State Space Models
Thursday, October 16, 2025
World-System (1960-2150) La French TECH Cycles
Friday, October 10, 2025
World-System (1960-2150) Unstable Cycles in Columbia
Notes
- Columbia officially the Republic of Colombia, is a country located in South America, with insular regions in North America.
- Columbia IMF The Colombian economy continues to expand with some moderation in key imbalances. After slowing sharply in 2023, the economy expanded by 1.7 percent in 2024 supported by private consumption, reflecting a robust labor market and a gradual recovery in investment.
- History of Columbia includes its settlement by indigenous peoples and the establishment of agrarian societies, notably the Muisca Confederation, Quimbaya Civilization, and Tairona Chiefdoms.
- Politics of Colombia a presidential representative democratic republic with a multi-party system, where the President of Colombia is both head of state and head of government. The national government has separate executive, legislative, and judicial branches.
- Economy of Colombia the fourth largest economy in Latin America as measured by gross domestic product and the third-largest economy in South America.
- Geography of Colombia situated largely in the north-west of South America, with some territories falling within the boundaries of Central America. It is bordered to the north-west by Panama; to the east by Brazil and Venezuela; to the south by Ecuador and Peru; and it shares maritime limits with Costa Rica, Nicaragua, Honduras, Jamaica, the Dominican Republic, and Haiti.
- 2026 Colombia Presidential Election Incumbent president Gustavo Petro, elected in 2022, was constitutionally barred from seeking a second term. Abelardo de la Espriella narrowly defeated Iván Cepeda in the run-off election held on 21 June 2026.
- Demographics of Colombia Colombia is the second-most populous country in South America after Brazil, and the third-most populous in Latin America, after Brazil and Mexico.
CO_L20 Measurement Matrix:
Friday, September 26, 2025
World-System (1960-2500) Unstable System Cycles in Latin America
In an earlier post (here and here), I found that the best forecasting model for Argentina was the LA20 Model (Latin America Regional Economy). Out until 2100 (the furthest out the IPCC is willing to go on Global Emission Scenarios), it looks as if Latin American Integration would provide a desirable future, at least for Argentina (here). This post explores what happens after 2100, out to 2500. Of course, no one knows the future (especially out to 2500), but the LA20 Model is a computer program that can be run out to any date. Sometimes it is insightful just to see what happens!
The LA20 Model is unstable and cyclical (the eigenvalues and AIC statistics are presented in the graphic above for the Business as Usual BAU model). In the Phase Plot, above, time moves from left to right and cycles increase in magnitude and severity.** Although the short-term future might look endurable, the long-term future is not. Luckily, a lot (maybe everything) can change after 2100, especially in the face of Environmental Crisis.
Another reason to look at long-run cycles in Latin America is that cycles (particularly Kondratiev Waves or K-Waves) are discussed extensively and qualitatively in World-Systems Theory. It is refreshingly concrete to see actual historical cycles tested with a statistically estimated model. However, a future of unstable cycles is probably one reason why Latin American Integration has been so problematic.
Notes
** And will require that bailouts increase in magnitude and severity.
LA20 BAU Measurement Matrix:
You can experiment with the LA20 BAU model here. Suggestions are given in the code for how to stabilize the model.
Ex. 1.0 Can you find a way to eliminate cycles once the model has been stabilized?
The solution to this Exercise can be found in the LA_TECHP model which I will describe in a future post.
Descriptions of the how the Dynamic Component State Space models are constructed are given in the Boiler Plate.