| Literature DB >> 27026917 |
Beat Knechtle1, Pantelis T Nikolaidis2, Vincent O Onywera3, Matthias A Zingg4, Thomas Rosemann4, Christoph A Rüst4.
Abstract
In major marathon races such as the 'World Marathon Majors', female and male East African runners particularly from Ethiopia and Kenya are the fastest. However, whether this trend appears for female and male Ethiopians and Kenyans at recreational level runners (i.e. races at national level) and in shorter road races (e.g. in half-marathon races) has not been studied yet. Thus, the aim of the present study was to examine differences in the performance and the age of female and male runners from East Africa (i.e. Ethiopians and Kenyans) between half- and full marathons. Data from 508,108 athletes (125,894 female and 328,430 male half-marathoners and 10,205 female and 43,489 male marathoners) originating from 126 countries and competing between 1999 and 2014 in all road-based half-marathons and marathons held in one country (Switzerland) were analysed using Chi square (χ(2)) tests, mixed-effects regression analyses and one-way analyses of variance. In half-marathons, 48 women (0.038 %) and 63 men (0.019 %) were from Ethiopia and 80 women (0.063 %) and 134 men (0.040 %) from Kenya. In marathons, three women (0.029 %) and 15 men (0.034 %) were from Ethiopia and two women (0.019 %) and 33 men (0.075 %) from Kenya. There was no statistically significant association between the nationality of East Africans and the format of a race. In both women and men, the fastest race times in half-marathons and marathons were achieved by East African runners (p < 0.001). Ethiopian and Kenyan runners were the youngest in both sexes and formats of race (p < 0.001). In summary, women and men from Ethiopia and Kenya, despite they accounted for <0.1 % in half-marathons and marathons, achieved the fastest race times and were the youngest in both half-marathons and marathons. These findings confirmed in the case of half-marathon the trend previously observed in marathon races for a better performance and a younger age in East African runners from Ethiopia and Kenya.Entities:
Keywords: Age; Athletes; Endurance; Long-distance; Nationality; Running; Sex
Year: 2016 PMID: 27026917 PMCID: PMC4771648 DOI: 10.1186/s40064-016-1915-0
Source DB: PubMed Journal: Springerplus ISSN: 2193-1801
Number of women and men considered by nationality for half-marathons and marathons, sorted by the overall participation
| Country | Number of years | Number of women | Number of men | Overall |
|---|---|---|---|---|
| Half-marathon | ||||
| Ethiopia | 14 | 24 | 48 | 72 |
| Kenya | 14 | 80 | 134 | 214 |
| Switzerland | 15 | 108,509 | 283,353 | 391,862 |
| Germany | 15 | 5782 | 16,332 | 22,114 |
| France | 15 | 5889 | 14,511 | 20,400 |
| Italy | 15 | 984 | 2820 | 3804 |
| Austria | 15 | 897 | 2141 | 3038 |
| Great Britain | 15 | 872 | 2124 | 2996 |
| USA | 15 | 331 | 909 | 1240 |
| Liechtenstein | 15 | 304 | 675 | 979 |
| Belgium | 14 | 180 | 567 | 747 |
| Spain | 15 | 227 | 483 | 710 |
| Canada | 15 | 208 | 411 | 619 |
| Netherlands | 15 | 163 | 438 | 601 |
| Japan | 15 | 167 | 398 | 565 |
| Sweden | 14 | 111 | 246 | 357 |
| Finland | 13 | 85 | 223 | 308 |
| Poland | 14 | 100 | 199 | 299 |
| Portugal | 15 | 56 | 190 | 246 |
| Denmark | 15 | 60 | 186 | 246 |
| Luxembourg | 15 | 85 | 146 | 231 |
| Hungary | 14 | 51 | 175 | 226 |
| Czech Republic | 15 | 62 | 162 | 224 |
| Australia | 14 | 48 | 139 | 187 |
| Russia | 14 | 62 | 109 | 171 |
| Norway | 15 | 55 | 110 | 165 |
| Brazil | 10 | 40 | 86 | 126 |
| Mexico | 10 | 28 | 71 | 99 |
| Greece | 12 | 20 | 74 | 94 |
| Republic of South Africa | 11 | 32 | 44 | 76 |
| Israel | 8 | 12 | 57 | 69 |
| India | 8 | 23 | 45 | 68 |
| Ireland | 14 | 11 | 24 | 35 |
| Argentina | 8 | 13 | 22 | 35 |
| Slovenia | 8 | 7 | 20 | 27 |
| Marathon | ||||
| Ethiopia | 8 | 3 | 15 | 18 |
| Kenya | 13 | 2 | 33 | 35 |
| Switzerland | 15 | 8376 | 35,084 | 43,460 |
| Germany | 15 | 683 | 3319 | 4002 |
| France | 15 | 539 | 2428 | 2967 |
| Austria | 15 | 119 | 375 | 494 |
| Great Britain | 15 | 97 | 389 | 486 |
| Italy | 15 | 67 | 357 | 424 |
| USA | 11 | 40 | 268 | 308 |
| Japan | 15 | 48 | 119 | 167 |
| Belgium | 8 | 14 | 123 | 137 |
| Canada | 12 | 30 | 103 | 133 |
| Liechtenstein | 11 | 25 | 78 | 103 |
| Spain | 8 | 18 | 57 | 75 |
| Poland | 8 | 14 | 52 | 66 |
Running speed (km/h) with mean ± SD for the annual fastest female and male East-African and Non-African half-marathoners
| 1999 | 2000 | 2001 | 2002 | 2003 | 2004 | 2005 | 2006 | |
|---|---|---|---|---|---|---|---|---|
| Women | ||||||||
| Ethiopia | 8.60 | 14.66 ± 7.42 | 8.10 | 19.57 | 19.59 | 19.63 | 14.14 ± 5.27 | |
| Kenya | 14.79 ± 7.29 | 9.43 ± 0.35 | 14.99 ± 8.04 | 14.18 ± 4.69 | 16.52 ± 3.36 | 18.84 ± 1.89 | ||
| Austria | 7.49 ± 3.04 | 8.02 ± 3.64 | 7.84 ± 3.30 | 8.02 ± 3.06 | 7.98 ± 2.98 | 8.78 ± 3.59 | 8.44 ± 3.43 | 8.99 ± 3.54 |
| Canada | 5.07 ± 1.30 | 7.78 ± 4.39 | 7.16 ± 3.70 | 5.86 ± 2.10 | 9.13 ± 4.75 | 7.76 ± 2.72 | 7.01 ± 2.56 | |
| Czech Republic | 5.09 ± 1.34 | 4.51 | 8.13 ± 4.82 | 5.63 ± 0.79 | 8.85 ± 3.83 | 10.83 ± 2.99 | 8.11 ± 3.16 | 10.13 |
| Denmark | 10.81 ± 0.83 | 7.23 ± 4.15 | 8.84 ± 4.10 | 10.42 ± 1.16 | 9.58 ± 3.40 | 7.49 ± 2.77 | 6.87 ± 2.85 | |
| Spain | 9.87 ± 3.23 | 10.25 ± 2.32 | 10.53 ± 4.01 | 10.02 ± 3.15 | 11.01 ± 1.86 | 9.78 ± 2.81 | 10.07 ± 3.05 | 10.69 ± 2.29 |
| France | 10.21 ± 3.23 | 9.99 ± 3.02 | 9.47 ± 3.25 | 9.94 ± 3.28 | 9.72 ± 3.17 | 9.68 ± 3.40 | 9.70 ± 3.48 | 9.27 ± 3.42 |
| Great Britain | 9.81 ± 1.99 | 9.83 ± 2.84 | 9.18 ± 3.29 | 8.33 ± 3.13 | 10.38 ± 3.03 | 9.63 ± 3.20 | 10.26 ± 2.93 | 9.38 ± 3.08 |
| Germany | 8.49 ± 2.97 | 8.35 ± 3.47 | 8.46 ± 3.15 | 8.39 ± 3.22 | 8.61 ± 3.35 | 8.31 ± 3.27 | 8.48 ± 3.40 | 8.31 ± 3.17 |
| Italy | 9.76 ± 3.07 | 10.02 ± 3.26 | 10.4 ± 3.10 | 11.7 ± 2.62 | 10.01 ± 3.31 | 11.35 ± 2.92 | 10.68 ± 3.10 | 10.98 ± 3.11 |
| Japan | 6.21 ± 2.80 | 6.15 ± 2.47 | 7.35 ± 2.53 | 7.94 ± 2.95 | 6.57 ± 3.37 | 6.20 ± 2.48 | 6.52 ± 1.96 | 8.09 ± 2.77 |
| Liechtenstein | 10.21 ± 2.09 | 10.17 ± 2.32 | 11.49 ± 2.51 | 11.51 ± 2.25 | 10.96 ± 2.63 | 10.85 ± 3.55 | 11.26 ± 1.50 | 9.94 ± 2.66 |
| Luxembourg | 5.87 ± 1.58 | 7.80 ± 3.15 | 8.15 ± 4.64 | 8.19 ± 3.56 | 8.25 ± 3.33 | 6.86 ± 2.39 | 7.45 ± 1.22 | 8.61 ± 3.06 |
| Netherlands | 10.90 ± 1.25 | 11.56 ± 2.30 | 10.79 ± 1.16 | 11.47 ± 2.19 | 9.51 ± 2.63 | 10.12 ± 2.68 | 10.45 ± 4.47 | 8.97 ± 3.29 |
| Norway | 6.83 ± 3.05 | 7.12 ± 4.66 | 9.7 ± 1.93 | 4.56 | 9.59 ± 3.81 | 10.27 ± 3.84 | 8.45 ± 4.13 | |
| Portugal | 10.97 | 13.53 | 8.41 ± 3.32 | 11.08 ± 2.74 | 10.12 ± 3.31 | 10.15 ± 3.98 | 11.52 ± 3.36 | |
| Switzerland | 10.59 ± 2.97 | 10.75 ± 2.87 | 10.63 ± 2.91 | 10.63 ± 2.92 | 10.58 ± 2.90 | 10.57 ± 2.90 | 10.45 ± 2.93 | 10.51 ± 2.90 |
| USA | 12.05 ± 0.61 | 9.50 ± 2.92 | 9.39 ± 3.02 | 8.67 ± 3.46 | 7.90 ± 3.10 | 8.58 ± 3.60 | 8.34 ± 3.27 | 8.88 ± 2.62 |
| Australia | 10.96 | 9.08 ± 4.03 | 9.89 ± 3.60 | 9.85 ± 4.61 | 8.09 ± 3.28 | 8.12 ± 3.14 | ||
| Belgium | 8.22 ± 3.49 | 9.62 ± 5.59 | 7.70 ± 2.50 | 9.50 ± 1.87 | 7.88 ± 2.19 | 8.99 ± 3.28 | 7.83 ± 3.10 | |
| Hungary | 8.44 | 9.09 | 8.46 | 11.79 | 10.96 | 11.62 | 10.07 ± 3.41 | |
| Ireland | 9.44 ± 4.42 | 11.13 | 10.45 ± 0.33 | 8.60 ± 3.12 | 11.12 ± 3.02 | 10.49 ± 2.69 | 11.99 ± 1.66 | |
| Poland | 8.19 ± 5.46 | 5.17 ± 1.00 | 4.39 | 9.58 ± 3.89 | 7.41 ± 2.78 | 7.49 ± 2.98 | 7.80 ± 3.18 | |
| Russia | 11.19 | 9.73 ± 0.24 | 9.60 | 8.00 | 9.05 ± 3.13 | 7.31 ± 2.71 | 8.42 ± 2.99 | |
| Sweden | 5.04 | 7.05 ± 3.13 | 11.66 ± 1.29 | 9.58 ± 3.82 | 10.02 ± 2.09 | 9.35 ± 3.67 | 7.47 ± 2.66 | |
| Finland | 10.80 ± 0.50 | 5.07 | 8.42 ± 4.75 | 6.76 ± 3.14 | 6.14 ± 2.01 | 7.43 ± 0.33 | ||
| Greece | 5.82 | 6.39 | 10.65 | 12.02 | ||||
| South Africa | 6.76 ± 2.45 | 11.59 | 12.73 | 5.32 | 5.06 ± 0.12 | |||
| Brazil | 9.95 ± 0.67 | 12.10 ± 2.16 | 5.49 | 10.28 | 11.06 | 8.72 ± 4.37 | ||
| Mexico | 9.76 | 10.07 ± 1.18 | ||||||
| Argentina | 9.74 | 10.44 | ||||||
| India | 9.74 | 10.48 | 9.63 ± 1.48 | 10.62 ± 1.09 | ||||
| Israel | 4.37 | 4.50 | ||||||
| Slovenia | 5.06 | |||||||
| Men | ||||||||
| Ethiopia | 9.71 ± 2.04 | 19.11 | 13.41 ± 6.70 | 8.13 ± 0.79 | 12.93 ± 7.40 | 10.84 ± 5.18 | 8.39 ± 0.39 | 12.24 ± 5.34 |
| Kenya | 12.76 ± 4.68 | 14.62 ± 5.32 | 12.24 ± 5.38 | 14.7 ± 5.13 | 12.31 ± 6.99 | 10.78 ± 4.83 | 15.35 ± 5.68 | 11.47 ± 4.39 |
| Austria | 9.36 ± 3.57 | 11.77 ± 2.60 | 9.87 ± 3.42 | 8.97 ± 2.26 | 11.03 ± 1.91 | 8.98 ± 3.12 | 7.38 ± 2.43 | |
| Canada | 7.81 ± 3.15 | 6.99 ± 2.69 | 8.32 ± 3.28 | 7.78 ± 3.05 | 8.95 ± 3.65 | 7.29 ± 2.87 | 6.35 ± 2.61 | 5.91 ± 2.34 |
| Czech Republic | 8.06 ± 2.00 | 10.45 ± 3.87 | 10.3 ± 2.72 | 11.15 ± 3.54 | 8.85 ± 4.47 | 10.01 ± 2.75 | 9.63 ± 3.10 | 8.94 ± 2.96 |
| Denmark | 6.68 ± 1.70 | 7.04 ± 2.49 | 8.65 ± 2.96 | 6.91 ± 2.03 | 8.25 ± 2.94 | 8.65 ± 2.90 | 9.15 ± 3.74 | |
| Spain | 10.63 ± 3.75 | 11.23 ± 1.76 | 9.84 ± 3.25 | 8.32 ± 3.01 | 9.24 ± 2.84 | 8.88 ± 3.00 | 8.41 ± 3.41 | 9.07 ± 2.89 |
| France | 9.82 ± 3.37 | 9.43 ± 3.35 | 9.47 ± 3.33 | 9.72 ± 3.37 | 9.49 ± 3.29 | 9.39 ± 3.32 | 9.56 ± 3.35 | 9.83 ± 3.33 |
| Great Britain | 9.49 ± 2.92 | 9.32 ± 3.16 | 9.31 ± 3.16 | 9.34 ± 3.09 | 9.89 ± 2.84 | 9.06 ± 3.04 | 9.19 ± 3.16 | 9.37 ± 3.11 |
| Germany | 8.58 ± 3.26 | 8.56 ± 3.25 | 8.42 ± 3.16 | 8.58 ± 3.28 | 8.35 ± 3.23 | 8.44 ± 3.21 | 8.28 ± 3.23 | 8.60 ± 3.18 |
| Italy | 10.55 ± 3.16 | 10.55 ± 3.01 | 10.73 ± 3.05 | 10.54 ± 2.86 | 10.59 ± 3.17 | 10.64 ± 3.23 | 10.82 ± 3.00 | 10.68 ± 3.18 |
| Japan | 4.14 ± 0.31 | 6.47 ± 3.61 | 6.51 ± 3.43 | 5.55 ± 2.22 | 7.03 ± 2.61 | 7.03 ± 3.97 | 7.03 ± 3.03 | 5.93 ± 2.90 |
| Liechtenstein | 10.92 ± 2.10 | 10.09 ± 2.76 | 10.61 ± 2.48 | 10.57 ± 2.78 | 11.17 ± 1.84 | 10.76 ± 2.48 | 10.57 ± 3.07 | 10.84 ± 2.37 |
