Theoretical background on pwsFWI: Difference between revisions

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[[File:PwsFWI legend.jpg|center|none|PwsFWI legend.jpg]]
<big>'''This page is being worked on but has some issues with references'''</big>
 
== Introduction ==
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[[File:PwsFWI legend.jpg|center|none|PwsFWI legend.jpg]]
 
The Fire Weather Index for a personal weather station, in short '''pwsFWI''', is probably one of the most complex modules of ''CumulusUtils''. Not so much for the calculations, which once you know what to do are not that complex, but more for the interpretation and understanding of what is shown. This Wiki article will show the science background to pwsFWI.
On my ([https://cumulus.hosiene.co.uk/memberlist.php?mode=viewprofile&u=9016 HansR]) blog you may read [https://meteo-wagenborgen.nl/wp/tag/pwsfwi/ several posts] on the pwsFWI but also on the other fire weather indices in the world notably [https://meteo-wagenborgen.nl/wp/2019/08/11/fire-weather-the-canadian-fwi/ the Canadian FWI]. This complex FWI is used in many places but it is so complex that it is not summarized in equations, but referenced by the articles. The complexity of this FWI was one of the main reasons to create pwsFWI. Other fire indexes such as the Ångström index and the Chandler Burning Index, though often seen on amateur weather sites, have been looked at but these are not discriminating enough.
 
After describing different indices for fire weather, in reverse order. <ref name="FWI">[https://meteo-wagenborgen.nl/wp/2019/08/11/fire-weather-the-canadian-fwi/ The Canadian FWI], some text</ref> (withContains a longer literature list)</ref>, <ref>[https://meteo-wagenborgen.nl/wp/2019/07/27/fire-weather-at-the-end-of-the-heatwave/ At the end of the heatwave]</ref>, <ref>[https://meteo-wagenborgen.nl/wp/2019/07/10/fire-weather-the-angstrom-index-and-the-fmi-index/ The Ångström index and the FMI index]</ref> and <ref>[https://meteo-wagenborgen.nl/wp/2019/07/08/the-chandler-burning-index/ The Chandler Burning Index]</ref>, I concludeconcluded the following:
 
#Wet wood does not burn easily (if at all);
#Moisture content of the fuel (wood) is of great importance;
#Wind does not spark fire but assists drying and is dangerous for propagation;
#Rain contradicts drying but not immediately;
#Drying timber in a forest is not a single day event.
 
== Some remarks on Humidity ==
 
One addition must be made: there are woods which burn more easily than other woods (eucalyptus, pinus etc…), but they also burn only when they are dry. <ref name="HDW">[https://meteo-wagenborgen.nl/wp/wp-content/uploads/2019/08/ja_2018_goodrick_001.pdf Goodrick et.al.], Alan F. Srock, Joseph J. Charney, Brian E. Potter and Scott L. Goodrick, The Hot-Dry-Windy Index: A New FireWeather Index. Atmosphere 2018, 9, 279</ref> state very clearly that:
 
''[…] we want to isolate the effects of weather on a wildland fire, so we define a fire weather index (FWI) as an index that includes only weather inputs and thus does not include explicit or implicit information about the state of wildland fuels or topography.''
 
''[…] However, when a fire index is formulated using an explicit or implicit fuel relationship, the effects of the fuel-based parameters add variability due to the embedded non-linear computations. So, if a “true” FWI fails to identify a dangerous fire event, the index failed either because the weather was not adequately represented in the index or the weather did not have a significant impact on the fire. If a non-weather-only fire index fails to identify a fire event, it could be because of the aforementioned reasons but also could be due to the fuels and/or topography information in the calculation, which makes determining attribution, efficacy, and failure modes for the index more difficult.''
 
This means, they take only meteorology into account.
I assume the same attitude here.
 
<ref>[https://meteo-wagenborgen.nl/wp/wp-content/uploads/2019/08/Using-Correlative-Data-Analysis-to-Develop-Weather-Index-That-Estimates-the-Risk-of-Forest-Fires-In-Lebanon-Assessment-versus-Prevalent-Meteorological-Indices.pdf Hamadeh et.al.] , Nizar Hamadeh, Ali Karouni, Bassam Daya, Pierre Chauvet. Using Correlative Data Analysis to Develop Weather Index That Estimates the Risk of Forest Fires In Lebanon: Assessment versus Prevalent Meteorological Indices. International Journal of Physical Science Research. Vol.1, No.2, pp.14- 38, August 2017.</ref> made an analysis of the correlation between meteorological measurements and fire occurrences. In their paper, the team produced graphs, indicating the probability of fire occurring for a meteorological parameter. They more or less contradict the observations above concerning humidity and wind.
 
But it is not these parameters alone, but in interaction they play their role. Relative humidity and wind together dry out the fuels and it does occur over days or weeks, therefore there is no direct relation between those parameters and fire occurrence.
 
Generally, people will go out – for a picnic or whatever – with nice weather light winds, no rain etc… And on a picnic, a thrown cigarette can light a fire if the fuel is dry enough. Therefore, nice picnic weather characteristics will have higher probability with fire occurrence. Yes, I assume implicitly most wildfires have human origin (maybe as a result of stupidity, definitely not always malicious).
 
 
== Humidity – the science ==
Relative Humidity is defined as the ratio of the vapor pressure and the saturation vapor pressure:
 
<math>{RH} {{=}} \frac{P}{P_{Sat}} </math>
 
Relative humidity is measured directly by the weather station and as such is easy to use. However, the point is that the relative humidity does not cover the whole story. The same RH will require another pressure to become saturated at different temperatures. In other words: at lower temperatures, the same RH requires less evaporation to saturate than at higher temperatures. Or, if looked at a single temperature, the drive to evaporate (to dry the fuel), is given by the difference between the current vapor pressure and the saturated vapor pressure. We call this the vapor pressure deficit (VPD)<ref name="HDW" />. In formula:
Wet wood does not burn easily (if at all);
Moisture content of the fuel (wood) is of great importance;
Wind does not spark fire but assists drying and is dangerous for propagation;
Rain contradicts drying but not immediately;
Drying timber in a forest is not a single day event.
 
== References ==
{{reflist}}
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