Submitted:
04 June 2026
Posted:
04 June 2026
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Abstract
Keywords:
1. Introduction
2. Materials and Methods
2.1. Research Area
2.2. Initial Data for Research
2.3. Statistical Models and Time Series Analysis
- 1)
- Selection of the theoretical law of distribution to estimate averages and Possible marginal errors;
- 2)
- calculation of the criteria of agreement to confirm the reliability of the results obtained by the theoretical law.
2.4. Global Climate Indices
3. Results
3.1. Long-Term Trends in Snow Reserves
3.2. The Impact of Global Climate on the Snow Content of the Region
3.3. Confirmation of the Statistical Significance of the Research Results
4. Discussion
5. Conclusions
Author Contributions
Funding
Acknowledgments
Conflicts of Interest
References
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| Years | North of the Aktobe region | West Kazakhstan region | ||||
|---|---|---|---|---|---|---|
| Snow depth, cm | Snow water content, mm | Days with snow | Snow depth, cm | Snow water content, mm | Days with snow | |
| 1951-1960 | 39 | 120 | 134 | 23 | 68 | 118 |
| 1961-1970 | 33 | 96 | 113 | 23 | 72 | 106 |
| 1971-1980 | 30 | 89 | 143 | 25 | 72 | 118 |
| 1981-1990 | 40 | 79 | 135 | 33 | 81 | 121 |
| 1991-2000 | 47 | 93 | 132 | 34 | 87 | 121 |
| 2001-2010 | 37 | 75 | 130 | 25 | 69 | 107 |
| 2011-2020 | 36 | 85 | 121 | 38 | 80 | 109 |
| 1951-2024 | 38 | 90 | 129 | 29 | 75 | 113 |
| Average: | 31 | 78 | 138 | 21 | 66 | 130 |
| Decades | North of the Aktobe region | West Kazakhstan region | ||||
|---|---|---|---|---|---|---|
| Snow height, cm | Snow water content, mm | Days with snow | Snow height, cm | Snow water content, mm | Days with snow | |
| 1951-1960 | 8 | 42 | -4 | 2 | 2 | -12 |
| 1961-1970 | 2 | 18 | -25 | 2 | 6 | -24 |
| 1971-1980 | -1 | 11 | 5 | 4 | 6 | -12 |
| 1981-1990 | 9 | 1 | -3 | 12 | 15 | -9 |
| 1991-2000 | 16 | 15 | -6 | 13 | 21 | -9 |
| 2001-2010 | 6 | -3 | -8 | 4 | 3 | -23 |
| 2011-2020 | 5 | 7 | -17 | 17 | 14 | -21 |
| 1951-2024 | 7 | 12 | -9 | 8 | 9 | -17 |
| Climate Index | North of the Aktobe region | West Kazakhstan region | ||||
|---|---|---|---|---|---|---|
| Snow height, cm | Snow water content, mm | Days with snow | Snow height, cm | Snow water content, mm | Days with snow | |
| GST | 0,17 | -0,33 | -0,13 | 0,32 | 0,05 | -0,19 |
| SCE | -0,18 | -0,16 | -0,06 | 0,27 | 0,19 | 0,23 |
| ONI | 0,10 | 0,09 | 0,10 | -0,02 | -0,06 | 0,01 |
| AO | 0,15 | 0,02 | 0,05 | 0,17 | 0,17 | -0,07 |
| NAO | 0,23 | -0,10 | 0,14 | 0,28 | 0,16 | 0,02 |
| CO2 | 0,23 | -0,24 | -0,04 | 0,40 | 0,13 | -0,06 |
| Climate Index | North of the Aktobe region | West Kazakhstan region | ||||
|---|---|---|---|---|---|---|
| Snow height, cm | Snow water content, mm | Days with snow | Snow height, cm | Snow water content, mm | Days with snow | |
| GST | 0,15 | -0,32 | -0,16 | 0,36 | 0,12 | -0,17 |
| SCE | -0,32 | -0,21 | 0,14 | 0,07 | 0,07 | 0,24 |
| ONI | 0,15 | 0,14 | 0,07 | 0,02 | -0,03 | 0,01 |
| AO | 0,10 | 0,02 | 0,03 | 0,28 | 0,23 | 0,08 |
| NAO | 0,13 | -0,08 | 0,02 | 0,30 | 0,24 | 0,04 |
| Region | Character snow cover |
Median | Disp-ersion | The standard deviation | Coefficient of variation | Stan- dart error |
Standard error, % | Student t-test |
|---|---|---|---|---|---|---|---|---|
|
North of the Aktobe region |
H, cm | 37,57 | 93,24 | 9,66 | 25,70 | 1,12 | 2,99 | 33,47 |
| W, mm | 89,99 | 613,76 | 24,77 | 27,53 | 2,88 | 3,20 | 31,25 | |
| N, days | 129,45 | 480,13 | 21,91 | 16,93 | 2,55 | 1,97 | 50,82 | |
|
West Kazakhstan region |
H, cm | 29,01 | 91,84 | 9,58 | 33,04 | 1,11 | 3,84 | 26,04 |
| W, mm | 75,43 | 505,41 | 22,48 | 29,80 | 2,61 | 3,46 | 28,86 | |
| N, days | 113,47 | 414,94 | 20,37 | 17,95 | 2,37 | 2,09 | 47,92 |
| Area | Parameter | The Trend for 70 Years | Coefficient of determination R2 | Error |
|---|---|---|---|---|
| North of the Aktobe region | H, cm | 10 | 0,02 | 1,12 |
| W, mm | -30 | 0,24 | 2,88 | |
| N, days | -6 | 0,05 | 2,55 | |
| North of the Ural Region | H, cm | 12 | 0,2 | 1,11 |
| W, mm | 10 | 0,04 | 2,61 | |
| N, days | -8 | 0,06 | 2,37 | |
| Global climate indices | SCE | -0,2 | 0,01 | - |
| GST | 1,5 | 0,87 | - | |
| AO | 0,8 | 0,14 | - | |
| NAO | 1 | 0,26 | - |
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