| Luxembourg | 9.41 ± 3.96 | 7.14 ± 3.04 | 6.82 ± 2.23 | 6.88 ± 2.58 | 6.85 ± 2.40 | 8.23 ± 2.93 | 8.04 ± 3.00 | 7.48 ± 3.02 |
| Netherlands | 10.39 ± 4.64 | 9.52 ± 2.15 | 10.99 ± 3.41 | 9.02 ± 3.67 | 8.85 ± 3.23 | 9.75 ± 3.09 | 9.02 ± 3.05 | 10.63 ± 4.05 |
| Norway | 12.91 | 7.29 ± 0.30 | 10.91 ± 2.32 | 9.11 ± 2.42 | 8.20 ± 3.73 | 9.20 ± 2.66 | 9.96 ± 1.05 | 9.71 ± 3.80 |
| Portugal | 12.04 ± 1.87 | 12.87 ± 0.62 | 12.37 ± 2.79 | 11.63 ± 3.25 | 9.60 ± 2.92 | 11.82 ± 1.97 | 9.39 ± 3.48 | 11.76 ± 2.08 |
| Switzerland | 10.31 ± 3.05 | 10.52 ± 2.96 | 10.50 ± 2.94 | 10.38 ± 2.96 | 10.43 ± 2.98 | 10.43 ± 2.95 | 10.41 ± 2.98 | 10.44 ± 2.99 |
| USA | 7.44 ± 3.01 | 7.83 ± 3.35 | 7.44 ± 3.07 | 7.79 ± 3.31 | 8.02 ± 2.75 | 8.25 ± 2.69 | 8.97 ± 2.72 | 8.41 ± 3.20 |
| Australia | 9.36 ± 3.57 | 11.77 ± 2.60 | 9.87 ± 3.42 | 8.97 ± 2.26 | 11.03 ± 2.91 | 8.98 ± 3.12 | 7.38 ± 2.43 | |
| Belgium | 9.57 ± 3.14 | 9.7 ± 2.92 | 9.93 ± 3.16 | 8.68 ± 3.45 | 9.00 ± 3.16 | 9.54 ± 3.40 | 9.93 ± 2.43 | 9.17 ± 3.37 |
| Hungary | 12.34 | 11.70 ± 1.26 | 8.79 ± 3.02 | 10.93 ± 3.01 | 9.21 ± 2.83 | 11.46 ± 2.42 | 11.23 ± 2.74 | |
| Ireland | 9.17 ± 5.65 | 9.84 ± 2.78 | 7.95 ± 2.65 | 7.14 ± 3.44 | 8.15 ± 3.25 | 7.55 ± 3.84 | 8.57 ± 3.16 | 8.48 ± 3.58 |
| Poland | 6.20 ± 1.79 | 5.52 ± 0.84 | 8.77 ± 2.71 | 8.69 ± 5.06 | 11.68 ± 3.38 | 9.43 ± 5.84 | 9.28 ± 2.95 | 8.93 ± 2.87 |
| Russia | 8.17 ± 4.61 | 8.53 ± 3.25 | 9.29 ± 2.78 | 7.45 ± 2.53 | 8.18 ± 2.56 | 8.61 ± 2.09 | 9.26 ± 2.81 | |
| Sweden | 8.29 ± 4.64 | 7.26 ± 4.06 | 9.08 ± 2.67 | 7.36 ± 3.64 | 7.98 ± 3.01 | 8.33 ± 3.71 | 7.95 ± 3.48 | 8.04 ± 3.23 |
| Finland | 7.66 ± 4.62 | 7.36 ± 2.81 | 7.37 ± 2.67 | 6.95 ± 2.59 | 5.22 ± 1.75 | 7.56 ± 2.68 | 8.10 ± 2.65 | 8.24 ± 3.08 |
| Greece | 5.65 | 5.60 | 6.52 ± 0.82 | 6.52 ± 3.20 | 11.17 ± 1.66 | 9.93 ± 4.58 | 8.53 ± 3.53 | 8.40 ± 4.46 |
| South Africa | 4.24 | 4.80 | 7.93 ± 3.70 | 10.72 | 7.91 ± 4.32 | |||
| Brazil | 5.21 ± 0.56 | 7.45 ± 3.02 | 8.91 ± 3.46 | 6.97 ± 3.01 | 6.70 ± 1.90 | |||
| Mexico | 10.67 | 10.56 | 6.32 | 7.00 ± 2.84 | 8.26 ± 3.64 | 6.28 ± 2.79 | 5.68 | 11.90 ± 0.42 |
| Argentina | 9.24 | 6.13 | 4.24 | 5.96 | ||||
| India | 9.57 ± 2.06 | 9.86 ± 0.45 | 7.89 | 9.92 ± 0.88 | 9.93 ± 0.78 | 9.58 ± 0.88 | ||
| Israel | 10.44 ± 3.74 | 6.05 ± 0.69 | 13.25 ± 0.04 | 7.88 ± 4.88 | 5.88 | 6.13 ± 1.58 | ||
| Slovenia | 5.75 | 6.89 | 5.58 ± 1.53 | 11.48 | 11.62 | 8.49 ± 5.25 | 8.89 ± 3.77 |
Data for Non-African runners are sorted in order of the number of finishers of each country
Results of the mixed-effects regression analyses for change in running speed in female half-marathoners across years
| Parameter | Estimate | SE | DF | T |
| 95 % CI | |
|---|---|---|---|---|---|---|---|
| Upper | Lower | ||||||
| Ethiopia | |||||||
| Constant term | 293.167388 | 371.574985 | 43.863 | 0.789 | 0.434 | −455.758951 | 1042.093726 |
| Year | −0.140332 | 0.184932 | 43.873 | −0.759 | 0.452 | −0.513068 | 0.232405 |
| Cage | −0.173148 | 0.135294 | 36.958 | −1.280 | 0.209 | −0.447291 | 0.100995 |
| Cage2 | −0.004387 | 0.006022 | 27.717 | −0.728 | 0.472 | −0.016727 | 0.007954 |
| Kenya | |||||||
| Constant term | −21.426837 | 150.844832 | 36.330 | −.0142 | 0.888 | −327.257984 | 284.404310 |
| Year | 0.017207 | 0.075087 | 36.326 | 0.229 | 0.820 | −0.135029 | 0.169443 |
| Cage | −0.144332 | 0.060829 | 27.148 | −2.373 | 0.025 | −0.269111 | −0.019552 |
| Cage2 | −0.003215 | 0.003653 | 30.133 | −0.880 | 0.386 | −0.010674 | 0.004243 |
| Austria | |||||||
| Constant term | 31.578045 | 29.443671 | 597.888 | 1.072 | 0.284 | −26.247547 | 89.403637 |
| Year | −0.011598 | 0.014658 | 597.871 | −0.791 | 0.429 | −0.040386 | 0.017190 |
| Cage | −0.028602 | 0.006916 | 600.177 | −4.136 | 0.000 | −0.042184 | −0.015021 |
| Cage2 | 0.000663 | 0.000536 | 608.882 | 1.237 | 0.217 | −0.000390 | 0.001716 |
| Canada | |||||||
| Constant term | −125.514888 | 73.115253 | 155.945 | −1.717 | 0.088 | −269.938931 | 18.909154 |
| Year | 0.066249 | 0.036396 | 155.933 | 1.820 | 0.071 | −0.005644 | 0.138143 |
| Cage | −0.020679 | 0.014519 | 170.268 | −1.424 | 0.156 | −0.049340 | 0.007982 |
| Cage2 | 7.822872E−5 | 0.001161 | 162.137 | 0.067 | 0.946 | −0.002214 | 0.002370 |
| Czech Republic | |||||||
| Constant term | −220.270108 | 155.839548 | 40.611 | −1.413 | 0.165 | −535.086061 | 94.545845 |
| Year | 0.113694 | 0.077609 | 40.610 | 1.465 | 0.151 | −0.043086 | 0.270474 |
| Cage | −0.080535 | 0.051903 | 45.473 | −1.552 | 0.128 | −0.185044 | 0.023974 |
| Cage2 | 0.003476 | 0.004529 | 46.743 | 0.768 | 0.447 | −0.005637 | 0.012589 |
| Denmark | |||||||
| Constant term | −144.099673 | 142.620810 | 55.173 | −1.010 | 0.317 | −429.897999 | 141.698652 |
| Year | 0.076052 | 0.070989 | 55.174 | 1.071 | 0.289 | −0.066203 | 0.218308 |
| Cage | −.012618 | 0.030636 | 58.407 | −0.412 | 0.682 | −0.073934 | 0.048697 |
| Cage2 | −.000446 | 0.002495 | 59.214 | −0.179 | 0.859 | −0.005439 | 0.004546 |
| Spain | |||||||
| Constant term | −5.366288 | 67.028907 | 141.702 | −0.080 | 0.936 | −137.872163 | 127.139587 |
| Year | 0.007615 | 0.033366 | 141.702 | 0.228 | 0.820 | −0.058344 | 0.073574 |
| Cage | 0.001968 | 0.014710 | 129.823 | 0.134 | 0.894 | −0.027134 | 0.031069 |
| Cage2 | −0.000865 | 0.001169 | 144.790 | −0.740 | 0.461 | −0.003175 | 0.001445 |
| France | |||||||
| Constant term | 51.171466 | 15.295732 | 4653.214 | 3.345 | 0.001 | 21.184581 | 81.158350 |
| Year | −0.020670 | 0.007613 | 4653.140 | −2.715 | 0.007 | −0.035595 | −0.005744 |
| Cage | −0.023120 | 0.003408 | 4755.183 | −6.783 | 0.000 | −0.029801 | −0.016438 |
| Cage2 | −0.000602 | 0.000252 | 4810.855 | −2.392 | 0.017 | −0.001095 | −0.000109 |
| Great Britain | |||||||
| Constant term | 28.901729 | 42.017402 | 749.113 | 0.688 | 0.492 | −53.584137 | 111.387595 |
| Year | −0.009779 | 0.020917 | 749.099 | −0.468 | 0.640 | −0.050842 | 0.031283 |
| Cage | 0.009513 | 0.009652 | 844.541 | 0.986 | 0.325 | −0.009432 | 0.028457 |
| Cage2 | −0.001723 | 0.000775 | 871.578 | −2.222 | 0.027 | −0.003245 | −0.000201 |
| Germany | |||||||
| Constant term | 15.158368 | 14.956731 | 4456.047 | 1.013 | 0.311 | −14.164251 | 44.480986 |
| Year | −0.003244 | 0.007446 | 4455.945 | −0.436 | 0.663 | −0.017841 | 0.011353 |
| Cage | −0.023479 | 0.002955 | 3893.061 | −7.946 | 0.000 | −0.029272 | −0.017686 |
| Cage2 | −0.000163 | 0.000198 | 3910.190 | −0.822 | 0.411 | −0.000551 | 0.000225 |
| Italy | |||||||
| Constant term | 55.277603 | 39.067728 | 844.859 | 1.415 | 0.157 | −21.403589 | 131.958795 |
| Year | −0.022114 | 0.019449 | 844.831 | −1.137 | 0.256 | −0.060287 | 0.016060 |
| Cage | −0.049367 | 0.010292 | 954.174 | −4.797 | 0.000 | −0.069565 | −0.029169 |
| Cage2 | −0.001914 | 0.000776 | 961.174 | −2.467 | 0.014 | −0.003436 | −0.000391 |
| Japan | |||||||
| Constant term | 70.707877 | 63.986213 | 101.377 | 1.105 | 0.272 | −56.217842 | 197.633596 |
| Year | −0.031946 | 0.031855 | 101.405 | −1.003 | 0.318 | −.0095133 | 0.031242 |
| Cage | −0.047542 | 0.017703 | 159.965 | −2.685 | 0.008 | −0.082504 | −0.012579 |
| Cage2 | 0.001527 | 0.000930 | 166.855 | 1.641 | 0.103 | −0.000310 | 0.003363 |
| Principality of Liechtenstein | |||||||
| Constant term | 10.483455 | 64.869741 | 255.178 | 0.162 | 0.872 | −117.264786 | 138.231696 |
| Year | 0.000233 | 0.032291 | 255.155 | 0.007 | 0.994 | −0.063358 | 0.063823 |
| Cage | −0.012747 | 0.013132 | 275.553 | −0.971 | 0.333 | −0.038598 | 0.013105 |
| Cage2 | −0.001544 | 0.001094 | 290.811 | −1.411 | 0.159 | −0.003697 | 0.000610 |
| Luxembourg | |||||||
| Constant term | −47.666634 | 97.322485 | 48.909 | −0.490 | 0.626 | −243.252737 | 147.919469 |
| Year | 0.027753 | 0.048451 | 48.906 | 0.573 | 0.569 | −0.069617 | 0.125123 |
| Cage | −0.023725 | 0.013396 | 31.814 | −1.771 | 0.086 | −0.051017 | 0.003567 |
| Cage2 | 0.001603 | 0.001046 | 30.499 | 1.533 | 0.136 | −0.000532 | 0.003737 |
| Netherlands | |||||||
| Constant term | 133.938661 | 125.455169 | 149.777 | 1.068 | 0.287 | −113.951882 | 381.829205 |
| Year | −0.062003 | 0.062457 | 149.769 | −0.993 | 0.322 | −0.185413 | 0.061407 |
| Cage | −0.011427 | 0.021283 | 105.363 | −0.537 | 0.592 | −0.053626 | 0.030771 |
| Cage2 | 0.000320 | 0.001177 | 84.597 | 0.272 | 0.786 | −0.002020 | 0.002660 |
| Norway | |||||||
| Constant term | −487.272616 | 173.193914 | 54.820 | −2.813 | 0.007 | −834.386566 | −140.158666 |
| Year | 0.247478 | 0.086290 | 54.821 | 2.868 | 0.006 | 0.074537 | 0.420419 |
| Cage | −0.115170 | 0.020554 | 36.162 | −5.603 | 0.000 | −0.156850 | −0.073491 |
| Cage2 | 0.002664 | 0.001240 | 33.459 | 2.150 | 0.039 | 0.000144 | 0.005185 |
| Portugal | |||||||
| Constant term | −474.101901 | 231.004145 | 55.403 | −2.052 | 0.045 | −936.968950 | −11.234851 |
| Year | 0.241610 | 0.114974 | 55.397 | 2.101 | 0.040 | 0.011234 | 0.471987 |
| Cage | −0.006509 | 0.059010 | 54.339 | −0.110 | 0.913 | −0.124800 | 0.111783 |
| Cage2 | 0.004436 | 0.005816 | 53.398 | 0.763 | 0.449 | −0.007227 | 0.016100 |
| Switzerland | |||||||
| Constant term | 17.415465 | 3.082751 | 85,158.813 | 5.649 | 0.000 | 11.373300 | 23.457631 |
| Year | −0.003429 | 0.001535 | 85,155.422 | −2.235 | 0.025 | −0.006437 | −0.000422 |
| Cage | −0.010236 | 0.000499 | 71,948.591 | −20.518 | 0.000 | −0.011214 | −0.009259 |
| Cage2 | −0.000417 | 3.413093E−5 | 70,505.318 | −12.217 | 0.000 | −0.000484 | −0.000350 |
| United States of America | |||||||
| Constant term | −102.180938 | 71.308524 | 295.142 | −1.433 | 0.153 | −242.518553 | 38.156677 |
| Year | 0.055053 | 0.035488 | 295.135 | 1.551 | 0.122 | −0.014789 | 0.124895 |
| Cage | −0.011404 | 0.012867 | 301.169 | −0.886 | 0.376 | −0.036725 | 0.013917 |
| Cage2 | 0.001037 | 0.000928 | 305.711 | 1.118 | 0.265 | −0.000789 | 0.002863 |
| Australia | |||||||
| Constant term | 535.990276 | 98.301322 | 13.686 | 5.453 | 0.000 | 324.700562 | 747.279990 |
