Modelling Spatial Point Patterns in R

نویسندگان

  • Adrian Baddeley
  • Rolf Turner
چکیده

This paper describes practical techniques for fitting stochastic models to spatial point pattern data using the statistical language R. The techniques are demonstrated with a detailed analysis of two real datasets. We have implemented the techniques as a package spatstat in the R language. Both spatstat and R are freely available from the R website [19]. Sections 2 and 3 introduce the spatstat package. Theory of point process models is covered in Section 4, while Section 5 describes how to fit models in spatstat, and Section 6 explains how to interpret the fitted models obtained from the package. Models involving external covariates are discussed in Section 7, and models for multitype point patterns in Section 8. Estimation of irregular parameters is discussed in Section 9. Section 10 discusses formal inference for models. Examples are analysed in Sections 11–12.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

TESTING FOR “RANDOMNESS” IN SPATIAL POINT PATTERNS, USING TEST STATISTICS BASED ON ONE-DIMENSIONAL INTER-EVENT DISTANCES

To test for “randomness” in spatial point patterns, we propose two test statistics that are obtained by “reducing” two-dimensional point patterns to the one-dimensional one. Also the exact and asymptotic distribution of these statistics are drawn.

متن کامل

SPOT PATTERNS IN GRAY SCOTT MODEL WITH APPLICATION TO EPIDEMIC CONTROL

In this work, we analyse a pair of two-dimensional coupled reaction-diusion equations known as the Gray-Scott model, in which spot patterns have been observed. We focus on stationary patterns, and begin by deriving the asymptotic scaling of the parameters and variables necessary for the analysis of these patterns. A complete bifurcation study of these solutions is presented. The main mathematic...

متن کامل

بررسی اثر تغییر مقیاس بر الگوی پراکنش مکانی سه گونۀ مرتعی با شاخص‌های فاصله‌ای و روش آنالیز نقطه‌ای در مراتع استان چهارمحال بختیاری

This study aimed to investigate the spatial patterns of Acanthophyllum microcephalum Boiss, Nepeta glomerulosa Boiss and Hertia angustifolia and evaluate the effects of study scale on spatial patterns of three range plant species in Ghale-Gharak research-station located in Shahr-e-Kord. 40 points with a distance of five meters from each other were selected for sampling of vegetation along four ...

متن کامل

GAME OF COORDINATION FOR BACTERIAL PATTERN FORMATION: A FINITE AUTOMATA MODELLING

In this paper, we use game theory to describe the emergence of self-organization and consequent pattern formation through communicative cooperation in Bacillus subtilis colonies. The emergence of cooperative regime is modelled as an n-player Assurance game, with the bacterial colonies as individual players. The game is played iteratively through cooperative communication, and mediated by exchan...

متن کامل

Evaluation of rangeland gross primary productivity sensitivity potential to drought using ecosystem modelling

Gross primary productivity is one of the most important factors in the carbon cycle of terrestrial ecosystems. With global warming increase, the frequent drought events and the specific response of regional vegetation to these changes, it is essential to identify and quantify the relationships between climatic and GPP data in arid region. In this study, the responses of gross primary productivi...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2006