sd-dsl/sd_dsl_mathematics/sd_dsl_mathematics.ipynb

{
 "cells": [
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "---\n",
    "title: The Mathematics Underlying The System Dynamics Libary\n",
    "description: A closer look at the mathematics underlying the System Dynamics libary \n",
    "keywords: system dynamics, systemdynamics, sd dsl, bptk, bptk-py, python, business simulation\n",
    "eval: false\n",
    "execute: \n",
    "  enabled: false\n",
    "---"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# The Mathematics Underlying The System Dynamics Library"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "One of the nice features of System Dynamics is that each element in a System Dynamics model has a precise mathematical definition.\n",
    "\n",
    "The computationally relevant elements in a System Dynamics model are:\n",
    "\n",
    "* Stocks\n",
    "* Flows\n",
    "* Converters\n",
    "* Constants"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Each stocks represents a difference equation, where the value of a stock $S$ at time $t$ depends on its value at time $t-dt$ plus the net inflow per $dt$:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\\begin{equation*}\n",
    "Stock(t)=Stock(t-dt)+dt \\times \\sum_{Inflows}Inflow(t-dt)-dt \\times \\sum_{Outflows}Outflow(t-dt)\n",
    "\\end{equation*}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Assuming the simulation starts at time $t_0$, we need to define the inital value of the stock:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\\begin{equation*}\n",
    "Stock(t_0)=initial\\_value\n",
    "\\end{equation*}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note that stocks only depend on their inital value and the value of their flows since. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Flows are functions of their input and may or may not depend on time. Any model element can be an input to a flow."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\\begin{equation*}\n",
    "Flow(t) = function(input_1(t),...,input_n(t),t)\n",
    "\\end{equation*}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Constants are special cases of converters. Flows are mathematically equivalent to converters - the only difference is that flows can flow in to our out of stocks, while converters cannot."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\\begin{equation*}\n",
    "Converter(t) = function(input_1(t),...,input_n(t),t)\n",
    "\\end{equation*}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "That's really all there is to defining the equations for a System Dyamics model.\n",
    "\n",
    "Using the SD DSL, you don't need to worry about formulating the equations for yourself, because this is done for you under the hood by the framework.\n",
    "\n",
    "But it is important that you understand what the elements stand for.\n",
    "\n",
    "## Turning Difference Equations into Integral Equations\n",
    "\n",
    "If you have a little mathematical background you will have noticed that we could rewrite the difference equation for a stock as follows:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\\begin{equation*}\n",
    "\\frac{Stock(t)-Stock(t-dt)}{dt} =\\sum_{Inflows}Inflow(t-dt)-\\sum_{Outflows}Outflow(t-dt)\n",
    "\\end{equation*}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If we let $dt$ get infinitesimally small, we end up with an ordinary differential equation (ODE) which shows that the derivative of the stock (it's rate of change) is defined by net difference between its inflows and outflows:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\\begin{equation*}\n",
    "\\frac{dStock(t)}{dt}=\\sum_{Inflows}Inflow(t-dt)-\\sum_{Outflows}Outflow(t-dt)\n",
    "\\end{equation*}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "One consequence of this is that we can use System Dynmica models to numerically solve ordinary differential equations - let's look at a concrete example, the *[Harmonic Oscillator](https://en.wikipedia.org/wiki/Harmonic_oscillator)*"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example: The Harmonic Oscillator"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A simple example for a harmonic oscillator is a mass on a spring. The force exerted by the spring on the mass is proportional to position of the mass: the further the mass is pulled from the equilibrium position, the stronger the force.\n",
    "\n",
    "The proportional factor is called the spring constant or the *Stiffness* of the spring.\n",
    "\n",
    "![Weight on a Spring](spring.svg)\n",
    "\n",
    "Mathematically we can write this as:\n",
    "\n",
    "\\begin{equation*}\n",
    "Force =- Stiffness * Position\n",
    "\\end{equation*}\n",
    "\n",
    "Knowing that the force exerted is defined as mass multiplied by the acceleration of the mass, this gives us the following equation:\n",
    "\n",
    "\\begin{equation*}\n",
    "Mass \\times Acceleration =- Stiffness * Position\n",
    "\\end{equation*}\n",
    "\n",
    "And because Acceleration is the second derivative of the position, we end up with the following ordinary differential equation for the harmonic oscillator:\n",
    "\n",
    "\\begin{equation*}\n",
    "\\frac{d^2Acceleration}{dt^2} =- \\frac{Stiffness}{Mass} * Position\n",
    "\\end{equation*}\n",
    "\n",
    "This differential equation has an analytical solution:\n",
    "\n",
    "\\begin{equation*}\n",
    "Position(t) = \\cos(t \\times \\sqrt \\frac{Stiffness}{Mass} )\n",
    "\\end{equation*}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's see how we could model this using System Dynamics: the flow of a stock is equivalent to the first derivative ... so in order to model the second derivative, we must explicitly model the first derivative of the position, which is its velocity.\n",
