Sentence examples for spatial trend from inspiring English sources

As a solution to the problem (Brezger and Lang 2006) separate the overall spatial trend into a spatially correlated (structured) and an uncorrelated (unstructured) effect.

The inventory plots are located exactly via coordinates, and hence a 2-dimensional spatial trend function is fitted instead of spatially correlated random effects for distinct areas.

Conversely, mean particle size showed an opposite spatial trend.

Additionally the dimension of the spatial trend function was decreased slightly (edf = 93.38).

An observed structured spatial trend in tree height is modelled via 2-dimensional surface fitting.

By increasing the dimension of the 2-dimensional spatial trend function, the model was improved significantly.

f n : 2-dimensional smooth function for modeling a spatial trend.

The validation was conducted for the model including no spatial trend function (Eq. 8.3), the model with a spatial trend function of low dimension (Eq. 8.4) and the model with a trend function of optimal dimension concerning AIC (Eq. 8.51).

An optimum value was reached at approximately 120 degrees of freedom (edf) for the spatial trend function (Eq. 8.5).

where function μ(s 0) denotes the spatial trend at s 0, and symbol ( hat ) denotes the estimated value.

However, even though the dimension of the spatial trend was increased considerably, a significant overdispersion was still evident (Table 2).