Supplement 1. The R code for simulating 2-D data with known spectral exponents, sampling, and ANOVA estimation of β.

File List
SynthesiseSpectra2DBetaDetection1000.r  -- r code for generating 2D data and determining variance spectra repeatedly from subsamples (n = 1000)

Description
The SynthesiseSpectra2DBetaDetection1000.r program uses r code to recover spectral exponents from 2D simulated data using repeated
hierarchical analysis of variance over a range of nested spatial scales.
The method for generating the simulated data using inverse Fourier transforms of 1/f β weighted random phases
and numbers, and the returned β-values are given in Appendix B.

文件列表
SynthesiseSpectra2DBetaDetection1000.r —— 用于生成二维数据，并从子样本（样本量n=1000）中重复计算方差谱的R代码

描述
本SynthesiseSpectra2DBetaDetection1000.r程序通过对一系列嵌套空间尺度开展重复分层方差分析，从二维模拟数据中估算谱指数。
模拟数据的生成方法为：对经1/f^β加权的随机相位与随机数执行逆傅里叶变换，最终得到的β值详见附录B。