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| year | hare | lynx | |
|---|---|---|---|
| 1847 | 21000 | 49000 | |
| 1848 | 12000 | 21000 | |
| 1849 | 24000 | 9000 | |
| 1850 | 50000 | 7000 | |
| 1851 | 80000 | 5000 | |
| 1852 | 80000 | 5000 | |
| 1853 | 90000 | 11000 | |
| 1854 | 69000 | 22000 | |
| 1855 | 80000 | 33000 | |
| 1856 | 93000 | 33000 | |
| 1857 | 72000 | 27000 | |
| 1858 | 27000 | 18000 | |
| 1859 | 14000 | 8000 | |
| 1860 | 16000 | 4000 | |
| 1861 | 38000 | 4000 | |
| 1862 | 5000 | 4000 | |
| 1863 | 153000 | 20000 | |
| 1864 | 145000 | 35000 | |
| 1865 | 106000 | 68000 | |
| 1866 | 46000 | 70000 | |
| 1867 | 23000 | 40000 | |
| 1868 | 2000 | 22000 | |
| 1869 | 4000 | 9000 | |
| 1870 | 8000 | 5000 | |
| 1871 | 7000 | 4000 | |
| 1872 | 60000 | 10000 | |
| 1873 | 46000 | 18000 | |
| 1874 | 50000 | 19000 | |
| 1875 | 103000 | 43000 | |
| 1876 | 87000 | 37000 | |
| 1877 | 68000 | 22000 | |
| 1878 | 17000 | 15000 | |
| 1879 | 10000 | 10000 | |
| 1880 | 17000 | 8000 | |
| 1881 | 16000 | 8000 | |
| 1882 | 15000 | 30000 | |
| 1883 | 46000 | 52000 | |
| 1884 | 55000 | 75000 | |
| 1885 | 137000 | 80000 | |
| 1886 | 137000 | 33000 | |
| 1887 | 95000 | 20000 | |
| 1888 | 37000 | 13000 | |
| 1889 | 22000 | 7000 | |
| 1890 | 50000 | 6000 | |
| 1891 | 54000 | 10000 | |
| 1892 | 65000 | 20000 | |
| 1893 | 60000 | 35000 | |
| 1894 | 81000 | 55000 | |
| 1895 | 95000 | 40000 | |
| 1896 | 56000 | 28000 | |
| 1897 | 18000 | 16000 | |
| 1898 | 5000 | 5000 | |
| 1899 | 2000 | 6000 | |
| 1900 | 15000 | 10000 | |
| 1901 | 2000 | 21000 | |
| 1902 | 6000 | 35000 | |
| 1903 | 45000 | 50000 |
hi @AdriaCoding, thanks for commenting.
I checked it again and it turns out that I have a typo, but it's not what you pointed at: its Table III not Table II.
The scan available at https://archive.org/details/somemathematical0000symp_o1x7 clearly shows "5,000" hare in 1862.
I do feel sorry for your ML model, but the dataset says 5,000 and if that was a typo, it happened more than half a century ago.
You might want to try a Student-t for the loss or likehood function to get some robustness against outliers.
best
Michael
Thanks for your time Michael.
Indeed I was suspecting that the typo comes from the original authors. Maybe it is not a typo, as the hare population is quite noisy all along the dataset, possibly due to external factors that do not affect the lynx population as much.
Thanks for your suggestions, i will be trying them out. 😄
Hi, Mr Osthege,
I want to use this information for a tesis I am writing but I don't really know what is the validity of this information. I have been searching the internet for the exact numbers and databases of this population, but I continuously find images and websites that don't led to anywhere. Where did you get this information? I understand you put your source link, but I do not know how to use that website, and wanted to comment directly.
@TeoFantasy
I went to my university library and copied the numbers from the actual book "Some mathematical problems in biology".
The link in the description (http://katalog.ub.uni-heidelberg.de/titel/66489211) points to that book in the university library. They don't have a digital version of it, but you can go to Heidelberg and have a look at the physical copy. It's a beautiful city worth visiting.
Under https://archive.org/details/somemathematical0000symp_o1x7 you can find a digital scan of the book. You have to register (free) and log in to get access to the whole book for a limited time.
Dear Mr. Osthege,
I believe there is a typo in this dataset. At year 1862 the hare population should be in a growth period, but it does a sudden dropdown to 5000. We believe that 5000 -> 50000.
I can not open a pull request, but forked you gist and made the changes here. We were using your dataset for a ML project at our university, and we needed to introduce this change for our models to make sense.
Best wishes,
Adrià Lisa.