On a property of the exponential distribution

If t is an independent exponentially distributed random variable, the distribution p = [t - x] is a modified geometric distribution, similar to the result of HAWKINS and KOTZ (1976), x is uniform.     

Reconstructing the Pleistocene geography of the Aphelocoma jays (Corvidae)

Understanding historical distributions of species and evolving lineages has been a topic of considerable interest, yet methods used to date have not provided detailed, quantitative distributional hypotheses. Here, we present a technique based on models of species’ ecological niches and Pleistocene climate reconstructions that provides such hypotheses, providing the example of reconstructions for the Aphelocoma jays. We demonstrate in general a greater degree than expected of stability in jay species’ distributional areas back through at least the most recent glaciation event, and that existing patterns of genetic differentiation may date to before the Late Pleistocene glaciations. More generally, the method offers the potential for reconstructing historical distributions of species or lineages, and providing a detailed geographic framework for addressing many biogeographic and systematic questions.     

Evaluation of the spatial distribution of Anoplophora glabripennis (Motschulsky) (Coleoptera: Cerambycidae) in South Korea combining climate and host plant distribution

Anoplophora glabripennis (Motschulsky) (Coleoptera: Cerambycidae), a global forest pest, has a potential to damage forests in South Korea, requiring an effective tool for evaluating its potential distribution. This study aimed to evaluate the spatial distribution of A. glabripennis in South Korea by simultaneously considering climate and host plants. Climatic suitability was firstly evaluated using a CLIMEX model; then, it was combined with the areal distribution of host plants using a simple mathematical formulation. We finally projected the spatial distribution of A. glabripennis onto the map of administrative districts to identify hazardous areas to watch. As a result, the developed model predicted that over 40% of areas in South Korea could be exposed to A. glabripennis damage, and most of them were located in mountainous areas with abundant host plants. In addition, climatic suitability was higher in coastal areas, which was different than a previous record of A. glabripennis occurrence, while the prediction by a comprehensive model was consistent with the record. In conclusion, the model including both climate and host plant occurrence was more reliable than the model which only included climate, and could provide useful data for determining areas for monitoring and control.     

科尔沁沙地盐生草甸主要植物群落种群格局的研究

本文采用方差/均值法,Greig-Smith格局分析法及Hill格局分析法,探讨了科尔沁沙地盐生草甸主要植物群落种群格局及其成因。结果表明,羊草群落和野古草群落中的大部分种为聚集分布,羊草与野古草群落交错区中所有种为聚集分布,其最小面积为0.01m~2,最大面积为6.4×6.4m~2。邻接格子最小取样面积应小于0.05×0.05m~2,最适取样面积为40.96m~2,小规模格局是种子扩散和营养繁殖的结果,中规模起因于匍匐和长根茎的扩散,大规模则取决于土壤总盐分及pH值。     

Spatial distribution of brood-bearing females of limnetic species of Cladocera

In this study, the spatial distribution of brood-bearing females of five species of limnetic cladocerans (Daphnia cucullata, D. longispina, Bosmina coregoni, B. longirostris, Diaphanosoma brachyurum) in the deep mesotrophic lake in relation to the predation pressure of planktivorous fish (roach Rutilus rutilus, perch Perca fluviatilis, catfish Ictalurus nebulosus, white fish Coregonus albula, bleak Alburnus alburnus), and planktonic invertebrates (cyclopoids Mesocyclops leuckartii, Thermocyclops oithonoides, T. crassus, and cladoceran Leptodora kindtii) as well as some environmental variables was estimated. Most cladocerans showed apparent differences in horizontal distribution (ANOVA F = 0.2–0.45, P < 0.05) in the littoral zone and lack of such differences in the pelagic zone (F = 0.07–0.13, P > 0.05). Vertical distribution of most species, in turn, showed a clear pattern in the pelagic zone (F = 0.31–0.39, P < 0.05) and less regularities in the littoral zone (F = 0.15–029, P > 0.05). The differences in spatial distribution of non-predated and predated species suggest that predation pressure, but not predatory type, was an important factor structuring their distribution. Other factors that affected their distribution were conductivity, dissolved oxygen, TOC and macrophyte biomass; however, most of those variables better explained the distribution of brood-bearing cladocerans in the vertical than horizontal aspect.     

Limits to the estimation of species richness: The use of relative abundance distributions

The present study demonstrates the possibility of estimating species numbers of animal or plant communities from samples using relative abundance distributions. We use log‐abundance–species‐rank order plots and derive two new estimators that are based on log‐series and lognormal distributions. At small to moderate sample sizes these estimators appear to be more precise than previous parametric and nonparametric estimators. We test our estimators using samples from 171 published medium‐sized to large animal and plant communities taken from the literature. By this we show that our new estimators define also limits of precision.     

