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Stock-Flow Consistent (SFC) model generation

Project description


Creation and solution of stock-flow consistent (SFC) models. Currently under construction.

This framework generates equations algorithmically based on the connections between Sector and Model objects. These equations are then solved using an iterative solution. The objective is that complex models with dozens of equations can be generated with a few lines of high level code. The user can then see how the equations arise from the sector behaviour.

For another take on SFC models in Python see:

Developed under Python 3.4, and is compatible with Python 2.7.

Road To Version 1.0

Another text file “RoadToVersion1.rst” describes the functionality that is aimed to be incorporated in Version 1.0 of sfc_models.

Version 0.4.0 is being released on 2017-03-06. This version involves a major refactoring of the code, and has changed behaviour.

  • The framework now injects a double underscore (‘__’) instead of a single one (‘_’) between the sector FullCode and the local variable name. For example, the household financial assets are now ‘HH__F’ instead of ‘HH_F’. Furthermore, the creation of local variables with ‘__’ is blocked. This means that the presence of ‘__’ in a variable name means that it is the full name of a variable; otherwise it is a local variable. (Or perhaps a global variable like ‘t’.)
  • An Equation class was created. It has replaced the strings held in the Equations member of the Sector class. It allows us to add terms to equations, so that the financial assets and income equations (see below) are always well-defined. This Equation class should be used by the solver, but it is not yet incorporated; there is no guarantee that such a change will be done before version 1.0 release.
  • A pre-tax income variable (‘INC’) was created. It is normally equal to cash inflows minus outflows, but there are some exceptions. (Household consumption, business dividends, etc.) The sectors in the framework do their best to classify cash flows as whether they affect income, but users may need to create exceptions (or additions) manually. (Previously, the income was ad hoc.)
  • A new module - sfc_models.sector was created; it pulled the Sector class out of the models module. The existing was renamed to My old example code that did “import *” from sfc_models.models no longer works. (?)

There are no major refactorings now expected to take place before version 1.0 release. As a result, the project status will be changed to ‘beta’ in Version 0.4. Methods that are not expected to be used by people who are not creating new classes will have ‘_’ added in front of their name (so they disappear from help()), but this is viewed as acceptable. Otherwise, variables and methods will only be renamed if they are obviously not following a standard pattern.

Sub-package: gl_book

The subpackage sfc_models.gl_book contains code to generate models from the text “Monetary Economics” by Wynne Godley and Marc Lavoie. Since the ultimate objective is to generate the equations algorithmically, these models are only used for comparative purposes.

The previously mentioned GitHub package by “kennt” consists of well-documented solutions of those models in IPython notebooks.

Solution Method

The single-period solution of a SFC model relies on market-clearing (not necessarily relying on price adjustments, unlike mainstream models). Market clearing relies on solving many simultaneous equations.

At present, the machine-generated code uses an iterative approach to solve x = f(x) (where x is a vector). We just passing an initial guess vector through f(x) and hope it converges.

This works for the simple models tested so far. The objective is to augment this by a brute-force search technique that relies upon economic intuition to reduce the dimension of the search space.


  • matplotlib: for plots in examples. (Essentially optional, may be required later if the solver algorithm needs beefing up.)

Documentation will be placed in the “docs” directory.

Examples are in the examples sub-package. Currently, in the form of scripts in examples.scripts; will develop a deployment function later.

The test coverage on the “master” branch is 100%, and the objective is to hold that standard. There are some sections that are effectively untestable, and there appears to be issues with some lines that are undoubtedly hit as being marked as unreached; they have been eliminated with:: # pragma: no cover

Change Log

  • 0.4.1 Fixed packaging problem from Version 0.4.0.
  • 0.4.0 Packaged incorrectly Multi-file Logger, initial (constant) equilibrium calculation, markets with multiple supply sources, custom functions. Equation objects used in model creation. Changed variable naming convention, eliminated the Sector.Equations member. Considerable refactoring, methods for developer use have been hidden with leading underscore. Example code cleanup.
  • 0.3.0 Rebuilt the solver, heavy refactoring, example installation, Godley & Lavoie example framework.
  • 0.2.1 Cleaned up examples layout.
  • Version 0.2 (Should have been 0.2.0 - oops) First deployment of package to PyPi. Base functionality operational, little documentation.
  • Earlier versions: Only available as source on Github.


Copyright 2016 Brian Romanchuk

Licensed under the Apache License, Version 2.0 (the “License”); you may not use this file except in compliance with the License. You may obtain a copy of the License at

Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an “AS IS” BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License.

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