| Year | −0.262740 | 0.048925 | 13.688 | −5.370 | 0.000 | −0.367899 | −0.157580 |
| Cage | 0.063641 | 0.055873 | 47.462 | 1.139 | 0.260 | −0.048733 | 0.176014 |
| Cage2 | −0.002360 | 0.002842 | 46.702 | −0.830 | 0.411 | −0.008078 | 0.003358 |
| Belgium | |||||||
| Constant term | 7.038611 | 107.628613 | 165.205 | 0.065 | 0.948 | −205.466290 | 219.543511 |
| Year | 0.000697 | 0.053552 | 165.225 | 0.013 | 0.990 | −0.105038 | 0.106433 |
| Cage | 0.000626 | 0.015637 | 117.693 | 0.040 | 0.968 | −0.030341 | 0.031593 |
| Cage2 | 0.000700 | 0.001032 | 108.364 | 0.678 | 0.499 | −0.001345 | 0.002745 |
| Hungary | |||||||
| Constant term | −275.257629 | 154.694094 | 51.000 | −1.779 | 0.081 | −585.818982 | 35.303724 |
| Year | 0.142544 | 0.076947 | 51.000 | 1.853 | 0.070 | −0.011933 | 0.297021 |
| Cage | −0.083478 | 0.047940 | 51.000 | −1.741 | 0.088 | −0.179721 | 0.012765 |
| Cage2 | 0.000717 | 0.002086 | 51.000 | 0.344 | 0.732 | −0.003470 | 0.004904 |
| Ireland | |||||||
| Constant term | −33.859940 | 165.743508 | 57.989 | −0.204 | 0.839 | −365.633001 | 297.913121 |
| Year | 0.021718 | 0.082524 | 57.993 | 0.263 | 0.793 | −0.143473 | 0.186909 |
| Cage | −0.036636 | 0.037101 | 37.244 | −0.987 | 0.330 | −0.111793 | 0.038521 |
| Cage2 | −0.000562 | 0.003459 | 32.491 | −0.162 | 0.872 | −0.007603 | 0.006480 |
| Poland | |||||||
| Constant term | −72.726997 | 104.051935 | 60.961 | −0.699 | 0.487 | −280.794379 | 135.340384 |
| Year | 0.040347 | 0.051798 | 60.974 | 0.779 | 0.439 | −0.063230 | 0.143924 |
| Cage | −0.053476 | 0.023476 | 65.801 | −2.278 | 0.026 | −0.100351 | −0.006601 |
| Cage2 | −0.001860 | 0.001865 | 69.955 | −0.997 | 0.322 | −0.005579 | 0.001859 |
| Russia | |||||||
| Constant term | −106.441127 | 155.565229 | 42.567 | −0.684 | 0.498 | −420.260572 | 207.378318 |
| Year | 0.057206 | 0.077443 | 42.538 | 0.739 | 0.464 | −0.099022 | 0.213434 |
| Cage | −0.072584 | 0.042398 | 55.257 | −1.712 | 0.093 | −0.157542 | 0.012374 |
| Cage2 | 0.004846 | 0.003169 | 47.538 | 1.529 | 0.133 | −0.001528 | 0.011219 |
| Sweden | |||||||
| Constant term | 75.820147 | 143.966277 | 104.839 | 0.527 | 0.600 | −209.643494 | 361.283787 |
| Year | −0.033856 | 0.071641 | 104.838 | −0.473 | 0.637 | −0.175909 | 0.108197 |
| Cage | −0.016537 | 0.020415 | 67.482 | −0.810 | 0.421 | −0.057279 | 0.024206 |
| Cage2 | 0.001067 | 0.001713 | 108.162 | 0.623 | 0.535 | −0.002328 | 0.004462 |
| Finland | |||||||
| Constant term | −46.926724 | 100.378904 | 55.066 | −0.467 | 0.642 | −248.085146 | 154.231697 |
| Year | 0.027006 | 0.049943 | 55.068 | 0.541 | 0.591 | −0.073079 | 0.127091 |
| Cage | −0.053711 | 0.015750 | 46.121 | −3.410 | 0.001 | −0.085411 | −0.022011 |
| Cage2 | 0.001208 | 0.001076 | 44.445 | 1.123 | 0.268 | −0.000960 | 0.003376 |
| Greece | |||||||
| Constant term | −105.607974 | 339.956176 | 18.425 | −0.311 | 0.760 | −818.651669 | 607.435721 |
| Year | 0.056703 | 0.169175 | 18.428 | 0.335 | 0.741 | −0.298130 | 0.411535 |
| Cage | 0.011301 | 0.080214 | 18.335 | 0.141 | 0.889 | −0.157002 | 0.179604 |
| Cage2 | 0.005226 | 0.004315 | 20.000 | 1.211 | 0.240 | −0.003776 | 0.014227 |
| Republic of South Africa | |||||||
| Constant term | 195.281269 | 261.100120 | 30.776 | 0.748 | 0.460 | −337.393318 | 727.955856 |
| Year | −0.093079 | 0.130031 | 30.771 | −0.716 | 0.479 | −0.358359 | 0.172201 |
| Cage | −0.033597 | 0.065427 | 31.996 | −0.514 | 0.611 | −0.166869 | 0.099674 |
| Cage2 | 0.000214 | 0.003268 | 27.237 | 0.066 | 0.948 | −0.006488 | 0.006916 |
| Brazil | |||||||
| Constant term | 178.944876 | 212.772674 | 32.077 | 0.841 | 0.407 | −254.418110 | 612.307863 |
| Year | −0.084760 | 0.105910 | 32.083 | −0.800 | 0.429 | −0.300469 | 0.130949 |
| Cage | −0.054561 | 0.036085 | 32.952 | −1.512 | 0.140 | −0.127981 | 0.018860 |
| Cage2 | 0.003708 | 0.002066 | 37.833 | 1.795 | 0.081 | −0.000475 | 0.007891 |
| Mexico | |||||||
| Constant term | −208.359308 | 343.548300 | 13.049 | −0.606 | 0.555 | −950.268215 | 533.549600 |
| Year | 0.108288 | 0.170848 | 13.048 | 0.634 | 0.537 | −0.260670 | 0.477246 |
| Cage | 0.017053 | 0.033477 | 1.149 | 0.509 | 0.691 | −0.297964 | 0.332070 |
| Cage2 | −0.004284 | 0.002132 | 1.006 | −2.009 | 0.293 | −0.031003 | 0.022435 |
| Argentina | |||||||
| Constant term | 171.161142 | 449.529264 | 12.527 | 0.381 | 0.710 | −803.726404 | 1146.048688 |
| Year | −0.080710 | 0.223646 | 12.527 | −0.361 | 0.724 | −0.565727 | 0.404306 |
| Cage | −0.121342 | 0.107487 | 7.809 | −1.129 | 0.292 | −0.370266 | 0.127582 |
| Cage2 | 0.004002 | 0.011220 | 5.403 | 0.357 | 0.735 | −0.024206 | 0.032210 |
| India | |||||||
| Constant term | −180.991329 | 118.481416 | 23.000 | −1.528 | 0.140 | −426.088812 | 64.106153 |
| Year | 0.095159 | 0.058967 | 23.000 | 1.614 | 0.120 | −0.026822 | 0.217141 |
| Cage | 0.034212 | 0.026224 | 23.000 | 1.305 | 0.205 | −0.020037 | 0.088460 |
| Cage2 | 0.002970 | 0.002305 | 23.000 | 1.288 | 0.210 | −0.001798 | 0.007737 |
| Israel | |||||||
| Constant term | 1791.341424 | 749.677965 | 4.526 | 2.389 | 0.068 | −198.063460 | 3780.746308 |
| Year | −0.884457 | 0.372205 | 4.522 | −2.376 | 0.069 | −1.872464 | 0.103550 |
| Cage | −0.130351 | 0.107475 | 8.468 | −1.213 | 0.258 | −0.375823 | 0.115121 |
| Cage2 | −0.026869 | 0.011891 | 11.589 | −2.260 | 0.044 | −0.052880 | −0.000858 |
| Slovenia | |||||||
| Constant term | −31.714993 | 134.226844 | 13.547 | −0.236 | 0.817 | −320.508524 | 257.078539 |
| Year | 0.020363 | 0.066884 | 13.547 | 0.304 | 0.765 | −0.123540 | 0.164266 |
| Cage | −0.084123 | 0.046744 | 8.409 | −1.800 | 0.108 | −0.191009 | 0.022763 |
| Cage2 | −0.001050 | 0.002818 | 9.076 | −0.373 | 0.718 | −0.007416 | 0.005317 |
Data for Non-African runners are sorted in order of the number of finishers of each country
Cage centered age, Cage 2 centered age squared
Results of the mixed-effects regression analyses for change in running speed in male half-marathoners across years
| Parameter | Estimate | SE | DF | T |
| 95 % CI | |
|---|---|---|---|---|---|---|---|
| Upper | Lower | ||||||
| Ethiopia | |||||||
| Constant term | 98.099117 | 174.871376 | 30.494 | 0.561 | 0.579 | −258.793601 | 454.991835 |
| Year | −0.043552 | 0.087058 | 30.500 | −0.500 | 0.620 | −0.221226 | 0.134123 |
| Cage | −0.250494 | 0.185335 | 45.246 | −1.352 | 0.183 | −0.623723 | 0.122734 |
| Cage2 | −0.012719 | 0.007260 | 42.721 | −1.752 | 0.087 | −0.027363 | 0.001925 |
| Kenya | |||||||
| Constant term | 88.307393 | 103.114750 | 61.076 | 0.856 | 0.395 | −117.878135 | 294.492921 |
| Year | −0.037470 | 0.051349 | 61.091 | −0.730 | 0.468 | −0.140145 | 0.065205 |
| Cage | −0.066120 | 0.029956 | 133.511 | −2.207 | 0.029 | −0.125371 | −0.006870 |
| Cage2 | −0.002035 | 0.001386 | 133.757 | −1.469 | 0.144 | −0.004776 | 0.000706 |
| Austria | |||||||
| Constant term | 8.193904 | 15.718906 | 1374.455 | 0.521 | 0.602 | −22.641739 | 39.029547 |
| Year | 0.000216 | 0.007826 | 1374.306 | 0.028 | 0.978 | −0.015136 | 0.015568 |
| Cage | −0.016008 | 0.004315 | 1443.906 | −3.710 | 0.000 | −0.024471 | −0.007544 |
| Cage2 | −0.000501 | 0.000294 | 1458.820 | −1.702 | 0.089 | −0.001078 | 7.633939E−5 |
| Canada | |||||||
| Constant term | −21.298964 | 52.088221 | 337.247 | −0.409 | 0.683 | −123.757696 | 81.159769 |
| Year | 0.014351 | 0.025943 | 337.200 | 0.553 | 0.580 | −0.036679 | 0.065382 |
| Cage | −0.024635 | 0.011096 | 359.294 | −2.220 | 0.027 | −0.046457 | −0.002814 |
| Cage2 | 0.000544 | 0.000695 | 362.647 | 0.783 | 0.434 | −0.000822 | 0.001910 |
| Czech Republic | |||||||
| Constant term | 154.008680 | 81.928758 | 100.744 | 1.880 | 0.063 | −8.520953 | 316.538313 |
| Year | −0.072109 | 0.040820 | 100.777 | −1.767 | 0.080 | −0.153086 | 0.008869 |
| Cage | −0.003265 | 0.013101 | 75.567 | −0.249 | 0.804 | −0.029361 | 0.022830 |
| Cage2 | −0.002162 | 0.000996 | 78.010 | −2.171 | 0.033 | −0.004144 | −0.000179 |
| Denmark | |||||||
| Constant term | 73.075047 | 85.575129 | 152.801 | 0.854 | 0.394 | −95.988101 | 242.138195 |
| Year | −0.032295 | 0.042595 | 152.782 | −0.758 | 0.450 | −0.116447 | 0.051857 |
| Cage | 0.004069 | 0.013983 | 120.832 | 0.291 | 0.772 | −0.023615 | 0.031752 |
| Cage2 | −0.002067 | 0.000851 | 124.782 | −2.429 | 0.017 | −0.003752 | −0.000383 |
| Spain | |||||||
| Constant term | 73.070026 | 58.997907 | 419.804 | 1.239 | 0.216 | −42.898085 | 189.038138 |
| Year | −0.031824 | 0.029368 | 419.811 | −1.084 | 0.279 | −0.089550 | 0.025902 |
| Cage | −0.015581 | 0.013136 | 435.510 | −1.186 | 0.236 | −0.041399 | 0.010238 |
| Cage2 | 0.001634 | 0.000911 | 471.708 | 1.793 | 0.074 | −0.000156 | 0.003425 |
| France | |||||||
| Constant term | 2.152551 | 8.424878 | 11,440.730 | 0.255 | 0.798 | −14.361653 | 18.666754 |
| Year | 0.003734 | 0.004195 | 11,440.223 | 0.890 | 0.373 | −0.004488 | 0.011956 |
| Cage | −0.024520 | 0.002065 | 11,842.861 | −11.874 | 0.000 | −0.028568 | −0.020472 |
| Cage2 | −0.000555 | 0.000144 | 11,634.921 | −3.864 | 0.000 | −0.000837 | −0.000274 |
| Great Britain | |||||||
| Constant term | 37.386616 | 22.952563 | 1729.593 | 1.629 | 0.104 | −7.631084 | 82.404316 |
| Year | −0.014237 | 0.011430 | 1729.576 | −1.246 | 0.213 | −0.036654 | 0.008181 |
| Cage | −0.007171 | 0.005013 | 1775.835 | −1.430 | 0.153 | −0.017003 | 0.002662 |
| Cage2 | −0.000507 | 0.000363 | 1811.205 | −1.399 | 0.162 | −0.001218 | 0.000204 |
| Germany | |||||||
| Constant term | 26.340398 | 7.339500 | 12,201.868 | 3.589 | 0.000 | 11.953816 | 40.726980 |
| Year | −0.008802 | 0.003654 | 12,201.252 | −2.409 | 0.016 | −0.015965 | −0.001639 |
| Cage | −0.015672 | 0.001614 | 11,817.685 | −9.708 | 0.000 | −0.018836 | −0.012508 |
| Cage2 | −0.000337 | 0.000106 | 11,885.807 | −3.164 | 0.002 | −0.000545 | −0.000128 |
| Italy | |||||||
