Tuesday, 9 December 2025

Victor Conrad’s missing data

Ever since reading Robert Dewar and James Wallis’ ‘Geographical Patterning of Interannual Rainfall Variability in the Tropics and Near Tropics’ about two decades ago, it has occured to me that when the authors say:
“Conrad mapped variability in precipitation for the entire world, using records from 384 stations. For the area between 30˚N and 30˚S, he had 149 stations.”
Yet, Dewar and Wallis fail to note that for many of the high-variability regions they discuss, Conrad had no stations whatsoever. This is true particularly for:
  1. Queensland
  2. eastern Melanesia (the “Fiji–New Caledonia” region of Ropelewski and Halpert)
    • of the regions discussed by Ropelewski and Halpert as having coherent El Niño Southern Oscillation precipitation responses, “Fiji–New Caledonia” is the only one where all stations in Dewar and Wallis’ database are “highly variable”
  3. northwestern coastal Australia
  4. coastal Angola
  5. eastern Kenya and Somalia (“Greater Somalia”)
    • if you read ‘Geographical Patterning of Interannual Rainfall Variability in the Tropics and Near Tropics’ you will see that Dewar and Wallis do discuss the Horn of Africa as noted by Conrad
    • in reality, Conrad had no stations between Zanzibar and Aden, nor in present-day Ethiopia or Eritrea
  6. Baja California
    • of all the high-variability regions in the 1999 dataset, Baja is undoubtedly the most “excusable”, at least in the sense that no data for the region existed as of 1928 when Conrad’s data was collected
Asking the question on Google, I have discovered that the reason most of Australia and eastern Melanesia were unsampled in Victor Conrad‘s 1941 study. Apart from a few stations published in Quarterly Journal of the Royal Meteorological Society — which were those listed by Conrad — Australia’s large assembly of meteorological records was some of the world’s most extensive but also most fragmented:
  1. before the formation of the national Bureau of Meteorology (BoM) in 1908, rainfall data was collected independently by individual Australian colonies (states like New South Wales, Queensland, etc.)
  2. each colony or state published its own monthly meteorological summaries
  3. these were mostly distributed locally or held in national and state archives and libraries rather than in global meteorological circulars
  4. records were held locally or in state archives like the Australian Bureau of Meteorology’s state volumes
    1. the great majority of stations in Australia (and Melanesia) thus had their records published only in state-specific histories and never in global summaries
    2. the vast majority of high-quality long-term records remained “buried” in colonial-era journals, ship logs, or government documents
    3. global sources like Smithsonian’s World Weather Records rarely carried data from these regions
Most Australian and Melanesian meteorological records when Conrad was writing were thus localised and inaccessible to international researchers, being not yet integrated into widely-circulated international compendiums. The most important of these were the UK’s Meteorological Office and the Smithsonian Institution’s World Weather Records.

Even so, one might argue that articles like Steven Sargent Visher’s ‘Variability Versus Uniformity in the Tropics’ published nineteen full years before Conrad’s work should have provided enough data for Onslow and perhaps other parts of tropical Australia. It is possible that the raw data used by Visher were not kept in his archives, but the basic information should have been available to Conrad yet he clearly did not use it.

What I will do below is:
  1. select a representative list of stations in areas of Australia not covered by Conrad
    1. only data from 1928 and before — when his first data were compiled — are included
    2. data will be done in a calendar year format as they were done by Conrad
    3. data will be tabulated as Conrad did for his actual stations, although I have omitted latitude and longitude
    4. I have deviated from Conrad in ordering stations by region in a clockwise order, rather than purely by longitude as Conrad did
  2. compile:
    1. mean annual rainfall by calendar year to 1928
    2. average departure from the mean, and then comparing it in two ways with Conrad’s expected value:
      1. by simple difference, as Conrad did
      2. by ratio to expected average deviation minus 100 percent
Method 2) was added because studying Conrad’s article does suggest that areas of high rainfall but abnormal variability are not easily identified by mere difference from expected value. Of the few high-variability regions identified by Dewar and Wallis for which Conrad did have data, two — the northern South China Sea region and lowland eastern Indonesia — were not identified by Conrad as regions of abnormal variability, not discussed as such. This despite the fact that Nha Trang and Ambon Island were shown as having a variability that was clearly exceptional, whilst nearby stations had sufficiently high variability that a pattern could quite likely have been recognised. Conrad’s failure to recognise the northern South China Sea and lowland eastern Indonesia as areas of unusual rainfall variability related to his use of arithmetic rather than geometric (as used by Dewar and Wallis and by Pierre Camberlin’s 2010 ‘More variable tropical climates have a slower demographic growth’) departure.

