Southern Oscillation Index (SOI)
The Southern Oscillation Index (SOI) is a standardized index based on the observed sea level pressure (SLP) differences between Tahiti and Darwin, Australia. The SOI is one measure of the large-scale fluctuations in air pressure occurring between the western and eastern tropical Pacific (i.e., the state of the Southern Oscillation) during El Niño and La Niña episodes. In general, smoothed time series of the SOI correspond very well with changes in ocean temperatures across the eastern tropical Pacific. The negative phase of the SOI represents below-normal air pressure at Tahiti and above-normal air pressure at Darwin. Prolonged periods of negative (positive) SOI values coincide with abnormally warm (cold) ocean waters across the eastern tropical Pacific typical of El Niño (La Niña) episodes. The methodology used to calculate SOI is available below. More information can be found at the Climate Prediction Center SOI page.

Calculation of SOI
Note the anomalies are departures from the 1981-2010 base period.
Where:
Where:
σ = √ ∑ (aSLP - mSLP)² / N
and
σmonthly = √ ∑ (sSLPTahiti - sSLPDarwin)² / N
- SLP
- Sea Level Pressure
- sSLP
- Standardized SLP
- aSLP
- Actual SLP
- mSLP
- Mean SLP
- σ
- Standard Deviation
- N
- Number of Months