| Constant term | 32.563297 | 20.328196 | 2372.545 | 1.602 | 0.109 | −7.299571 | 72.426164 |
| Year | −0.010999 | 0.010122 | 2372.366 | −1.087 | 0.277 | −0.030847 | 0.008850 |
| Cage | −0.045951 | 0.005681 | 2514.295 | −8.089 | 0.000 | −0.057090 | −0.034812 |
| Cage2 | −0.000765 | 0.000380 | 2470.087 | −2.015 | 0.044 | −0.001510 | −2.039314E−5 |
| Japan | |||||||
| Constant term | 14.867692 | 48.121533 | 316.697 | 0.309 | 0.758 | −79.810599 | 109.545984 |
| Year | −.003770 | 0.023954 | 316.650 | −.157 | 0.875 | −.050900 | 0.043360 |
| Cage | −.058721 | 0.010081 | 397.745 | −5.825 | 0.000 | −.078540 | −.038902 |
| Cage2 | 4.080624E−5 | 0.000449 | 341.270 | 0.091 | 0.928 | −.000843 | 0.000924 |
| Fürstentum Liechtenstein | |||||||
| Constant term | 36.488409 | 42.462409 | 604.502 | 0.859 | 0.391 | −46.903349 | 119.880168 |
| Year | −0.012766 | 0.021142 | 604.548 | −0.604 | 0.546 | −0.054287 | 0.028756 |
| Cage | −0.001820 | 0.009507 | 565.166 | −0.191 | 0.848 | −0.020492 | 0.016853 |
| Cage2 | −0.001896 | 0.000777 | 592.741 | −2.438 | 0.015 | −0.003422 | −0.000369 |
| Luxembourg | |||||||
| Constant term | −15.253456 | 80.615224 | 92.293 | −0.189 | 0.850 | −175.355473 | 144.848561 |
| Year | 0.011431 | 0.040137 | 92.287 | 0.285 | 0.776 | −0.068280 | 0.091143 |
| Cage | −0.065466 | 0.021046 | 112.887 | −3.111 | 0.002 | −0.107162 | −0.023770 |
| Cage2 | 0.002067 | 0.001460 | 76.329 | 1.415 | 0.161 | −0.000842 | 0.004975 |
| Netherlands | |||||||
| Constant term | 43.412228 | 54.590318 | 317.931 | 0.795 | 0.427 | −63.991689 | 150.816144 |
| Year | −0.016855 | 0.027175 | 317.960 | −0.620 | 0.536 | −0.070321 | 0.036612 |
| Cage | −0.029740 | 0.011819 | 303.713 | −2.516 | 0.012 | −0.052998 | −0.006482 |
| Cage2 | −0.001104 | 0.000799 | 294.009 | −1.382 | 0.168 | −0.002675 | 0.000468 |
| Norway | |||||||
| Constant term | −108.473099 | 87.956547 | 66.260 | −1.233 | 0.222 | −284.071127 | 67.124929 |
| Year | 0.058583 | 0.043794 | 66.285 | 1.338 | 0.186 | −0.028848 | 0.146014 |
| Cage | 0.003335 | 0.021397 | 98.282 | 0.156 | 0.876 | −0.039125 | 0.045796 |
| Cage2 | −0.001692 | 0.001159 | 78.629 | −1.460 | 0.148 | −0.004000 | 0.000615 |
| Portugal | |||||||
| Constant term | 67.632099 | 92.672293 | 171.225 | 0.730 | 0.467 | −115.295174 | 250.559373 |
| Year | −0.028137 | 0.046162 | 171.263 | −0.610 | 0.543 | −0.119256 | 0.062982 |
| Cage | 0.009515 | 0.023055 | 186.876 | 0.413 | 0.680 | −0.035968 | 0.054997 |
| Cage2 | −0.001022 | 0.001966 | 185.843 | −0.520 | 0.604 | −0.004900 | 0.002855 |
| Switzerland | |||||||
| Constant term | 8.817285 | 1.667403 | 223,427.050 | 5.288 | 0.000 | 5.549219 | 12.085351 |
| Year | 0.000791 | 0.000830 | 223,414.735 | 0.953 | 0.340 | −0.000836 | 0.002418 |
| Cage | −0.010964 | 0.000294 | 204,230.290 | −37.270 | 0.000 | −0.011540 | −0.010387 |
| Cage2 | −0.000368 | 2.032780E−5 | 202,092.789 | −18.089 | 0.000 | −0.000408 | −0.000328 |
| United States of America | |||||||
| Constant term | 54.392263 | 32.424867 | 708.442 | 1.677 | 0.094 | −9.268067 | 118.052594 |
| Year | −0.023017 | 0.016143 | 708.387 | −1.426 | 0.154 | −0.054711 | 0.008677 |
| Cage | −0.009382 | 0.006245 | 705.174 | −1.502 | 0.133 | −0.021643 | 0.002878 |
| Cage2 | −0.000283 | 0.000441 | 689.741 | −0.641 | 0.521 | −0.001149 | 0.000583 |
| Australia | |||||||
| Constant term | 52.302602 | 107.606779 | 108.032 | 0.486 | 0.628 | −160.991990 | 265.597194 |
| Year | −0.021678 | 0.053582 | 108.089 | −0.405 | 0.687 | −0.127885 | 0.084529 |
| Cage | −0.013969 | 0.030696 | 133.451 | −0.455 | 0.650 | −0.074683 | 0.046745 |
| Cage2 | −0.000317 | 0.002070 | 136.856 | −0.153 | 0.878 | −0.004411 | 0.003776 |
| Belgium | |||||||
| Constant term | 107.524420 | 49.224327 | 501.956 | 2.184 | 0.029 | 10.813323 | 204.235517 |
| Year | −0.049210 | 0.024501 | 501.911 | −2.008 | 0.045 | −0.097348 | −0.001073 |
| Cage | −0.033350 | 0.009176 | 447.125 | −3.635 | 0.000 | −0.051383 | −0.015317 |
| Cage2 | −7.340408E−5 | 0.000666 | 417.563 | −0.110 | 0.912 | −0.001382 | 0.001235 |
| Hungary | |||||||
| Constant term | 5.737883 | 94.942100 | 159.346 | 0.060 | 0.952 | −181.769287 | 193.245052 |
| Year | 0.002193 | 0.047257 | 159.320 | 0.046 | 0.963 | −0.091137 | 0.095523 |
| Cage | −0.021118 | 0.020068 | 158.936 | −1.052 | 0.294 | −0.060752 | 0.018515 |
| Cage2 | 0.001436 | 0.001087 | 174.946 | 1.320 | 0.188 | −0.000710 | 0.003582 |
| Ireland | |||||||
| Constant term | 138.624168 | 77.025730 | 130.753 | 1.800 | 0.074 | −13.753783 | 291.002120 |
| Year | −0.064935 | 0.038349 | 130.724 | −1.693 | 0.093 | −0.140799 | 0.010930 |
| Cage | 0.012905 | 0.020461 | 147.172 | 0.631 | 0.529 | −0.027530 | 0.053340 |
| Cage2 | 0.001772 | 0.001597 | 146.087 | 1.110 | 0.269 | −0.001384 | 0.004928 |
| Poland | |||||||
| Constant term | 86.086931 | 104.182157 | 192.160 | 0.826 | 0.410 | −119.400506 | 291.574369 |
| Year | −0.038832 | 0.051868 | 192.148 | −0.749 | 0.455 | −0.141137 | 0.063472 |
| Cage | −0.092905 | 0.018121 | 167.220 | −5.127 | 0.000 | −0.128680 | −0.057130 |
| Cage2 | 0.001517 | 0.001224 | 171.169 | 1.239 | 0.217 | −0.000899 | 0.003933 |
| Russia | |||||||
| Constant term | 211.097501 | 112.913539 | 96.255 | 1.870 | 0.065 | −13.026515 | 435.221517 |
| Year | −0.100778 | 0.056233 | 96.273 | −1.792 | 0.076 | −0.212397 | 0.010840 |
| Cage | −0.066677 | 0.024282 | 81.019 | −2.746 | 0.007 | −0.114991 | −0.018364 |
| Cage2 | −0.004585 | 0.001957 | 62.648 | −2.343 | 0.022 | −0.008497 | −0.000674 |
| Sweden | |||||||
| Constant term | 23.098100 | 70.780786 | 194.032 | 0.326 | 0.745 | −116.500399 | 162.696600 |
| Year | −0.007622 | 0.035234 | 193.992 | −0.216 | 0.829 | −0.077113 | 0.061870 |
| Cage | −0.041879 | 0.012513 | 177.901 | −3.347 | 0.001 | −0.066573 | −0.017186 |
| Cage2 | −0.000214 | 0.000893 | 193.338 | −0.239 | 0.811 | −0.001976 | 0.001548 |
| Finland | |||||||
| Constant term | 8.266275 | 52.736089 | 163.256 | 0.157 | 0.876 | −95.866485 | 112.399036 |
| Year | −0.000566 | 0.026249 | 163.232 | −0.022 | 0.983 | −0.052397 | 0.051266 |
| Cage | −0.041553 | 0.011615 | 170.064 | −3.578 | 0.000 | −0.064481 | −0.018625 |
| Cage2 | 0.000222 | 0.000718 | 147.558 | 0.309 | 0.758 | −0.001197 | 0.001640 |
| Greece | |||||||
| Constant term | −61.629272 | 138.778354 | 63.917 | −0.444 | 0.658 | −338.877861 | 215.619317 |
| Year | 0.034774 | 0.069126 | 63.920 | 0.503 | 0.617 | −0.103324 | 0.172871 |
| Cage | −0.045672 | 0.029991 | 67.495 | −1.523 | 0.132 | −0.105525 | 0.014181 |
| Cage2 | 0.001362 | 0.002210 | 66.813 | 0.616 | 0.540 | −0.003050 | 0.005774 |
| Republic of South Africa | |||||||
| Constant term | 97.835143 | 206.579371 | 37.822 | 0.474 | 0.639 | −320.427710 | 516.097997 |
| Year | −0.045155 | 0.102815 | 37.832 | −0.439 | 0.663 | −0.253323 | 0.163012 |
| Cage | −0.114764 | 0.045331 | 42.716 | −2.532 | 0.015 | −0.206201 | −0.023327 |
| Cage2 | 0.002014 | 0.003936 | 43.893 | 0.512 | 0.611 | −0.005919 | 0.009947 |
| Brazil | |||||||
| Constant term | 69.573202 | 122.101031 | 76.685 | 0.570 | 0.570 | −173.576935 | 312.723340 |
| Year | −0.030992 | 0.060774 | 76.687 | −0.510 | 0.612 | −0.152015 | 0.090032 |
| Cage | −0.005665 | 0.035651 | 84.804 | −0.159 | 0.874 | −0.076551 | 0.065221 |
| Cage2 | 0.000800 | 0.002584 | 85.927 | 0.310 | 0.758 | −0.004337 | 0.005937 |
| Mexico | |||||||
| Constant term | 41.878671 | 159.784287 | 57.808 | 0.262 | 0.794 | −277.986904 | 361.744245 |
| Year | −0.016374 | 0.079565 | 57.848 | −0.206 | 0.838 | −0.175650 | 0.142902 |
| Cage | 0.004652 | 0.037631 | 61.634 | 0.124 | 0.902 | −0.070580 | 0.079884 |
| Cage2 | 0.000324 | 0.002948 | 56.403 | 0.110 | 0.913 | −0.005580 | 0.006229 |
| Argentina | |||||||
| Constant term | −280.869673 | 275.764919 | 14.061 | −1.019 | 0.326 | −872.087719 | 310.348372 |
| Year | 0.143819 | 0.137206 | 14.060 | 1.048 | 0.312 | −0.150341 | 0.437979 |
| Cage | −0.105665 | 0.095288 | 20.398 | −1.109 | 0.280 | −0.304184 | 0.092855 |
| Cage2 | −0.008941 | 0.013370 | 20.476 | −0.669 | 0.511 | −0.036788 | 0.018907 |
| India | |||||||
| Constant term | 184.538334 | 187.481998 | 40.972 | 0.984 | 0.331 | −194.097033 | 563.173702 |
| Year | −0.087437 | 0.093418 | 40.964 | −0.936 | 0.355 | −0.276104 | 0.101229 |
| Cage | −0.043125 | 0.036785 | 44.595 | −1.172 | 0.247 | −0.117232 | 0.030982 |
| Cage2 | −0.000763 | 0.003355 | 41.543 | −0.228 | 0.821 | −0.007536 | 0.006009 |
| Israel | |||||||
| Constant term | 23.126668 | 168.388173 | 45.039 | 0.137 | 0.891 | −316.016346 | 362.269682 |
| Year | −0.006935 | 0.083826 | 45.030 | −0.083 | 0.934 | −0.175766 | 0.161896 |
| Cage | −0.016089 | 0.022043 | 28.717 | −0.730 | 0.471 | −0.061192 | 0.029014 |
| Cage2 | −0.000399 | 0.001451 | 29.170 | −0.275 | 0.785 | −0.003365 | 0.002567 |
| Slovenia | |||||||
| Constant term | 449.153792 | 328.346727 | 19.574 | 1.368 | 0.187 | −236.722979 | 1135.030562 |
| Year | −0.219405 | 0.163419 | 19.579 | −1.343 | 0.195 | −0.560762 | 0.121952 |
| Cage | −0.078618 | 0.063055 | 11.412 | −1.247 | 0.237 | −0.216792 | 0.059557 |
| Cage2 | 0.003187 | 0.005660 | 11.316 | 0.563 | 0.584 | −0.009229 | 0.015603 |
Data for Non-African runners are sorted in order of the number of finishers of each country
Cage centered age, Cage 2 centered age squared
Running speed (km/h) with mean ± SD for female and male East-African and Non-African marathoners
| 1999 | 2000 | 2001 | 2002 | 2003 | 2004 | 2005 | 2006 | |
|---|---|---|---|---|---|---|---|---|
| Women | ||||||||
| Ethiopia | 18.64 | |||||||
| Kenya | 18.26 | |||||||
| Austria | 16.42 ± 1.62 | 18.32 ± 1.81 | 12.34 | 13.83 ± 5.78 | 12.36 ± 2.18 | 9.80 ± 0.21 | 12.65 ± 3.26 | 12.39 ± 2.43 |
| France | 13.70 ± 4.13 | 13.77 ± 4.01 | 13.83 ± 4.05 | 13.72 ± 3.88 | 12.42 ± 3.98 | 13.38 ± 3.97 | 13.82 ± 4.43 | 13.27 ± 4.05 |
