Fig. 1.

Fig. 2.

Fig. 3.

Fig. 4.

Fig. 5.

Fig. 6.

Fig. 7.

Fig. 8.

Fig. 9.

Segmental regression models of the rainfall/gully water runoff relationship_
| Data | Equation | Determination coefficient (R2) | Break point (b) |
|---|---|---|---|
| Monthly | y = 68x + 487 and y = 18.4x + 5235 | 0.62 | 2216.0 |
| Half year: XI–IV | y = 26.3x - 1377 and y = –47.8x + 29783 | 0.63 | 13461.0 |
| Half year: V–X | y = 11.5x – 853 and y = –6.9x + 29353 | 0.73 | 196.8 |
| Hydrological year | y = 9.4x + 7610 and y = 96.6x – 10434 | 0.79 | 26593.0 |
| Average monthly: 2003–2022 | y = 16x + 747 and y = –8.6x + 3464 | 0.64 | 2216.0 |
| 2003–2006 | y = 6 x + 98.6 and y = 2782x – 80825 | 0.99 | 1517.0 |
| 2007–2009 | y = 0.5 x + 3.4 and y = –12 x + 1153 | 0.90 | 161.6 |
| 2010–2018 | y = 18.3 x + 1193 and y = 29.7x + 2534 | 0.82 | 3277.6 |
| 2019–2022 | y = 2.8 x + 1216 and y = –24.3x + 4372 | 0.80 | 2068.4 |
Hydrological results of mostly effective rainfalls in the Kolonia Celejów in 2003-2022_
| Date of rainfall | Coefficient | Remarks | |||||||
|---|---|---|---|---|---|---|---|---|---|
| Rainfall sum [mm] | Max rain intensity [mm·min.−1] | Rain efficiency3 | Max discharge [dm·s−1] | Total surface runoff [m3] | Runoff surface index [mm] | Runoff coefficient [%] | Max spec. runoff [dm3·s−1·km−2] | ||
| 4.V.2005 | 64.5 | 0.6 | 38.7 | 167.8 | 1620.0 | 1.3 | 2.0 | 135.5 | downpour |
| 31.VII.2005 | 34.3 | 2.4 | 82.3 | 283.6 | 932.7 | 0.8 | 2.2 | 228.7 | downpour |
| 4.VIII.2005 | 17.8 | 0.9 | 16.0 | 59.1 | 181.2 | 0.1 | 0.8 | 47.7 | downpour |
| 18.VIII.2006 | 14.9 | 2.9 | 43.2 | 57.0 | 205.3 | 0.2 | 1.1 | 41.2 | downpour |
| 20.VIII.2006 | 28.0 | 2.4 | 67.2 | 193.4 | 766.7 | 0.6 | 2.2 | 156.0 | downpour |
| 10.06.2009 | 24.3 | 1.1 | 26.7 | 146.1 | 433.5 | 0.3 | 1.4 | 117.8 | downpour, damp ground, |
| 23.VIII.2009 | 33.9 | 0.5 | 17.0 | 65.1 | 500.9 | 0.4 | 1.2 | 52.5 | continuous rain, dry ground |
| 14.VI.2010 | 30.1 | 1.5 | 45.2 | 273.0 | 704.6 | 0.6 | 1.9 | 220.2 | continuous rain, damp ground |
| 18.VII.2010 | 38.4 | 1.9 | 73.0 | 473.6 | 1784.0 | 1.4 | 3.7 | 381.9 | downpour, dry ground, |
| 6.VIII.2010 | 24.7 | 1.4 | 34.6 | 273.0 | 624.9 | 0.5 | 2.0 | 220.2 | continuous rain, damp ground |
| 31.VIII–2.IX.2010 | 100.2 | 0.6 | 60.1 | 81.3 | 7084.6 | 5.7 | 5.7 | 65.6 | continuous rain, damp ground |
| 6.VII.2011 | 24.3 | 0.8 | 19.4 | 300.0 | 2253.6 | 1.8 | 7.5 | 241.9 | continuous rain, damp ground |
| 18.VII.2011 | 18.2 | 1.4 | 25.5 | 163.8 | 665.6 | 0.5 | 2.9 | 132.1 | continuous rain, damp ground |
