Räz, Tim (2016) The Volterra Principle Generalized. [Preprint]

Preview

Text raez_volterra.pdf Download (554kB) | Preview

Abstract

Michael Weisberg and Kenneth Reisman argue that the so-called Volterra Principle can be derived from a series of predator-prey models, and that, therefore, the Volterra Principle is a prime example for the practice of robustness analysis. In the present paper, I give new results regarding the Volterra Principle, extending Weisberg’s and Reisman’s work, and I discuss the consequences of these new results for robustness analysis. I argue that we do not end up with multiple, independent models, but rather with one general model. I identify the kind of situation in which this generalization approach may occur, I analyze the generalized Volterra Principle from an explanatory perspective, and I propose that cases in which the generalization approach may not apply are in fact cases of mathematical coincidences.

---

Export/Citation:

EndNote | BibTeX | Dublin Core | ASCII/Text Citation (Chicago) | HTML Citation | OpenURL

Social Networking:

Share |

---

Item Type:	Preprint
Creators:	Creators Email ORCID Räz, Tim tim.raez@gmail.com
Keywords:	Lotka-Volterra, predator-prey, mathematical modeling, mathematical explanation, mathematical coincidence, Michael Weisberg, Kenneth Reisman
Subjects:	Specific Sciences > Biology > Ecology/Conservation General Issues > Explanation General Issues > History of Science Case Studies Specific Sciences > Mathematics General Issues > Models and Idealization
Depositing User:	Tim Räz
Date Deposited:	17 Sep 2016 12:50
Last Modified:	17 Sep 2016 12:50
Item ID:	12442
Subjects:	Specific Sciences > Biology > Ecology/Conservation General Issues > Explanation General Issues > History of Science Case Studies Specific Sciences > Mathematics General Issues > Models and Idealization
Date:	2016
URI:	https://philsci-archive.pitt.edu/id/eprint/12442

Monthly Views for the past 3 years

Monthly Downloads for the past 3 years

Plum Analytics

Actions (login required)

View Item