| Great Britain | 10.50 ± 1.45 | 12.73 ± 4.45 | 13.14 ± 5.02 | 12.96 ± 3.95 | 13.46 ± 4.35 | 14.47 ± 4.58 | 12.72 ± 2.65 | |
| Germany | 11.68 ± 2.24 | 11.17 ± 2.63 | 13.90 ± 3.79 | 12.20 ± 3.77 | 12.63 ± 3.78 | 12.11 ± 3.34 | 13.04 ± 3.68 | 13.00 ± 3.60 |
| Italy | 17.10 | 19.19 ± 0.52 | 19.64 ± 1.30 | 12.67 ± 5.70 | 11.93 ± 3.77 | 15.39 ± 4.39 | 12.06 ± 4.28 | 18.78 ± 1.77 |
| Japan | 14.13 | 10.96 | 11.72 ± 5.02 | 7.88 ± 1.11 | 18.28 | 13.34 ± 4.69 | 14.27 ± 5.01 | 18.70 |
| Switzerland | 14.46 ± 4.34 | 15.30 ± 4.19 | 14.74 ± 4.13 | 15.03 ± 4.06 | 15.60 ± 4.01 | 15.44 ± 4.09 | 15.08 ± 4.14 | 15.20 ± 4.12 |
| Canada | 9.31 | 10.29 ± 5.82 | 8.00 ± 1.63 | 12.51 | 12.85 ± 7.29 | |||
| Liechtenstein | 11.65 | 9.92 ± 2.39 | 16.05 ± 5.43 | 18.13 ± 1.01 | 19.75 ± 0.15 | |||
| USA | 17.95 | 17.17 ± 4.07 | 13.92 ± 4.10 | 9.85 ± 1.43 | ||||
| Belgium | 10.77 | 19.87 ± 0.49 | 10.95 ± 0.37 | 11.65 ± 1.62 | 10.90 ± 0.79 | |||
| Spain | 12.48 | |||||||
| Poland | 11.24 ± 0.64 | 8.85 | ||||||
| Men | ||||||||
| Ethiopia | 17.47 ± 2.28 | |||||||
| Kenya | 18.81 | 17.95 ± 1.44 | 17.61 ± 1.97 | 17.43 ± 1.62 | 17.28 | |||
| Austria | 12.66 ± 0.09 | 9.10 | 19.37 | 16.18 | 14.40 ± 7.02 | 15.59 ± 5.27 | ||
| France | 14.08 ± 4.06 | 13.47 ± 3.67 | 13.17 ± 3.75 | 13.17 ± 3.30 | 13.28 ± 3.79 | 13.41 ± 3.84 | 13.50 ± 3.89 | 12.87 ± 3.48 |
| Great Britain | 9.27 ± 0.96 | 12.54 ± 3.61 | 12.01 ± 3.57 | 15.21 ± 2.94 | 15.02 ± 4.05 | 14.08 ± 3.79 | 14.15 ± 4.51 | 13.26 ± 3.82 |
| Germany | 12.51 ± 3.32 | 13.02 ± 3.78 | 12.67 ± 3.28 | 12.60 ± 3.48 | 12.89 ± 3.70 | 13.00 ± 3.66 | 12.49 ± 3.55 | 12.89 ± 3.65 |
| Italy | 16.23 ± 4.37 | 12.51 ± 3.77 | 12.85 ± 2.99 | 12.49 ± 4.01 | 12.50 ± 3.24 | 14.23 ± 4.04 | 13.66 ± 3.90 | 15.14 ± 3.86 |
| Japan | 15.09 | 14.42 | 12.84 ± 5.70 | 11.47 | 11.45 ± 3.85 | 11.09 ± 4.17 | 12.92 ± 4.63 | 11.53 ± 3.41 |
| Switzerland | 14.41 ± 3.99 | 14.84 ± 4.09 | 14.73 ± 4.07 | 14.77 ± 4.09 | 14.93 ± 4.11 | 14.71 ± 4.08 | 14.76 ± 4.04 | 14.83 ± 4.06 |
| Canada | 14.00 ± 0.72 | 18.98 | 12.22 ± 4.96 | 12.37 ± 4.83 | 10.50 ± 3.91 | 10.90 ± 3.36 | 11.12 ± 4.09 | 13.14 ± 4.06 |
| Liechtenstein | 18.70 | 17.56 ± 1.45 | 19.11 ± 1.21 | 15.41 ± 4.16 | 17.42 ± 3.08 | 17.80 ± 1.43 | ||
| USA | 12.39 ± 3.85 | 10.79 ± 1.55 | 11.25 ± 3.38 | 13.62 ± 3.72 | 12.12 ± 3.55 | 12.65 ± 4.21 | 12.14 ± 3.48 | 12.86 ± 4.29 |
| Belgium | 12.23 | 14.97 ± 5.32 | 14.80 ± 4.67 | 13.65 ± 4.98 | 12.71 ± 4.02 | 12.70 ± 3.91 | ||
| Spain | 13.08 | 19.33 | 18.87 ± 1.06 | 13.90 ± 5.05 | 12.63 ± 2.21 | 13.37 ± 4.71 | 14.10 ± 2.28 | |
| Poland | 10.07 | 11.65 ± 1.73 | 9.05 | 10.36 ± 2.31 | 9.73 | 17.70 ± 2.29 |
Data for Non-African runners are sorted in order of the number of finishers of each country
Results of the mixed-effects regression analyses for change in running speed across years in female marathoners
| Parameter | Estimate | SE | DF | T |
| 95 % CI | |
|---|---|---|---|---|---|---|---|
| Upper | Lower | ||||||
| Ethiopia | |||||||
| Constant term | 147.793813 | 321.794557 | 36.803 | 0.459 | 0.649 | −504.341821 | 799.929446 |
| Year | −0.067200 | 0.160260 | 36.789 | −0.419 | 0.677 | −0.391981 | 0.257581 |
| Cage | −0.041199 | 0.045279 | 39.863 | −0.910 | 0.368 | −0.132721 | 0.050323 |
| Cage2 | −0.000791 | 0.001556 | 27.290 | −0.508 | 0.615 | −0.003983 | 0.002401 |
| Kenya | |||||||
| Constant term | 12.643951 | 134.413655 | 31.473 | 0.094 | 0.926 | −261.327748 | 286.615651 |
| Year | 0.001310 | 0.067007 | 31.470 | 0.020 | 0.985 | −0.135269 | 0.137890 |
| Cage | 0.004584 | 0.031623 | 33.197 | 0.145 | 0.886 | −0.059740 | 0.068908 |
| Cage2 | 0.000926 | 0.001504 | 28.885 | 0.616 | 0.543 | −0.002150 | 0.004002 |
| Austria | |||||||
| Constant term | 319.000059 | 151.126310 | 115.787 | 2.111 | 0.037 | 19.669554 | 618.330564 |
| Year | −0.152749 | 0.075258 | 115.782 | −2.030 | 0.045 | −0.301810 | −0.003688 |
| Cage | −0.059867 | 0.033352 | 105.113 | −1.795 | 0.076 | −0.125998 | 0.006264 |
| Cage2 | 0.003428 | 0.002369 | 91.358 | 1.447 | 0.151 | −0.001277 | 0.008132 |
| France | |||||||
| Constant term | −69.668517 | 73.011026 | 423.181 | −0.954 | 0.341 | −213.177937 | 73.840903 |
| Year | 0.041647 | 0.036362 | 423.171 | 1.145 | 0.253 | −0.029825 | 0.113119 |
| Cage | −0.007736 | 0.019534 | 524.950 | −0.396 | 0.692 | −0.046111 | 0.030640 |
| Cage2 | −0.000529 | 0.001375 | 513.572 | −0.385 | 0.701 | −0.003230 | 0.002172 |
| Great Britain | |||||||
| Constant term | −32.852390 | 202.043235 | 96.505 | −.163 | 0.871 | −433.878261 | 368.173481 |
| Year | 0.023039 | 0.100666 | 96.499 | 0.229 | 0.819 | −0.176769 | 0.222846 |
| Cage | 0.057327 | 0.032752 | 62.676 | 1.750 | 0.085 | −0.008129 | 0.122782 |
| Cage2 | 0.001266 | 0.003499 | 87.271 | 0.362 | 0.718 | −0.005689 | 0.008220 |
| Germany | |||||||
| Constant term | −57.013601 | 61.704926 | 558.626 | −0.924 | 0.356 | −178.215628 | 64.188427 |
| Year | 0.035049 | 0.030733 | 558.613 | 1.140 | 0.255 | −0.025317 | 0.095415 |
| Cage | −0.018041 | 0.010289 | 360.049 | −1.754 | 0.080 | −0.038274 | 0.002192 |
| Cage2 | −0.000917 | 0.000669 | 425.048 | −1.370 | 0.172 | −0.002232 | 0.000399 |
| Italy | |||||||
| Constant term | 12.643951 | 134.413655 | 31.473 | 0.094 | 0.926 | −261.327748 | 286.615651 |
| Year | 0.001310 | 0.067007 | 31.470 | 0.020 | 0.985 | −0.135269 | 0.137890 |
| Cage | 0.004584 | 0.031623 | 33.197 | 0.145 | 0.886 | −0.059740 | 0.068908 |
| Cage2 | 0.000926 | 0.001504 | 28.885 | 0.616 | 0.543 | −0.002150 | 0.004002 |
| Japan | |||||||
| Constant term | −556.744907 | 324.548340 | 44.540 | −1.715 | 0.093 | −1210.605221 | 97.115408 |
| Year | 0.284663 | 0.161722 | 44.521 | 1.760 | 0.085 | −0.041159 | 0.610486 |
| Cage | 0.002091 | 0.056456 | 36.733 | 0.037 | 0.971 | −0.112328 | 0.116511 |
| Cage2 | −0.001140 | 0.002306 | 47.736 | −.494 | 0.623 | −0.005776 | 0.003496 |
| Switzerland | |||||||
| Constant term | 19.166945 | 16.359822 | 5730.128 | 1.172 | 0.241 | −12.904491 | 51.238380 |
| Year | −0.001923 | 0.008148 | 5729.834 | −0.236 | 0.813 | −0.017896 | 0.014051 |
| Cage | 0.000169 | 0.002164 | 3789.103 | 0.078 | 0.938 | −0.004074 | 0.004412 |
| Cage2 | −0.000271 | 0.000151 | 3903.532 | −1.798 | 0.072 | −0.000566 | 2.449756E−5 |
| Canada | |||||||
| Constant term | −84.838438 | 294.677013 | 21.509 | −0.288 | 0.776 | −696.771246 | 527.094370 |
| Year | 0.049412 | 0.146619 | 21.493 | 0.337 | 0.739 | −0.255073 | 0.353897 |
| Cage | −0.016467 | 0.105620 | 20.899 | −0.156 | 0.878 | −0.236180 | 0.203247 |
| Cage2 | −0.005069 | 0.008542 | 26.178 | −0.593 | 0.558 | −0.022621 | 0.012484 |
| Principality of Liechtenstein | |||||||
| Constant term | 134.396574 | 114.930718 | 8.628 | 1.169 | 0.274 | −127.312878 | 396.106027 |
| Year | −0.058934 | 0.057365 | 8.641 | −1.027 | 0.332 | −0.189530 | 0.071661 |
| Cage | 0.000824 | 0.052738 | 11.742 | 0.016 | 0.988 | −0.114363 | 0.116012 |
| Cage2 | −0.000182 | 0.005460 | 13.149 | −0.033 | 0.974 | −0.011963 | 0.011599 |
| United States of America | |||||||
| Constant term | 147.793813 | 321.794557 | 36.803 | 0.459 | 0.649 | −504.341821 | 799.929446 |
| Year | −0.067200 | 0.160260 | 36.789 | −0.419 | 0.677 | −0.391981 | 0.257581 |
| Cage | −0.041199 | 0.045279 | 39.863 | −0.910 | 0.368 | −0.132721 | 0.050323 |
| Cage2 | −0.000791 | 0.001556 | 27.290 | −0.508 | 0.615 | −0.003983 | 0.002401 |
| Belgium | |||||||
| Constant term | 832.877872 | 481.304102 | 14.000 | 1.730 | 0.106 | −199.416758 | 1865.172502 |
| Year | −0.409025 | 0.239884 | 14.000 | −1.705 | 0.110 | −0.923525 | 0.105475 |
| Cage | 0.113307 | 0.073728 | 14.000 | 1.537 | 0.147 | −0.044823 | 0.271437 |
| Cage2 | −0.008065 | 0.005950 | 14.000 | −1.356 | 0.197 | −0.020826 | 0.004695 |
| Spain | |||||||
| Constant term | 578.599477 | 459.378710 | 18.000 | 1.260 | 0.224 | −386.519821 | 1543.718775 |
| Year | −0.280844 | 0.228570 | 18.000 | −1.229 | 0.235 | −0.761053 | 0.199365 |
| Cage | 0.085302 | 0.054009 | 9.306 | 1.579 | 0.148 | −0.036264 | 0.206868 |
| Cage2 | −0.006105 | 0.004734 | 8.582 | −1.290 | 0.231 | −0.016894 | 0.004684 |
| Poland | |||||||
| Constant term | −1007.316625 | 429.834844 | 14.000 | −2.343 | 0.034 | −1929.220678 | −85.412573 |
| Year | 0.507475 | 0.213730 | 14.000 | 2.374 | 0.032 | 0.049069 | 0.965881 |
| Cage | −0.022253 | 0.077353 | 14.000 | −0.288 | 0.778 | −0.188158 | 0.143652 |
| Cage2 | 0.001802 | 0.005561 | 14.000 | 0.324 | 0.751 | −0.010126 | 0.013730 |
Data for Non-African runners are sorted in order of the number of finishers of each country
Cage centered age, Cage 2 centered age squared
Results of the mixed-effects regression analyses for change in running speed across years in male marathoners
| Parameter | Estimate | SE | DF | T |
| 95 % CI | |
|---|---|---|---|---|---|---|---|
| Upper | Lower | ||||||
| Austria | |||||||
| Constant term | 119.014606 | 78.665485 | 352.571 | 1.513 | 0.131 | −35.698004 | 273.727215 |
| Year | −0.053124 | 0.039182 | 352.518 | −1.356 | 0.176 | −0.130183 | 0.023936 |
| Cage | −0.053906 | 0.018537 | 374.501 | −2.908 | 0.004 | −0.090356 | −0.017456 |
| Cage2 | 0.002858 | 0.001180 | 374.482 | 2.423 | 0.016 | 0.000538 | 0.005179 |
| France | |||||||
| Constant term | 12.224516 | 32.400764 | 1943.299 | 0.377 | 0.706 | −51.319391 | 75.768423 |
| Year | 0.000774 | 0.016138 | 1943.341 | 0.048 | 0.962 | −0.030876 | 0.032424 |
| Cage | −0.042530 | 0.007858 | 2185.277 | −5.412 | 0.000 | −0.057940 | −0.027119 |
| Cage2 | 0.001220 | 0.000546 | 2369.390 | 2.235 | 0.025 | 0.000150 | 0.002290 |
| Great Britain | |||||||
| Constant term | 168.008185 | 77.417245 | 265.471 | 2.170 | 0.031 | 15.578253 | 320.438116 |
| Year | −0.076916 | 0.038558 | 265.527 | −1.995 | 0.047 | −0.152834 | −0.000997 |
| Cage | −0.003050 | 0.013447 | 228.557 | −0.227 | 0.821 | −0.029546 | 0.023446 |