| 20.VII.2011 | 27.2 | 1.5 | 40.8 | 372.7 | 2198.4 | 1.8 | 6.5 | 300.6 | continuous rain, damp ground |
| 1.VII.2012 | 20.8 | 1.3 | 27.0 | 273.0 | 624.9 | 0.5 | 2.4 | 220.2 | continuous rain, dry ground, |
| 4.VII.2012 | 25.2 | 1.9 | 47.9 | 423.7 | 922.6 | 0.7 | 3.0 | 341.7 | continuous rain, damp ground |
| 11.VI.2013 | 38.4 | 1.4 | 53.8 | 714.8 | 5253.8 | 4.2 | 11.0 | 576.5 | continuous rain, damp ground |
| 23.VI.2013 | 19.0 | 1.6 | 30.4 | 863.2 | 5641.1 | 4.5 | 23.9 | 696.1 | downpur, damp ground |
| 27.04.2014 | 14.5 | 1.5 | 21.8 | 84.3 | 4286.5 | 3.5 | 23.8 | 68.0 | continuous rain, wet ground |
| 15–16.05.14 | 29.3 | 0.3 | 8.8 | 201.1 | 9931.3 | 8.0 | 27.3 | 162.2 | continuous rain, damp ground |
| 16–18.05.14 | 36.6 | 0.5 | 18.3 | 247.5 | 10508.2 | 8.5 | 23.2 | 199.6 | continuous rain, wet ground |
| 29.05.2014 | 11.7 | 0.4 | 4.7 | 62.3 | 2028.1 | 1.6 | 14.0 | 50.2 | continuous rain, dump ground |
| 7.08.2014 | 18.31 | 4.82 | 88.3 | 108.9 | 909.5 | 0.7 | 4.0 | 87.8 | continuous rain, dump ground |
| 26–27.05.2015 | 34.1 | 0.4 | 13.6 | 38.7 | 1416.1 | 1.1 | 3.3 | 31.2 | continuous rain, wet ground |
| 27.07.2016 | 11.9 | 1.3 | 15.5 | 171.0 | 730.2 | 0.6 | 4.9 | 137.9 | downpur, dry ground |
| 29.07.2016 | 31.4 | 1.6 | 50.2 | 232.9 | 1574.9 | 1.3 | 4.0 | 187.8 | downpur, wet ground |
| 31.07.2016 | 7.8 | 0.8 | 6.2 | 338.9 | 1098.1 | 0.9 | 11.4 | 273.3 | downpur, wet ground |
| 9–11.08.2016 | 46.7 | 1.3 | 60.7 | 828.1 | 10320.3 | 8.3 | 17.8 | 667.8 | continuous rain, dry ground |
| 19–20.07.2017 | 64.7 | 1.6 | 103.5 | 665.5 | 6540.0 | 5.3 | 8.2 | 536.7 | continuous rain, dry ground |
| 20.07.20l7 | 18.6 | 1.4 | 26.0 | 752.1 | 2370.0 | 1.9 | 10.3 | 606.5 | downpur, wet ground |
| 19–20.08.2017 | 34.8 | 0.7 | 24.4 | 37.9 | 605.3 | 0.5 | 1.4 | 30.6 | downpur, damp ground |
| 29.10.2017 | 24.3 | 0.8 | 19.4 | 81.1 | 1272.8 | 1.0 | 4.2 | 65.4 | continuous rain, damp ground |
| 16.07.2018 | 29.5 | 0.9 | 26.6 | 110.4 | 1213.8 | 1.0 | 3.3 | 89.0 | continuous rain, damp ground |
| 19.07.2018 | 30.8 | 1.9 | 58.5 | 358.7 | 2360.5 | 1.9 | 6.2 | 289.3 | downpur, damp ground |
| 27.05.2019 | 14.4 | 1.6 | 23.0 | 112.7 | 857.8 | 0.7 | 4.8 | 90.9 | continuous rain, damp ground |
| 29.06.2020 | 12.8 | 0.6 | 7.7 | 132.1 | 711.0 | 0.6 | 4.5 | 106.5 | downpur, wet ground |
| 26–27.09.2020 | 49.0 | 0.3 | 14.7 | 14.1 | 831.1 | 0.7 | 1.4 | 11.4 | continuous rain, damp ground |
| 13.10.2020 | 18.7 | 0.3 | 5.6 | 30.4 | 907.1 | 0.7 | 3.9 | 24.5 | continuous rain, wet ground |
| 29.07.2021 | 15.1 | 0.8 | 12.1 | 209.8 | 2518.7 | 2.0 | 13.5 | 169.2 | downpur, damp ground |
