点格局研究过程中K-函数的累积效应

doi:10.13287/j.1001-9332.202205.005

应用生态学报 ›› 2022, Vol. 33 ›› Issue (5): 1275-1282.doi: 10.13287/j.1001-9332.202205.005

点格局研究过程中K-函数的累积效应

王鑫厅^1*, 王殿杰¹, 李海兵², 邰阳³, 姜超⁴, 刘芳¹, 李素英¹, 苗百岭⁵

¹内蒙古工业大学能源与动力工程学院/环境污染控制与修复内蒙古自治区高等学校重点实验室, 呼和浩特 010051;
²内蒙古自治区生态环境科学研究院, 呼和浩特 010011;
³内蒙古珊瑚环保技术有限公司, 呼和浩特 010010;
⁴中国农业科学院草原研究所, 呼和浩特 010010;
⁵内蒙古自治区气象科学研究所, 呼和浩特 010051

收稿日期:2021-10-11 接受日期:2021-12-20 出版日期:2022-05-15 发布日期:2022-11-15
通讯作者: * E-mail: wang_x_t2002@163.com
作者简介:王鑫厅, 男, 1978年生, 教授。主要从事植物种群空间格局与物种间相互作用研究。E-mail: wang_x_t2002@163.com
基金资助:
国家自然科学基金项目(32060251, 31960261)、内蒙古自然科学基金项目(2017MS0302, 2019MS05018)和内蒙古自治区高等学校科研项目(NJZY20081)资助。

Cumulative effects of K-function in the research of point patterns

WANG Xin-ting^1*, WANG Dian-jie¹, LI Hai-bing², TAI Yang³, JIANG Chao⁴, LIU Fang¹, LI Su-ying¹, MIAO Bai-ling⁵

¹School of Energy and Power Engineering, Inner Mongolia University of Technology/Key Laboratory of Environmental Pollution Control and Remediation at Universities of Inner Mongolia Autonomous Region, Hohhot 010051, China;
²Inner Mongolia Research Academy of Ecological and Environmental Sciences, Hohhot 010011, China;
³Inner Mongolia Sunture Environmental Technology Co., Ltd, Hohhot 010010, China;
⁴Institute of Grassland Research, Chinese Academy of Agriculture Sciences, Hohhot 010010, China;
⁵Inner Mongolia Meteorological Institute, Hohhot 010051, China

Received:2021-10-11 Accepted:2021-12-20 Online:2022-05-15 Published:2022-11-15

摘要/Abstract

摘要： 植物种群空间格局是生态学研究的基本问题之一, 点格局分析已成为植物种群空间格局研究的重要方法之一, 其中, Ripley's K函数是点格局常用分析方法。然而, 由于Ripley's K函数具有累积效应, 这种累积效应可能会导致特定的格局特征。为了探讨Ripley's K函数的累积效应如何影响种群格局研究结果, 以大针茅种群数据为基础, 通过R软件模拟聚集分布、随机分布和均匀分布3种格局类型, 对比使用具有累积效应的Ripley's K函数和不具有累积效应的成对相关函数进行分析。结果表明: 对于聚集分布和均匀分布, Ripley's K函数的累积效应表现在2个方面: 一方面增加了聚集分布(或均匀分布)的尺度, 另一方面能够检测到聚块或负相互作用范围在取样空间的分布差异而表现出不同的格局特征。而对于随机分布, Ripley's K函数没有累积效应。因此, 在种群格局研究过程中, 通过重复取样且Ripley's K 函数与成对相关函数相结合的方法探讨种群格局, 更能揭示空间格局的本质特征。

关键词: K-函数, 成对相关函数, 空间点格局, 累积效应

Abstract: The spatial pattern of plant population is one of primary issues in ecological research. Point pattern analy-sis is considered as an important method to study the spatial pattern of plant population. Ripley's K function has been commonly used for point pattern analysis. However, the cumulative effect of Ripley's K function may lead to specific spatial pattern charcteristics. To explore how the cumulative effect of Ripley's K function affects population pattern, the data of clumped distribution, random distribution and regular distribution of Stipa grandis were simulated by R software. All data generated by R software were analyzed by Ripley's K function and the non-cumulative pairwise correlation function g(r). The results showed that for clumped distribution (or regular distribution), the cumulative effect of Ripley's K function was manifested in two aspects. On the one hand, the scale of clumped distribution (or regular distribution) was increased due to Ripley's K function. On the other hand, Ripley's K function could detect the difference of the distribution of cluster (or negative interaction range) in the sampling space, exhibiting different pattern characteristics. For random distribution, Ripley's K function had no cumulative effect. In conclusion, the combination of Ripley's K function and pairwise correlation function by collecting replicate samples could better reveal the essential characteristics of the pattern in the study of population pattern.

Key words: K-function, pair correlation function, spatial point pattern, cumulative effect

王鑫厅, 王殿杰, 李海兵, 邰阳, 姜超, 刘芳, 李素英, 苗百岭. 点格局研究过程中K-函数的累积效应[J]. 应用生态学报, 2022, 33(5): 1275-1282.

