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Central PA Winter 25/26 Discussion and Obs


MAG5035
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So Sam Lilo did a ridiculous million winter simulation to try to quantify what Boston experienced that fabled 30 day stretch in 2015 when 90+ inches fell in 30 days. Reaching a conclusion it was a 1:26000 year event. I did similar for Harrisburg based upon 125 years data and 30,000 simulation years.

Based on the analysis of the simulation data (max30_histogram_bins_0p25.csv) and the historical seasonal maxima calculated from the Harrisburg records, the Gamma Distribution remains the best-fitting mathematical model.
1. The Model: Gamma Distribution
The Gamma distribution is ideal for modeling physical quantities that are always positive and exhibit a "heavy tail" (skewed towards high values), such as extreme snowfall events.
Variables Defined:
* x: The 30-day snowfall amount (in inches).
* \alpha (Shape): Determines the fundamental shape and peak of the curve.
* loc (Location): The shift/offset from zero.
* \theta (Scale): Controls the "spread" or horizontal stretch of the distribution.
* \Gamma(\alpha): The Gamma function (an extension of factorials for non-integers).
Equation with Derived Coefficients:
Using the simulation data for the fit:
* * * 2. Goodness of Fit
We used the Kolmogorov-Smirnov (KS) test to evaluate how well the model describes the data. A lower KS statistic (closer to 0) indicates a better fit.
| Dataset | KS Statistic | P-Value | Interpretation |
|---|---|---|---|
| Simulation Data | 0.0155 | 1.05 \times 10^{-6} | Excellent Fit. The model follows the simulation counts almost perfectly across the entire range of values. |
| Historical Observations | 0.1438 | 0.0097 | Moderate Fit. The model generalizes the history but over-predicts low-snow years and under-predicts the mid-range "typical" snowiest months. |
3. Analysis
* Simulation vs. Model: The Gamma curve is a near-perfect approximation of the simulation data. It successfully captures the rapid rise in probability between 0 and 10 inches and the long, thin tail extending past 60 inches.
* Historical Gap: As shown in the right-hand graph, the historical observations are more "clumped" than the model predicts. In reality, Harrisburg has a very strong peak of seasonal maxima between 15 and 25 inches. The model (derived from simulation) peaks slightly earlier (around 10 inches).
* Extreme Tails: The simulation model is much "bolder" than the historical record. It suggests a non-zero probability of 30-day periods exceeding 80 inches, whereas the historical record (spanning ~126 years) has never surpassed ~51 inches.
* Conclusion: The equation is a highly reliable model for the theoretical distribution of 30-day snowfall. However, if used to predict a typical winter in Harrisburg, it will slightly underestimate the "average" peak snow month while significantly overestimating the potential for unprecedented "megastorms."
Screenshot_2026-02-15_005233.jpgScreenshot_2026-02-15_005250.jpg1771134286330.jpg1771135026027.jpg

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14 minutes ago, TheDreamTraveler said:

Does anyone know why we've been having so many air quality alerts recently? I don't remember getting so many so often the past few months. Not a fan honestly.

yeah I even had them when its windy its total bs 

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35 minutes ago, TheDreamTraveler said:

Does anyone know why we've been having so many air quality alerts recently? I don't remember getting so many so often the past few months. Not a fan honestly.

 Apparently it's from particulate and other pollutants  getting trapped under a persistent inversion facilitated by the extremely cold air we had as of late according to the NWS. 

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2 hours ago, Ruin said:

yeah I even had them when its windy its total bs 

It's not fog brother. Wind can often be what's transporting pollution and particulate to you. It's all relative to where the pollution, particulate, pollen radiation, etc, source region,and you are located.  It also appears to me that there is an excess amount of particulate in the air for this time of year. What you're seeing in the pictures below is not moisture or mist. I'm outside every night with a headlamp. My eyes are well, trained to tell the difference between solid particles and water droples. It's not the larger particles that actually cause the respiratory issues, It's the smaller particles making the picture look grainy, and the ones you can't see, that are responsible for the  majority of respiratory and analergy issues.. Cpa is also subject to what are known as oreographic pollen and or pollution showers later in the day and night as the atmosphere cools ,due to our eastern proximitie to the Appalachian mountains .  Cpa can dbe a rough place for people with allergies and health problems due to air quality ,especially when the atmosphere starts to cool after those hot and warm days in the spring and fall, when the pollen and mold counts are elevated.

Screenshot_20260215_014104_Gallery.jpg

Screenshot_20260215_014544_Gallery.jpg

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1 hour ago, Yardstickgozinya said:

It's not fog brother. Wind can often be what's transporting pollution and particulate to you. It's all relative to where the pollution, particulate, pollen radiation, etc, source region,and you are located.  It also appears to me that there is an excess amount of particulate in the air for this time of year. What you're seeing in the pictures below is not moisture or mist. I'm outside every night with a headlamp. My eyes are well, trained to tell the difference between solid particles and water droples. It's not the larger particles that actually cause the respiratory issues, It's the smaller particles making the picture look grainy, and the ones you can't see, that are responsible for the  majority of respiratory and analergy issues.. Cpa is also subject to what are known as oreographic pollen and or pollution showers later in the day and night as the atmosphere cools ,due to our eastern proximitie to the Appalachian mountains .  Cpa can dbe a rough place for people with allergies and health problems due to air quality ,especially when the atmosphere starts to cool after those hot and warm days in the spring and fall, when the pollen and mold counts are elevated.

Screenshot_20260215_014104_Gallery.jpg

Screenshot_20260215_014544_Gallery.jpg

I never seen a bad air quaility alert in windy weather why? cause it blows stigmatic air 2 I rarely ever see it in cold weather why? the particles have a way harder time in lower humidity to bond and cause smog and or other pollution you often see in muggy very humid conditions int he summer. Myself besides from getting sick this winter I had no problems breathing at all.  

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