Compartment Stock-and-Flow Models Revisited: DaD-Unstable Pine Forest Svicobia.ns Need a New Stability Concept

Revisiting stock-and-flow models is motivated by a recent publication that reported on the stability analysis in the simplest stock-and-flow diagram for a Sphagnum-type pine forest and indicated inconsistences in certain empirical data. To address the question of whether this discouraging result was due to oversimplifying the model, I examine here a diagram consisting of five compartments and apply the Svicobian notion in couple with its DaD-stability. The method of this analysis proves unexpectedly the same as that to certify the sign stability of a real n×n matrix and it does prove the pine forest Svicobian to be DaD-unstable. This instability entails quite definite conclusions for both the theory of compartment models and the practice of their applications.

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Publication Details

Journal
Preprints.org
Published
2026-10-27
DOI
https://doi.org/10.20944/preprints202610.2597.v1
Primary Topic
Sustainability and Ecological Systems Analysis
Type
preprint
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preprint

Compartment Stock-and-Flow Models Revisited: DaD-Unstable Pine Forest Svicobia.ns Need a New Stability Concept

Dmitrii O. Logofet
Preprints.org
Sustainability and Ecological Systems Analysis
preprint

Compartment Stock-and-Flow Models Revisited: DaD-Unstable Pine Forest Svicobia.ns Need a New Stability Concept

Dmitrii O. Logofet
preprint en

Abstract

Revisiting stock-and-flow models is motivated by a recent publication that reported on the stability analysis in the simplest stock-and-flow diagram for a Sphagnum-type pine forest and indicated inconsistences in certain empirical data. To address the question of whether this discouraging result was due to oversimplifying the model, I examine here a diagram consisting of five compartments and apply the Svicobian notion in couple with its DaD-stability. The method of this analysis proves unexpectedly the same as that to certify the sign stability of a real n×n matrix and it does prove the pine forest Svicobian to be DaD-unstable. This instability entails quite definite conclusions for both the theory of compartment models and the practice of their applications.

Preprints.org
Sustainability and Ecological Systems Analysis
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