March 7, 2019 #WorldInCommon AGENCE FRANÇAISE DE DÉVELOPPEMENT | FRENCH DEVELOPMENT AGENCY 0/69
#WorldInCommon
AGENCE FRANÇAISE DE DÉVELOPPEMENT | FRENCH DEVELOPMENT AGENCY
Outline 1 Introduction and motivation 2 The stock flow - - PowerPoint PPT Presentation
GEMMES R ESEARCH PROJECT An example: Coping With Collapse March 7, 2019 Florent Mc Isaacmcisaacf@afd.fr French Development AgencyAgence Franaise de Dveloppement #WorldInCommon AGENCE FRANAISE DE DVELOPPEMENT | FRENCH DEVELOPMENT
March 7, 2019 #WorldInCommon AGENCE FRANÇAISE DE DÉVELOPPEMENT | FRENCH DEVELOPMENT AGENCY 0/69
AGENCE FRANÇAISE DE DÉVELOPPEMENT | FRENCH DEVELOPMENT AGENCY
March 7, 2019 #WorldInCommon AGENCE FRANÇAISE DE DÉVELOPPEMENT | FRENCH DEVELOPMENT AGENCY 1/69
1 Introduction and motivation 2 The stock flow consistent approach 3 Coping with Collapse
The macroeconomic core The climate module Scope of analysis Scenario analysis
March 7, 2019 #WorldInCommon AGENCE FRANÇAISE DE DÉVELOPPEMENT | FRENCH DEVELOPMENT AGENCY 2/69
The "General Monetary and Multisectoral Macrodynamics for the Ecolog-
To do so, we build a sequence of models encompassing the relevant dy-
Modeling structures the debate by:
◮ feeding from quantitative and qualitative approaches ◮ allowing for model comparison
Hence modeling needs
◮ to be descriptive and not normative ◮ to be a tool for analysis and not the response ◮ to be pluralistic and multidisciplinary and not monolithic
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March 7, 2019 #WorldInCommon AGENCE FRANÇAISE DE DÉVELOPPEMENT | FRENCH DEVELOPMENT AGENCY 4/69
1 Introduction and motivation 2 The stock flow consistent approach 3 Coping with Collapse
The macroeconomic core The climate module Scope of analysis Scenario analysis
March 7, 2019 #WorldInCommon AGENCE FRANÇAISE DE DÉVELOPPEMENT | FRENCH DEVELOPMENT AGENCY 5/69
March 7, 2019 #WorldInCommon AGENCE FRANÇAISE DE DÉVELOPPEMENT | FRENCH DEVELOPMENT AGENCY 6/69
A rigorous accounting framework, based Copeland’s (1949) quadruple
A complex economic system with consistent feedback-loop between real
Possible economically unstable emergent trajectories.
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March 7, 2019 #WorldInCommon AGENCE FRANÇAISE DE DÉVELOPPEMENT | FRENCH DEVELOPMENT AGENCY 11/69
The building up of financial imbalances contributed to the financial crisis
If we’d been looking further ahead than two years, we might have seen
We are building a new dynamic macroeconomic model of financial bal-
The model contains six sectors: households, private non-financial com-
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1 Introduction and motivation 2 The stock flow consistent approach 3 Coping with Collapse Introduction Related Literature Modeling set-up
The macroeconomic core The climate module
Target achievements Modeling uncertainty Climate prospective
Scope of analysis Scenario analysis
Concluding remarks
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1 Introduction and motivation 2 The stock flow consistent approach 3 Coping with Collapse Introduction Related Literature Modeling set-up
The macroeconomic core The climate module
Target achievements Modeling uncertainty Climate prospective
Scope of analysis Scenario analysis
Concluding remarks
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March 7, 2019 #WorldInCommon AGENCE FRANÇAISE DE DÉVELOPPEMENT | FRENCH DEVELOPMENT AGENCY 16/69
Combine two sources of global instabilities, climate and finance, in a min-
Provide guidance for the implementation of public policy objectives in or-
Cope with climate as well as economic uncertainties in order to have
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In a business as usual scenario, climate change drives the global econ-
A price signal (carbon tax) provides indeed the right incentives to avoid
However, financial risks are not entirely precluded: in line with the Stern-
Our chances to achieve the Paris Agreement target stay, at most, below
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1 Introduction and motivation 2 The stock flow consistent approach 3 Coping with Collapse Introduction Related Literature Modeling set-up
The macroeconomic core The climate module
Target achievements Modeling uncertainty Climate prospective
Scope of analysis Scenario analysis
Concluding remarks
March 7, 2019 #WorldInCommon AGENCE FRANÇAISE DE DÉVELOPPEMENT | FRENCH DEVELOPMENT AGENCY 19/69
The Ramsey-Kass-Coopmans’ approach as a core macroeconomic model A climate feedback loop with a damage function A carbon price instrument to shape the energy shift
Endogenous technological progress (Moyer, 2014) Allocation of climate damages (Dietz and Stern, 2015) Finance and green policies (Dafermos, 2016)
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Endogenous business cycles as in Goodwin (1967) Minimal (bounded) rationality
◮ Sonnenschein-Mantel-Debreu (1975) or Chiappori and Ekeland (1999): “any-
thing can happen”
◮ Phenomenological approach relying on empirical data
Dynamic interaction of deep macroeconomic behaviors
◮ Lotka-Volterra relationship linking the employment rate to the wage share ◮ Short-term Phillips curve (Mankiw, 2010 or Krugman, 2014) ◮ Investment as a function of profit share ◮ Dynamics of corporates’ private debt
Multiplicity of long-term equilibria
◮ A Solovian steady-state ◮ A bad attractor leading to a breakdown in the long-run ◮ Asymptotic local stability becomes key
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Leontief production function of capital and labour. Behavioural aggregated dynamics for wages negotiations and investment
◮ Sonnenschein-Mantel-Debreu (1975): anything can happen. ◮ Phenomenological approach: behavoural function empirically estimated.
