dorsal/arxiv
View SchemaThe Time Invariance Principle, Ecological (Non)Chaos, and A Fundamental Pitfall of Discrete Modeling
| Authors | Bo Deng |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0702048 |
| URL | https://arxiv.org/abs/q-bio/0702048 |
Abstract
This paper is to show that most discrete models used for population dynamics in ecology are inherently pathological that their predications cannot be independently verified by experiments because they violate a fundamental principle of physics. The result is used to tackle an on-going controversy regarding ecological chaos. Another implication of the result is that all continuous dynamical systems must be modeled by differential equations. As a result it suggests that researches based on discrete modeling must be closely scrutinized and the teaching of calculus and differential equations must be emphasized for students of biology.
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"abstract": "This paper is to show that most discrete models used for population dynamics\nin ecology are inherently pathological that their predications cannot be\nindependently verified by experiments because they violate a fundamental\nprinciple of physics. The result is used to tackle an on-going controversy\nregarding ecological chaos. Another implication of the result is that all\ncontinuous dynamical systems must be modeled by differential equations. As a\nresult it suggests that researches based on discrete modeling must be closely\nscrutinized and the teaching of calculus and differential equations must be\nemphasized for students of biology.",
"arxiv_id": "q-bio/0702048",
"authors": [
"Bo Deng"
],
"categories": [
"q-bio.PE"
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"title": "The Time Invariance Principle, Ecological (Non)Chaos, and A Fundamental Pitfall of Discrete Modeling",
"url": "https://arxiv.org/abs/q-bio/0702048"
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