Synchrony affects Taylor's law in theory and data

Area of Science:

• Ecology
• Mathematical Biology
• Spatial Statistics

Background:

• Taylor's law (TL) is an empirical pattern linking variance and mean of non-negative measurements, often applied to spatially distributed populations.
• Spatial synchrony, the temporal correlation of population densities across locations, is increasingly recognized as a critical ecological factor, with changing patterns linked to climate change.

Purpose of the Study:

• To investigate the influence of spatial synchrony on the validity and parameters of Taylor's Law.
• To determine how synchrony affects the exponent (b) in Taylor's Law, which is hypothesized to reflect spatial aggregation.

Main Methods:

• Employed a combination of mathematical modeling, numerical simulations, and empirical data analysis.
• Utilized randomization-based approaches to assess the impact of synchrony on TL parameters.
• Examined time series data of population densities from different locations.

Main Results:

• Demonstrated that increased spatial synchrony generally leads to a decrease in the exponent (b) of Taylor's Law.
• Found that synchrony significantly influenced TL parameters across all analytical, numerical, and empirical analyses.
• Observed this effect consistently, suggesting a widespread impact of synchrony on TL.

Conclusions:

• Spatial synchrony is a crucial factor that affects the exponent of Taylor's Law in ecological systems.
• The findings suggest that TL may need re-evaluation in systems exhibiting high degrees of spatial synchrony.
• The influence of synchrony on TL is likely pervasive in ecologically and economically important natural systems.