Accounting framework between economic aggregates: stock-flow consis-
Exogenous growth of the population and the technical progress. Breakdown to a reduced autonomous differential system between the
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The Short-term Phillips Curve (Mankiw, 2010):
The Investment Function:
The Banking Sector:
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The Short-term Phillips Curve (Mankiw, 2010).
The Investment Function : it evolves positively with the profit share.
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Phenomenological approach: φ(.) and κ(.) are empirically estimated. Sonnenschein-Mantel-Debreu (1975): anything can happen. Agent-based model.
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A good equilibrium locally stable:
◮ Positive employment rate and wage share, finite level of debt. ◮ Growth rate in line with the Solow or Harrod-Domar models.1
A bad equilibrium locally stable:
◮ Employment rate and wage share collapsing, infinite level of debt. ◮ Situation of economic crisis. 1The sum of the technical progress growth and the population growth.
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Figure: Phase diagram for the Goodwin model (employment rate λ vs wage share ω).
An employment rate above its “good equilibrium” value pushes up the
A wage share above its “good equilibrium” value pushes down the em-
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Expansion:
Slowdown:
Recovery:
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Figure: Dynamics of employment, wages, debt and output.
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Figure: Dynamics of employment, wages, debt and output.
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1 Introduction and motivation 2 The stock flow consistent approach 3 Coping with Collapse Introduction Related Literature Modeling set-up
The macroeconomic core The climate module
Target achievements Modeling uncertainty Climate prospective
Scope of analysis Scenario analysis
Concluding remarks
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◮ Non-neutrality of money ◮ Severe breakdowns do not appear as “black swan events” ◮ Emissions, carbon price and abatement technology (Nordhaus, 2016) ◮ Price dynamics under imperfect competition (Grasselli et al., 2014) ◮ Sigmoïd pattern of the global workforce (UN population scenarios, 2015) ◮ Dividends payments
◮ More convex damage functions (Weitzman, 2011) ◮ Allocation of environmental damages between output and capital (Dietz et al.,
2015)
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Households Productive Sector Banks Sum Balance Sheet Capital stock pK pK Deposits Mh Mc −M Loans −Lc Lc Equities E −Ef −Eb Sum (net worth) Xh Xf = 0 Xb = 0 X Transactions current capital Consumption −pC pC Investment pI −pI
[pY] Wages W −W Capital depr. −(δ + DK)pK (δ + DK)pK Carbon taxes pTf −pTf
−rcLc rcLc Bank’s dividends Πb −Πb Productive sector’s dividends Πd −Πd
rM Mh rM Mc −rM M Column sum (balance) Sh Sc −pI + (δ + DK)pK Sb Flow of Funds Change in capital stock p ˙ K p ˙ K Change in deposits ˙ Mh ˙ Mc − ˙ M Change in loans − ˙ Lc ˙ Lc Column sum (savings) Sh Sc Sb Change in equities ˙ Ef −(Sc + ˙ pK) Change in bank equity ˙ Eb −Sb Change in net worth Sh + ˙ E ˙ pK + p ˙ K
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Short term Phillips curve: ˙ w w = φ(λ) Dynamic of prices (Grasselli et al., 2014): ˙ p p = η(mω − 1) Investment behavior:
Dynamics of private debt:
Taylor rule:
Dynamics of capital:
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Joint production process incorporating climate damages
Public policies and aggregated profit
Endogenous choice of the emission reduction rate in the productive sec-
θ−1
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Real Output CO2 Emissions CO2 Accumulatjon Radiatjve Forcing Temperature Change Figure: Climate-economy interactions diagram.
