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Sunday, April 27, 2008

Mann et al "Weighted Dust Veil Index"

It appears the data in the Mann et al "Weighted Dust Veil Index" has been manipulated. Those who use this Northern Hemisphere volcanic DVI data must be aware of its deficiency. I downloaded the data and plugged it into a spreadsheet, then wondered why the data or results appeared unusual when graphed and used in a comparative study.

It's easy to read past what the file title really says. Read the title again. “Weighted Dust Veil Index”. It includes the word “Weighted”, which indicates the data has been biased, or slanted, or prejudiced. When I determined what Mann et al had done, I asked myself, “What part of weighted didn’t you understand, Bob?”

The Mann et al Weighted Dust Veil Index (DVI) data for the Northern Hemisphere is available here: http://www.ncdc.noaa.gov/paleo/ei/ei_data/volcanic.dat

A graph of the data:


The magnitudes of the Nicaraguan Coseguina eruption in 1835, the Indonesian Tambora eruption in 1815, and the 1766 eruption of the Mayon volcano in the Philippines mask the problem with the Mount Pinatubo data.

The 1991 through 1993 weighting is significant. It more than doubles the impact of the Mount Pinatubo eruption and, by doing so, diminishes all those before it.

First, an overview of the Lamb Dust Veil Index from NASA: “Lamb (1970) formulated the Dust Veil Index (DVI) in an attempt to quantify the impact on the Earth's energy balance of changes in atmospheric composition due to explosive volcanic eruptions. The DVI is a numerical index that quantifies the impact of a particular volcanic eruption's release of dust and aerosols over the years following the event. This package ... provides DVI's for the period 1500 - 1983 (DVI = 1,000 for Krakatoa in 1883), along with DVI estimates for the eruptions of Santorin in 1470 B.C., Vesuvius in 79 A.D., and Oraefajokull in 1362 A.D.”

For further information: http://gcmd.nasa.gov/records/GCMD_CDIAC_NDP13.html

For Lamb Dust Veil Index Data: ftp://cdiac.esd.ornl.gov/pub/ndp013/

Back to Mann et al DVI: The Mann et al DVI data is a supplement to the "Mann, M.E., et al., 2000, Global Temperature Patterns in Past Centuries: An Interactive Presentation, IGBP Pages/World Data Center for Paleoclimatology Data Contribution Series #2000-075. NOAA/NGDC Paleoclimatology Program, Boulder CO, USA," henceforth Mann2000. It contains one volcanic reference: "Briffa, K. R., P. D. Jones, F. H. Schweingruber, and T. J. Osborn, 1998: Influence of volcanic eruptions on Northern Hemisphere summer temperature over the past 600 years. Nature, 393, 350–354." There were no values provided for the Dust Veil Index in the Briffa reference.


The Mann 2000 paper also references Mann et al 1998, henceforth MBH98, which provides other possible sources of the data.


MBH98 discusses DVI as follows: "…and (3) the weighted historical 'dust veil index' (DVI) of explosive volcanism (see Fig. 31.1 in ref. 40) updated with recent data 41." The references are:

"40. Bradley, R. S. & Jones, P. D. in Climate Since A.D. 1500 (eds Bradley, R. S. & Jones, P. D.) 606–622 (Routledge, London, 1992)."


"41. Robock, A. & Free, M. P. Ice cores as an index of global volcanism from 1850 to the present. J. Geophys. Res. 100, 11549–11567 (1995)."


The Robock & Free "Ice Core" reference: In it, there is no assignment of a DVI value for Pinatubo or for the year 1991. It is a study of Ice Core data that uses the Lamb DVI as one of many sources of data for comparisons of volcanic indices. Robock and Free modified Lamb DVI for this study, to "eliminate the temperature influence…" in the original Lamb data. This revision is not reflected in the Mann et al DVI data, since Mann DVI uses unmodified Lamb DVI data as its source. Robock and Free also discuss in this report that the DVI was updated "to include estimates for the period from 1983 to 1995, accounting for the decay of the El Chichon cloud, the small Augustine eruption, and the 1991 eruptions of Mount Pinatubo and Hudson." But Robock and Free do not provide the DVI values for those years except in comparative graphs expressed as optical depth, not DVI.

El Chichon-1982: Mann et al use the Lamb DVI data for this year, which includes data for El Chichon and two additional eruptions in 1982: Pagan and Galunggung. No weighting was performed by Mann et al on this data.

Augustine-1986: The Mann et al DVI data does not reflect any DVI in 1986 for this Alaskan volcano or in the three years that follow. Mann et al weighted its DVI value by omission.

Mount Pinatubo-1991: In the "Ice Core" study, Robock and Free do cite another of Robock's studies from 1995 (Robock and Mao, "The Volcanic Signal in Surface Temperature Observations" in the Journal of Climate),


In it a DVI/Emax value of 1000 is assigned to Mount Pinatubo (1991), located at 15N. This value is confirmed by the Global DVI value of 1000 in a 2002 report by Pitari and Mancini ("Short-term climatic impact of the 1991 volcanic eruption of Mt. Pinatubo and effects on atmospheric tracers" published in Natural Hazards and Earth System Sciences (2002) 2: 91–108).


