The phrase "a spatial trend" is correct and usable in written English.
It can be used when discussing patterns or changes in data that are related to geographical or physical space.
Example: "The study revealed a spatial trend in population density, indicating that urban areas are becoming increasingly crowded."
Alternatives: "a geographic trend" or "a spatial pattern".
This novel approach allowed us to describe the joint variation of the observations and predictions as: (i) independent random variation that occurred at a fine spatial scale; (ii) correlated random variation that occurred at a coarse spatial scale; (iii) systematic variation associated with a spatial trend.
f n : 2-dimensional smooth function for modeling a spatial trend.
In addition, individual tree volume was increased in the direction northeast to southwest to deliberately create a spatial trend in-stand volume variation.
The models with a spatial trend function of approximately 125 edf for each of the different distribution assumptions (Eqs. 7.5, 8.5, 9.6) were validated in more detail by qqplots (Figure 4) of the randomized quantile residuals.
The curves of temperature sum in growing season reveal increasing trends over time for all regions as well as a spatial trend with increasing values from west to east (Figure 2A).
The implementation of a spatial trend function of low dimension into the model (Eq. 8.4) removed the spatial dependencies for larger distances but significant deviations remained up to a distance of approximately 1 500 m (Figure 9B).
a: Spatial trends of annual PDSI and b, c: correlations between the seasonal and annual series.
For Area A, the spatial trend is not very clear at 1280 s, but the eastern sites are more conductive at longer periods.
At a local scale, analysing the variations of transition probabilities as a function of distance, using various proxies, shows a periodic spatial trend, the style of which depends on the type of rudist assemblage, i.e., community type.
A pronounced spatial trend of larger and further developed outflow systems at lower elevations suggests that features ranging from small lobes to large outflow channels were sourced from a common aquifer or from aquifers with similar pressures.
There was a lakewide spatial trend in increasing sediment contamination from the eastern basin to the western basin, and from the north-central basin to the south-central basin.