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Endogenous industrial emissions:
◮ Proportional to real output Y ◮ Emission intensity of the economy: σ ◮ Emissions reduction rate: n
Exogenous emissions linked to land-use change Eland
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Layer AT
Atmosphere
Layer UP
Biosphere Upper part of the oceans
Layer LO
Lower part of the oceans
Three-Layer Model of CO2 Accumulation CO2 Emissions Radiative Forcing Figure: CO2 accumulation in a three-layer model.
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AT
UP
LO
COATinit
2
COUPinit
2
COATinit
2
COUPinit
2
COUPinit
2
COLOinit
2
COUPinit
2
COLOinit
2
2
2
2
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CO2 accumulation in the atmospheric layer:
2
2
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Upper Layer
Atmosphere Biosphere Upper part of the oceans
Lower Layer
Lower part of the oceans
Two-Layer Model of Mean Temperature Radiatjve Forcing Real Output Damage Figure: Dynamics of temperature.
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Energy Balanced A two-layer model:
◮ Atmosphere, biosphere, ocean upper level (temperature anomaly):
C ˙ T = F − ρT − γ∗(T − T0)
◮ Deep ocean (temperature anomaly T0):
C0 ˙ T0 = γ∗(T − T0)
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Layer AT
Atmosphere
Layer UP
Biosphere Upper part of the oceans
Layer LO
Lower part of the oceans
Three-Layer Model of CO2 Accumulation CO2 Emissions Radiative Forcing Figure: CO2 accumulation in a three-layer model.
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AT
UP
LO
COATinit
2
COUPinit
2
COATinit
2
COUPinit
2
COUPinit
2
COLOinit
2
COUPinit
2
COLOinit
2
2
2
2
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CO2 accumulation in the atmospheric layer:
2
2
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Upper Layer
Atmosphere Biosphere Upper part of the oceans
Lower Layer
Lower part of the oceans
Two-Layer Model of Mean Temperature Radiatjve Forcing Real Output Damage Figure: Dynamics of temperature.
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Energy Balanced A two-layer model:
◮ Atmosphere, biosphere, ocean upper level (temperature anomaly):
C ˙ T = F − ρT − γ∗(T − T0)
◮ Deep ocean (temperature anomaly T0):
C0 ˙ T0 = γ∗(T − T0)
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Figure: Tol (2018)
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0,0 0,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8 0,9 1,0 1 2 3 4 5 6 Damages (fraction of output) Temperature increase (°C) Nordhaus Weitzman Dietz and Stern
Figure: Shape of various damage functions
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1 Introduction and motivation 2 The stock flow consistent approach 3 Coping with Collapse Introduction Related Literature Modeling set-up
The macroeconomic core The climate module
Target achievements Modeling uncertainty Climate prospective
Scope of analysis Scenario analysis
Concluding remarks
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Nordhaus (2016) following a recalibration of the climate module of DICE:2
The study confirms past estimates of likely rapid climate change over the next century if there are not major climate-change policies. It suggests that it will be extremely difficult to achieve the 2◦C target of international agree- ments even if ambitious policies are introduced in the near term. The required carbon price needed to achieve current targets has risen over time as policies have been delayed.
Illustration:
1 2 3 4 1.5 3.1 4.5 6.0
Figure: Temperature increase in 2100 as a function of the climate sensitivity whenever zero net emission is reached in 2016 (blue line) or 2018 (red line).
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0.1 0.2 0.3 0.4 0.5
0.0 0.5 1.0
γpC βpC
4.0 °C 3.5 °C 3.0 °C 2.5 °C 2.0 °C
Figure: Heatmap in 2100 depending on the carbon price path in the Type 3 scenario (exponential case in the white line).
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1 Introduction and motivation 2 The stock flow consistent approach 3 Coping with Collapse Introduction Related Literature Modeling set-up
The macroeconomic core The climate module
Target achievements Modeling uncertainty Climate prospective
Scope of analysis Scenario analysis
Concluding remarks
March 7, 2019 #WorldInCommon AGENCE FRANÇAISE DE DÉVELOPPEMENT | FRENCH DEVELOPMENT AGENCY 58/69
◮ α, that drives the labor productivity growth, and consequently, the long-term
growth.
◮ S, the climate sensitivity parameter. ◮ Cup, the biosphere and upper ocean’s ultimate load capacity of absorption
CO2.
◮ In all our simulations, we test various damage functions between Nordhaus’s
and the Dietz and Stern’s.
