑩𝑼𝒀
=
−𝑨𝒇,𝒃,𝒊,𝒕𝑷𝒍𝒂𝒏𝒕𝒆𝒅,𝑲𝑬𝑬𝑷 𝑨𝒇,𝒃,𝒊−𝟏,𝒕−𝟏
𝒑𝒍𝒂𝒏𝒕𝒆𝒅,𝑲𝑬𝑬𝑷 = 𝑨𝒇,𝒃,𝒊,𝒕
𝑯𝒂𝒓𝒗𝒆𝒔𝒕
−𝑨𝒇,𝒕𝑭𝑹𝑬𝑬,𝑲𝒆𝒆𝒑
𝑨𝒇,𝒕−1𝑭𝑹𝑬𝑬,𝑲𝒆𝒆𝒑
+ 𝑨𝒇,𝒃,𝒊,𝒕𝑯𝒂𝒓𝒗𝒆𝒔𝒕
𝑖 ∈ 𝐼 𝑖≠0
𝑏 ∈ 𝑩
𝑨𝒇,𝒃,𝒕𝑷𝒍𝒂𝒏𝒕𝒆𝒅
𝑏 ∈ 𝑩
Area Available for Harvesting
Area Available for Plantation
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Fores t Layer
Land balances
+𝑨𝒇,𝒃,𝒊,𝒕𝑩𝑼𝒀
=
−𝑨𝒇,𝒃,𝒊,𝒕𝑷𝒍𝒂𝒏𝒕𝒆𝒅,𝑲𝑬𝑬𝑷 𝑨𝒇,𝒃,𝒊−𝟏,𝒕−𝟏
𝒑𝒍𝒂𝒏𝒕𝒆𝒅,𝑲𝑬𝑬𝑷 = 𝑨𝒇,𝒃,𝒊,𝒕
𝑯𝒂𝒓𝒗𝒆𝒔𝒕
−𝑨𝒇,𝒕𝑭𝑹𝑬𝑬,𝑲𝒆𝒆𝒑
𝑨𝒇,𝒕−1𝑭𝑹𝑬𝑬,𝑲𝒆𝒆𝒑
+ 𝑨𝒇,𝒃,𝒊,𝒕𝑯𝒂𝒓𝒗𝒆𝒔𝒕
𝑖 ∈ 𝐼 𝑖≠0
𝑏 ∈ 𝑩
𝑨𝒇,𝒃,𝒕𝑷𝒍𝒂𝒏𝒕𝒆𝒅
𝑏 ∈ 𝑩
+𝑨𝒇,𝒕𝑭𝑹𝑬𝑬,𝒃𝒖𝒚
Area Available for Harvesting
Area Available for Plantation
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Fores t Layer
Land balances
+𝑨𝒇,𝒃,𝒊,𝒕𝑩𝑼𝒀
=
𝑨𝒇,𝒃,𝒊=0,𝒕𝑷𝒍𝒂𝒏𝒕𝒆𝒅,𝑲𝑬𝑬𝑷 = 𝑨𝒇,𝒃,𝒕
𝒑𝒍𝒂𝒏𝒕𝒂𝒅𝒂
−𝑨𝒇,𝒃,𝒊,𝒕𝑷𝒍𝒂𝒏𝒕𝒆𝒅,𝑲𝑬𝑬𝑷 𝑨𝒇,𝒃,𝒊−𝟏,𝒕−𝟏
𝒑𝒍𝒂𝒏𝒕𝒆𝒅,𝑲𝑬𝑬𝑷 = 𝑨𝒇,𝒃,𝒊,𝒕
𝑯𝒂𝒓𝒗𝒆𝒔𝒕
−𝑨𝒇,𝒕𝑭𝑹𝑬𝑬,𝑲𝒆𝒆𝒑
𝑨𝒇,𝒕−1𝑭𝑹𝑬𝑬,𝑲𝒆𝒆𝒑
+ 𝑨𝒇,𝒃,𝒊,𝒕𝑯𝒂𝒓𝒗𝒆𝒔𝒕
𝑖 ∈ 𝐼 𝑖≠0
𝑏 ∈ 𝑩
𝑨𝒇,𝒃,𝒕𝑷𝒍𝒂𝒏𝒕𝒆𝒅
𝑏 ∈ 𝑩
+𝑨𝒇,𝒕𝑭𝑹𝑬𝑬,𝒃𝒖𝒚
Area Available for Harvesting
Area Available for Plantation
Recent Planted
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Fores t Layer
Land balances
+𝑨𝒇,𝒃,𝒊,𝒕𝑩𝑼𝒀
=
𝑨𝒇,𝒃,𝒊=0,𝒕𝑷𝒍𝒂𝒏𝒕𝒆𝒅,𝑲𝑬𝑬𝑷 = 𝑨𝒇,𝒃,𝒕
𝒑𝒍𝒂𝒏𝒕𝒂𝒅𝒂
−𝑨𝒇,𝒃,𝒊,𝒕𝑷𝒍𝒂𝒏𝒕𝒆𝒅,𝑲𝑬𝑬𝑷 𝑨𝒇,𝒃,𝒊−𝟏,𝒕−𝟏
𝒑𝒍𝒂𝒏𝒕𝒆𝒅,𝑲𝑬𝑬𝑷 = 𝑨𝒇,𝒃,𝒊,𝒕
𝑯𝒂𝒓𝒗𝒆𝒔𝒕
−𝑨𝒇,𝒕𝑭𝑹𝑬𝑬,𝑲𝒆𝒆𝒑
𝑨𝒇,𝒕−1𝑭𝑹𝑬𝑬,𝑲𝒆𝒆𝒑
+ 𝑨𝒇,𝒃,𝒊,𝒕𝑯𝒂𝒓𝒗𝒆𝒔𝒕
𝑖 ∈ 𝐼 𝑖≠0
𝑏 ∈ 𝑩
𝑨𝒇,𝒃,𝒕𝑷𝒍𝒂𝒏𝒕𝒆𝒅
𝑏 ∈ 𝑩
+𝑨𝒇,𝒕𝑭𝑹𝑬𝑬,𝒃𝒖𝒚
Area Available for Harvesting
Area Available for Plantation
Recent Planted
Land Acquisition Costs taken from
Bacha et al (2016)
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Fores t Layer
Land balances
+𝑨𝒇,𝒃,𝒊,𝒕𝑩𝑼𝒀
=
𝑨𝒇,𝒃,𝒊=0,𝒕𝑷𝒍𝒂𝒏𝒕𝒆𝒅,𝑲𝑬𝑬𝑷 = 𝑨𝒇,𝒃,𝒕
𝒑𝒍𝒂𝒏𝒕𝒂𝒅𝒂
−𝑨𝒇,𝒃,𝒊,𝒕𝑷𝒍𝒂𝒏𝒕𝒆𝒅,𝑲𝑬𝑬𝑷 𝑨𝒇,𝒃,𝒊−𝟏,𝒕−𝟏
𝒑𝒍𝒂𝒏𝒕𝒆𝒅,𝑲𝑬𝑬𝑷 = 𝑨𝒇,𝒃,𝒊,𝒕
𝑯𝒂𝒓𝒗𝒆𝒔𝒕
−𝑨𝒇,𝒕𝑭𝑹𝑬𝑬,𝑲𝒆𝒆𝒑
𝑨𝒇,𝒕−1𝑭𝑹𝑬𝑬,𝑲𝒆𝒆𝒑
+ 𝑨𝒇,𝒃,𝒊,𝒕𝑯𝒂𝒓𝒗𝒆𝒔𝒕
𝑖 ∈ 𝐼 𝑖≠0
𝑏 ∈ 𝑩
𝑨𝒇,𝒃,𝒕𝑷𝒍𝒂𝒏𝒕𝒆𝒅
𝑏 ∈ 𝑩
+𝑨𝒇,𝒕𝑭𝑹𝑬𝑬,𝒃𝒖𝒚
Area Available for Harvesting
Area Available for Plantation
Recent Planted
Land Acquisition Costs taken from
Bacha et al (2016)
Operational Costs taken from IMEA
(2013)
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Fores t Layer
Forest Decisions
Planted Area to be Kept
Time O Years
12+ Years
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Fores t Layer
Forest Decisions
Planted Area to be Kept
Time
Time
Planted Area to be Bought
O Years
12+ Years
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Fores t Layer
Forest Decisions
Planted Area to be Kept
Time
Time
Planted Area to be Bought
Planted Area to be Harvested
Time
O Years
12+ Years
7 Years
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Fores t Layer
Forest Decisions
Planted Area to be Kept
Time
Time
