Peter Gallagher reports that even while the coals are still warm, some are already blaming the Victorian fires on increases in greenhouse gases.

The following summarizes indications of decline in droughts in Australia from 1900 to the present, compiled from data provided with the Drought Exceptional Circumstances Report. Some of this information was provided in the submission the the Australian Meteorological Magazine (more about this tomorrow). Drought is defined as the percentage of area with rainfall lower than the 5th percentile. The areas are averaged over seven Australian regions.

### 1. Moving 30 year Averages

Moving average of climatic trends was illustrated in the DECR (Figure 7), and in Fig 1 from submission to AMM. The figure below shows the overall 30-year running mean of percentage area of exceptionally low rainfall for observations decreasing in almost all areas, and forecasts increasing in all areas with little overlap of the spread of results at 1990.

Figure 2. Overall average (green thick line) of the 30-year running average of percentage area of exceptionally low rainfall for observations is decreasing, in almost all areas (red lines), while models (black lines) are increasing in all areas.

### 2. Difference of means 1900-1950 vs. 1950-2007

Table 1 is a mean comparison for two different periods. For observations, the mean of droughted area in all 7 regions over the period. Observed droughts decreased significantly from 1900-1950 to 1951-2007. The p values for a non-parametric Mann-Whitney test, used because the observations are not normally distributed, indicate the differences between the periods are highly significant.

**Table 1: Mean percentage area of exceptionally low rainfall over time periods. A Mann Whitney rank-sum test shows significant differences between periods.**

1900-2007 | 1900-1967 | 1951-2007 | P 1900-2007 vs. 1951-2007 | P 1900-1950 vs. 1951-2007 | |
---|---|---|---|---|---|

Observed % Area Drought | 5.6Â±0.5 | 6.2Â±0.7 | 4.9Â±0.6 | 0.10 | 0.004 |

### 3. Kruskal-Wallis Rank Sum Test

A non-parametric method for testing equality of population medians among groups, the Kruskal-Wallis test does not assume a normal population, and does assume an identically-shaped and scaled distribution for each group, except for any difference in medians. The result is the same as the Mann-Whitney test, significant decrease in drought in the last 50 years.

P 1900-2007 vs. 1951-2007 | P 1900-1950 vs. 1951-2007 | |
---|---|---|

Observed % Area Drought | 0.10 | 0.004 |

### 4. Differences in Shape

The distribution of observed values appears to be a Pareto (power) distribution, which would be expected for a peaks-over-threshold statistic, emerging from the way drought is defined. A pareto distribution is given by:

$$Pr(X>x)=(\frac{x}{x_m})^{-k}$$

for all $$x â‰¥ x_{m}$$, where $$x_m$$ called â€œscaleâ€, and k is a positive parameter called â€œshapeâ€. When this distribution is used to model the distribution of droughts, the parameter â€œscaleâ€ differs significantly between 1900-1950 to 1951-2007. The R package “Peaks Over Threshold” or POT was used.

**Table 2: Shape parameters of a pareto distribution fit to area of exceptionally low rainfall over time periods. P values for probability of false rejection of null hypothesis given by t-tests .**

1900-2007 | 1900-1967 | 1951-2007 | P 1900-2007 vs. 1951-2007 | P 1900-1950 vs. 1951-2007 | |
---|---|---|---|---|---|

Shape observed | 3.2Â±0.4 | 3.7Â±0.6 | 2.8Â±0.5 | 0.22 | 0.1 |

### 6. Quantiles of periods

In yet another analysis we subject Table 3 of the DECR to statistical testing. This table contains the average percentage area having exceptionally low rainfall years for selected 40-year periods and the most recent

decade (1998-2007).

1900-1939 1910-1949 1920-1959 1930-1969 1940-1979 1950-1989 1960-1999 1968-2007 1998-2007

Qld 9.5 6.5 5.5 4.1 3.3 3.1 2.7 2.6 4.7

NSW 5.7 6.9 5.7 6.2 5.8 4.3 4.0 3.8 6.4

Vic&Tas 5.3 6.0 4.2 6.1 5.1 5.0 5.3 5.2 8.5

SW 5.2 7.1 7.2 6.9 7.9 5.9 4.9 4.4 3.4

NW* 6.3 5.3 6.5 7.5 6.5 6.1 4.7 3.5 3.3

MDB 6.1 7.2 5.8 6.4 5.7 4.1 3.5 3.5 6.9

SWWA 2.5 4.7 4.1 6.5 8.3 6.1 6.3 8.5 8.9

Australia 6.4 6.4 6.6 6.4 6.3 5.3 4.6 3.5 3.1

Using the function ‘quantile’ in R, we output the percentage areas for each probability in each 40 year period. Then we lookup the probability for each region using the most recent 40 year period 1968-2007.

Quantiles

5% 10% 50% 90% 95%

3.25 4.05 5.85 7.15 7.60

```
```

`Regions, area and probability drought has increased.`

Qld 2.6 <5%

NSW 3.8 <10%

Vic&Tas 5.2 NS

SW 4.4 NS

NW* 3.5 <10%

MDB 3.5 95%

Australia 3.5 <10%

The results show that over the last 40 years, regions Qld, NSW, NW, MDB, and Australia as a whole have had significantly less area under drought. Only in SWWA has the drought area increased significantly, while Vic&Tas (the region of recent bushfires) and SW have no significant change.

Drought in Australia as a whole has significantly declined.

### Conclusions

So here are three different approaches, all showing that the propensity to drought in Australia is decreasing with increases in greenhouses gases (using the data from the DECR, defined as the percentage area with exceptionally low rainfall). Obviously this definition does not take into account the effects of higher temperature. However, it is not self-evident that higher temperatures increase drought either, as pan evaporation seems to be decreasing worldwide.

According to the summary of the pan evaporation workshop at the AAS in November 2004, available on the AAS website:

â€˜The scientific and wider community should recognise that global atmospheric warming does not necessarily mean a more drying atmosphere or a drier land surfaceâ€™ (p. 17).

The authors of the summary were Roger Gifford (CSIRO), Neville Nicholls (Monash, formerly BoM), Graham Farquhar (ANU) and Mike Roderick (ANU) – all of them highly regarded researchers.

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