| 23–24.08.2021 | 84.31 | 0.8 | 67.4 | 95.5 | 7348.7 | 5.9 | 7.0 | 77.0 | continuous rain, damp ground |
| 11.09.2022 | 16.9 | 0.1 | 1.7 | 27.6 | 1913.8 | 1.5 | 9.1 | 22.3 | continuous rain, wet ground |
Periodicity of water runoff from the Kolonia Celejów gully for the years 2003–2022
| Type of period | Unit | Nival | Steady | Pluvial | Variable | Total series | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Years (XI–X) | 2003-2006 | 2007-2009 | 2010-2018 | 2019-2022 | 2003–2022 | |||||||||
| Data type | Min | Max | Mean | Min | Max | Mean | Min | Max | Mean | Min | Max | Mean | Mean | |
| Precipitation sum year | [mm] | 426 | 584 | 536 | 563 | 593 | 582 | 541 | 711 | 605 | 342 | 728 | 504 | 572 |
| Days >10 mm | [–] | 10 | 20 | 14 | 13 | 15 | 14 | 11 | 21 | 14 | 6 | 25 | 14 | 15 |
| Precipitation max daily | [mm] | 19.0 | 64.5 | 35.6 | 25.4 | 32.5 | 28.9 | 23.6 | 61.0 | 37.3 | 17.5 | 40.8 | 26.5 | 33.5 |
| Snow max thickness* | [mm] | 320 | 440 | 355 | 140 | 260 | 210 | 110 | 460 | 228 | 30 | 260 | 178 | 241 |
| Days with snow cover* | [–] | 84 | 159 | 113 | 34 | 80 | 58 | 27 | 118 | 64 | 5 | 59 | 39 | 68 |
| Outflow total | [x103 m3] | 6.6 | 37.9 | 18.2 | 0.04 | 4.2 | 1.9 | 18.8 | 75.8 | 39.3 | 16.6 | 35.0 | 24.8 | 26.6 |
| a) cold half-year (XI–IV) | 4.1 | 35.0 | 15.8 | 0.01 | 1.0 | 0.4 | 3.4 | 33.8 | 16.5 | 4.9 | 21.4 | 14.4 | 13.5 | |
| b) warm half-year (V–X) | 1.24 | 3.0 | 2.4 | 0.03 | 3.2 | 1.5 | 7.4 | 42.0 | 22.9 | 3.9 | 20.8 | 10.4 | 13.1 | |
Annual outflow rates from the gully catchment
| Year | Precipitation total sum | Runoff | Runoff surface index | Runoff coefficient |
|---|---|---|---|---|
| [mm] | [m3] | [mm] | [%] | |
| 2003 | 426 | 37932 | 30.6 | 7.2 |
| 2004 | 555 | 6624 | 5.3 | 1.0 |
| 2005 | 554 | 10306 | 8.3 | 1.5 |
| 2006 | 580 | 17943 | 14.5 | 2.5 |
| 2007 | 563 | 1443 | 1.2 | 0.2 |
| 2008 | 593 | 43 | 0.0 | 0.0 |
| 2009 | 591 | 4330 | 3.5 | 0.6 |
| 2010 | 650 | 18816 | 15.2 | 2.3 |
| 2011 | 635 | 25774 | 20.8 | 3.3 |
| 2012 | 555 | 21252 | 17.1 | 3.1 |
| 2013 | 559 | 40232 | 32.4 | 5.8 |
| 2014 | 611 | 48475 | 39.1 | 6.4 |
| 2015 | 552 | 37152 | 30.0 | 5.4 |
| 2016 | 635 | 47585 | 38.4 | 6.0 |
| 2017 | 711 | 75822 | 61.1 | 8.6 |
| 2018 | 541 | 38866 | 31.3 | 5.8 |
| 2019 | 441 | 21004 | 16.9 | 3.8 |
| 2020 | 728 | 16612 | 13.4 | 1.8 |
| 2021 | 608 | 34951 | 28.2 | 4.6 |
| 2022 | 342 | 26711 | 21.5 | 6.3 |
| 2003–2022 | 572 | 26594 | 21.4 | 3.7 |
Monthly sums of total surface runoff (m3) in the Kolonia Celejów catchment in 2003–2022_