Planted Area to be Bought
Planted Area to be Harvested
Free Area to be Planted
Time
Time
O Years
12+ Years
7 Years
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6. Opt imizat ion
Criteria
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Opt imiza t ion Cr i te r ia
Present Value
100 bi BRL
NPV of 58 bi BRL
Revenue Chemicals
Revenue Electricity Land Acquisition Investments
Non-Forest Logistics Productive Investments
Production Costs
Forest Operation Costs
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7. Concluding
Remarks
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Concluding Remarks
Forest Operations presents a relevant
Economic Potential and Land Expansion in
Brazil does not seems to be a Limiting Factor
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Concluding Remarks
Forest Operations presents a relevant
Economic Potential and Land Expansion in
Brazil does not seems to be a Limiting Factor
Market Demand and Prices are the most critical
parameters and their Uncertainty need to be
addressed in a proper way
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Concluding Remarks
Forest Operations presents a relevant
Economic Potential and Land Expansion in
Brazil does not seems to be a Limiting Factor
Market Demand and Prices are the most critical
parameters and their Uncertainty need to be
addressed in a proper way
Consideration of a more diverse Bio-based
Products Portfolio can provide alternatives for
building more Robust Solutions to the volatile
prices of Cellulose
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Concluding Remarks
Forest Operations presents a relevant
Economic Potential and Land Expansion in
Brazil does not seems to be a Limiting Factor
Market Demand and Prices are the most critical
parameters and their Uncertainty need to be
addressed in a proper way
Consideration of a more diverse Bio-based
Products Portfolio can provide alternatives for
building more Robust Solutions to the volatile
prices of Cellulose
Environmental Impacts needs to be properly
assessed and considered into the Decision
Framework
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Extra Slides
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References
ABTCP (2011). Análise comparativa do desempenho de fábricas de celulose e papel 2010
Bacha, C. J., Stege, A. L., & Harbs, R. (2016). Ciclos de preços de terras agrícolas no Brasil. Revista de Política Agrícola.