Explanatory Shading:

  1. Departures above 20 percent or more than twice Conrad’s expected value have been shaded in dark red
  2. Departures above 10 percent but below 20 percent or more than 1.5 times but less than than twice Conrad’s expected value have been shaded in red
  3. Departures above 5 percent but below 10 percent or more than 1.25 times but less than than 1.5 Conrad’s expected value have been shaded in pink
  4. stations who departure is less than 5 percent and/or less than 1.25 times Conrad’s expected value are unshaded

Representative Stations from Areas of Australia Unrepresented in Conrad’s Study (Courtesy Australian Bureau of Meteorology):

Region Station Elevation Mean Average deviation Percent % deviation from expected departure as % of expected
feet metres inches millimetres inches millimetres
Tropical Queensland Boulia 532 162 10.6 269 5.53 141 52% +28% +117.43%
Burketown 20 6 27.9 709 10.04 255 36% +18% +99.70%
Coen 653 199 46.7 1,187 11.47 291 25% +9% +58.37%
Cooktown 20 6 69.9 1,775 17.23 438 25% +10% +64.36%
Innisfail 33 10 142.8 3,627 26.13 664 18% +4% +30.71%
Townsville 13 4 47.3 1,203 13.59 345 29% +13% +79.46%
Rockhampton 36 11 39.2 995 10.70 272 27% +11% +70.65%
Barcaldine 876 267 19.8 502 6.86 174 35% +16% +87.67%
Murray–Darling Basin Roma 981 299 23.6 599 6.87 174 29% +11% +61.80%
Tamworth 1,326 404 26.8 682 5.07 129 19% +1% +4.95%
Dubbo 853 260 22.2 563 5.22 133 24% +6% +30.82%
Albury 515 157 27.9 709 4.72 120 17% -1% -6.02%
Wentworth 121 37 11.8 301 3.13 79 26% +4% +19.96%
Western Interior Daly Waters 696 212 26.4 670 6.71 170 25% +7% +41.29%
Tennant Creek 1,237 377 14.4 366 5.10 129 35% +15% +77.03%
Moonaree 787 240 7.4 187 2.44 62 33% +6% +22.76%
Wiluna 1,709 521 9.6 244 3.18 81 33% +8% +32.48%
Mount Magnet 1,398 426 9.4 239 3.53 90 38% +13% +50.14%
Halls Creek 1,181 360 21.0 532 6.04 154 29% +11% +60.25%
West Coastal Geraldton 10 3 18.5 469 3.87 98 21% +2% +13.36%
Carnarvon 16 5 9.5 241 3.61 92 38% +13% +52.57%
Onslow 13 4 9.0 228 5.46 139 61% +36% +143.67%
Roebourne 39 12 11.7 297 4.78 121 41% +19% +86.16%
Derby 26 8 25.8 655 8.01 204 31% +13% +72.53%
Southern Coastal Bega 164 50 33.5 852 9.25 235 28% +11% +62.23%
Melbourne 102 31 25.5 648 3.78 96 15% -3% -17.66%
Hobart 171 52 23.9 608 4.26 108 18% 0% -1.18%
Eucla 305 93 10.0 253 2.13 54 21% -3% -10.88%
Albany 10 3 37.3 947 4.98 127 13% -3% -18.98%

Results:

The results clearly show that if Conrad could have obtained existing data for tropical Queensland — extending into the extreme northern Murray–Darling Basin represented by Roma — and the north of Western Australia, he would have recognised them as regions of abnormal rainfall variability analogous to Northeastern Brazil and the northwestern Indian subcontinent. This is true even if we use Conrad’s arithmetic departure method. By geometric departure, as I presumed, tropical Queensland appears somewhat more variable relative to Conrad’s calculated expected value, and the southern arid zone less so. This difference, however, is less than I anticipated.

It is quite possible that had Conrad some of the data tabulated above, he would have seen the two as one region of unusual rainfall variability: the figures for the central Northern Territory [Tennant Creek and Daly Waters] make this quite plausible. However, mechanistically, Queensland is more closely related to lowland eastern Indonesia and eastern Melanesia than to northwestern Australia. The high variability of the latter region is purely due to dependence for rainfall upon random tropical cyclonic disturbances that frequently produce a year’s rain in two or three days. Contrariwise, lowland eastern Indonesia, eastern Melanesia, and almost all of Queensland owe their high variability to lying in the core of the “ENSO horseshoe” where convection is most sensitive to El Niño and La Niña events. The geometric departures in Boulia and Burketown, it might be noted, are only slightly higher than Conrad tabulated for Ambon Island [+87 percent].

The south coast of New South Wales, represented by Bega, is similar to northwest Australia in owing its high variability to distinctly random Tasman Sea cyclones producing exceptionally heavy rainfall.

The remaining unsampled regions of Australia — tabulated here for both fairness and completeness — do not show much surprise in light of later studies like those of Dewar, Eddie van Etten and Camberlin.

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