| Cage2 | 0.000290 | 0.001143 | 251.114 | 0.254 | 0.800 | −0.001961 | 0.002541 |
| Germany | |||||||
| Constant term | −26.616836 | 25.282326 | 2510.280 | −1.053 | 0.293 | −76.193187 | 22.959515 |
| Year | 0.019883 | 0.012593 | 2510.229 | 1.579 | 0.114 | −0.004811 | 0.044578 |
| Cage | −0.007977 | 0.005083 | 2186.239 | −1.570 | 0.117 | −0.017944 | 0.001990 |
| Cage2 | 0.000147 | 0.000344 | 2231.865 | 0.427 | 0.669 | −0.000528 | 0.000822 |
| Italy | |||||||
| Constant term | 82.322203 | 91.156734 | 288.896 | 0.903 | 0.367 | −97.093338 | 261.737745 |
| Year | −0.033932 | 0.045393 | 288.917 | −0.748 | 0.455 | −0.123275 | 0.055411 |
| Cage | −0.058144 | 0.019311 | 261.042 | −3.011 | 0.003 | −0.096169 | −0.020119 |
| Cage2 | 0.000191 | 0.001214 | 322.202 | 0.157 | 0.875 | −0.002199 | 0.002580 |
| Japan | |||||||
| Constant term | 49.803604 | 170.811818 | 103.019 | 0.292 | 0.771 | −288.960603 | 388.567811 |
| Year | −0.018372 | 0.085088 | 103.003 | −0.216 | 0.829 | −0.187123 | 0.150380 |
| Cage | −0.086555 | 0.031059 | 107.375 | −2.787 | 0.006 | −0.148123 | −0.024987 |
| Cage2 | 0.001926 | 0.001684 | 107.206 | 1.144 | 0.255 | −0.001412 | 0.005264 |
| Switzerland | |||||||
| Constant term | 25.878076 | 7.195438 | 22,373.993 | 3.596 | 0.000 | 11.774513 | 39.981639 |
| Year | −0.005404 | 0.003584 | 22,373.571 | −1.508 | 0.132 | −0.012428 | 0.001620 |
| Cage | −0.002664 | 0.001012 | 17,294.094 | −2.633 | 0.008 | −0.004647 | −0.000681 |
| Cage2 | −0.000235 | 6.583543E−5 | 17,295.657 | −3.565 | 0.000 | −0.000364 | −0.000106 |
| Canada | |||||||
| Constant term | −106.659105 | 171.420255 | 81.342 | −0.622 | 0.536 | −447.709874 | 234.391663 |
| Year | 0.059022 | 0.085420 | 81.336 | 0.691 | 0.492 | −0.110927 | 0.228971 |
| Cage | −0.050496 | 0.030360 | 68.401 | −1.663 | 0.101 | −0.111073 | 0.010080 |
| Cage2 | 0.006306 | 0.001988 | 62.037 | 3.172 | 0.002 | 0.002332 | 0.010280 |
| Principality of Liechtenstein | |||||||
| Constant term | 236.267620 | 241.570336 | 77.992 | 0.978 | 0.331 | −244.662729 | 717.197969 |
| Year | −0.109511 | 0.120377 | 77.993 | −0.910 | 0.366 | −0.349164 | 0.130142 |
| Cage | 0.034908 | 0.042003 | 73.075 | 0.831 | 0.409 | −0.048802 | 0.118618 |
| Cage2 | 0.001951 | 0.003222 | 72.523 | 0.606 | 0.547 | −0.004471 | 0.008373 |
| United States of America | |||||||
| Constant term | 179.260596 | 91.774367 | 188.890 | 1.953 | 0.052 | −1.773750 | 360.294941 |
| Year | −0.082585 | 0.045712 | 188.881 | −1.807 | 0.072 | −0.172757 | 0.007587 |
| Cage | 0.003829 | 0.014234 | 167.444 | 0.269 | 0.788 | −0.024273 | 0.031931 |
| Cage2 | 0.000319 | 0.000945 | 149.574 | 0.338 | 0.736 | −0.001548 | 0.002186 |
| Belgium | |||||||
| Constant term | 220.791210 | 167.798520 | 108.714 | 1.316 | 0.191 | −111.789810 | 553.372230 |
| Year | −0.102767 | 0.083486 | 108.675 | −1.231 | 0.221 | −0.268238 | 0.062704 |
| Cage | −0.029095 | 0.030424 | 119.603 | −0.956 | 0.341 | −0.089335 | 0.031145 |
| Cage2 | 0.000194 | 0.002163 | 96.384 | 0.090 | 0.929 | −0.004099 | 0.004486 |
| Spain | |||||||
| Constant term | −130.890461 | 169.416654 | 5.528 | −0.773 | 0.471 | −554.170969 | 292.390047 |
| Year | 0.072247 | 0.084311 | 5.528 | 0.857 | 0.427 | −0.138405 | 0.282899 |
| Cage | −0.050933 | 0.030883 | 5.028 | −1.649 | 0.160 | −0.130185 | 0.028319 |
| Cage2 | 0.001306 | 0.004902 | 56.210 | 0.266 | 0.791 | −0.008513 | 0.011125 |
| Poland | |||||||
| Constant term | −173.031933 | 285.748419 | 50.731 | −0.606 | 0.548 | −746.769620 | 400.705753 |
| Year | 0.092292 | 0.142290 | 50.736 | 0.649 | 0.520 | −0.193403 | 0.377986 |
| Cage | −0.019397 | 0.026881 | 30.284 | −0.722 | 0.476 | −0.074273 | 0.035480 |
| Cage2 | −0.000780 | 0.001881 | 35.444 | −0.414 | 0.681 | −0.004597 | 0.003038 |
| Kenya | |||||||
| Constant term | 31.727578 | 85.570347 | 33.000 | 0.371 | 0.713 | −142.366603 | 205.821759 |
| Year | −0.007558 | 0.042603 | 33.000 | −0.177 | 0.860 | −0.094234 | 0.079119 |
| Cage | −0.192695 | 0.042007 | 33.000 | −4.587 | 0.000 | −0.278159 | −0.107230 |
| Cage2 | −0.005855 | 0.002387 | 33.000 | −2.453 | 0.020 | −0.010712 | −0.000999 |
| Ethiopia | |||||||
| Constant term | 185.271970 | 155.298262 | 15.000 | 1.193 | 0.251 | −145.738439 | 516.282379 |
| Year | −0.085404 | 0.077000 | 15.000 | −1.109 | 0.285 | −0.249526 | 0.078718 |
| Cage | −0.708418 | 0.358618 | 15.000 | −1.975 | 0.067 | −1.472793 | 0.055957 |
| Cage2 | −0.034788 | 0.014889 | 15.000 | −2.337 | 0.034 | −0.066522 | −0.003053 |
Data for Non-African runners are sorted in order of the number of finishers of each country
Cage centered age, Cage 2 centered age squared
Age (years) with mean ± SD of female and male East-African and Non-African half-marathoners
| 1999 | 2000 | 2001 | 2002 | 2003 | 2004 | 2005 | 2006 | |
|---|---|---|---|---|---|---|---|---|
| Women | ||||||||
| Ethiopia | 20 | 26 ± 1 | 30 | 36 | 37 | 35 | 26 ± 10 | |
| Kenya | 29 ± 9 | 35 ± 6 | 37 ± 1 | 29 ± 6 | 28 ± 7 | 28 ± 5 | ||
| Austria | 40 | 50 ± 8 | 44 ± 3 | 37 ± 8 | 38 ± 7 | 44 ± 1 | ||
| Canada | 49 ± 4 | 44 ± 10 | 40 ± 9 | 44 ± 9 | 53 ± 7 | 41 ± 13 | 35 ± 6 | |
| Czech Republic | 37 ± 14 | 49 | 31 ± 5 | 33 ± 18 | 34 ± 7 | 34 ± 5 | 35 ± 5 | 27 |
| Denmark | 36 ± 0 | 34 ± 4 | 36 ± 5 | 33 ± 9 | 42 ± 12 | 48 ± 9 | 46 ± 7 | |
| Spain | 43 ± 22 | 40 ± 16 | 36 ± 5 | 37 ± 7 | 38 ± 8 | 37 ± 9 | 43 ± 9 | 37 ± 9 |
| France | 42 ± 10 | 43 ± 10 | 41 ± 9 | 41 ± 9 | 42 ± 9 | 42 ± 10 | 42 ± 10 | 42 ± 10 |
| Great Britain | 37 ± 7 | 39 ± 10 | 41 ± 12 | 39 ± 9 | 39 ± 8 | 36 ± 8 | 38 ± 9 | 39 ± 10 |
| Germany | 43 ± 10 | 43 ± 9 | 45 ± 10 | 43 ± 9 | 44 ± 9 | 44 ± 9 | 43 ± 9 | 43 ± 10 |
| Italy | 41 ± 9 | 48 ± 9 | 46 ± 11 | 41 ± 9 | 42 ± 11 | 42 ± 9 | 42 ± 10 | 39 ± 9 |
| Japan | 36 ± 13 | 57 ± 22 | 61 ± 7 | 50 ± 15 | 50 ± 12 | 54 ± 12 | 49 ± 15 | 48 ± 18 |
| Liechtenstein | 44 ± 4 | 46 ± 10 | 41 ± 6 | 45 ± 8 | 40 ± 8 | 39 ± 9 | 40 ± 8 | 44 ± 10 |
| Luxembourg | 47 ± 21 | 42 ± 11 | 35 ± 7 | 40 ± 7 | 44 ± 12 | 42 ± 14 | 37 ± 8 | 45 ± 7 |
| Netherlands | 44 ± 6 | 47 ± 1 | 43 ± 13 | 40 ± 7 | 43 ± 11 | 45 ± 11 | 40 ± 11 | 43 ± 10 |
| Norway | 60 ± 1 | 55 ± 16 | 39 ± 16 | 56 | 41 ± 13 | 45 ± 15 | 50 ± 13 | |
| Portugal | 54 | 41 | 44 ± 14 | 46 ± 9 | 36 ± 9 | 38 ± 10 | 36 ± 8 | |
| Switzerland | 41 ± 10 | 41 ± 10 | 41 ± 10 | 41 ± 10 | 41 ± 10 | 41 ± 10 | 41 ± 10 | 41 ± 10 |
| USA | 26 ± 3 | 35 ± 9 | 36 ± 10 | 44 ± 19 | 34 ± 12 | 36 ± 10 | 42 ± 12 | 41 ± 13 |
| Australia | 40 | 50 ± 8 | 44 ± 3 | 37 ± 8 | 38 ± 7 | 44 ± 1 | ||
| Belgium | 53 ± 21 | 47 ± 21 | 38 ± 16 | 44 ± 10 | 37 ± 10 | 38 ± 11 | 44 ± 7 | |
| Hungary | 68 | 65 | 72 | 43 | 41 | 33 | 46 ± 7 | |
| Ireland | 37 ± 7 | 44 | 38 ± 1 | 43 ± 2 | 42 ± 11 | 36 ± 6 | 41 ± 5 | |
| Poland | 44 ± 12 | 43 ± 7 | 30 | 36 ± 11 | 39 ± 10 | 45 ± 11 | 34 ± 5 | |
| Russia | 52 | 29 ± 5 | 28 | 30 | 42 ± 11 | 38 ± 12 | 32 ± 5 | |
| Sweden | 27 | 42 ± 12 | 48 ± 11 | 34 ± 7 | 38 ± 6 | 43 ± 16 | 44 ± 13 | |
| Finland | 33 ± 1 | 44 | 44 ± 18 | 40 ± 10 | 44 ± 12 | 40 ± 4 | ||
| Greece | 39 | 48 | 32 | 33 | ||||
| South Africa | 47 ± 11 | 35 | 52 | 36 | 44 ± 1 | |||
| Brazil | 45 ± 16 | 50 ± 4 | 40 | 41 | 46 | 50 ± 4 | ||
| Mexico | 37 | 38 ± 6 | ||||||
| Argentina | 38 | 32 | ||||||
| India | 29 | 47 | 36 ± 7 | 43 ± 11 | ||||
| Israel | 64 | 59 | ||||||
| Slovenia | 47 | |||||||
| Men | ||||||||
| Ethiopia | 30 ± 6 | 27 | 30 ± 3 | 27 ± 4 | 23 ± 1 | 24 ± 2 | 25 ± 6 | 28 ± 3 |
| Kenya | 26 ± 1 | 26 ± 5 | 30 ± 3 | 29 ± 5 | 32 ± 2 | 37 ± 20 | 32 ± 18 | 27 ± 5 |
| Austria | 43 ± 5 | 38 ± 5 | 38 ± 13 | 40 ± 11 | 42 ± 12 | 35 ± 7 | 41 ± 6 | |
| Canada | 40 ± 10 | 39 ± 12 | 40 ± 16 | 36 ± 11 | 39 ± 12 | 40 ± 10 | 42 ± 14 | 37 ± 10 |
| Czech Republic | 37 ± 6 | 37 ± 13 | 31 ± 10 | 33 ± 6 | 40 ± 13 | 38 ± 8 | 35 ± 9 | 37 ± 11 |
| Denmark | 47 ± 8 | 47 ± 14 | 41 ± 12 | 33 ± 9 | 47 ± 14 | 40 ± 9 | 43 ± 14 | |
| Spain | 35 ± 11 | 42 ± 8 | 34 ± 7 | 42 ± 10 | 42 ± 11 | 43 ± 10 | 43 ± 11 | 42 ± 10 |
| France | 41 ± 10 | 42 ± 10 | 41 ± 9 | 42 ± 10 | 42 ± 10 | 41 ± 10 | 42 ± 10 | 41 ± 9 |
| Great Britain | 40 ± 10 | 40 ± 10 | 41 ± 11 | 39 ± 10 | 41 ± 11 | 39 ± 10 | 41 ± 10 | 43 ± 11 |
| Germany | 44 ± 10 | 44 ± 10 | 43 ± 10 | 43 ± 10 | 43 ± 10 | 43 ± 10 | 43 ± 10 | 43 ± 10 |
| Italy | 44 ± 11 | 42 ± 8 | 43 ± 10 | 42 ± 10 | 43 ± 9 | 41 ± 9 | 42 ± 8 | 41 ± 9 |
| Japan | 66 ± 5 | 51 ± 16 | 48 ± 13 | 54 ± 11 | 47 ± 19 | 46 ± 15 | 55 ± 14 | 44 ± 17 |
| Liechtenstein | 38 ± 7 | 40 ± 8 | 44 ± 9 | 41 ± 11 | 40 ± 9 | 41 ± 9 | 41 ± 11 | 41 ± 10 |
| Luxembourg | 43 ± 14 | 37 ± 3 | 37 ± 6 | 43 ± 11 | 43 ± 10 | 43 ± 9 | 42 ± 9 | 42 ± 11 |
| Netherlands | 50 ± 10 | 41 ± 16 | 35 ± 9 | 39 ± 11 | 36 ± 8 | 38 ± 12 | 38 ± 7 | 39 ± 10 |
| Norway | 33 | 28 ± 6 | 43 ± 14 | 40 ± 13 | 39 ± 8 | 32 ± 9 | 34 ± 7 | 44 ± 19 |
| Portugal | 45 ± 8 | 46 ± 8 | 41 ± 9 | 38 ± 9 | 39 ± 11 | 37 ± 8 | 38 ± 6 | 39 ± 10 |
| Switzerland | 41 ± 10 | 41 ± 10 | 41 ± 10 | 41 ± 10 | 41 ± 10 | 41 ± 10 | 41 ± 10 | 41 ± 10 |
| USA | 41 ± 12 | 43 ± 12 | 39 ± 11 | 41 ± 11 | 41 ± 13 | 41 ± 10 | 40 ± 9 | 40 ± 12 |
| Australia | 43 ± 5 | 38 ± 5 | 38 ± 13 | 40 ± 11 | 42 ± 12 | 35 ± 7 | 41 ± 6 | |
| Belgium | 43 ± 16 | 44 ± 11 | 43 ± 9 | 42 ± 10 | 40 ± 11 | 36 ± 10 | 42 ± 13 | 42 ± 11 |
| Hungary | 41 | 46 ± 16 | 39 ± 10 | 48 ± 15 | 47 ± 14 | 42 ± 16 | 43 ± 13 | |
| Ireland | 34 ± 10 | 38 ± 6 | 42 ± 9 | 42 ± 7 | 40 ± 11 | 37 ± 5 | 35 ± 4 | 37 ± 6 |
| Poland | 40 ± 12 | 38 ± 8 | 40 ± 7 | 37 ± 9 | 32 ± 16 | 37 ± 17 | 38 ± 13 | 39 ± 11 |
| Russia | 38 ± 9 | 34 ± 11 | 33 ± 8 | 40 ± 15 | 41 ± 7 | 40 ± 12 | 34 ± 6 | |
| Sweden | 47 ± 13 | 45 ± 19 | 40 ± 8 | 43 ± 10 | 46 ± 14 | 40 ± 13 | 42 ± 11 | 43 ± 12 |
| Finland | 61 ± 8 | 41 ± 10 | 47 ± 13 | 40 ± 10 | 44 ± 16 | 43 ± 13 | 43 ± 11 | 42 ± 13 |
| Greece | 37 | 31 | 43 ± 4 | 31 ± 9 | 34 ± 7 | 37 ± 6 | 44 ± 13 | 33 ± 4 |
| South Africa | 40 | 52 | 39 ± 6 | 38 | 41 ± 17 | |||