| Year | XI | XII | I | II | III | IV | V | VI | VII | VIII | IX | X | Cool halfyear | Warm halfyear | Annual runoff | Runoff days | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| all | > 40 m3 | ||||||||||||||||
| 2003 | 954 | 370 | 9537 | 637 | 22422 | 1040 | 700 | 653 | 564 | 307 | 293 | 455 | 34960 | 2972 | 37932 | – | – |
| 2004 | 257 | 430 | 194 | 1343 | 1030 | 830 | 926 | 689 | 722 | 107 | 45 | 51 | 4084 | 2540 | 6624 | – | – |
| 2005 | 64 | 14 | 5 | 0 | 7246 | 7 | 1705 | 38 | 774 | 450 | 3 | 0 | 7336 | 2970 | 10306 | – | – |
| 2006 | 0 | 0 | 0 | 0 | 16320 | 347 | 35 | 10 | 1 | 1230 | 0 | 0 | 16667 | 1276 | 17943 | – | – |
| 2007 | 0 | 0 | 0 | 191 | 56 | 0 | 17 | 74 | 1 | 8 | 1097 | 0 | 246 | 1197 | 1443 | 23 | 4 |
| 2008 | 0 | 0 | 5 | 0 | 0 | 0 | 38 | 0 | 0 | 0 | 0 | 0 | 5 | 38 | 43 | 5 | 0 |
| 2009 | 0 | 0 | 0 | 0 | 95 | 0 | 34 | 1742 | 693 | 655 | 86 | 1025 | 95 | 4236 | 4330 | 74 | 22 |
| 2010 | 540 | 234 | 0 | 39 | 2228 | 400 | 666 | 1390 | 2697 | 3180 | 6500 | 942 | 3442 | 15374 | 18816 | 303 | 83 |
| 2011 | 739 | 615 | 2418 | 1425 | 2326 | 805 | 1616 | 943 | 11798 | 1516 | 510 | 1064 | 8328 | 17446 | 25774 | 356 | 130 |
| 2012 | 1286 | 1602 | 2104 | 3585 | 4417 | 566 | 519 | 1040 | 4049 | 827 | 20 | 1236 | 13561 | 7691 | 21252 | 204 | 118 |
| 2013 | 1030 | 628 | 1987 | 3479 | 3572 | 5794 | 3554 | 16455 | 3649 | 84 | 0 | 0 | 16490 | 23742 | 40232 | 278 | 166 |
| 2014 | 0 | 0 | 1122 | 342 | 285 | 5457 | 28216 | 3659 | 1696 | 4106 | 1248 | 2345 | 7205 | 41270 | 48475 | 300 | 100 |
| 2015 | 541 | 2112 | 6820 | 1426 | 2947 | 2306 | 5088 | 6244 | 5048 | 1985 | 1332 | 1304 | 16152 | 21001 | 37152 | 358 | 208 |
| 2016 | 1546 | 1379 | 7954 | 3546 | 2550 | 857 | 677 | 114 | 9350 | 19612 | 0 | 0 | 17832 | 29753 | 47585 | 272 | 127 |
| 2017 | 1380 | 5291 | 4983 | 17055 | 2408 | 2640 | 1531 | 58 | 16448 | 933 | 7237 | 15859 | 33756 | 42066 | 75822 | 280 | 217 |
| 2018 | 3994 | 3750 | 3985 | 5132 | 11589 | 3041 | 1943 | 231 | 4717 | 44 | 215 | 225 | 31492 | 7375 | 38866 | 267 | 205 |
| 2019 | 94 | 2638 | 4099 | 4238 | 4063 | 1946 | 3091 | 534 | 19 | 91 | 108 | 83 | 17078 | 3926 | 21004 | 222 | 150 |
| 2020 | 458 | 0 | 179 | 2265 | 1974 | 0 | 936 | 2417 | 354 | 507 | 1742 | 5781 | 4876 | 11736 | 16612 | 206 | 116 |
| 2021 | 2205 | 394 | 0 | 4514 | 2980 | 4118 | 1128 | 899 | 4306 | 10215 | 3135 | 1059 | 14210 | 20741 | 34951 | 246 | 174 |
| 2022 | 729 | 58 | 2322 | 5647 | 2155 | 10496 | 2169 | 27 | 304 | 0 | 2255 | 550 | 21406 | 5305 | 26711 | 237 | 139 |
| 2003–2022 | 791 | 976 | 2386 | 2743 | 4533 | 2032 | 2729 | 1861 | 3360 | 2293 | 1291 | 1599 | 13461 | 13133 | 26594 | 227* | 122* |