Theory-Based Models

Loading Theory-Based Models

Theory-Based Models

Solow Growth Model

A long-run growth framework linking saving, depreciation, population growth, and productivity to the steady-state capital stock and output path.

Intermediatephase path

Catalog Overview Explore Proof Compare

Theory-Based Models

Explore

Route section

Adjust the controls, keep the diagram in view, and save or share the resulting scenario.

Scenario

Solow Growth scenario

This page starts from the current parameter state for the selected model.

Saved scenarios stay in this browser so you can revisit them or add them to compare.

Controls

The diagram, readouts, and summary update with each change.

Preset

Core

s

Saving rate

Fraction of output saved and invested.

0.30

α

Capital share

Curvature of the production function.

0.40

A

Productivity

Technology level in production.

Break-even

n

Population growth

Growth in labor input.

0.02

g

Technology growth

Growth in labor-augmenting technology.

0.01

δ

Depreciation

Capital wear and replacement needs.

0.05

State

k_0

Current capital

Starting capital stock for the transition path.

91.2

Variant branches

s_h

Human-capital saving

MRW branch saving share for human capital.

0.18

β

Human-capital share

MRW production contribution of human capital.

0.20

T

Land endowment

Fixed land available in the Malthusian branch.

θ

Land share

Importance of fixed land in the Malthusian branch.

0.40

ȳ_{sub}

Subsistence income

Target income per person in the Malthusian branch.

2.40

φ

Population response

Sensitivity of demographic change to income gaps.

0.20

h_0

Current human capital

Starting human-capital stock for MRW paths.

Proof Compare

Shock presets

Higher saving

Raises the saving schedule and pushes the steady state outward.

Productivity boost

Raises output and the saving schedule.

Demographic drag

Raises the break-even requirement.

Intermediatebaseline

Steady-state capital

91.2

Output

24.3

Consumption

17.0

Golden Rule capital

147.4

Impact summary

The current calibration converges toward capital 91.2 with output 24.3.

A lower saving rate leaves less accumulation and keeps the steady state closer to the origin.

Theory-Based Models

Loading Theory-Based Models

Theory-Based Models

Solow Growth Model

A long-run growth framework linking saving, depreciation, population growth, and productivity to the steady-state capital stock and output path.

Intermediatephase path

Catalog Overview Explore Proof Compare

Theory-Based Models

Explore

Route section

Adjust the controls, keep the diagram in view, and save or share the resulting scenario.

Scenario

Solow Growth scenario

This page starts from the current parameter state for the selected model.

Saved scenarios stay in this browser so you can revisit them or add them to compare.

Controls

The diagram, readouts, and summary update with each change.

Preset

Core

s

Saving rate

Fraction of output saved and invested.

0.30

α

Capital share

Curvature of the production function.

0.40

A

Productivity

Technology level in production.

Break-even

n

Population growth

Growth in labor input.

0.02

g

Technology growth

Growth in labor-augmenting technology.

0.01

δ

Depreciation

Capital wear and replacement needs.

0.05

State

k_0

Current capital

Starting capital stock for the transition path.

91.2

Variant branches

s_h

Human-capital saving

MRW branch saving share for human capital.

0.18

β

Human-capital share

MRW production contribution of human capital.

0.20

T

Land endowment

Fixed land available in the Malthusian branch.

θ

Land share

Importance of fixed land in the Malthusian branch.

0.40

ȳ_{sub}

Subsistence income

Target income per person in the Malthusian branch.

2.40

φ

Population response

Sensitivity of demographic change to income gaps.

0.20

h_0

Current human capital

Starting human-capital stock for MRW paths.

Proof Compare

Shock presets

Higher saving

Raises the saving schedule and pushes the steady state outward.

Productivity boost

Raises output and the saving schedule.

Demographic drag

Raises the break-even requirement.

Intermediatebaseline

Steady-state capital

91.2

Output

24.3

Consumption

17.0

Golden Rule capital

147.4

Impact summary

The current calibration converges toward capital 91.2 with output 24.3.

A lower saving rate leaves less accumulation and keeps the steady state closer to the origin.