Sun Spot Number (SSN)

Determination of ionospheric characteristics related to HF propagation requires knowledge of the prevailing levels of solar activity (ITU-R P.1239-3, 2012). The Sunspot Number (SSN), quantifying of the number of dark spots visible on the Sun’s surface, has historically served as the primary proxy of solar activity (Clette et al., 2015). Records of SSNs date back over 400 years, providing a valuable insight into the sun's quasi periodic 11-year cycle of activity. Superimposed onto this cycle are shorter term variations that can result in large fluctuations in day-to-day values. More recent research suggests that the 11 year cycle is itself modulated by the interaction of two solar dynamos, accounting for the fluctuations in the level of activity observed during each cycle (Zharkova et al., 2015).

The figure below illustrates how daily values (yellow) may be averaged over month (blue) and monthly smoothed (12-month) (red) periods, eliminating complex short term variations to yield a more predictable indicator of solar activity. The preferred ionospheric metric when determining the critical frequencies of the various layers and the MUF factor M(3000)F2 is a 12-month running mean sunspot number, R12 (ITU-R P.1239-3, 2012). R12 values are a function of sunspot values extending at least six months either side of the month of interest (ITU-R P.371-8, 1999). (Note that this has the unfortunate side effect that an R12 value for a given month ‘m’ cannot be absolutely determined until ‘m+6’ (six months later)).

Figure 1: Daily and Monthly Sunspot Number (last 13 years)
Image Source: WDC-SILSO, Royal Observatory of Belgium, Brussels

SSN Values

Recommendation ITU-R P.371-8 (1999) states that the SSN (R12) values presented in the ITU's Circular of Basic Indices for Ionospheric Propagation should be used in conjunction with Recommendation ITU-R P.533-13, which defines ITURHFProp's underlying algorithm. Values presented in the circular are derived from the SSN (Standard Curves method) data published by WDC-SILSO, Royal Observatory of Belgium, Brussels.  In addition to the Standard Curves (SC) dataset, the SIDC also publish predictions based on the Combined Model (CM) and the McNish & Lincoln (M&L) method.

Standard Curves
Based on the sunspot number with and uses mean-cycle curves derived from historical data to produce predictions. The Standard curves are considered to be effecive at predicting the declining phase of a cycle but breaks down when approaching the minima so is not so reliable at predicting the rise of the successive cycle.
Combined Method

The combined method makes predictions based on the sunspot number, comparing all cycles recorded since 1749, combined with an assment using the the geomagnetic index (aa). The geomagnetic index, 'aa', is an indicator of the level of future solar activity. For this reason, the Combined Model may produce superior results when passing the Solar mimimum.

McNish & Lincoln

The McNish & Lincoln method is the most established of the three models, dating back to 1949, and is of interest for largely historical reasons. As with the Standard Curves method, only the sunspot is considered as an input which in this case is compared to historical data for the period 1849 to 1975 (cycles 9 to 20). This provides fair predictive abilities for much of the cycle but, in common with the Standard Curves method, is less effective at the minima (±1.5 year).

Podladchikova and Van der Linden (2012) demonstrate how the accuracy of predictions may be improved by the application of a Kalman filter, yielding a total of six sets of predicted SSN data.

The above suggests that while the Standard Curves model provides a reliable source of data for much of the solar cycle, users may wish to experiment with other models, particularly the Combined Model at cycle's minima. Proppy supports selection from all six of the datasets provided by the SIDC.

The (predicted) R12 values for June 2018 are;

ModelStandardKalman Filter
Standard Curves0.00.0
Combined Model6.85.0
McNish & Lincoln8.36.0

It should be noted that selection of the SSN Source parameter only has an effect on predicted values, i.e. values extending from six months ago.

Figure 2: SIDC Sunspot Values
Data Source: WDC-SILSO, Royal Observatory of Belgium, Brussels
SSN Data Source:
Table 1: SSN Data Values
Data Source: WDC-SILSO, Royal Observatory of Belgium, Brussels

Daily Values

While smoothed values are required to calculate critical frequencies of the various layers and the MUF factor, it is useful to remember that the actual value on any given day will almost certainly be different to the smoothed monthly value. Figure 3 below indicates the current daily Estimated International Sunspot Number (EISN) obtained by a simple average over available sunspot counts. This data is not intended for long term use but may provide some insight into the stability of solar conditions.

Figure 3: Estimated International Sunspot Number (EISN)
Image Source: WDC-SILSO, Royal Observatory of Belgium, Brussels

References