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Alfred J. Lotka

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293: 410:. His first book summarizes his previous work and organizes his ideas of unity and universality of physical laws, making his works accessible to other scientists. Although the book covered a large number of topics, from energetics of evolution (see below) to the physical nature of consciousness, the author is primarily known today for the 44: 944:. In: Encyclopedia of Earth. Eds. Cutler J. Cleveland (Washington, D.C.: Environmental Information Coalition, National Council for Science and the Environment). First published in the Encyclopedia of Earth September 15, 2006; Last revised December 1, 2008; Retrieved August 3, 2009. 510:
of the number of authors writing one paper. Each subject area can have associated with it an exponent representing its specific rate of author productivity." Lotka's work sparked additional inquiries, eventually seminally contributing to the field of
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model. In 1923, he published a thorough five-part analysis and extension of both Ross's malaria models. The fourth part in the series, co-authored by F. R. Sharpe, modeled the time lag for pathogen incubation. Lotka published
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could be quantified as a physical law. The law that he proposed was that the selective principle of evolution was one which favoured the maximum useful energy flow transformation. The general systems ecologist
568: 502:". The law, which Lotka discovered, relates to the productivity of scientists. As noted by W. G. Poitier in 1981: "The Lotka distribution is based on an inverse square law where the number of authors writing 1016: 1669: 1872: 312:, Lotka was a bio-mathematician and a bio-statistician, who sought to apply the principles of the physical sciences to biological sciences as well. His main interest was 1822: 1795: 1025: 226: 1009: 1827: 1640: 774: 598: 1741: 1699: 1657: 1496: 1467: 374:
more efficiently than their competitors. Lotka extended his energetics framework to human society. In particular, he suggested that the shift in reliance from
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to nonrenewable energy would pose unique and fundamental challenges to society. These theories made Lotka an important forerunner to the development of
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Loth, A. J. (1926) "The Frequency Distribution of Scientific Productivity". Journal of the Washington Academy of Sciences 16(1926):317–323.
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Within the field of bibliometrics, particularly that part devoted to studying scientific publications, Lotka is noted for contributing "
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Cervellati, Rinaldo; Greco, Emanuela (2016). "Periodic Reactions: The Early Works of William C. Bray and Alfred J. Lotka".
580: 1847: 321: 264: 771: 1857: 574: 192:, Austria-Hungary (now Lviv, Ukraine) to Polish-American parents. His parents, Jacques and Marie (Doebely) Lotka, were 548: 1029: 555: 1852: 1817: 1353: 743: 732: 623: 1216: 592: 297: 240: 161: 104: 17: 470: 411: 169: 407: 638: 462:
Lotka's work in mathematical demography began in 1907 with the publication of articles in the journal
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Alfred J. Lotka Papers at the Seeley G. Mudd Manuscript Library, Princeton University
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states that organisms that survive and prosper are those that capture and use
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A. J. Lotka (1923) "Contribution to the analysis of malaria epidemiology".
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later applied Lotka's proposal as a central guiding feature of his work in
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Although he is today known mainly for the Lotka–Volterra equations used in
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Lotka, A. J. (1989). Lotka on population study, ecology, and evolution.
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Sharpe, F. R. & Lotka, A. J. (1911). A problem in age distribution.
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Analyse demographique avec application particuliere a l'espece humaine
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One of Lotka's earliest publications, in 1912, proposed a solution to
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Cleveland, Cutler (Lead Author); Peter Saundry (Topic Editor). 2008.
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Lotka, A. J. (1907). Relation between birth rates and death rates.
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was, at its root, a struggle among organisms for available energy;
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Lotka, A. J. (1919). A contribution to quantitive epidemiology.
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His earlier work was centered on energetics and applications of
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Modeling nature: episodes in the history of population ecology
136:(March 2, 1880 â€“ December 5, 1949) was a Polish-American 953:
The Dover volume contains a list of Lotka's technical papers.
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Union for the Scientific Investigation of Population Problems
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Electronic Journal for History of Probability and Statistics
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Electronic Journal for History of Probability and Statistics
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A. J. Lotka (1912) Quantitative studies in epidemiology.
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In 1935, he married Romola Beattie. They had no children.
