Modelling as Indirect Representation? The Lotka–Volterra Model Revisited
Modelling as Indirect Representation? The Lotka–Volterra Model Revisited
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建模作为间接表示?重新审视 Lotka-Volterra 模型
DOI:
10.1093/bjps/axv055
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发表时间:
2016
期刊:
影响因子:
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通讯作者:
Andrea Loettgers
中科院分区:
文献类型:
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作者:
T. Knuuttila;Andrea Loettgers
Is there something specific about modelling that distinguishes it from many other theoretical endeavours? We consider Michael Weisberg’s ([2007], [2013]) thesis that modelling is a form of indirect representation through a close examination of the historical roots of the Lotka–Volterra model. While Weisberg discusses only Volterra’s work, we also study Lotka’s very different design of the Lotka–Volterra model. We will argue that while there are elements of indirect representation in both Volterra’s and Lotka’s modelling approaches, they are largely due to two other features of contemporary model construction processes that Weisberg does not explicitly consider: the methods-drivenness and outcome-orientedness of modelling. 1. Introduction2. Modelling as Indirect Representation3. The Design of the Lotka–Volterra Model by Volterra 3.1. Volterra’s method of hypothesis3.2. The construction of the Lotka–Volterra model by Volterra4. The Design of the Lotka–Volterra Model by Lotka 4.1. Physical biology according to Lotka4.2. Lotka’s systems approach and the Lotka–Volterra model5. Philosophical Discussion: Strategies and Tools of Modelling 5.1. Volterra’s path from the method of isolation to the method of hypothesis5.2. The template-based approach of Lotka5.3. Modelling: methods-driven and outcome-oriented6. Conclusion Introduction Modelling as Indirect Representation The Design of the Lotka–Volterra Model by Volterra 3.1. Volterra’s method of hypothesis3.2. The construction of the Lotka–Volterra model by Volterra Volterra’s method of hypothesis The construction of the Lotka–Volterra model by Volterra The Design of the Lotka–Volterra Model by Lotka 4.1. Physical biology according to Lotka4.2. Lotka’s systems approach and the Lotka–Volterra model Physical biology according to Lotka Lotka’s systems approach and the Lotka–Volterra model Philosophical Discussion: Strategies and Tools of Modelling 5.1. Volterra’s path from the method of isolation to the method of hypothesis5.2. The template-based approach of Lotka5.3. Modelling: methods-driven and outcome-oriented Volterra’s path from the method of isolation to the method of hypothesis The template-based approach of Lotka Modelling: methods-driven and outcome-oriented Conclusion