7/30/2019 Subscripting in Vensim 2 -- Introducing, Progressing Between, Mapping and Creating Subranges of Subscripts

1/41

Subscripting in Vensim 2:

Subscript Introduction, Selection,

Progression & Mapping, Subranging

Nathaniel Osgood

CMPT 858

March 22, 2011

7/30/2019 Subscripting in Vensim 2 -- Introducing, Progressing Between, Mapping and Creating Subranges of Subscripts

2/41

A Common Pattern in Aggregate Models:

Lattice Structure

Unexposed Income

Decile 1 Education

Decile 1

Unexposed Income

Decile 2 Education

Decile 1

Unexposed Income

Decile 3 Education

Decile 1

Unexposed Income

Decile 4 Education

Decile 1Income Change 1

Education Decile 1

Income Change 2

Education Decile 1

Income Change 3

Education Decile 1

Unexposed Income

Decile 1 Education

Decile 2

Unexposed Income

Decile 2 Education

Decile 2

Unexposed Income

Decile 3 Education

Decile 2

Unexposed Income

Decile 4 Education

Decile 2Income Change 1

Education Decile 2

Income Change 2

Education Decile 2

Income Change 3

Education Decile 2

Education Rise FromDecile 1 to 2 for Income

Decile 1

Education Rise FromDecile 1 to 2 for Income

Decile 2

Education Rise FromDecile 1 to 2 for Income

Decile 3

Education Rise FromDecile 1 to 2 for Income

Decile 4

Unexposed Income

Decile 1 Education

Decile 3

Unexposed Income

Decile 2 Education

Decile 3

Unexposed Income

Decile 3 Education

Decile 3

Unexposed Income

Decile 4 Education

Decile 3Income Change 1

Education Decile 3

Income Change 2

Education Decile 3

Income Change 3

Education Decile 3

Education Rise FromDecile 2 to 3 for Income

Decile 1

Education Rise FromDecile 2 to 3 for Income

Decile 2

Education Rise FromDecile 2 to 3 for Income

Decile 3

Education Rise FromDecile 2 to 3 for Income

Decile 4

Income Levels

Education

Levels

7/30/2019 Subscripting in Vensim 2 -- Introducing, Progressing Between, Mapping and Creating Subranges of Subscripts

3/41

Recall: A Means to Simplification:

Subscripting

We can simplify lattice structure by

subscripting the structure by (discrete) properties

This structure is then replicated for every subscript

combination

We can perform operations to create aggregate

totals from this disaggregated data

7/30/2019 Subscripting in Vensim 2 -- Introducing, Progressing Between, Mapping and Creating Subranges of Subscripts

4/41

Recall: Reading a Subscripted Equation

Suggestion: Read as follows variable Total Populationfor a specific age group (member of AgeGroups),

ethnic group (member of EthnicGroups) and sex

(member of Sex) is just thesum of the non-

diabetic population for

that same age, ethnic

& sex group and of thediabetic population for

that same age, ethnic

& sex group

7/30/2019 Subscripting in Vensim 2 -- Introducing, Progressing Between, Mapping and Creating Subranges of Subscripts

5/41

Recall: Vensim Model

Subscript control

7/30/2019 Subscripting in Vensim 2 -- Introducing, Progressing Between, Mapping and Creating Subranges of Subscripts

6/41

Subscript Control Interface

7/30/2019 Subscripting in Vensim 2 -- Introducing, Progressing Between, Mapping and Creating Subranges of Subscripts

7/41

Subscript Control Interface

The elements in this pane are those that will

be shown in graphs & tables

7/30/2019 Subscripting in Vensim 2 -- Introducing, Progressing Between, Mapping and Creating Subranges of Subscripts

8/41

Subscript Control Interface

These controls add or remove elements whose

values should be displayed

7/30/2019 Subscripting in Vensim 2 -- Introducing, Progressing Between, Mapping and Creating Subranges of Subscripts

9/41

A Key Piece of Functionality:

Subscript Control

The selected subset of subscripts are shown (here

All)

7/30/2019 Subscripting in Vensim 2 -- Introducing, Progressing Between, Mapping and Creating Subranges of Subscripts

10/41

Subscript Control Interface

Maximum length subset of those selected are

shown

7/30/2019 Subscripting in Vensim 2 -- Introducing, Progressing Between, Mapping and Creating Subranges of Subscripts

11/41

The elements in this pane are those that will

be shown in graphs & tables

7/30/2019 Subscripting in Vensim 2 -- Introducing, Progressing Between, Mapping and Creating Subranges of Subscripts

12/41

Subscripts: Tables

The selected subset of subscripts

are shown

7/30/2019 Subscripting in Vensim 2 -- Introducing, Progressing Between, Mapping and Creating Subranges of Subscripts

13/41

Subscripts: Graphs

7/30/2019 Subscripting in Vensim 2 -- Introducing, Progressing Between, Mapping and Creating Subranges of Subscripts

14/41

Choosing Additional Tools (from Tools/Analysis Menu)

7/30/2019 Subscripting in Vensim 2 -- Introducing, Progressing Between, Mapping and Creating Subranges of Subscripts

