空间复杂性与地理元胞自动机模拟研究

面对具有非线性、非平衡、自相似、自组织等复杂性特征的空间复杂现象,基于传统的牛顿力学和微分方程数学的地理模型显得力不从心,非线性科学作为解决地理复杂现象的有效工具成为地理学研究的前沿.基于对地理复杂性的分析、作者提出了一种基于元胞自动机(Cellular Automata)的地理模型框架,并在地理信息系统集成的基础上,对美国安阿伯波市的城市增长与扩散进行了生动地模拟和预测.     

元胞邻域对空间直观模拟结果的影响

作为一种空间直观模拟模型,地理元胞自动机(Geo-CA)能够模拟及预测城市扩展与土地利用情景.地理CA模拟中,元胞邻域及其空间构型会对转换规则的挖掘与空间直观模拟结果的可靠性产生显著影响,从模拟进度和精度、景观格局及运行效率等角度可以定量分析这种影响.以logistic回归CA模型为例,基于Von:Neumann型和M...     

Modeling dynamic urban land-use change with geographical cellular automata and generalized pattern search-optimized rules

A novel generalized pattern search (GPS)-based cellular automata (GPS-CA) model was developed to simulate urban land-use change in a GIS environment. The model is built on a fitness function that computes the difference between the observed results produced from remote-sensing images and the simulated results produced by a general CA model. GPS optimization incorporating genetic algorithms (GAs) searches for the minimum difference, i.e. the smallest accumulated residuals, in fitting the CA transition rules. The CA coefficients captured by the GPS method have clear physical meanings that are closely associated with the dynamic mechanisms of land-use change. The GPS-CA model was applied to simulate urban land-use change in Kunshan City in the Yangtze River Delta from 2000 to 2015. The results show that the GPS method had a smaller root mean squared error (0.2821) than a logistic regression (LR) method (0.5256) in fitting the CA transition rules. The GPS-CA model thus outperformed the LR-CA model, with an overall accuracy improvement of 4.7%. As a result, the GPS-CA model should be a superior tool for modeling land-use change as well as predicting future scenarios in response to different conditions to support the sustainable urban development.     

Calcite formation in microbial mats: modeling and quantification of inhomogeneous distribution patterns by a cellular automaton model and multifractal measures

The evolution of early diagenetic calcite cements in microbial mats of recent supratidal sediments of the southern North Sea is modeled in a two-dimensional microscale approach by a cellular automaton model (CAM). Calcite is traced out in the model by virtual calcium distribution patterns obtained from runs under different assumptions concerning sediment-intrinsic conditions. For justification of the CAM, real calcium distribution patterns, documented by scanning electron microscopy coupled with energy-dispersive X-ray spectrometry (SEM/EDX), are quantitatively compared with the virtual patterns on the basis of multifractal analyses. The formation of high magnesian calcite as a consequence of biogenic anaerobic decomposition of organic matter starts at certain initial calcite domains. In this stage an inhomogeneous and multifractal calcium distribution is characteristic. Nearly complete remineralization of organic matter leads to monofractal behavior of generalized fractal dimensions (D_B(q) ±1.84). The CAM results confirm that calcite formation is a self-determining morphogenetical process and diffusive transport processes of reactants within the mat affect the biogenic calcite formation.     

利用约束性CA制定城市增长边界

作为控制城市蔓延的重要工具之一,城市增长边界(UGBs)已经在国际学术界得到了广泛的关注和研究。从控制机制来看,由于规划城镇建设用地边界具有控制城市增长的法律地位,与西方国家的UGBs较为相似,因而可以被视为中国特有的一种UGBs。该边界的制定在我国经过了长期的实践,然而以往的方法往往缺乏充分的科学依据。因此,本文提出一种基于约束性元胞自动机来制定城市增长边界的方法,该方法考虑了城市发展的综合因素,能够较为客观、全面地反映城市增长的时空动态变化过程,并能体现众多城市发展政策的影响效果。利用约束性元胞自动机模型,以北京市域为研究区域,制定了中心城、新城和乡镇三个层次的UGBs。实证分析表明,利用该方法与传统方法所制定的UGBs存在一定的差异,因此在拟定新的UGBs或改进现有的UGBs过程中,应当充分考虑这一情况,参考该方法的模拟结果建立更为科学合理的UGBs。     