    "\n",
    "Hence the differential equation above is equivalent to the following diagram:\n",
    "\n",
    "![Stock and Flow Diagram of Harmonic Oscillator](harmonic_oscillator.svg)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Using the SD DSL, we can express the diagram as follows:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from BPTK_Py import Model\n",
    "from BPTK_Py import sd_functions as sd\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First we set up the model:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "model = Model(starttime=0.0,stoptime=10.0,dt=0.001,name='Oscillator')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Then we declare all the model elements:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "# elements\n",
    "position = model.stock(\"position\")\n",
    "velocity = model.stock(\"velocity\")\n",
    "change_in_position = model.biflow(\"change_in_position\")\n",
    "change_in_velocity = model.biflow(\"change_in_velocity\")\n",
    "acceleration= model.converter(\"acceleration\")\n",
    "mass = model.constant(\"mass\")\n",
    "stiffness = model.constant(\"stiffness\")\n",
    "\n",
    "analytical_solution = model.converter(\"analytical_solution\")\n",
    "diff = model.converter(\"diff\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Once we've declared the elements, we can define their meaning by setting up the equations – note that we also define an equation for the analytical solution, so that we can compare results:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "# equations\n",
    "\n",
    "position.initial_value = 1.0\n",
    "position.equation = change_in_position\n",
    "\n",
    "change_in_position.equation = velocity\n",
    "\n",
    "velocity.initial_value = 0.0\n",
    "velocity.equation = change_in_velocity\n",
    "\n",
    "change_in_velocity.equation = acceleration\n",
    "\n",
    "acceleration.equation = -mass*stiffness*position\n",
    "\n",
    "mass.equation = 1.0\n",
    "stiffness.equation = 1.0\n",
    "\n",
    "analytical_solution.equation= (-1)*sd.cos(sd.pi()+sd.time())\n",
    "\n",
    "diff.equation=position-analytical_solution"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "from BPTK_Py import bptk\n",
    "bptk=bptk()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In order to plot the equations it is easiest to set up a scenario:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "bptk.register_model(model)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
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",
      "text/plain": [
       "<Figure size 2000x1000 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "bptk.plot_scenarios(\n",
    "    scenario_managers=[\"smOscillator\"],\n",
    "    scenarios=[\"base\"],\n",
    "    equations=[\"position\",\"analytical_solution\"])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The numerical solution is quite precise (and the precision can be increased further by decreasing dt) - you can see nicely in the following graph that the error increases over time:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 2000x1000 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "bptk.plot_scenarios(\n",
    "    scenario_managers=[\"smOscillator\"],\n",
    "    scenarios=[\"base\"],\n",
    "    equations=[\"diff\"])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = bptk.plot_scenarios(\n",
    "    scenario_managers=[\"smOscillator\"],\n",
    "    scenarios=[\"base\"],\n",
    "    equations=[\"diff\"],return_df=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "There are no erros greater than 0.004:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>diff</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>t</th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "Empty DataFrame\n",
       "Columns: [diff]\n",
       "Index: []"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df[df[\"diff\"] > 0.004]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "But 672 out of 10,000 errors > 0.003:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>diff</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>t</th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>6.097</th>\n",
       "      <td>0.003000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6.098</th>\n",
       "      <td>0.003001</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6.099</th>\n",
       "      <td>0.003002</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6.100</th>\n",
       "      <td>0.003003</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6.101</th>\n",
       "      <td>0.003004</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6.764</th>\n",
       "      <td>0.003005</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6.765</th>\n",
       "      <td>0.003004</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6.766</th>\n",
       "      <td>0.003002</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6.767</th>\n",
       "      <td>0.003001</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6.768</th>\n",
       "      <td>0.003000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>672 rows × 1 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "           diff\n",
       "t              \n",
       "6.097  0.003000\n",
       "6.098  0.003001\n",
       "6.099  0.003002\n",
       "6.100  0.003003\n",
       "6.101  0.003004\n",
       "...         ...\n",
       "6.764  0.003005\n",
       "6.765  0.003004\n",
       "6.766  0.003002\n",
       "6.767  0.003001\n",
       "6.768  0.003000\n",
       "\n",
       "[672 rows x 1 columns]"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df[df[\"diff\"] > 0.003]"
   ]
  }
 ],
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