| Brazil | 46 ± 18 | 53 ± 13 | 44 ± 14 | 42 ± 11 | 47 ± 6 | |||
| Mexico | 46 | 40 | 52 | 38 ± 13 | 40 ± 8 | 47 ± 13 | 46 | 30 ± 10 |
| Argentina | 39 | 30 | 51 | 39 | ||||
| India | 40 ± 9 | 48 ± 2 | 34 | 42 ± 7 | 38 ± 9 | 36 ± 8 | ||
| Israel | 46 ± 6 | 50 ± 4 | 36 ± 2 | 31 ± 4 | 39 | 43 ± 26 | ||
| Slovenia | 62 | 35 | 48 ± 6 | 39 | 44 | 39 ± 3 | 37 ± 2 |
Data for Non-African runners are sorted in order of the number of finishers of each country
Results of the mixed-effects regression analyses for change in age across years in half-marathoners
| Parameter | Estimate | SE | DF | T |
|
|---|---|---|---|---|---|
| Ethiopia | |||||
| Constant term | −182.511370 | 314.486675 | 91.467 | −0.580 | 0.563 |
| Female sex | 1.680182 | 1.432541 | 72.982 | 1.173 | 0.245 |
| Calendar year | 0.104919 | 0.156633 | 91.480 | 0.670 | 0.505 |
| Kenya | |||||
| Constant term | 8.235275 | 288.742638 | 208.395 | 0.029 | 0.977 |
| Female sex | −0.121674 | 1.317439 | 68.640 | −0.092 | 0.927 |
| Calendar year | 0.010794 | 0.143794 | 208.376 | 0.075 | 0.940 |
| Austria | |||||
| Constant term | 194.074686 | 73.655324 | 2996.146 | 2.635 | 0.008 |
| Female sex | −1.709831 | 0.481769 | 1362.215 | −3.549 | <0.0001 |
| Calendar year | −0.075364 | 0.036673 | 2996.074 | −2.055 | 0.040 |
| Canada | |||||
| Constant term | 160.945071 | 202.099830 | 612.252 | 0.796 | 0.426 |
| Female sex | −1.870259 | 1.338345 | 281.258 | −1.397 | 0.163 |
| Calendar year | −0.059563 | 0.100658 | 612.236 | −0.592 | 0.554 |
| Czech Republic | |||||
| Constant term | −103.672165 | 314.871371 | 203.897 | −0.329 | 0.742 |
| Female sex | −1.866522 | 1.674310 | 123.397 | −1.115 | 0.267 |
| Calendar year | 0.070316 | 0.156835 | 203.856 | 0.448 | 0.654 |
| Denmark | |||||
| Constant term | 635.928991 | 345.802767 | 242.013 | 1.839 | 0.067 |
| Female sex | −1.207578 | 1.995708 | 124.433 | −0.605 | 0.546 |
| Calendar year | −0.295499 | 0.172164 | 242.020 | −1.716 | 0.087 |
| Spain | |||||
| Constant term | 4.345138 | 173.122867 | 707.441 | 0.025 | 0.980 |
| Female sex | −0.414857 | 0.961543 | 416.419 | −0.431 | 0.666 |
| Calendar year | 0.018514 | 0.086181 | 707.444 | 0.215 | 0.830 |
| France | |||||
| Constant term | 40.876029 | 30.739542 | 20,221.009 | 1.330 | 0.184 |
| Female sex | −0.363674 | 0.201893 | 9121.960 | −1.801 | 0.072 |
| Calendar year | 0.000558 | 0.015305 | 20,220.731 | 0.036 | 0.971 |
| Great Britain | |||||
| Constant term | 62.808682 | 86.098036 | 2964.716 | 0.730 | 0.466 |
| Female sex | −1.582820 | 0.555386 | 1329.593 | −2.850 | 0.004 |
| Calendar year | −0.010529 | 0.042874 | 2964.669 | −0.246 | 0.806 |
| Germany | |||||
| Constant term | 47.516840 | 32.418394 | 21,887.424 | 1.466 | 0.143 |
| Female sex | 0.269587 | 0.192793 | 9869.455 | 1.398 | 0.162 |
| Calendar year | −0.002199 | 0.016141 | 21,888.087 | −0.136 | 0.892 |
| Italy | |||||
| Constant term | 99.335607 | 63.935535 | 3599.246 | 1.554 | 0.120 |
| Female sex | −0.964511 | 0.478133 | 1789.232 | −2.017 | 0.044 |
| Calendar year | −0.027856 | 0.031834 | 3599.102 | −0.875 | 0.382 |
| Japan | |||||
| Constant term | 774.526324 | 242.816752 | 456.029 | 3.190 | 0.002 |
| Female sex | −0.297851 | 1.873820 | 298.110 | −0.159 | 0.874 |
| Calendar year | −0.361601 | 0.120894 | 456.006 | −2.991 | 0.003 |
| Liechtenstein | |||||
| Constant term | 86.887276 | 148.175736 | 975.830 | 0.586 | 0.558 |
| Female sex | −0.191866 | 0.758997 | 586.133 | −0.253 | 0.801 |
| Calendar year | −0.022614 | 0.073778 | 975.840 | −0.307 | 0.759 |
| Luxembourg | |||||
| Constant term | −164.038413 | 297.385871 | 212.919 | −0.552 | 0.582 |
| Female sex | −0.327141 | 1.355426 | 151.704 | −0.241 | 0.810 |
| Calendar year | 0.102236 | 0.148098 | 212.984 | 0.690 | 0.491 |
| Netherlands | |||||
| Constant term | −523.086955 | 207.948527 | 597.809 | −2.515 | 0.012 |
| Female sex | 0.885014 | 1.109896 | 324.076 | 0.797 | 0.426 |
| Calendar year | 0.281968 | 0.103524 | 597.796 | 2.724 | 0.007 |
| Norway | |||||
| Constant term | −912.882656 | 459.239160 | 164.453 | −1.988 | 0.048 |
| Female sex | 6.870747 | 2.584284 | 91.195 | 2.659 | 0.009 |
| Calendar year | 0.475098 | 0.228639 | 164.454 | 2.078 | 0.039 |
| Portugal | |||||
| Constant term | −51.331697 | 261.757709 | 235.116 | −0.196 | 0.845 |
| Female sex | 1.523814 | 1.797020 | 119.389 | 0.848 | 0.398 |
| Calendar year | 0.046577 | 0.130365 | 235.105 | 0.357 | 0.721 |
| Switzerland | |||||
| Constant term | 41.194097 | 0.025301 | 124,980.522 | 1.174 | 0.101 |
| Female sex | 0.130365 | 0.045674 | 144,203.009 | 2.854 | 0.401 |
| Calendar year | −0.003405 | 0.004187 | −0.813 | 0.759 | |
| United States of America | |||||
| Constant term | 59.833065 | 149.760218 | 1239.031 | 0.400 | 0.690 |
| Female sex | −0.210582 | 0.907549 | 602.658 | −0.232 | 0.817 |
| Calendar year | −0.009517 | 0.074571 | 1239.035 | −0.128 | 0.898 |
| Australia | |||||
| Constant term | 352.823540 | 240.345850 | 102.968 | 1.468 | 0.145 |
| Female sex | 0.724548 | 1.955842 | 120.491 | 0.370 | 0.712 |
| Calendar year | −0.155166 | 0.119654 | 102.965 | −1.297 | 0.198 |
| Belgium | |||||
| Constant term | 32.115986 | 200.805249 | 711.224 | 0.160 | 0.873 |
| Female sex | 0.194925 | 1.089004 | 423.817 | 0.179 | 0.858 |
| Calendar year | 0.005088 | 0.099966 | 711.329 | 0.051 | 0.959 |
| Hungary | |||||
| Constant term | 306.588165 | 391.814434 | 209.053 | 0.782 | 0.435 |
| Female sex | 1.793288 | 2.174815 | 181.126 | 0.825 | 0.411 |
| Calendar year | −0.129388 | 0.195061 | 209.050 | −0.663 | 0.508 |
| Ireland | |||||
| Constant term | −234.096789 | 266.979012 | 233.252 | −0.877 | 0.381 |
| Female sex | −1.746638 | 1.660739 | 110.543 | −1.052 | 0.295 |
| Calendar year | 0.136751 | 0.132924 | 233.250 | 1.029 | 0.305 |
| Poland | |||||
| Constant term | 80.619356 | 304.876109 | 293.818 | 0.264 | 0.792 |
| Female sex | 1.372858 | 1.636758 | 169.363 | 0.839 | 0.403 |
| Calendar year | −0.020831 | 0.151805 | 293.811 | −0.137 | 0.891 |
| Russia | |||||
| Constant term | 172.423406 | 334.325523 | 166.780 | 0.516 | 0.607 |
| Female sex | −1.652883 | 1.736428 | 115.009 | −0.952 | 0.343 |
| Calendar year | −0.067115 | 0.166487 | 166.786 | −0.403 | 0.687 |
| Sweden | |||||
| Constant term | 289.316852 | 335.082052 | 353.960 | 0.863 | 0.388 |
| Female sex | −0.592306 | 1.563797 | 209.865 | −0.379 | 0.705 |
| Calendar year | −0.122190 | 0.166817 | 353.950 | −0.732 | 0.464 |
| Finland | |||||
| Constant term | −59.142933 | 311.996766 | 307.703 | −0.190 | 0.850 |
| Female sex | 3.608451 | 1.778953 | 155.630 | 2.028 | 0.044 |
| Calendar year | 0.049886 | 0.155324 | 307.703 | 0.321 | 0.748 |
| Greece | |||||
| Constant term | −892.527239 | 519.331793 | 93.956 | −1.719 | 0.089 |
| Female sex | −0.405076 | 2.897113 | 68.342 | −0.140 | 0.889 |
| Calendar year | 0.464430 | 0.258636 | 93.954 | 1.796 | 0.076 |
| Republic of South Africa | |||||
| Constant term | 636.290049 | 640.320419 | 75.353 | 0.994 | 0.324 |
| Female sex | 2.142126 | 2.784791 | 44.423 | 0.769 | 0.446 |
| Calendar year | −0.296861 | 0.318625 | 75.353 | −0.932 | 0.354 |
| Brazil | |||||
| Constant term | 390.737458 | 494.198576 | 122.510 | 0.791 | 0.431 |
| Female sex | −1.389051 | 2.469821 | 73.141 | −0.562 | 0.576 |
| Calendar year | −0.171769 | 0.245978 | 122.514 | −0.698 | 0.486 |
| Mexico | |||||
| Constant term | 342.919947 | 496.145544 | 92.343 | 0.691 | 0.491 |
| Female sex | −0.070202 | 2.152566 | 68.580 | −0.033 | 0.974 |
| Calendar year | −0.150281 | 0.246976 | 92.326 | −0.608 | 0.544 |
| Argentina | |||||
| Constant term | −133.127127 | 591.831333 | 31.764 | −0.225 | 0.823 |
| Female sex | −2.442123 | 2.570733 | 24.433 | −0.950 | 0.351 |
| Calendar year | 0.086027 | 0.294531 | 31.768 | 0.292 | 0.772 |
| India | |||||
| Constant term | 647.670352 | 567.767634 | 57.387 | 1.141 | 0.259 |
| Female sex | −0.840896 | 2.566219 | 39.798 | −0.328 | 0.745 |
| Calendar year | −0.302860 | 0.282792 | 57.372 | −1.071 | 0.289 |
| Israel | |||||
| Constant term | 369.720687 | 818.353267 | 61.363 | 0.452 | 0.653 |
| Female sex | 2.219258 | 4.361460 | 43.335 | 0.509 | 0.613 |
| Calendar year | −0.162596 | 0.407397 | 61.348 | −0.399 | 0.691 |
| Slovenia | |||||
| Constant term | −780.162274 | 551.609835 | 27.991 | −1.414 | 0.168 |
| Female sex | −7.106008 | 2.764787 | 23.422 | −2.570 | 0.017 |
| Calendar year | 0.409617 | 0.274536 | 27.999 | 1.492 | 0.147 |
Data for Non-African runners are sorted in order of the number of finishers of each country
Age (years) with mean ± SD of female and male East-African and Non-African marathoners
| 1999 | 2000 | 2001 | 2002 | 2003 | 2004 | 2005 | 2006 | |
|---|---|---|---|---|---|---|---|---|
| Women | ||||||||
| Ethiopia | 32 | |||||||
| Kenya | 32 | |||||||
| Austria | 47 ± 4 | 45 ± 15 | 32 | 26 ± 8 | 37 ± 4 | 45 ± 7 | 40 ± 11 | 41 ± 11 |
| France | 40 ± 9 | 47 ± 7 | 45 ± 11 | 43 ± 9 | 47 ± 10 | 46 ± 9 | 45 ± 8 | 44 ± 8 |
| Great Britain | 34 ± 4 | 42 ± 18 | 29 ± 12 | 43 ± 11 | 40 ± 9 | 40 ± 9 | 40 ± 12 | |
| Germany | 45 ± 9 | 46 ± 11 | 48 ± 12 | 48 ± 11 | 44 ± 10 | 45 ± 13 | 44 ± 10 | 44 ± 9 |
| Italy | 43 | 61 ± 16 | 36 ± 16 | 52 ± 2 | 50 ± 4 | 48 ± 8 | 40 ± 6 | 33 ± 4 |
| Japan | 63 | 66 | 42 ± 17 | 43 ± 30 | 57 | 47 ± 18 | 53 ± 17 | 52 |
| Switzerland | 41 ± 11 | 42 ± 10 | 42 ± 11 | 41 ± 10 | 42 ± 10 | 42 ± 11 | 43 ± 11 | 41 ± 11 |
| Canada | 38 | 49 ± 10 | 55 ± 1 | 54 | 48 ± 7 | |||
| Liechtenstein | 44 | 52 ± 8 | 42 ± 11 | 48 ± 21 | 40 ± 4 | |||
| USA | 51 | 29 ± 2 | 39 ± 14 | 40 ± 17 | ||||
| Belgium | 28 | 41 | 43 ± 18 | 41 ± 13 | 46 ± 13 | |||
| Spain | 40 | |||||||
| Poland | 25 | 30 ± 1 | ||||||
| Men | ||||||||
| Ethiopia | 28 ± 3 | |||||||
| Kenya | 33 | 24 ± 4 | 29 ± 6 | 29 ± 8 | 29 | |||
