基于修正组合模型的青海省城市需水量预测

根据城市用水量系统具有非线性和随机波动性的特点,为了充分发挥组合灰色神经网络预测模型能够综合单变量预测及非线性处理的优势,同时降低组合权系数计算方法的不确定性对模型预测效果的影响,论文提出了基于马尔科夫链修正的组合灰色神经网络预测模型。将其应用于1980—2009年青海省城市用水量序列的拟合分析,并预测其2010、2015以及2020年的城市需水量。结果表明:基于马尔科夫链修正的组合灰色神经网络预测模型预测结果的误差更小,精度更高。     

长株潭城市群地类转移的碳传导效应与预测

土地利用碳排放是影响城市碳达峰、碳中和实现的重要因素.基于土地利用遥感数据和碳排放估算模型,得到长株潭城市群的土地利用碳排放量,借助转移矩阵分析了长株潭城市群土地利用转移的碳传导效应.此外,采用马尔科夫模型预测2030年和2060年的长株潭土地利用碳排放量.结果表明：①1995~2018年长株潭城市群土地利用净碳排放从810.84×10⁴ t增加到2015.41×10⁴ t,碳源/汇比整体呈上升趋势.其中,建设用地是主要的碳排放源,林草地是主要的碳汇.②不同时段地类转移引致的碳传导最终均表现为净碳排放,在时间上呈现先增加后减少的态势.其中以林地和耕地向建设用地转移产生的碳传导最为显著,涉及草地、水域和未利用地的碳传导效应微弱.③预测结果表明,长株潭城市群的土地利用碳排放预测量处于持续上涨态势,如若仍按目前趋势发展,则如期实现"双碳目标"存在难度.政府需要在加强林地的碳吸收能力以提升生态系统碳汇增量和遏制建设用地的无序扩张以减少碳源两方面着力,加快长株潭城市群的绿色低碳建设.上述结果为长株潭城市群开展低碳导向的城市土地利用调控提供了重要参考.     

基于马尔科夫链-多目标模型的应急供应链决策优化研究*

为应对洪涝、新冠肺炎疫情等突发灾难,提出供应物资满足率最大、供应时间最短、供应成本最低的离散时间马尔科夫链-多目标规划模型（DTMC-MOP）,动态地识别、分析、应对应急供应链风险;采用改进自适应NSGA-Ⅱ算法求解优化模型,并通过标准测试函数进行测试与评价,验证模型的可行性和有效性;通过算例分析,获得精度更高、分布更均匀的Pareto最优前沿。研究结果表明:决策者可以依据应急管理核心目标或不同偏好选择相适应的应急方案,研究结果可为应急供应链决策优化提供1种科学方法,对保障灾民生命安全、维护社会和谐稳定具有积极意义。     

用马尔可夫链模型预测宁南山区旱情

宁南山区干旱频繁,严重影响农业生产。根据固原气象站35年(1957～1991)雨量资料,应用马尔可失链模型预测了该区1992～1996年的雨量与旱情趋势。结果表明,今后五年将出现三年春夏旱、二年正常,秋季有四年正常、一年多雨;预测的1992年4～6月和6～9月的干旱等级值与实际完全相符。该模型预测结果有较高可信度,对该区农业生产有参考价值。     

基于BP神经网络与马尔可夫链的污水处理厂脱氮效果模拟预测

在实际污水处理厂运行过程中,其最终出水水质会受多种因素影响制约,而基于生物反应机理的活性污泥数学模型(ASM)并未将这些生物反应以外的因素考虑在内,由此带来一些不足.对此,本文提出可通过基于数据挖掘技术的黑箱模型对污水厂处理效果进行模拟预测.结合具体实际分析,提出可将BP神经网络与马尔可夫链组合应用于污水处理脱氮效果预测中.首先,通过BP神经网络模型对北京某大型污水处理厂实际进出水数据和工艺参数进行粗略拟合;其次,利用马尔可夫链对拟合结果及误差进行状态划分以进一步提高预测精确度;最后,运用基于BP神经网络与马尔可夫链的组合模型预测分析了该厂的实际出水水质.试验结果表明,BP神经网络适用于污水处理脱氮过程的拟合计算,而通过与马尔可夫链组合,可以提高模拟预测的精度和可靠性.     

