复杂性-稳定性研究: 数学模型的进展
徐光华,李小玉,施春华

The complexity-stability relationship: Progress in mathematical models
Xu Guanghua,Li Xiaoyu,Shi Chunhua
表1 复杂性?稳定性研究模型方法
Table 1 Modeling approaches of complexity?stability research
方法名称
Approach name
群落构建方法
Community construction method
群落规模
Community size
稳定性衡量
Stability measurement
群落矩阵法
Community matrix approach
指定物种数、连接度、平均相互作用强度, 随机给出或指定网络结构和相互作用分布
Species number, connectivity, average interaction intensities are designated; web structure and interaction distribution rule are random or designated
适用大型生态网络
Suitable for large ecological networks
局部稳定性, 稳定网络的百分比(PSW)
Local stability, percentage of stable webs (PSW)
相互作用矩阵法
Interaction matrix approach
指定物种数, 网络结构可随机给出或指定, 随机给出每单位相互作用强度
Species number is designated, web structure can be designated or random, per unit interaction intensities are random
适用大中型生态网络
Suitable for large and middle-sized ecological networks
局部稳定性+可行性, 稳定网络的百分比(PSW)
Local stability and feasibility, percentage of stable webs (PSW)
复杂网络的数值模拟法
Numerical simulation of complex network
指定物种数, 网络结构由专门模型生成, 相互作用强度参数通过与体型比给出, 或在一定范围内变动
Species number is designated, web structure is generated by model, parameters of interaction intensity are given by the ratio to body size, or vary within a certain range
适用中型生态网络
Suitable for middle-sized ecological networks
持久性(共存的物种数占比)
Persistence (the proportion of coexisting species)
食物网构件动力学法
Food web module dynamics approach
所有参数都直接指定
All parameters are designated
适用小型构件, 但可通过构件组合推测大型食物网的稳定性
Suitable for small web module, but could be used to infer the stability of large food webs
永久性+波动程度
Permanence and variability