.cor_lagr_exp | R Documentation |
Calculate Lagrangian correlation of the exponential form
.cor_lagr_exp(v1, v2, k = 2, h1, h2, u)
v1 |
Prevailing wind, u-component. |
v2 |
Prevailing wind, v-component. |
k |
Scale parameter of |
h1 |
Horizontal distance matrix or array. |
h2 |
Vertical distance matrix or array, same dimension as |
u |
Time lag, same dimension as |
The Lagrangian correlation function of the exponential form with parameters
\boldsymbol v = (v_1, v_2)^\top\in\mathbb{R}^2
has the form
C(\mathbf{h}, u)=\exp\left(-\dfrac{1}{k\|\boldsymbol v\|}
\left\|\mathbf{h}-u\boldsymbol v\right\|\right),
where \|\cdot\|
is the Euclidean distance,
\mathbf{h} = (\mathrm{h}_1, \mathrm{h}_2)^\top\in\mathbb{R}^2
,
and k > 0
is the scale parameter controlling the magnitude of
asymmetry in correlation.
Correlations of the same dimension as h1
.
Diggle, P. J., Tawn, J. A., & Moyeed, R. A. (1998). Model-Based Geostatistics. Journal of the Royal Statistical Society. Series C (Applied Statistics), 47(3), 299–350.
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