WANG Xin-ting, WANG Dian-jie, LI Hai-bing, TAI Yang, JIANG Chao, LIU Fang, LI Su-ying, MIAO Bai-ling. Cumulative effects of K-function in the research of point patterns[J]. Chinese Journal of Applied Ecology, 2022, 33(5): 1275-1282.

参考文献

[1] Legendre P, Fortin MJ. Spatial pattern and ecological analysis. Vegetatio, 1989, 80: 107-138
[2] Kareiva P. Space: The ﬁnal frontier for ecological theory. Ecology, 1994, 75: 1
[3] Tilman D. Competition and biodiversity in spatially structured habitats. Ecology, 1994, 75: 2-16
[4] Tilman D, Kareiva P. Spatial Ecology: The Role of Space in Population Dynamics and Interspeciﬁc Interactions. Princeton: Princeton University Press, 1997
[5] Condit R. Spatial patterns in the distribution of tropical tree species. Science, 2000, 288: 1414-1418
[6] Dungan JL, Perry JN, Dale MRT, et al. A balanced view of scale in spatial statistical analysis. Ecography, 2002, 25: 626-640
[7] Turner MG. Landscape ecology: What is the state of the science? Annual Review of Ecology, Evolution and Systematics, 2005, 36: 319-344
[8] Law R, Illian J, Burslem DFRP, et al. Ecological information from spatial patterns of plants: Insights from point process theory. Journal of Ecology, 2009, 97: 616-628
[9] Wang X, Wiegand T, Hao Z, et al. Species associations in an old-growth temperate forest in north-eastern China. Journal of Ecology, 2010, 98: 674-686
[10] Jia X, Dai XF, Shen ZX, et al. Facilitation can maintain clustered spatial pattern of plant populations during density-dependent mortality: Insights from a zone-of-influence model. Oikos, 2011, 120: 472-480
[11] 张兰, 张华, 赵传燕. 黑河下游胡杨种群的点格局分析. 应用生态学报, 2014, 25(12): 3407-3412
[12] 王鑫厅, 姜超. 典型草原放牧干扰下的点格局研究. 北京: 科学出版社, 2018
[13] 闫秀, 窦建德, 黄维, 等. 宁夏珍稀濒危植物半日花种群结构和点格局分析. 应用生态学报, 2020, 31(11): 3614-3620
[14] Wang X, Jiang C, Chi Y, et al. Facilitation in plants shifts along a recovery gradient induced by long-term overgrazing in a temperate steppe community. Journal of Vegetation Science, 2021, 32: e13019
[15] Watt AS. Pattern and process in the plant community. Journal of Ecology, 1947, 35: 1-22
[16] Greig-Smith P. Pattern in vegetation. Journal of Eco-logy, 1979, 67: 755-779
[17] Leps J. Can underlying mechanisms be deduced from observed patterns// Krahulec F, Agnew ADQ, Agnew S, eds. Spatial Processes in Plant Communities. The Hague: SPB Academic Publishing, 1990: 1-11
[18] Wiegand T, Gunatilleke S, Gunatilleke N, et al. Analyzing the spatial structure of a Sri Lankan tree species with multiple scales of clustering. Ecology, 2007, 88: 3088-3102
[19] Wiegand T, Moloney KA. A Handbook of Spatial Point Pattern Analysis in Ecology. Boca Raton: Chapman and Hall/CRC Press, 2014
[20] Ripley BD. Spatial Statistics. New York: Wiley, 1981
[21] Stoyan D, Stoyan H. Fractals, Random Shapes and Point Fields: Methods of Geometrical Statistics. New York: John Wiley and Sons, 1994
[22] Dale MRT. Spatial Pattern Analysis in Plant Ecology. Cambridge: Cambridge University Press, 1999
[23] Diggle PJ. Statistical Analysis of Point Patterns. 2nd Ed. London: Arnold, 2003
[24] Diggle PJ. Statistical Analysis of Spatial and Spatio-temporal Point Patterns. 3rd Ed. Boca Raton: CRC Press, 2013
[25] Velázquez E, Martínez I, Getzin S, et al. An evaluation of the state of spatial point pattern analysis in ecology. Ecography, 2016, 39: 1042-1055
[26] Wiegand T, Moloney KA. Rings, circles, and null-models for point pattern analysis in ecology. Oikos, 2004, 104: 209-229
[27] Stoyan D, Penttinen A. Recent application of point process methods in forest statistics. Statistical Science, 2000, 15: 61-78
[28] Ripley BD. The second-order analysis of stationary point processes. Journal of Applied Probability, 1976, 13: 255-266
[29] Ripley BD. Modelling spatial pattern. Journal of the Royal Statistical Society Series B, 1977, 39: 172-212
[30] Wiegand T, Grabarnik P, Stoyan D. Envelope tests for spatial point patterns with and without simulation. Ecosphere, 2016, 7: e01365
[31] Shen G, Yu M, Hu XS, et al. Species-area relationships explained by the joint effects of dispersal limitation and habitat heterogeneity. Ecology, 2009, 90: 3033-3041
[32] 王鑫厅, 柴静, 姜超, 等. 典型草原大针茅种群空间格局及对长期过度放牧的响应. 生物多样性, 2020, 28(2): 128-134

点格局研究过程中K-函数的累积效应

Cumulative effects of K-function in the research of point patterns

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