Please use this identifier to cite or link to this item:
|Title: ||The Interaction of Natural Science Models in Spatial Interaction Behavior|
|Other Titles: ||自然科學模型在空間交互行為分析之應用|
|Issue Date: ||2010-10-26 15:45:49 (UTC+8)|
This paper serves three purposes. First it gives a systematic review of interactions between some natural science concepts and regional sciencephenomena in both static and dynamic states. Second it aims to understand whynon-linear feature is crucial in the emergence of chaotic behavior. What roledoes "non-linear" play in a chaotic dynamic system? And finally simulatingthe non-linear dynamic system to observe its features. This review shows thatmaximum entropy concept can be applied in the spatial interaction model andresult in a gravity type model; based on this gravity model a logit discretechoice model is followed; consequently a dynamic logit model will generate alogistic type growth model. It shows that these biological or physical basedmodels are correlated and correspond to regional phenomena. From optimalentropy to generated dynamic logit model they are vertically related.Horizontally each natural science model interprets certain regional sciencephenomenon. Simulation results show that non-linear dynamic system is not onlyable to perform all regular trajectories of linear dynamic system but alsoperform non-periodic irregular motion patterns given different initialconditions. The chaotic systems do not cause different irregular trajectoriesgiven the same initial conditions and parameter values. The "stochastic" termin describing chaotic behavior refers to its unpredictable and random timeseries path. Also non-periodic evolution is extremely sensitive depending onthe initial conditions. Non-linear is the necessary condition for theemergence of chaos; the level of parameter value is the sufficient conditionfor chaotic dynamic system.
|Data Type: ||article|
|Appears in Collections:||[經濟學系] 期刊論文|
Files in This Item:
All items in 學術集成 are protected by copyright, with all rights reserved.