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−0.04 −0.02 0.00 0.02 0.04 0.06 0.08 5 15 25 35 α Normal density µ = 0.0206 σ = 0.0112 2 4 6 8 0.0 0.2 0.4 S log−Normal density µ = 1.107 σ = 0.264 200 400 600 800 1000 0.000 0.002 0.004 Cup log−Normal density µ = 5.8855763 σ = 0.2512867
Figure: Probability density function of the parameters
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1 Introduction and motivation 2 The stock flow consistent approach 3 Coping with Collapse Introduction Related Literature Modeling set-up
The macroeconomic core The climate module
Target achievements Modeling uncertainty Climate prospective
Scope of analysis Scenario analysis
Concluding remarks
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Calibration over a reconstructed world economy (approx.
Prospective analysis through 4 classes of scenarios:3
Scenario No climate Baseline Low policy High policy Carbon tax (Weak pC)
Yes
Damage Type
Stern Stern Table: Scenarios considered for the prospective analysis
Where the public policies are
2016 and growing at a 2% rate per year
x%
3The scenarios listed in the presentation are drawn from a broader range assessed in this study.
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2020 2040 2060 2080 2100 100 300 500
Output
2020 2040 2060 2080 2100
2 4 6
Real growth
2020 2040 2060 2080 2100 1 2 3 4 5 6
Nominal interest rate (in %)
2020 2040 2060 2080 2100
2 4 6
Inflation rate
2020 2040 2060 2080 2100 1 2 3 4 5
Debt-to-output ratio
2020 2040 2060 2080 2100 0.0 0.2 0.4 0.6 0.8 1.0
Employment rate
Figure: [0.25; 0.75] probability interval of the No climate scenario with a damage-to-capital ratio of 0% in black shades (medians in solid lines)
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2020 2040 2060 2080 2100 100 200 300 400 500 600
Output
2020 2040 2060 2080 2100
2 4 6
Real growth
2020 2040 2060 2080 2100 1 2 3 4 5 6
Nominal interest rate (in %)
2020 2040 2060 2080 2100
2 4 6
Inflation rate
2020 2040 2060 2080 2100 1 2 3 4 5
Debt-to-output ratio
2020 2040 2060 2080 2100
2 4
Public deficit-to-ouput ratio
2020 2040 2060 2080 2100 50 100 150 200
Emissions
2020 2040 2060 2080 2100 1 2 3 4 5 6
Temperature
Figure: [0.25; 0.75] probability interval of the Baseline, Low policy and High policy scenarios with a damage-to-capital ratio of 0% in red, purple and blue shades (medians in solid lines)
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Baseline Low policy High policy 2 4 6 0% 33% 0% 33% 0% 33%
Share of damages to capital 0% 33% Year 2050 2100
Figure: Probability density function of the temperature anomaly ratio in 2050 (dark blue) and 2100 (light blue).
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1 Introduction and motivation 2 The stock flow consistent approach 3 Coping with Collapse Introduction Related Literature Modeling set-up
The macroeconomic core The climate module
Target achievements Modeling uncertainty Climate prospective
Scope of analysis Scenario analysis
Concluding remarks
March 7, 2019 #WorldInCommon AGENCE FRANÇAISE DE DÉVELOPPEMENT | FRENCH DEVELOPMENT AGENCY 67/69
We have developed of a stock-flow consistent monetary integrated as-
Inaction would most likely lead to a global collapse of the economic sys-
Limited action (carbon price only) allows to avoid most climate damages
Wider public involvement (carbon price and subsidies) is more likely to
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Develop more robust multivariate estimation and calibration methods (Thorn-
Estimate behavioral functions by taking into consideration dataset with
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AGENCE FRANÇAISE DE DÉVELOPPEMENT | FRENCH DEVELOPMENT AGENCY
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14/57:59, 2014. Stephen Burgess, Oliver Burrows, Antoine Godin, Stephen Kinsella, and Stephen Millard. A Dynamic Model of Fi- nancial Balances for the United Kingdom. SSRN Scholarly Paper ID 2835386, Social Science Research Network, Rochester, NY, September 2016. URL ❤tt♣s✿✴✴♣❛♣❡rs✳ssr♥✳❝♦♠✴❛❜str❛❝t❂✷✽✸✺✸✽✻. Morris A. Copeland. Social Accounting for Moneyflows. The Accounting Review, 24(3):pp. 254–264, 1949. Gaël Giraud, Florent Mc Isaac, Emmanuel Bovari, and Ekaterina Zatsepina. Coping with the Collapse: A Stock- Flow Consistent Monetary Macrodynamics of Global Warming. 2016. URL ❤tt♣✿✴✴♥❡✇✳♣✐①❡❧✐✉♠✳❢r✴❝❤❛✐r✴ ✇♣✲❝♦♥t❡♥t✴✉♣❧♦❛❞s✴✷✵✶✻✴✵✾✴❝♦♣✐♥❣✲❝♦❧❧❛♣s❡✲❥✉❧②✳♣❞❢.
James Tobin. Money and Finance in the Macroeconomic Process. Journal of Money, Credit and Banking, 14(2):pp. 171–204, 1982.