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is still the basis of many models used in the analysis of
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Analytical Theory of Biological Populations: Introduction
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Emigrants from Austria-Hungary to the United States
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Lotka–Volterra inter-specific competition equations
1823:Presidents of the American Statistical Association 850: 515:—the scientific study of scientific publications. 985:Alfred J. Lotka and the Mathematics of Population 963:Alfred J. Lotka and the Mathematics of Population 402:While at Johns Hopkins, Lotka completed his book 1809: 164:, developed simultaneously but independently of 1828:Fellows of the American Statistical Association 856: 837:"Lotka, Alfred James (United States 1880-1949)" 673:ThĂ©orie Analytique des Associations Biologiques 476:ThĂ©orie Analytique des Associations Biologiques 457: 397: 300:predict linked oscillations in populations of 196:nationals. He gained his B.Sc. in 1901 at the 160:, Lotka is best known for his proposal of the 1010: 726:Journal of the Washington Academy of Sciences 569:United States National Committee of the Union 733:Contribution to the energetics of evolution 691:Analytical theory of biological populations 677:Analytical Theory of Biological Populations 1017: 1003: 417: 42: 744:Natural selection as a physical principle 406:(1925), in which he extended the work of 830: 828: 826: 291: 920:"Alfred J Lotka papers, MC032, page 35" 824: 822: 820: 818: 816: 814: 812: 810: 808: 806: 14: 1810: 772:Alfred Lotka, mathematical demographer 998: 891: 204:, he did graduate work in 1901–02 at 67:, Austria-Hungary (now Lviv, Ukraine) 1868:Ukrainian people of American descent 803: 581:Institute of Mathematical Statistics 536:Twenty-five Years of Health Progress 433:Lotka proposed the theory that the 340:in 1925, one of the first books on 271:(1924 until his retirement in 1948) 265:Metropolitan Life Insurance Company 24: 792:. Chicago: University of Chicago. 624:Sharpe–Lotka–McKendrick's equation 575:American Public Health Association 27:American mathematician (1880–1949) 25: 1889: 1833:Polish people of American descent 972: 834: 684:Population and Development Review 549:Population Association of America 486:, was published in 1939; both by 278:He died in Red Bank, New Jersey. 1030:American Statistical Association 666:Elements of Mathematical Biology 664:" reprinted by Dover in 1956 as 556:American Statistical Association 493: 755:The American Journal of Hygiene 654: 1878:20th-century American chemists 947: 934: 912: 885: 450:. Odum called Lotka's law the 208:, received an M.A. in 1909 at 13: 1: 859:Journal of Chemical Education 796: 662:Elements of Physical Biology 458:Demography and public health 404:Elements of Physical Biology 398:Elements of physical biology 338:Elements of Physical Biology 241:National Bureau of Standards 7: 879:10.1021/acs.jchemed.6b00342 788:Kingsland, S. E. (1985). 