The potential and cost of increasing forest carbon sequestration in Sweden
Jinggang Guo, Peichen Gong Department of Forest Economics, CERE, SLU SAEE 2016, Luleå
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The potential and cost of increasing forest carbon sequestration in Sweden Jinggang Guo, Peichen Gong Department of Forest Economics, CERE, SLU SAEE 2016, Lule 00 Forests: enormous carbon sinks 00 Forests: enormous carbon
Jinggang Guo, Peichen Gong Department of Forest Economics, CERE, SLU SAEE 2016, Luleå
00 Forests: enormous carbon sinks
00 Forests: enormous carbon sinks
Two questions
Two conflicting demands
01 A previous study
Backéus et al. (2005)
million tonnes when the carbon price is zero
02 Our Method
Two differences
Basic model
value; use the logistic function of forest age to calculate the non-timber benefits
needs to be optimized to capture the forest owners’ responses to policy changes
02 Our Method
Objective function max
𝛽1,𝛽2,𝛽3 𝑎 = 𝑂𝑄𝑊 𝑢𝑗𝑛𝑐𝑓𝑠 + 𝑂𝑄𝑊 𝑜𝑝𝑜−𝑢𝑗𝑛𝑐𝑓𝑠
= 𝑄 𝑟; 𝛾𝑢 𝑒𝑟 − 𝑑 𝑌𝑢, 𝑅𝑢
𝑡 𝑅𝑢
𝑡
𝑓−𝑠𝑢
𝑈 𝑢=1
+ 𝑆 𝑌𝑈+1 +
1000 1+𝑓
60−𝑏 15
𝐵𝑢,𝑏𝑓−𝑠𝑢
120 𝑏=1 𝑈 𝑢=1
𝑡 = 𝛽1 𝐽𝑢 𝛽2 𝑄𝑢 𝛽3 Aggregate supply of timber
𝑄𝑢 = 𝛾1(𝑅𝑢
𝑒)𝛾2 Inverse timber demand function
𝑅𝑢
𝑡 = 𝑅𝑢 𝑒 Market clearing condition
𝑌𝑢+1 = 𝐻 𝑌𝑢, 𝑅𝑢
𝑡 Growth function of the forest
𝑌1 = 𝑌0 Initial forest condition
02 Our Method
Adding carbon payment
𝐷𝑏𝑠𝑐𝑝𝑜 𝑄𝑏𝑧𝑛𝑓𝑜𝑢 = 𝑄
𝑑 × 𝑊 𝑢+1 − 𝑊 𝑢 × 𝜃
𝑄
𝑑 = carbon price (rate of payment)
𝑊
𝑢 = standing volume of timber in the forest at time t
η = biomass expansion parameter (t CO2/m3)
02 Our Method
Scenario setting Label Carbon price (SEK/tonne CO2) Description SC0 Serve as a benchmark SC1 170 SEK ($20) A wide range of CO2 prices to examine the interaction between forest sequestration and carbon price SC2 340 SEK ($40) SC3 510 SEK ($60) SC4 680 SEK ($80) SC5 1428 SEK ($168) Carbon tax in Sweden
02 Our Method
New objective function max
𝛽1,𝛽2,𝛽3 𝑎 = 𝑂𝑄𝑊 𝑢𝑗𝑛𝑐𝑓𝑠 + 𝑂𝑄𝑊 𝑜𝑝𝑜−𝑢𝑗𝑛𝑐𝑓𝑠 + 𝑂𝑄𝑊 𝑑−𝑡𝑢𝑝𝑠𝑏𝑓
where 𝑂𝑄𝑊
𝑢𝑗𝑛𝑐𝑓𝑠 =
𝑄 𝑟; 𝛾𝑢 𝑒𝑟 − 𝑑 𝑌𝑢, 𝑅𝑢
𝑡 𝑅𝑢
𝑡
𝑓−𝑠𝑢
𝑈 𝑢=1
+ 𝑆 𝑌𝑈+1 𝑂𝑄𝑊
𝑜𝑝𝑜−𝑢𝑗𝑛𝑐𝑓𝑠 = 1000 1+𝑓
60−𝑏 15
𝐵𝑢,𝑏𝑓−𝑠𝑢
120 𝑏=1 𝑈 𝑢=1
𝑂𝑄𝑊
𝑑−𝑡𝑢𝑝𝑠𝑏𝑓 =
𝑄
𝑑 × 𝑊 𝑢+1 − 𝑊 𝑢 × 𝜃 𝑓−𝑠𝑢 𝑈 𝑢=1
03 Result
Timber production
Pc=0 Pc=20 Pc=168
03 Result
Forest sequestration
90 190 290 390 490 590 2015 2025 2035 2045 2055 2065 2075 2085 2095 2105 2115 stored carbon (million tonnes) Accumulative net CO2 sequestration with different carbon prices Pc=0 Pc-20 Pc=40 Pc=60 Pc=80 Pc=168
Baseline Alternatives
03 Result
Sequestration supply curve
250 500 750 1000 1250 1500 20 40 60 80 100 120 140 160 180 200 220 240 Carbon Price (SEK/tonne CO2) Increase in net carbon sequestration (million tonne CO2) 2015-2020 2015-2030 2015-2040 2015-2050
Annual sequestration during the period from 2015 to 2020, 2030, 2040 and 2050 will be 5.00, 4.89, 4.66 and 4.22 million tonnes of CO2 when the carbon price is $80 (SEK 680) per tonne of CO2
03 Result
Welfare change
CO2 price Consumer surplus Producer surplus Non-timber benefits CO2 sequestration Social cost of sequestration SEK/tonne Billion SEK million tonne SEK/tonne 1169.7 425.8 156.8 153.8 170 ($ 20) 1159.8 432.1 157.6 184.0 95.8 340 ($ 40) 1153.0 436.9 158.2 210.0 73.7 510 ($ 60) 1132.6 450.8 160.0 276.9 71.5 680 ($ 80) 1121.7 456.8 160.7 301.4 88.6 1428 ($ 168) 1105.9 468.2 162.1 372.0 74.0
The direct cost of increasing sequestration with a carbon price from 510-680 SEK/tonne will lead to extra cost of 71-88 SEK/tonne in term of the reduction of total surplus.
04 Conclusions
Summary
the effect will gradually fade away with time passing by.
but the deadweight loss is not that much. So paying for sequestration can act as a short term policy instrument to reduce CO2 .