Redefine the correlation coefficient by experiment methods

TL;DR

This paper proposes a revised correlation coefficient tailored for spatial ecological data, addressing variance issues caused by spatial heterogeneity and fractal structures, to improve the analysis of ecological experiments.

Contribution

It introduces a new correlation evaluation system that accounts for spatial heterogeneity, enhancing the analysis of ecological experimental data.

Findings

Developed a revised correlation and regression method for spatial data

Established an experimental correlation system for ecological studies

Addressed variance issues caused by spatial heterogeneity

Abstract

With the establishment of global biological monitor network and development of remote sensing technology, data won't be a limitation, but the variance brought by spatial heterogeneous and fractal will influence correlation coefficient significantly with the enlarged sample scale. Those impede us to find more intrinsic principle in ecology. Ecology is based on experiment, and the experiment methods won't change with spatial. In that condition, if we construct a system to evaluate the experimental difference, that may benefit the study in spatial ecology. In that condition, we give a synthesis discussion from the concept of data, experiment to analysis methods,and revise as well as develop correlation and regression method to make it suit the demand of spatial analysis. An experimental correlation system is established in this report.