From: Methods for assessment of short-term coral reef fish movements within an acoustic array
Method
Arithmetic
Harmonic
Observation-weighted*
Χ ¯ = ∑ i = 1 n R i X i ∑ i = 1 n R i
Y ¯ = ∑ i = 1 n R i Y i ∑ i = 1 n Ri
X ¯ = ∑ i = 1 n R i ∑ i = 1 n R i X i
Y ¯ = ∑ i = 1 n R i ∑ i = 1 n R i Y i
Model-weighted
X ¯ = ∑ i = 1 n ω i X i ∑ i = 1 n ω i
Y ¯ = ∑ i = 1 n ω i Y i ∑ i = 1 n ω i
X ¯ = ∑ i = 1 n ω i ∑ i = 1 n ω i X i
Y ¯ = ∑ i = 1 n ω i ∑ i = 1 n ω i Y i