Ripley’s K function
نویسنده
چکیده
Ripley’s K(t) function is a tool to analyze completely mapped spatial point process data. Spatial point process data consists of the locations of events. These are usually recorded in 2 dimensions, but they may be locations along a line or in space. Here I will only describe K(t) for 2 dimensional spatial data. Completely mapped data includes the locations of all events in a predefined study area. Ripley’s K(t) function can be used to summarize a point pattern, test hypotheses about the pattern, estimate parameters and fit models. Bivariate or multivariate generalizations can be used to describe relationships between two or more point patterns. Applications include spatial patterns of trees [29, 20, 10], herbaceous plants [28], bird nests [11], and disease cases [7]. Details of various theoretical aspects of K(t) are in books by Ripley [26], Diggle [6], Cressie [4], Stoyan and Stoyan [31]. Examples of computation and interpretation can be found in those books and also Upton and Fingleton [32].
منابع مشابه
A Modification of Ripley’s K Function to Measure Aggregation About a Mass
We present a methodology that detects spatial patterns of 3-dimensional point processes that include a mass within the study region. Spatial patterns such as clustering, randomness, or repulsion are considered in respect to the mass surface. Our method closely resembles Ripley’s K Function but is modified to discern the pattern about the mass surface. We walk though the definition and derivatio...
متن کاملSpatial Point Pattern Analysis of Neurons Using Ripley’s K-function and Voronoi Tessellation
The aim of this project is to apply and develop methods for statistical analysis of spatial point patterns. Spatial point pattern analysis is widely used within biological fields of inferential statistics. This text is constructed upon applications and developement of such analysis on distribution of neurons. Unknown distributions in statistics are in principle investigated using non-parametric...
متن کاملارزیابی کمّی میزان تمرکز توسعه اراضی شهری با استفاده از تابع Ripley’s K در GIS منطقه مورد مطالعه: محدوده شهرهای اسلام‌شهر، رباط‌کریم، نسیم‌شهر
فرایند توسعة شهرها همواره یکی از مهم‌ترین موضوعات پیشِ روی پژوهشگران مسائل شهری بوده است. افزون بر میزان رشد شهرها در زمان‌های مختلف، شکل و الگوی توسعه نیز مورد توجه بوده است. در پژوهش حاضر از یکی از توابع تحلیلی سامانة اطلاعات جغرافیایی (GIS) به نام تابع Ripley’s K استفاده گردید. براساس این تابع می‌توان وضعیت تمرکز (خوشه‌ای بودن) نقاط نمونه را نسبت به حالت تصادفی براساس شمارش تعداد نقاط در فواص...
متن کاملA statistical test for ripley’s K function rejection of poisson null hypothesis
HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau...
متن کامل