BB Investimentos. (2019). Nova Suzano: pronta para liderar.
Empresa de Pesquisa Energética. (2017). Anuário Estatístico de Energia Elétrica
CBIC - Câmara Brasileira da Indústria de Construção. (2019). Consumo, Produção e Valores de Materiais de Construção. Fonte: Banco de Dados:
http://www.cbicdados.com.br/menu/materiais-de-construcao/cimento
Eichler, P., Toledo, M., Vilares, M., Gomes, F., Lourega, R., Santos, G., . . . Santos, F. (2017). Potential assessment of eucalyptus grown for
biorefinery processes. Agronomy Science and Biotechnology, Volume 3, pp. 1-11.
Francis, D. W., Towers, M. T., & Browne, T. C. (2002). Energy Cost Reduction in the Pulp and Paper Industry. Pulp and Paper technical association of
Canada.
ANTT (2019) – Resolution 5.820/2018, adjusted by Resolution 5.839/2019, available at
http://www.antt.gov.br/cargas/arquivos_old/Tabelas_de_Precos_Minimos_do_Transporte_Rodoviario_de_Cargas.html
ANTAQ (2019) – Statistical Annuary – Available at http://web.antaq.gov.br/Anuario/
Blinkey, D., Campoe, O. C., Alvares, C., Carneiro, R. L., Cegatta, I., & Stape, J. L. (2017). The interactions of climate, spacing and genetics on
clonal Eucalyptus plantations across Brazil and Uruguay. Forest Ecology and Management 405, pp. 271-283
Fibria (2016) - Corporate Presentation – Investors Relations
Bergamini, M. L., Grossmann, I. E., Scenna, N., & Aguirre, P. (2008). An improved piecewise outer-approximation algorithm for the global
optimization of MINLP models involving concave and bilinear terms. Computers and Chemical Engineering 32, pp. 477-493.
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References
Kannangara, M. S. (2015). Development and integration of acid precipitation based lignin biorefineries in kraft pulping mills. Montreal:
Université de montréal
Lian, Z. T., Chua, K. J., & Chou, S. K. (2010). A thermoeconomic analysis of biomass energy for trigeneration. Applied Energy 87 , pp. 84–95.
Mao, H. (2002). Technical evaluation of a hardwood biorefinery using the "near-neutral" hemicellulose extraction process.
Lossau, S., Fischer, G., Tramberend, S., van Velthuizen, H., Kleinschimt, B., & Schomächer, R. (2015). Brazil's current and future land balances: Is
there residual land for bioenergy production? Biomass and Bioenergy 81, pp. 452-461.
Sixta, H., Potthast, A., & Kroyscheck, A. W. (2006). Chemical Pulping Process. Em H. Sixta, Handbook of Pulp. Weinheim: WILEY-VCHVerlag
GmbH&Co.
Suzano Papel e Celulose SA. (2018). Teleconferência de Resultados 4T2018.
Tran, H., & Vakkilainnen, E. K. (2008). The kraft chemcial recovery process. Tappi.
Gosselink, R. J. (2011). Lignin as a renewable aromatic resource for the chemical industry.
Huang, C., Ma, J., Zhang, W., Huang, G., & Yong, Q. (2018). Preparation of Lignosulfonates from Biorefinery Lignins by Sulfomethylation and
Their Application as a Water Reducer for Concrete. Polymers 10.
IBÁ. (2015). Anuário de Estatística Florestal.
