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The phrase "as a function of spatial distance" is correct and usable in written English.
It can be used in contexts involving mathematics, physics, or any field where relationships between variables are discussed, particularly in relation to distance.
Example: "The intensity of the signal decreases as a function of spatial distance from the source."
Alternatives: "in relation to spatial distance" or "depending on spatial distance."
Exact(1)
We tested for spatial autocorrelation among sites by comparing residuals of bird community models by using the Moran's index (I) as a function of spatial distance [67] using the R package [68].
Similar(59)
This was suggested by [30] who modeled the development of frontal macaque cortex by a spatially embedded growing graph where preferential attachment occurs as an exponentially decaying function of spatial distance and growth limited in space.
Genetic relatedness among individuals, estimated as a function of spatial separation between pairs of individuals, has also been used to indirectly infer seed dispersal distances.
The phase as a function of spatial frequency for this orientation was also recorded.
A spatial tuning curve for each cell was then generated by Fourier analyzing the responses and plotting the amplitude of the fundamental as a function of spatial frequency.
Spatial vision is often characterized by measuring sensitivity to contrast as a function of spatial frequency (the spatial contrast sensitivity function, SCSF, i.e., sensitivity vs. spatial frequency).
To quantify resolution, the SNR must be estimated as a function of spatial frequency.
The weights were negatively related to the MSE of KC and RS, which varied as a function of the spatial distance between the estimation point and the closest monitoring site.
These bioclimatic distances served as a covariate of spatial distance.
As being demonstrated, Hi-C interactions can be applied as a measurement of spatial distance and chromatin organizations [ 10].
The first building block of the method used is an estimated probability of local CSFV transmission from an infectious to a susceptible herd as a function of the distance between these herds (spatial transmission kernel).
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com