Carrying capacity: A model with logistically varying limits

被引:132
作者
Meyer, PS [1 ]
Ausubel, JH [1 ]
机构
[1] Rockefeller Univ, Program Human Environm, New York, NY 10021 USA
关键词
D O I
10.1016/S0040-1625(99)00022-0
中图分类号
F [经济];
学科分类号
02 ;
摘要
We introduce an extension to the widely-used logistic model of growth to a limit that in turn allows for a sigmoidally increasing carrying capacity? that is, the invention and diffusion of technologies which lift the limit. We study the effect of this dynamic carrying capacity on the trajectories of simple growth models, and we use the new model to re-analyze two actual cases of the growth of human populations. English and Japanese examples with two pulses, or one change in limit, appear to verify the model. (C) 1999 Elsevier Science Inc.
引用
收藏
页码:209 / 214
页数:6
相关论文
共 20 条
[1]  
[Anonymous], DIFFUSION TECHNOLOGI
[2]  
[Anonymous], 1924, Studies in Human Biology
[3]  
[Anonymous], SOCIAL MECH ANAL APP
[4]   ECONOMIC-GROWTH, CARRYING-CAPACITY, AND THE ENVIRONMENT [J].
ARROW, K ;
BOLIN, B ;
COSTANZA, R ;
DASGUPTA, P ;
FOLKE, C ;
HOLLING, CS ;
JANSSON, BO ;
LEVIN, S ;
MALER, KG ;
PERRINGS, C ;
PIMENTEL, D .
SCIENCE, 1995, 268 (5210) :520-521
[5]  
Banks R., 1994, Growth and Diffusion Phenomena: Mathematical Frameworks and Applications
[6]  
Cohen J. E., 1995, MANY PEOPLE CAN EART
[7]   POPULATION GROWTH AND EARTH'S HUMAN CARRYING CAPACITY [J].
COHEN, JE .
SCIENCE, 1995, 269 (5222) :341-346
[8]   NONAUTONOMOUS LOGISTIC EQUATIONS AS MODELS OF THE ADJUSTMENT OF POPULATIONS TO ENVIRONMENTAL-CHANGE [J].
COLEMAN, BD .
MATHEMATICAL BIOSCIENCES, 1979, 45 (3-4) :159-173
[9]  
Grubler A., 1990, The Rise and Fall of Infrastructures: Dynamics of Evolution and Technological Change in Transport
[10]   Human population dynamics revisited with the logistic model: How much can be modeled and predicted? [J].
Marchetti, C ;
Meyer, PS ;
Ausubel, JH .
TECHNOLOGICAL FORECASTING AND SOCIAL CHANGE, 1996, 52 (01) :1-30