586: 471:American Journal of Science 354:. He is also known for his 322:Metropolitan Life Insurance 10: 1894: 1848:American physical chemists 693:. New York: Plenum Press 285: 1858:Cornell University alumni 1650: 1489: 1328: 1167: 1036: 892:Lotka, Alfred J. (2013). 679:. New York: Plenum Press. 541: 148:, famous for his work in 127: 117: 110: 99: 91: 72: 50: 41: 34: 1796:Madhumita Ghosh Dastidar 1080:Frederick Ludwig Hoffman 593:Lotka–Volterra equations 528:The Money Value of a Man 414:of population dynamics. 408:Pierre François Verhulst 298:Lotka–Volterra equations 288:Lotka-Volterra equations 258:Johns Hopkins University 239:Assistant physicist for 227:General Chemical Company 198:University of Birmingham 105:Lotka–Volterra equations 1348:William Gemmell Cochran 1241:Warren Randolph Burgess 1205:William Fielding Ogburn 898:. Springer. p. 8. 452:maximum power principle 418:Energetics of evolution 412:Lotka–Volterra equation 281: 183: 1853:American biophysicists 1818:American statisticians 1760:Lisa Morrissey LaVange 1539:Richard Loree Anderson 1086:Walter Francis Willcox 922:. Princeton University 748:Proc Natl Acad Sci USA 737:Proc Natl Acad Sci USA 712:Philosophical Magazine 675:translated in 1998 as 561:Vice president of the 362:. Lotka proposed that 305: 229:(1902–1908, 1914–1919) 225:Assistant chemist for 1116:Wesley Clair Mitchell 961:Jacques VĂ©ron. 2008. 942:"Lotka, Alfred James" 750:, 8, pp. 151–54. 742:A. J. Lotka (1922b) " 739:, 8: pp. 147–51. 731:A. J. Lotka (1922a) " 698:Articles, a selection 689:Lotka, A. J. (1998). 634:Biophysical economics 380:biophysical economics 295: 286:Further information: 263:Statistician for the 214:Birmingham University 1742:David R. Morganstein 1700:Peter A. Lachenbruch 1658:Richard L. Scheaffer 1497:Franklin A. Graybill 1468:Clifford G. Hildreth 1426:Frederick F. Stephan 1396:Martin R. Gainsbrugh 1277:Emanuel Goldenweiser 1193:Edwin Bidwell Wilson 1175:Leonard Porter Ayres 1062:Francis Amasa Walker 968:, Vol 4, No 1, June. 671:Lotka, A. J. (1939) 660:A. J. Lotka (1925) " 619:Euler–Lotka equation 384:ecological economics 342:mathematical biology 232:Patent examiner for 170:Lotka–Volterra model 84:Red Bank, New Jersey 1724:Robert N. Rodriguez 1641:W. Michael O'Fallon 1515:Herman Otto Hartley 1456:Churchill Eisenhart 1432:Frederick Mosteller 1342:Aryness Joy Wickens 1265:Winfield W. Riefler 1152:Louis Israel Dublin 1140:William S. Rossiter 871:2017JChEd..94..195C 770:Haaga, J. (2000). " 606:(a special case of 520:Louis Israel Dublin 249:Scientific American 174:population dynamics 162:predator–prey model 150:population dynamics 1736:Nathaniel Schenker 1635:Jonas H. Ellenberg 1521:Margaret E. Martin 1372:William R. Leonard 1307:George W. Snedecor 1289:Walter A. Shewhart 1223:Frederick C. Mills 1158:Robert E. Chaddock 1110:Allyn Abbott Young 1098:Edward Dana Durand 1050:George C. Shattuck 777:2017-08-20 at the 518:He teamed up with 351:On Growth and Form 306: 210:Cornell University 206:Leipzig University 188:Lotka was born in 134:Alfred James Lotka 1805: 1804: 1772:Wendy L. Martinez 1754:Barry D. Nussbaum 1712:Sastry G. Pantula 1688:Sallie Ann Keller 1623:Jon R. Kettenring 1593:Katherine Wallman 1563:Barbara A. Bailar 1545:I. Richard Savage 1438:Geoffrey H. Moore 1408:Raymond T. Bowman 1378:Walter E. Hoadley 1366:Gertrude Mary Cox 1259:F. Leslie Hayford 1146:Warren M. Persons 1128:George E. Roberts 1068:Carroll D. Wright 905:978-1-4757-9176-1 686:, 15(3), 539–550. 