Note: Since Mount Pinatubo is a low-latitude volcano (within 20S and 20N), the EMax would be 1, making the Mount Pinatubo values in the Robock and the Pitari studies equal. The Mount Pinatubo weighting is discussed further later.

Hudson-1991: Cerro Hudson is a Chilean volcano, located at 46S. The Robock "Ice Core" study included the Southern Hemisphere where the Cerro Hudson data would used, but due to its location and relatively small size, it would have had little to no influence on Northern Hemisphere data.

The Second MBH98 DVI Reference: The Bradley and Jones discussion of Figure 31.1 in "Climate Science Since A.D. 1500" (page 608) states, "Cumulative DVI for the northern hemisphere, assuming the dust from an individual eruption is apportioned over four years with 40% of each DVI assigned to year 1, 30% to year 2, 20% to year 3, and 10% to year 4… …(DVI values from Lamb 1970, 1977, 1983)."

For example, the Lamb Northern Hemisphere DVI value for the 1500 A.D. Java eruption is 500. The DVI readings in the Mann et al data are 200 at 1500 A.D., 150 at 1501 A.D., 100 at 1502 A.D., and 50 at 1503 A.D. Prior to 1985 (1982 plus three years of decay), all Mann et al DVI values use the Lamb Northern Hemisphere DVI data and this relationship. There were no 1991 to 1993 DVI values (Mount Pinatubo) in the Lamb DVI data because the Lamb study ended in 1983. It was here that Mann et al weighted the Lamb DVI data by tagging on Mount Pinatubo data, which, as discussed later, is inflated, hence the use of the word "Weighted" in the title of the data.


Mann et al added one volcano to an existing data base of over 400 volcanic eruptions to create their Weighted Volcanic Dust Veil Index. By inflating the Pinatubo eruption they chopped the effects of all those that preceded it.

There is no explanation accompanying the Mann et al DVI data as to how the update was carried out. However, if Mann et al followed the data apportionment process in 1991 through 1993, this would dictate that the Northern Hemisphere DVI value for the Mount Pinatubo eruption would have to have been 1250 (500/0.4). This NH value is greater than the Global DVI/EMax value of 1000 for Mount Pinatubo listed in Table 1 of the second Robock report and the Global DVI value of 1000 in the report by Pitari and Mancini. Based on Figures 1 and 2 of the Robock "Ice Core" study, the impact of Mount Pinatubo was evenly distributed between NH and SH. This would equate to a Global DVI of 2500 if the MBH apportionment was not weighted.

Mann et al appear to have divided the Global value of 1000 by 2 to calculate the Northern Hemisphere DVI value of 500 at 1991. Unfortunately, it also appears they failed to follow the apportionment for a cumulative DVI value of 500, where the first through fourth year values should be 40% of 500 (200), 30% (150), 20% (100), 10% (50). They used 100% when applying it to the first year, then downscaled from there.

The cumulative DVI data for the Mount Pinatubo eruption in the Mann 2000 supplemental table reads:

Year DVI
1991 500.0
1992 375.0
1993 250.0
1994 125.0

The following graph illustrates Northern Hemisphere DVI data and polynomial trend from 1850 to 1995 using the Mann data.


Based on a Global DVI of 1000 and a hemispheric DVI of 500, the values calculated by the cumulative method (40%, 30%, 20%, 10%) should be:

Year DVI
1991 200.0
1992 150.0
1993 100.0
1994 50.0

The following graph illustrates Northern Hemisphere DVI data, with polynomial trend, that has not been weighted, from 1850 to 1995, using the proper method of calculating the cumulative DVI.


Note the improved relationship between the two eruptions of equal DVI, 1883 Krakatau (Plus St Augustine) and 1991 Mount Pinatubo. Also note the disappearance of the "Hockey Stick" effect in the polynomial trend line.

It could be argued that a cumulative DVI value of 200 in 1991 is not reflected by the Robock graphs, where the optical depth values for Mount Pinatubo is significantly higher than El Chichon and slightly higher than Krakatau in 1883. Refer Figure 9 of the Robock "Ice cores" study.


It appears the Robock and Free adjustments did more to lower the El Chichon value than it did to raise Mount Pinatubo's. If Mann et al intended to weight the Mount Pinatubo eruption so that its relationship with El Chichon was represented better, then the El Chichon values should have been lowered, so that the correlation between Mount Pinatubo and other eruptions of equal magnitude was preserved.


Traciatim said...

The reason your images posted fuzzy is because you are resizing them with the image tag rather than with an image viewer. If you open up the source to the actual image in your browser you see they are clear and fine.

Bob Tisdale said...

Traciatim: Thanks. Fixed it.


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