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A MILP Framework for Forest Systems Evaluation Biorefineries Design Bruno Theozzo & Moises Teles dos Santos
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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

A MILP Framework for Forest Systems Evaluat ion

Biorefineries Design

Bruno Theozzo & Moises Teles dos Santos

Page 2: 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

1. Genera l

Overview

Page 3: 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

Genera l Over v iew

Conventional Refinery

Crude Oil Refineries

Chemicals

Energy

Page 4: 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

Genera l Over v iew

Biorefineries

Biomass Biorefineries

Chemicals

Energy

Renewable

Renewable

Page 5: 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

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

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

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

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

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

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

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

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

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

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

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

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

2. Proposed

Framework

Page 18: 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

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

Page 19: 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

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

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

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

3. Layer

Market

Page 23: 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

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

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

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

4. Layer :

Production

Page 27: 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

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

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

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

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

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

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

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

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

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

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

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

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

Page 39: 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

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

Page 40: 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

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

Page 41: 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

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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Bruno Theozzo [email protected]

[email protected]

[email protected]

Moises Teles dos Santos [email protected]

Thank you!

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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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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


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