629:Energy accounting 614:Lotka's principle 554:President of the 547:President of the 488:Hermann & Cie 448:ecosystem ecology 439:natural selection 368:Lotka's principle 364:natural selection 131: 130: 112:Scientific career 16:(Redirected from 1885: 1863:Bibliometricians 1611:Mitchell H. Gail 1599:J. Stuart Hunter 1575:Janet L. Norwood 1557:Donald Marquardt 1527:Ralph A. Bradley 1509:George E. P. Box 1474:Jerome Cornfield 1414:Albert H. Bowker 1390:Morris H. Hansen 1360:Ralph J. Watkins 1354:Herbert Marshall 1229:Willford I. King 1199:Malcolm C. Rorty 1134:Carroll W. Doten 1122:Joseph Adna Hill 1104:Charles P. Neill 1044:Richard Fletcher 1019: 1012: 1005: 996: 995: 954: 951: 945: 938: 932: 931: 929: 927: 916: 910: 909: 889: 883: 882: 854: 848: 847: 845: 843: 835:Smith, Charles. 832: 783:Population Today 728:, 9: p. 73. 644:Energy economics 567:Chairman of the 256:Staff member at 234:US Patent Office 142:physical chemist 79: 60: 58: 46: 32: 31: 21: 1893: 1892: 1888: 1887: 1886: 1884: 1883: 1882: 1808: 1807: 1806: 1801: 1706:Sally C. Morton 1694:Mary Ellen Bock 1670:Robert L. Mason 1646: 1581:Vincent Barabba 1533:William Kruskal 1485: 1462:William H. Shaw 1420:W. Allen Wallis 1324: 1319:Samuel S. Wilks 1283:Helen M. Walker 1271:Alfred J. Lotka 1247:Robert H. Coats 1235:Joseph S. Davis 1163: 1032: 1023: 975: 958: 957: 952: 948: 939: 935: 925: 923: 918: 917: 913: 906: 890: 886: 855: 851: 841: 839: 833: 804: 799: 779:Wayback Machine 657: 595:(for predation) 589: 544: 496: 460: 420: 400: 388:Frederick Soddy 358:perspective on 346:D'Arcy Thompson 290: 284: 212:and a D.Sc. at 186: 87: 81: 77: 76:5 December 1949 68: 62: 56: 54: 37: 36:Alfred J. Lotka 28: 23: 22: 15: 12: 11: 5: 1891: 1881: 1880: 1875: 1870: 1865: 1860: 1855: 1850: 1845: 1840: 1835: 1830: 1825: 1820: 1803: 1802: 1800: 1799: 1793: 1787: 1781: 1775: 1769: 1763: 1757: 1751: 1745: 1739: 1733: 1730:Marie Davidian 1727: 1721: 1715: 1709: 1703: 1697: 1691: 1685: 1682:Fritz Scheuren 1679: 1673: 1667: 1664:Miron L. Straf 1661: 1654: 1652: 1648: 1647: 1645: 1644: 1638: 1632: 1629:David S. Moore 1626: 1620: 1614: 1608: 1605:Ronald L. Iman 1602: 1596: 1590: 1587:Arnold Zellner 1584: 1578: 1572: 1569:Robert V. Hogg 1566: 1560: 1554: 1548: 1542: 1536: 1530: 1524: 1518: 1512: 1506: 1500: 1493: 1491: 1487: 1486: 1484: 1483: 1480:Lester Frankel 1477: 1471: 1465: 1459: 1453: 1450:T. A. Bancroft 1447: 1444:A. Ross Eckler 1441: 1435: 1429: 1423: 1417: 1411: 1405: 1399: 1393: 1387: 1381: 1375: 1369: 1363: 1357: 1351: 1345: 1339: 1332: 1330: 1326: 1325: 1323: 1322: 1316: 1310: 1304: 1298: 1292: 1286: 1280: 1274: 1268: 1262: 1256: 1250: 1244: 1238: 1232: 1226: 1220: 1217:Stuart A. Rice 1214: 1208: 1202: 1196: 1190: 1184: 1178: 1171: 1169: 1165: 1164: 1162: 1161: 1155: 1149: 1143: 1137: 1131: 1125: 1119: 1113: 1107: 1101: 1095: 1089: 1083: 1077: 1074:S. N. D. North 1071: 1065: 1059: 1053: 1047: 1040: 1038: 1034: 1033: 1022: 1021: 1014: 1007: 999: 993: 992: 983:Jacques Veron 981: 974: 973:External links 971: 970: 969: 956: 955: 946: 933: 911: 904: 884: 865:(2): 195–201. 