| Austria | 52 ± 4 | 43 ± 14 | 45 ± 10 | 45 ± 9 | 42 ± 7 | 45 ± 7 | 44 ± 8 | 44 ± 9 |
| France | 43 ± 8 | 41 ± 10 | 44 ± 11 | 44 ± 10 | 44 ± 10 | 44 ± 9 | 44 ± 9 | 43 ± 9 |
| Great Britain | 34 ± 8 | 38 ± 16 | 39 ± 11 | 46 ± 13 | 43 ± 12 | 39 ± 10 | 41 ± 11 | 43 ± 10 |
| Germany | 40 ± 9 | 44 ± 9 | 44 ± 9 | 45 ± 9 | 44 ± 9 | 44 ± 9 | 43 ± 9 | 43 ± 9 |
| Italy | 52 ± 10 | 45 ± 8 | 50 ± 8 | 42 ± 9 | 44 ± 9 | 43 ± 12 | 44 ± 13 | 41 ± 9 |
| Japan | 41 | 64 | 36 ± 7 | 64 | 57 ± 8 | 51 ± 13 | 46 ± 17 | 45 ± 14 |
| Switzerland | 42 ± 11 | 43 ± 11 | 42 ± 11 | 42 ± 11 | 42 ± 11 | 42 ± 10 | 42 ± 11 | 42 ± 11 |
| Canada | 44 ± 6 | 45 | 33 ± 6 | 44 ± 5 | 41 ± 12 | 38 ± 12 | 43 ± 14 | 42 ± 16 |
| Liechtenstein | 29 | 53 ± 15 | 44 ± 10 | 40 ± 8 | 41 ± 8 | 43 ± 7 | ||
| USA | 45 ± 9 | 55 ± 8 | 41 ± 8 | 36 ± 14 | 37 ± 10 | 40 ± 11 | 44 ± 10 | 42 ± 13 |
| Belgium | 38 | 44 ± 10 | 41 ± 12 | 37 ± 15 | 43 ± 18 | 43 ± 11 | ||
| Spain | 54 | 45 | 28 ± 3 | 57 ± 9 | 44 ± 4 | 42 ± 10 | 41 ± 11 | |
| Poland | 31 | 27 ± 4 | 58 | 40 ± 12 | 49 | 30 ± 1 |
Data for Non-African runners are sorted in order of the number of finishers of each country
Results of the mixed-effects regression analyses for change in age across years in marathoners
| Parameter | Estimate | SE | DF | T |
|
|---|---|---|---|---|---|
| Ethiopia | |||||
| Constant term | 129.282320 | 508.886678 | 16.700 | 0.254 | 0.803 |
| Female sex | −0.243651 | 3.310608 | 12.319 | −0.074 | 0.943 |
| Calendar year | −0.050632 | 0.253416 | 16.702 | −0.200 | 0.844 |
| Kenya | |||||
| Constant term | −112.654090 | 528.060345 | 30.357 | −0.213 | 0.832 |
| Female sex | 3.707084 | 4.569460 | 13.457 | 0.811 | 0.431 |
| Calendar year | 0.070957 | 0.263161 | 30.291 | 0.270 | 0.789 |
| Austria | |||||
| Constant term | 203.368427 | 202.655612 | 491.365 | 1.004 | 0.316 |
| Female sex | −2.565643 | 1.122330 | 309.176 | −2.286 | 0.023 |
| Calendar year | −0.079728 | 0.100942 | 491.362 | −0.790 | 0.430 |
| France | |||||
| Constant term | 118.121641 | 83.994410 | 2805.626 | 1.406 | 0.160 |
| Female sex | 0.044112 | 0.552283 | 1850.356 | 0.080 | 0.936 |
| Calendar year | −0.037087 | 0.041835 | 2805.619 | −0.887 | 0.375 |
| Great Britain | |||||
| Constant term | 389.692562 | 249.759353 | 477.933 | 1.560 | 0.119 |
| Female sex | −1.714608 | 1.280914 | 348.174 | −1.339 | 0.182 |
| Calendar year | −0.173769 | 0.124396 | 477.931 | −1.397 | 0.163 |
| Germany | |||||
| Constant term | 107.789331 | 82.298718 | 3899.573 | 1.310 | 0.190 |
| Female sex | 0.535367 | 0.472119 | 2458.948 | 1.134 | 0.257 |
| Calendar year | −0.032069 | 0.040991 | 3899.516 | −0.782 | 0.434 |
| Italy | |||||
| Constant term | 556.010922 | 261.000704 | 423.965 | 2.130 | 0.034 |
| Female sex | 1.394311 | 1.647994 | 289.562 | 0.846 | 0.398 |
| Calendar year | −0.255065 | 0.129966 | 423.965 | −1.963 | 0.050 |
| Japan | |||||
| Constant term | −933.316248 | 562.194049 | 154.231 | −1.660 | 0.099 |
| Female sex | 1.996612 | 3.315609 | 104.626 | 0.602 | 0.548 |
| Calendar year | 0.488912 | 0.279931 | 154.230 | 1.747 | 0.083 |
| Switzerland | |||||
| Constant term | 37.165305 | 28.161538 | 39,125.737 | 1.320 | 0.187 |
| Female sex | 0.130342 | 0.144640 | 24,925.454 | 0.901 | 0.368 |
| Calendar year | 0.002333 | 0.014026 | 39,122.296 | 0.166 | 0.868 |
| Canada | |||||
| Constant term | −113.393911 | 476.054030 | 132.791 | −0.238 | 0.812 |
| Female sex | −2.046769 | 3.297757 | 73.295 | −0.621 | 0.537 |
| Calendar year | 0.077849 | 0.237227 | 132.790 | 0.328 | 0.743 |
| Liechtenstein | |||||
| Constant term | 1182.645518 | 516.645857 | 102.882 | 2.289 | 0.024 |
| Female sex | 2.754826 | 2.269941 | 72.517 | 1.214 | 0.229 |
| Calendar year | −0.569271 | 0.257412 | 102.881 | −2.212 | 0.029 |
| United States of America | |||||
| Constant term | 237.925017 | 383.185261 | 297.972 | 0.621 | 0.535 |
| Female sex | −1.592948 | 2.308567 | 180.960 | −0.690 | 0.491 |
| Calendar year | −0.098054 | 0.190859 | 297.985 | −0.514 | 0.608 |
| Belgium | |||||
| Constant term | −304.145888 | 500.299320 | 132.133 | −0.608 | 0.544 |
| Female sex | 1.923155 | 3.303639 | 100.875 | 0.582 | 0.562 |
| Calendar year | 0.172307 | 0.248996 | 132.127 | 0.692 | 0.490 |
| Spain | |||||
| Constant term | 519.395530 | 568.357363 | 74.188 | 0.914 | 0.364 |
| Female sex | −0.202724 | 2.587542 | 60.661 | −0.078 | 0.938 |
| Calendar year | −0.237530 | 0.282985 | 74.188 | −0.839 | 0.404 |
| Poland | |||||
| Constant term | −2195.393095 | 875.131990 | 54.937 | −2.509 | 0.015 |
| Female sex | −3.631775 | 3.857273 | 56.539 | −0.942 | 0.350 |
| Calendar year | 1.113417 | 0.435743 | 54.943 | 2.555 | 0.013 |
Data for Non-African runners are sorted in order of the number of finishers of each country
Running speed and age of half-marathoners and marathoners sorted by country
| Running speed | Age | ||||||
|---|---|---|---|---|---|---|---|
| Country | Women | Country | Men | Country | Women | Country | Men |
| Half-marathon | |||||||
| Kenya | 14.2 ± 5.1 | Kenya | 12.7 ± 4.8 | Ethiopia | 29.8 ± 7.7 | Ethiopia | 28.0 ± 5.2 |
| Ethiopia | 12.8 ± 5.1 | Ethiopia | 11.1 ± 4.4 | Kenya | 30.2 ± 6.0 | Kenya | 29.7 ± 8.3 |
| Portugal | 11.4 ± 3.5 | Portugal | 11.1 ± 2.9 | Russia | 35.2 ± 9.3 | Russia | 37.1 ± 9.0 |
| Liechtenstein | 10.9 ± 2.5 | Liechtenstein | 10.5 ± 2.7 | Czech Republic | 35.6 ± 8.1 | Czech Republic | 37.5 ± 10.7 |
| Hungary | 10.7 ± 2.4 | Italy | 10.4 ± 3.2 | Argentina | 38.1 ± 6.9 | Poland | 38.3 ± 11.3 |
| Italy | 10.7 ± 3.1 | Switzerland | 10.4 ± 2.9 | India | 38.3 ± 8.9 | South Africa | 38.7 ± 9.3 |
| Switzerland | 10.4 ± 2.9 | Hungary | 9.9 ± 2.9 | Slovenia | 38.5 ± 2.1 | Canada | 38.9 ± 11.9 |
| India | 10.2 ± 1.2 | France | 9.5 ± 3.3 | Ireland | 38.5 ± 7.5 | Australia | 38.9 ± 9.9 |
| Spain | 10.0 ± 3.0 | Netherlands | 9.5 ± 3.3 | USA | 38.5 ± 10.9 | Argentina | 39.2 ± 6.3 |
| Ireland | 9.8 ± 3.0 | Australia | 9.5 ± 2.9 | Great Britain | 38.8 ± 9.6 | India | 39.3 ± 8.6 |
| Argentina | 9.6 ± 3.1 | Spain | 9.4 ± 3.0 | Poland | 39.1 ± 9.9 | Portugal | 39.5 ± 9.2 |
| France | 9.5 ± 3.3 | Norway | 9.1 ± 3.0 | Canada | 39.2 ± 10.0 | USA | 39.9 ± 10.8 |
| Netherlands | 9.5 ± 3.2 | Great Britain | 9.0 ± 3.2 | Greece | 39.5 ± 9.3 | Greece | 39.9 ± 11.2 |
| Russia | 9.5 ± 2.8 | Israel | 8.9 ± 3.3 | Denmark | 40.4 ± 9.8 | Ireland | 40.2 ± 9.2 |
| Norway | 9.5 ± 2.9 | Belgium | 8.8 ± 3.0 | Spain | 40.6 ± 9.2 | Spain | 40.3 ± 9.6 |
| Great Britain | 9.2 ± 3.1 | Czech Republic | 8.8 ± 3.4 | Mexico | 40.6 ± 8.5 | Great Britain | 40.4 ± 10.4 |
| Brazil | 9.2 ± 2.5 | Ireland | 8.7 ± 3.1 | Luxembourg | 41.0 ± 9.8 | Mexico | 40.8 ± 9.0 |
| Mexico | 9.2 ± 2.4 | India | 8.7 ± 2.5 | Austria | 41.1 ± 8.5 | Switzerland | 41.2 ± 10.3 |
| Czech Republic | 9.1 ± 3.6 | Mexico | 8.7 ± 3.3 | Liechtenstein | 41.1 ± 9.7 | Liechtenstein | 41.2 ± 9.2 |
| Greece | 8.8 ± 2.7 | Greece | 8.6 ± 3.1 | Switzerland | 41.3 ± 10.3 | Luxembourg | 41.3 ± 9.2 |
| USA | 8.7 ± 3.1 | Poland | 8.5 ± 3.6 | France | 41.4 ± 9.5 | Denmark | 41.6 ± 10.7 |
| Denmark | 8.6 ± 3.0 | USA | 8.1 ± 3.0 | Belgium | 42.0 ± 10.4 | France | 41.6 ± 9.6 |
| Israel | 8.6 ± 3.6 | Germany | 8.4 ± 3.2 | Portugal | 42.3 ± 8.7 | Slovenia | 41.6 ± 16.2 |
| South Africa | 8.5 ± 2.7 | Argentina | 8.4 ± 3.0 | Australia | 42.3 ± 8.7 | Netherlands | 41.7 ± 10.6 |
| Poland | 8.5 ± 3.5 | Russia | 8.3 ± 2.7 | Italy | 42.3 ± 9.6 | Belgium | 41.8 ± 10.7 |
| Belgium | 8.4 ± 3.0 | Denmark | 8.2 ± 2.9 | Israel | 42.5 ± 12.8 | Finland | 42.1 ± 11.7 |
| Germany | 8.4 ± 3.2 | Sweden | 8.1 ± 3.1 | Sweden | 42.6 ± 11.9 | Austria | 42.3 ± 9.1 |
| Australia | 8.2 ± 2.9 | Brazil | 8.0 ± 2.9 | South Africa | 43.3 ± 9.9 | Norway | 42.5 ± 12.6 |
| Sweden | 8.2 ± 3.1 | Austria | 7.9 ± 3.1 | Germany | 43.3 ± 9.7 | Israel | 42.6 ± 11.9 |
| Luxembourg | 8.1 ± 2.8 | Slovenia | 7.9 ± 3.1 | Brazil | 43.7 ± 10.9 | Italy | 42.8 ± 9.5 |
| Austria | 7.9 ± 3.1 | South Africa | 7.8 ± 3.2 | Netherlands | 44.1 ± 9.7 | Greece | 43.1 ± 9.9 |
| Canada | 7.2 ± 3.3 | Luxembourg | 7.8 ± 2.9 | Finland | 45.6 ± 10.7 | Sweden | 43.4 ± 11.8 |
| Slovenia | 7.1 ± 2.9 | Canada | 7.4 ± 3.1 | Hungary | 48.1 ± 11.5 | Hungary | 44.2 ± 13.1 |
| Finland | 6.6 ± 2.8 | Finland | 7.0 ± 2.6 | Norway | 48.3 ± 13.5 | Brazil | 44.6 ± 9.9 |
| Japan | 6.2 ± 2.6 | Japan | 6.5 ± 2.9 | Japan | 48.8 ± 14.2 | Japan | 49.5 ± 15.8 |
| Marathon | |||||||
| Ethiopia | 18.8 ± 0.3 | Kenya | 17.8 ± 1.3 | Ethiopia | 26.3 ± 5.5 | Ethiopia | 27.2 ± 4.6 |
| Kenya | 18.3 ± 0.1 | Ethiopia | 16.1 ± 1.6 | Kenya | 33.5 ± 2.1 | Kenya | 29.2 ± 6.0 |
| Liechtenstein | 16.6 ± 3.5 | Liechtenstein | 16.6 ± 3.5 | Poland | 38.5 ± 11.6 | Liechtenstein | 40.3 ± 9.0 |
| Italy | 15.8 ± 4.1 | Switzerland | 14.7 ± 4.0 | Great Britain | 39.0 ± 10.4 | Great Britain | 40.4 ± 10.2 |
| Switzerland | 15.0 ± 4.1 | Belgium | 14.4 ± 3.9 | Canada | 40.2 ± 10.0 | Poland | 40.5 ± 13.1 |
| Japan | 14.1 ± 4.4 | Spain | 14.2 ± 3.9 | Liechtenstein | 41.2 ± 10.3 | USA | 41.3 ± 10.6 |
| Spain | 13.6 ± 2.8 | Italy | 13.6 ± 3.9 | Austria | 41.5 ± 8.5 | Canada | 41.4 ± 11.1 |
| France | 13.4 ± 3.9 | France | 13.3 ± 3.8 | Spain | 41.8 ± 7.8 | Switzerland | 41.8 ± 10.5 |
| Great Britain | 13.2 ± 3.9 | Great Britain | 13.3 ± 3.9 | Switzerland | 41.9 ± 10.7 | Belgium | 42.1 ± 11.0 |
| Poland | 12.9 ± 3.4 | Germany | 12.9 ± 3.6 | USA | 43.3 ± 16.5 | Spain | 42.3 ± 9.5 |
| Germany | 12.9 ± 3.8 | USA | 12.8 ± 3.9 | Belgium | 43.4 ± 11.7 | Austria | 42.9 ± 8.5 |
| Austria | 12.4 ± 3.0 | Austria | 12.3 ± 2.9 | France | 43.6 ± 9.2 | France | 43.2 ± 9.7 |
| USA | 12.3 ± 3.8 | Japan | 12.1 ± 4.1 | Germany | 43.8 ± 10.2 | Germany | 43.4 ± 9.6 |
| Canada | 11.9 ± 4.4 | Poland | 11.9 ± 3.3 | Italy | 45.0 ± 12.2 | Italy | 43.5 ± 9.9 |
| Belgium | 11.6 ± 2.6 | Canada | 11.8 ± 4.3 | Japan | 51.8 ± 14.9 | Japan | 48.0 ± 15.5 |