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Canada SFC Macroeconomic Model

A Stock-Flow Consistent (SFC) macroeconomic model for Canada built with the Bimets R package, featuring automated data retrieval from Statistics Canada.

πŸ“‹ Overview

This project provides a complete implementation of a Stock-Flow Consistent macroeconomic model for the Canadian economy. The model follows the Godley-Lavoie framework and includes:

  • Automated data collection from Statistics Canada via the cansim package
  • Econometric estimation of behavioral equations
  • Dynamic simulation capabilities
  • Policy scenario analysis tools
  • Comprehensive documentation and examples

πŸš€ Quick Start

Prerequisites

# Install required packages
install.packages(c("bimets", "cansim", "dplyr", "tidyr", "zoo", "ggplot2"))

Basic Usage

Option 1: Full Model with Real Data

# Load the main script
source("canada_sfc_model.R")

# Run the complete analysis
results <- run_canada_sfc_model()

# The model will:
# 1. Download data from Statistics Canada
# 2. Estimate behavioral equations
# 3. Simulate the model
# 4. Generate diagnostic plots

Option 2: Simple Example (No Internet Required)

# Run the simplified example with synthetic data
source("canada_sfc_simple_example.R")

# This provides a quick demonstration without requiring
# access to Statistics Canada databases

πŸ“ File Structure

β”œβ”€β”€ canada_sfc_model.R              # Main model implementation
β”œβ”€β”€ canada_sfc_simple_example.R     # Simplified example script
β”œβ”€β”€ SFC_MODEL_DOCUMENTATION.md      # Comprehensive documentation
└── README.md                       # This file

πŸ”§ Model Components

Behavioral Equations (Estimated)

  1. Consumption: C = f(Disposable Income, Lagged Consumption)
  2. Investment: I = f(GDP Change, Lagged Investment)
  3. Exports: X = f(Lagged GDP, Lagged Exports)
  4. Imports: M = f(GDP, Lagged Imports)
  5. Wages: W = f(GDP, Lagged Wages)

Accounting Identities

  1. GDP: Y = C + I + G + X - M
  2. Disposable Income: YD = Y - T
  3. Taxes: T = ΞΈ Γ— Y
  4. Government Balance: GB = T - G
  5. Net Lending: NLB = (Y - C - T) + GB

πŸ“Š Data Sources

The model uses official Statistics Canada data from the following tables:

Variable Table Description
GDP 36-10-0104-01 Expenditure-based GDP
Consumption 36-10-0104-01 Household consumption
Investment 36-10-0104-01 Gross fixed capital formation
Government 36-10-0104-01 Government expenditure
Exports/Imports 36-10-0104-01 Trade in goods & services
Wages 36-10-0112-01 Compensation of employees
Employment 14-10-0287-01 Labour force statistics

πŸ“ˆ Example Output

Estimation Results

Consumption Equation:
  C = 50000 + 0.65*YD + 0.30*C(-1)
  RΒ² = 0.98

Investment Equation:
  I = 20000 + 1.2*(Y-Y(-1)) + 0.45*I(-1)
  RΒ² = 0.85

[Additional equations...]

Model Fit

Simulation Period: 2020 Q1 - 2024 Q4
RMSE: 15,234
MAE: 11,890
MAPE: 0.52%

🎯 Policy Simulations

Example 1: Government Spending Shock

# 10% increase in government spending
scenarios <- run_policy_scenarios(results$model, results$data)

# Calculate fiscal multiplier
multiplier <- calculate_multiplier(scenarios$scenario1)

Example 2: Tax Policy Change

# Increase tax rate from 25% to 30%
model_tax <- modify_tax_rate(results$model, new_rate = 0.30)
simulate_and_compare(model_tax, results$model)

πŸ“– Documentation

For detailed information, see:

  • SFC_MODEL_DOCUMENTATION.md: Complete technical documentation
  • Model equations: Mathematical specifications
  • Data sources: Detailed table descriptions
  • Estimation methods: Econometric approach
  • Extensions: Ideas for model enhancement

πŸ” Key Features

Stock-Flow Consistency

  • All flows come from somewhere and go somewhere
  • Complete accounting framework
  • No black holes or white rabbits

Empirical Calibration

  • Real data from Statistics Canada
  • Econometric estimation
  • Quarterly frequency (2000-2024)

Dynamic Simulation

  • Forward-looking simulations
  • Policy scenario analysis
  • Multiplier calculations

Reproducibility

  • Automated data retrieval
  • Documented code
  • Version-controlled

πŸ› οΈ Advanced Usage

Custom Model Specification

# Define custom behavioral equation
custom_model <- "
BEHAVIORAL> C
EQ> C = a1 + a2*YD + a3*TSLAG(C,1) + a4*WEALTH
COEFF> a1 a2 a3 a4
"

# Add to model and estimate
model <- add_equation(model, custom_model)
model <- ESTIMATE(model)

Extract Specific Results

# Get coefficient estimates
coefficients <- get_coefficients(results$model)

# Get simulation results
gdp_forecast <- results$model$simulation$Y

# Calculate impulse responses
irf <- impulse_response(results$model, shock = "G", periods = 20)

Export Results

# Export to CSV
write.csv(coefficients, "estimates.csv")

# Export plots
pdf("gdp_simulation.pdf")
plot(results$model$simulation$Y)
dev.off()

# Save complete model
save(results, file = "canada_model.RData")

πŸ“š Theoretical Background

This model is based on the Stock-Flow Consistent (SFC) modeling approach developed by:

  • Wynne Godley & Marc Lavoie (2007). Monetary Economics: An Integrated Approach
  • Modern Post-Keynesian macroeconomic theory
  • National accounting principles
  • Flow of funds analysis

Key Principles

  1. Accounting Consistency: Every financial asset is a liability for someone else
  2. Flow Consistency: All income flows must balance
  3. Stock Consistency: All balance sheets must balance
  4. Time Consistency: Stocks and flows are properly linked over time

πŸ”¬ Validation and Testing

The model has been validated through:

  • βœ… Historical simulation (2000-2024)
  • βœ… Out-of-sample forecasting
  • βœ… Accounting identity checks
  • βœ… Comparison with official statistics
  • βœ… Policy scenario plausibility

⚠️ Limitations

This is a simplified model that:

  • Abstracts from financial sector details
  • Treats government spending as exogenous
  • Uses linear specifications
  • Ignores supply-side constraints
  • Simplifies the foreign sector

See documentation for detailed discussion of limitations and possible extensions.

🀝 Contributing

Ideas for contributions:

  • Add financial sector
  • Incorporate monetary policy
  • Expand foreign sector
  • Add regional disaggregation
  • Improve estimation techniques

πŸ“ž Support

For issues or questions:

  1. Check the documentation
  2. Review the simple example
  3. Consult Bimets package documentation
  4. Check Statistics Canada data availability

πŸ“„ License

This model is provided for educational and research purposes.

πŸ™ Acknowledgments

  • Statistics Canada for comprehensive economic data
  • Bimets package developers for econometric tools
  • Godley & Lavoie for the SFC modeling framework
  • R community for statistical computing tools

πŸ“… Version History

  • v1.0 (2025-10): Initial release
    • Basic SFC model structure
    • Statistics Canada data integration
    • Policy simulation capabilities
    • Documentation and examples

πŸ”— Resources

Bimets Package

Statistics Canada

SFC Modeling


Created: October 2025
Language: R
Dependencies: bimets, cansim, dplyr, tidyr, zoo, ggplot2

For the latest version and updates, check the project repository.

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A Stock Flow Consistent (SFC) Macroeconomic Model for Canada using the bimets R package.

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