A note on the statistical properties of animal locations

A statistical model of the successive locations of an animal in the plane induces a statistical model of the relative positions of successive locations. A common locational model is that the Cartesian coordinates of successive locations in the plane are independent bivariate normal random variables. This note gives the statistical properties of the direction and length of the vector joining successive locations.     

花曲柳窄吉丁的空间分布

2004年4月~9月,在天津市大港区官港森林公园对花曲柳窄吉丁Agrilus planipennis的空间分布和垂直分布进行了调查研究,应用扩散系数(C)等6种指数法分析测定,确定了该虫在林地中的空间分布呈聚集分布,分布的基本成分是个体群。扩散蔓延规律为聚集型扩散。花曲柳窄吉丁幼虫在树干的垂直分布主要区间在50~150 cm之间。对幼虫垂直分布与树干高度的关系进行分析,其符合立方曲线,曲线方程为:Y=-5.142 9+17.943 7X+21.662 3X2-14.545X3;相关系数R2=0.915,P=0.013。     

Comments on "Improving estimates of the basic reproductive ratio: using both the mean and the dispersal of transition times"

Comments on Heffernan, J. M., Wahl, L. M. (2006). Improving estimates of the basic reproductive ratio: Using both the mean and the dispersal of transition times. Theoretical Population Biology, 70, 135-145.     

暗褐露尾甲成虫在海南豇豆上的空间分布型研究

2015年在海南省豇豆上发现中国新记录种暗褐露尾甲Epuraea picinus。本研究运用5种聚集度指标(m*/m、c、k、I、Ca)和两种回归模型(Taylor幂法则和Iwao回归分析法)研究分析了海南省7个乡镇8块豇豆地上的暗褐露尾甲的空间分布型。结果表明,暗褐露尾甲成虫在海南豇豆上在垂直空间和水平空间均为聚集分布,0.83头/百株时为随机分布。     

青杨脊虎天牛幼虫空间分布格局

20 0 3年 4～ 6月 ,在黑龙江省大庆市红旗林场对青杨脊虎天牛XylotechusrusticusL .幼虫空间分布格局进行了调查研究 ,结果表明该天牛幼虫在杨树人工林内呈负二项分布 ;采用 6种不同聚集指标测定结果均表明为聚集分布。对青杨脊虎天牛幼虫在树干高度上垂直分布研究表明 ,该天牛幼虫在树干上危害部位主要集中在 1～ 4m范围内 ;对该幼虫垂直分布与树干高度进行曲线拟合 ,符合立方曲线 ,曲线方程为y =0 0 68+0 41 7x -0 1 3 6x2 +0 0 1 1x3 ,由相关系数方值R2 =0 83 6验证     

Comparison and Evaluation of Three Methods of Estimation of the Johnson Sb Distribution

Thre methods of estimating the parameters of the Johnson S₆ distribution were tested by simulation. The maximum likelihood method, the method based on percentiles of a sample and the method based on moments of a transformed random variable were taken into consideration. Many sets of samples were generated differing in sizes and in the actual values of parameters, whereupon the parameters were estimated by the three methods. It was proved that if the sample is small or the skewness of the distribution is considerable, the maximum likelihood estimates can assume preposterous values. The method based on moments is recommended due to its simplicity and to the fact that the estimates, though usually biased, never assume absurd values.     

北京市三个功能区空气微生物中值直径及粒径分布特征

空气中微生物对人类健康的危害除了与微生物的种类和浓度有关外,还与微生物粒子的大小密切相关,并且不同粒径的空气微生物对人们健康影响的作用机理不同。通过定点试验调查,运用国产安德森生物粒子取样器着重研究北京市3个功能区(文教区-中国科学院生态环境研究中心所在区域、交通干线-西直门和公园绿地-北京植物园)空气微生物的中值直径和粒径分布。结果表明,不同功能区空气微生物的粒径分布相同,空气细菌,真菌与放线菌的粒径分布各不相同。空气细菌粒径呈偏态分布,空气真菌呈对数正态分布,空气放线菌的分布特征与空气真菌相反,主要分布在>8.2μm和<2.0μm级中。不同属真菌的粒径分布也不相同,枝孢属、青霉属和曲霉属呈对数正态分布,链格孢属和无孢菌为偏态分布。空气细菌的中值直径明显大于空气真菌和放线菌。交通干线和公园绿地空气细菌和真菌粒子中值直径明显大于文教区,放线菌粒子中值直径交通干线明显高于文教区和公园绿地。空气微生物中值直径在一年各月中没有明显的变化规律。