Nonlinear and threshold relationships are commonly manifested in neighborhoods, both relating to effects of neighborhoods on residents and causes of neighborhood changes arising from individual mobility and housing investment decisions. These relationships are generated by amalgam of often reinforcing processes related to socialization, gaming, tolerance, contagion, and tolerance. The existence of nonlinear and threshold effects holds powerful implications for planners. Scarce public investment resources must be spatially concentrated, so that they exceed property owners’ reinvestment thresholds. Poverty deconcentration strategies must seek to replace neighborhoods exceeding 40 percent poverty rates with those that have low (less than 15 percent) poverty rates.

中文翻译：

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与邻域相关的非线性和阈值效应

非线性和阈值关系通常在社区中表现出来，既与社区对居民的影响有关，也与个人流动和住房投资决策引起的社区变化的原因有关。这些关系是由与社会化、游戏、容忍、传染和容忍相关的经常强化过程的混合产生的。非线性和阈值效应的存在对规划者具有重要意义。稀缺的公共投资资源必须在空间上集中，从而超过业主的再投资门槛。去中心化战略必须寻求将贫困率超过 40% 的社区替换为贫困率低（低于 15%）的社区。