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Storage Layer
Storage & Ports
The Storage Layer is useful for implementing a Minimum Storage
Policy that within this scope will not be considered
Internal Freights are taken from
Minimum Freight Policy from ANTT
(2019)
External Markets can only be reached
through Ports in Storage layer, whose
operations cost are given by ANTAQ
(2019)
Production Facilities and External
markets can not be Connected due to
Cost Parameter for this direct transfer
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Market Layer
Pulp Demand
Print & Write
Tissue Paper
Pulp Demand estimated through Installed Capacity of
Main Producers in Brazil for P&W and Tissue paper
accordingly to ABTCP (2017) and Prices are taken from
Suzano Investors Report (2018)
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Market Layer
Electricity Demand
Electricity Demand are taken from Statistical
Annuary by EPE (2017) considering 2.9% of
Substitution which corresponds to the Energy
Generated by Coal and Prices are taken as the
Historical Mean accordingly to the same
report.
Coal-based Electricity
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Market Layer
Lignin Demand
Lignin Demand will be represented by Cement Capacities in Brazil reported
by SNIC (2018) considering a 0.2% of addition reported by Huang et al
(2018) and Price of 1800 BRL/ton [1] accordingly to Gosselink (2011)
Lignin as Cement Additive
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Fores t Layer
Land Availability Estado
Área Total [kha]
Área Total [%]
Residual I [kha]
Residual I [%]
Residual II [kha]
Residual II [%]
Residual III [kha]
Residual III [%]
Minas Gerais 58,931 6.9% 19,629 22.9% 12,547 30.0% 12,547 33% Bahia 56,683 6.6% 9,003 10.5% 4,271 10.2% 4,271 11% Goias 34,185 4.0% 6,637 7.8% 3,482 8.3% 3,482 9% São Paulo 24,909 2.9% 4,426 5.2% 3,305 7.9% 3,305 9% Tocantins 27,931 3.3% 7,359 8.6% 2,775 6.6% 2,550 7% Maranhão 32,977 3.9% 4,823 5.6% 2,284 5.5% 1,879 5% Mato Grosso 90,853 10.7% 5,064 5.9% 2,362 5.6% 1,835 5% Mato Grosso do Sul 35,859 4.2% 2,347 2.7% 1,427 3.4% 1,427 4% Paraná 19,932 2.3% 1,692 2.0% 1,306 3.1% 1,306 3% Piauí 25,318 3.0% 3,380 3.9% 1,138 2.7% 1,138 3% Rio Grande do Sul 26,896 3.2% 2,080 2.4% 1,112 2.7% 1,112 3% Espírito Santo 4,623 0.5% 1,248 1.5% 794 1.9% 794 2% Rio de Janeiro 4,374 0.5% 1,410 1.6% 779 1.9% 779 2% Santa Catarina 9,523 1.1% 924 1.1% 576 1.4% 576 2% Pernambuco 9,872 1.2% 472 0.6% 236 0.6% 236 1% Ceará 14,984 1.8% 293 0.3% 176 0.4% 176 0% Paraíba 5,682 0.7% 236 0.3% 173 0.4% 173 0% Rio Grande do Norte 5,311 0.6% 230 0.3% 128 0.3% 128 0% Sergipe 2,197 0.3% 101 0.1% 46 0.1% 46 0% Alagoas 2,791 0.3% 49 0.1% 27 0.1% 27 0% Distrito Federal 582 0.1% 221 0.3% 12 0.0% 12 0% Rondônia 23,893 2.8% 681 0.8% 362 0.9% 0 0% Acre 16,512 1.9% 43 0.1% 39 0.1% 0 0% Amazonas 156,935 18.4% 2,315 2.7% 388 0.9% 0 0% Roraima 22,574 2.6% 4,270 5.0% 167 0.4% 0 0% Pará 124,289 14.6% 5,677 6.6% 1,880 4.5% 0 0% Amapá 14,099 1.7% 997 1.2% 49 0.1% 0 0% Total 852,715 85,607 41,841 37,799
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Product ion Layer
Conversion Technologies
Sixta (2006)
ABTCP (2011)
Mao (2012)
Kannangara (2015)
Tran & Vakkilainnnen (2008)
Francis et al (2002)
Lin et al (2010)
Eichler et al (2017)
Conversion Data taken from:
Chemical Utilities Costs taken from Brazilian Federal Tax Agency Import Data
Other Operation Costs taken from Suzano Investors Report (2018)
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Fores t Layer
Biomass Parameters
The best performer for Tropical Brazil (E. Urohyplla)
and Subtropical Brazil (E. Camadulensis x E. Grandis)
clones on study from Blinkey et al (2017) were choosen.
Biomass Species
Paraná, Santa Catarina and Rio Grande do Sul were taken as fully
populated by E. Camadulensis x E. Grandis and the Rest of Brazil
with E. Urophylla
E. Camadulensis x E. Grandis
E. Urophylla
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Fores t Layer
Age Distribution
All Forest Units were taken as having its planted area age with a
Normal Distribution with Mean Value of 5 years and Standard
Deviation of 2 years.
Maximmum Age above which
all properties are taken as constant