A spherical semivariogram is given by γ(0)=C₀; for 0 a. Name C₀, C, a respectively.

GATE 2024 MN – Question 18

Mineral Economics, Mine Planning, Systems Engineering · Mine Planning · 1 mark · Multiple choice

A spherical semivariogram is given by γ(0)=C₀; for 0<h≤a, $\gamma(h)=C_0+(C-C_0)[1.5h/a-0.5(h/a)^3]$; and γ(h)=C for h>a. Name C₀, C, a respectively.

Nugget, range, sill
Sill, nugget, range
Sill, range, nugget
Nugget, sill, range

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Correct answer: (D) Nugget, sill, range

Explanation

C₀ represents the nugget or small-scale/discontinuous component. The plateau value C is the sill, and the separation a where that plateau begins is the range. Thus D. Many conventions set γ(0)=0 exactly and interpret the nugget as the right-hand limit; the source’s displayed convention does not change these parameter names.

GATE 2024 MN – Question 18

Explanation

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