基于范例推理的灾害性地震应急物资需求预测研究

基于范例推理(CBR)理论,利用最近相邻法和粗糙集理论搜索相似度最高的主震历史范例,分析各主要物资需求量的影响因素,预测当前范例主震期应急物资需求量。通过序贯决策,采用马尔科夫预测模型预测余震类型,进而搜索余震历史范例,预测余震期应急物资需求量。以"玉树"地震为例,运用该方法估算地震发生后食物类、生活用品类、药品类、工程机械类的需求量。     

Social network analysis and valid Markov chain Monte Carlo tests of null models

Analyses of animal social networks derived from group-based associations often rely on randomisation methods developed in ecology (Manly, Ecology 76:1109–1115, 1995) and made available to the animal behaviour community through implementation of a pair-wise swapping algorithm by Bejder et al. (Anim Behav 56:719–725, 1998). We report a correctable flaw in this method and point the reader to a wider literature on the subject of null models in the ecology literature. We illustrate the importance of correcting the method using a toy network and use it to make a preliminary analysis of a network of associations among eagle rays.

Hierarchical modeling for extreme values observed over space and time

We propose a hierarchical modeling approach for explaining a collection of spatially referenced time series of extreme values. We assume that the observations follow generalized extreme value (GEV) distributions whose locations and scales are jointly spatially dependent where the dependence is captured using multivariate Markov random field models specified through coregionalization. In addition, there is temporal dependence in the locations. There are various ways to provide appropriate specifications; we consider four choices. The models can be fitted using a Markov Chain Monte Carlo (MCMC) algorithm to enable inference for parameters and to provide spatio–temporal predictions. We fit the models to a set of gridded interpolated precipitation data collected over a 50-year period for the Cape Floristic Region in South Africa, summarizing results for what appears to be the best choice of model.

应用灰色模糊马尔科夫链预测海河水质变化趋势

灰色GM(1,1)模型在水质预测中得到了较为广泛的运用,但其存在灰色偏差与抗干扰能力弱的局限性,针对这一问题,将马尔科夫链理论与模糊集合理论引入灰色GM(1,1)预测模型,并应用该模型对海河三岔口断面的DO、CODMn和NH3-N 3项指标2012~2016年的浓度变化趋势进行预测.结果表明,2004~2016年,DO及NH3-N浓度大致呈上升趋势,预计2016年分别可达9.15,1.47mg/L;CODMn浓度呈下降趋势,预计2016年可达3.91mg/L.以2012年的数据做验证,灰色模糊马尔科夫链模型的预测精度最高,可作为科学的水质预测方法.     

How sensitive are elasticities of long-run stochastic growth to how environmental variability is modelled?

A variable environment leaves a signature in a population's dynamics. Deriving statistical and mathematical models of how environmental variability affects population projections has - in the wake of reports of substantial climatic fluctuations - received much recent attention. If the model changes, then so too does the population projection. This is because a different model of environmental variability changes estimates of long-run stochastic growth, which is a function of demographic rates and their temporal sequence. Decomposing elasticities of long-run stochastic growth into constituent parts can assess the relative influence of different components. Here, we investigate the consequences of changing the environmental state definition, and therefore altering the shape of demographic rate distributions and their temporal sequence, by using age-structured matrix models to project vertebrate populations into the future under a range of environmental scenarios. The identity of the most influential demographic rate was consistent among all approaches that perturbed only the mean, but was not when only the variance was perturbed. Furthermore, the influence of each demographic rate fluctuated among projections by up to factors of six and two for changes to the variance and mean, respectively. These changes in influence depend in part upon how environmental variability - in particular, the color of environmental noise - is incorporated. In the light of predictions of increasing climatic variability in the future, these results suggest caution when drawing quantitative conclusions from stochastic population projections.