海湾型半城市化地区空间形态演化模拟

元胞自动机（CA）是模拟城市土地利用演变过程的有效工具,转换规则和元胞邻域是元胞模型的核心。综合考虑元胞邻域的距离衰减效应,基于模拟退火算法（SA）挖掘最优的转换规则,文章构建了一种考虑邻域衰减的城市演化模型（SA-NDCA）。模型以负幂指数函数作为元胞邻域的衰减曲线表示元胞邻域的距离衰减效应;运用模拟退火优化算法计算城市CA模型模拟结果与样本点的累积差异,在目标解空间快速搜索以提取最优的转换规则;最后以厦门市半城市化地区为研究案例,模拟了研究区域1995―2010年期间的城市空间形态演化,通过混淆矩阵和Kappa系数评价了模型的模拟精度,1995―2010年期间的建设用地模拟精度为68.5%,总体精度达到86.2%,Kappa系数达到66.3,取得了较好的模拟效果。利用提出的SA-NDCA模型,成功模拟了研究区2010―2020年期间的城市空间形态演化,结果显示,所预测的演化情景与中国当前实施的新型城镇化战略十分契合。     

Self-modifying CA model using dual ensemble Kalman filter for simulating urban land-use changes

There are many different methods to calibrate cellular automata (CA) models for better simulation results of urban land-use changes. However, few studies have been reported on combination of parameter update and error control using local data in CA calibration procedures. This paper presents a self-modifying CA model (SM-CA) that uses the dual ensemble Kalman filter (dual EnKF), which enables the CA model to simultaneously update model parameters and simulation results by merging observation data (local data). We applied the proposed model to simulate urban land-use changes in a 13-year period (1993–2005) in Dongguan City, a rapidly urbanizing region in south China. Simulation results indicate that this model yields better simulation results than the conventional logistic-regression CA and decision-tree CA models. For example, the validation is carried out using cross-tabulation matrix. The simulation results of SM-CA have allocation disagreement of 10.18%, 19.64%, and 30.03% in 1997, 2001, and 2005, respectively, which are 2.12%, 2.47%, and 6% lower than conventional logistic-regression CA models.     

基于随机森林的元胞自动机城市扩展模拟——以佛山市为例

本文提出一种基于随机森林的元胞自动机城市扩展(RF-CA)模型。通过在多个决策树的生成过程中分别对训练样本集和分裂节点的候选空间变量引入随机因素,提取城市扩展元胞自动机的转换规则。该模型便于并行构建,能在运算量没有显著增加的前提下提高预测的精度,对城市扩展中存在的随机因素有较强的容忍度。RF-CA模型可进行袋外误差估计,以快速获取模型参数;也可度量空间变量重要性,解释各空间变量在城市扩展中的作用。将该模型应用于佛山市1988-2012年的城市扩展模拟中,结果表明,与常用的逻辑回归模型相比,RF-CA模型进行模拟和预测分别能够提高1.7%和2.6%的精度,非常适用于复杂非线性特征的城市系统演变模型与扩展研究;通过对影响佛山市城市扩展的空间变量进行重要性度量,发现对佛山城市扩张模拟研究而言,距国道的距离与距城市中心的距离具有最重要的作用。     

元胞自动机和多主体模型在土地利用变化模拟中的应用

土地利用变化模拟研究是土地利用变化研究的重要分支。复杂系统理论的完善和系统模拟平台的发展使得复杂系统模拟方法在土地利用变化模拟研究中的优势越来越明显,元胞自动机模型和多主体模型正是基于复杂系统理论模拟研究的代表。本文简要回顾了土地利用变化模拟研究进展,探讨了土地利用变化的内在机理,着重分析了元胞自动机和多主体模型的内涵、研究热点、模拟平台和优缺点等,并对其今后在土地利用变化模拟研究的发展趋势进行了展望,以期为土地利用变化模拟研究提供参考。     

细观非均匀性对脆性岩石材料宏观破坏形式的影响

岩石材料的宏观力学特征是材料内部细观力学特性的综合反映。对于脆性岩石材料,其内部的非均匀性对材料的宏观破坏形式有着重要的影响。应用演化细胞自动机方法（ECA）对岩石的非均匀性进行了初步的探讨。该方法以位移、力、应力和应变等矢量和张量作为系统的基本变量,定量计算了反映岩石破坏过程中应力集中以及应力重新分布的过程。在宏观上则认为脆性岩石材料是一种非均匀性材料,并假定脆性岩石材料的非均匀性符合Weibull分布,坡度参数m是Weibull分布中的反映分布非均匀程度的重要参数。通过对符合Weibull分布中不同坡度参数的脆性岩石材料进行数值模拟试验,发现由Weibull分布中的坡度参数表示的非均匀性是影响脆性岩石材料破坏方式的重要因素,材料的坡度参数越小,材料越不均匀,其破坏形式则越具有随机性;材料的坡度参数越大,材料越趋于均匀,其破坏形式越具有规则性,即趋于弹性材料的破坏形式,这与试验结果是吻合的。