15/41

Histogram Tool

7/30/2019 Subscripting in Vensim 2 -- Introducing, Progressing Between, Mapping and Creating Subranges of Subscripts

16/41

Displaying over Subscripts at the End

7/30/2019 Subscripting in Vensim 2 -- Introducing, Progressing Between, Mapping and Creating Subranges of Subscripts

17/41

In Control Panel, Select All

7/30/2019 Subscripting in Vensim 2 -- Introducing, Progressing Between, Mapping and Creating Subranges of Subscripts

18/41

Select all

7/30/2019 Subscripting in Vensim 2 -- Introducing, Progressing Between, Mapping and Creating Subranges of Subscripts

19/41

Displaying Histogram Across Subscript Values

7/30/2019 Subscripting in Vensim 2 -- Introducing, Progressing Between, Mapping and Creating Subranges of Subscripts

20/41

Setting Subscript

7/30/2019 Subscripting in Vensim 2 -- Introducing, Progressing Between, Mapping and Creating Subranges of Subscripts

21/41

Displaying Statistics Across Subscripts

7/30/2019 Subscripting in Vensim 2 -- Introducing, Progressing Between, Mapping and Creating Subranges of Subscripts

22/41

Subscript Control Interface

Can use this button to introduce a new

Subscript (i.e. stratification dimension)

7/30/2019 Subscripting in Vensim 2 -- Introducing, Progressing Between, Mapping and Creating Subranges of Subscripts

23/41

Creating a New Subscript

7/30/2019 Subscripting in Vensim 2 -- Introducing, Progressing Between, Mapping and Creating Subranges of Subscripts

24/41

Defining a New Subscripts Elements

7/30/2019 Subscripting in Vensim 2 -- Introducing, Progressing Between, Mapping and Creating Subranges of Subscripts

25/41

New Subscript Appears in Subscript Control

7/30/2019 Subscripting in Vensim 2 -- Introducing, Progressing Between, Mapping and Creating Subranges of Subscripts

26/41

Edit Subscript

Can use this button to edit the a subscript

(e.g. to add or remove elements)

7/30/2019 Subscripting in Vensim 2 -- Introducing, Progressing Between, Mapping and Creating Subranges of Subscripts

27/41

Example Subscripted Stock: Youngest

Must consider birth flow in and aging to next

higher age group

7/30/2019 Subscripting in Vensim 2 -- Introducing, Progressing Between, Mapping and Creating Subranges of Subscripts

28/41

For Middle Age Categories

Must Consider both aging in (from

previous category & aging out)

Uses

subscript

mapping

to findprevious

age

Category

to this

7/30/2019 Subscripting in Vensim 2 -- Introducing, Progressing Between, Mapping and Creating Subranges of Subscripts

29/41

For Oldest Age Category

Must consider aging in , but there is no

aging out

Previous

age

category

ishard-

coded

7/30/2019 Subscripting in Vensim 2 -- Introducing, Progressing Between, Mapping and Creating Subranges of Subscripts

30/41

Finding the Mapping

7/30/2019 Subscripting in Vensim 2 -- Introducing, Progressing Between, Mapping and Creating Subranges of Subscripts

31/41

Finding among Variables

7/30/2019 Subscripting in Vensim 2 -- Introducing, Progressing Between, Mapping and Creating Subranges of Subscripts

32/41

MiddleAgeGroup Subranges

(In Subscript Control)

7/30/2019 Subscripting in Vensim 2 -- Introducing, Progressing Between, Mapping and Creating Subranges of Subscripts

33/41

Finding Middle Age Group Subrange

Definition

7/30/2019 Subscripting in Vensim 2 -- Introducing, Progressing Between, Mapping and Creating Subranges of Subscripts

34/41

Subrange Definitions

M i D fi i i

7/30/2019 Subscripting in Vensim 2 -- Introducing, Progressing Between, Mapping and Creating Subranges of Subscripts

35/41

Mapping Definition

7/30/2019 Subscripting in Vensim 2 -- Introducing, Progressing Between, Mapping and Creating Subranges of Subscripts

36/41

Finding the Other Sex for a Given Sex

7/30/2019 Subscripting in Vensim 2 -- Introducing, Progressing Between, Mapping and Creating Subranges of Subscripts

37/41

Using the Opposite Sex In an Equation

7/30/2019 Subscripting in Vensim 2 -- Introducing, Progressing Between, Mapping and Creating Subranges of Subscripts

38/41

Clever Ways of Defining Flows

can lead to Fewer Equations

7/30/2019 Subscripting in Vensim 2 -- Introducing, Progressing Between, Mapping and Creating Subranges of Subscripts

39/41

Definition of Aging

Fraction Leaving Each Year is Set to 0

7/30/2019 Subscripting in Vensim 2 -- Introducing, Progressing Between, Mapping and Creating Subranges of Subscripts

40/41

Fraction Leaving Each Year is Set to 0

for Oldest Age Group

7/30/2019 Subscripting in Vensim 2 -- Introducing, Progressing Between, Mapping and Creating Subranges of Subscripts

41/41

Previous Age Group for Youngest Age Group is

Oldest So no Aging into Youngest Age Group