849: 801: 800: 798: 795: 794: 793: 786: 767: 766: 762: 761: 758: 751: 740: 729: 722: 721:, 88: 497–498. 715: 714:, 21: 435–438. 708: 707:, 26: 121–130. 700: 699: 695: 694: 687: 680: 669: 656: 653: 652: 651: 649:Howard T. Odum 646: 641: 636: 631: 626: 621: 616: 611: 601: 596: 588: 585: 584: 583: 577: 571: 565: 559: 552: 543: 540: 532:Length of Life 513:scientometrics 495: 492: 459: 456: 444:Howard T. Odum 424:thermodynamics 419: 416: 399: 396: 386:, advanced by 283: 280: 273: 272: 261: 254: 246:Editor of the 244: 237: 230: 222: 221: 185: 182: 129: 128: 125: 124: 119: 115: 114: 108: 107: 101: 100:Known for 97: 96: 93: 89: 88: 82: 80:(aged 69) 74: 70: 69: 63: 52: 48: 47: 39: 38: 35: 26: 9: 6: 4: 3: 2: 1890: 1879: 1876: 1874: 1871: 1869: 1866: 1864: 1861: 1859: 1856: 1854: 1851: 1849: 1846: 1844: 1841: 1839: 1836: 1834: 1831: 1829: 1826: 1824: 1821: 1819: 1816: 1815: 1813: 1797: 1794: 1791: 1788: 1785: 1782: 1779: 1778:Robert Santos 1776: 1773: 1770: 1767: 1766:Karen Kafadar 1764: 1761: 1758: 1755: 1752: 1749: 1746: 1743: 1740: 1737: 1734: 1731: 1728: 1725: 1722: 1719: 1716: 1713: 1710: 1707: 1704: 1701: 1698: 1695: 1692: 1689: 1686: 1683: 1680: 1677: 1676:Bradley Efron 1674: 1671: 1668: 1665: 1662: 1659: 1656: 1655: 1653: 1649: 1642: 1639: 1636: 1633: 1630: 1627: 1624: 1621: 1618: 1617:Lynne Billard 1615: 1612: 1609: 1606: 1603: 1600: 1597: 1594: 1591: 1588: 1585: 1582: 1579: 1576: 1573: 1570: 1567: 1564: 1561: 1558: 1555: 1552: 1549: 1546: 1543: 1540: 1537: 1534: 1531: 1528: 1525: 1522: 1519: 1516: 1513: 1510: 1507: 1504: 1501: 1498: 1495: 1494: 1492: 1488: 1481: 1478: 1475: 1472: 1469: 1466: 1463: 1460: 1457: 1454: 1451: 1448: 1445: 1442: 1439: 1436: 1433: 1430: 1427: 1424: 1421: 1418: 1415: 1412: 1409: 1406: 1403: 1402:Philip Hauser 1400: 1397: 1394: 1391: 1388: 1385: 1384:Rensis Likert 1382: 1379: 1376: 1373: 1370: 1367: 1364: 1361: 1358: 1355: 1352: 1349: 1346: 1343: 1340: 1337: 1334: 1333: 1331: 1327: 1320: 1317: 1314: 1313:Simon Kuznets 1311: 1308: 1305: 1302: 1301:Willard Thorp 1299: 1296: 1293: 1290: 1287: 1284: 1281: 1278: 1275: 1272: 1269: 1266: 1263: 1260: 1257: 1254: 1253:Raymond Pearl 1251: 1248: 1245: 1242: 1239: 1236: 1233: 1230: 1227: 1224: 1221: 1218: 1215: 1212: 1211:Irving Fisher 1209: 1206: 1203: 1200: 1197: 1194: 1191: 1188: 1185: 1182: 1181:Edmund E. 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The 144:, and 118:Fields 86:, U.S. 1651:2001– 928:2022 900:ISBN 844:2017 468:and 382:and 296:The 282:Work 190:LwĂłw 184:Life 156:. A 152:and 103:The 73:Died 65:LwĂłw 51:Born 987:in 875:doi 781:". 746:". 735:". 426:in 348:'s 320:at 176:in 1814:: 873:. 863:94 861:. 805:^ 526:: 454:. 430:. 390:, 324:. 267:, 200:, 194:US 180:. 140:, 1018:e 1011:t 1004:v 930:. 908:. 881:. 877:: 869:: 846:. 668:. 610:) 508:n 504:n 59:) 55:( 20:)

Index

Alfred Lotka

LwĂłw
Red Bank, New Jersey
Lotka–Volterra equations
Mathematics
mathematician
physical chemist
statistician
population dynamics
energetics
biophysicist
predator–prey model
Vito Volterra
Lotka–Volterra model
population dynamics
ecology
LwĂłw
US
University of Birmingham
England
Leipzig University
Cornell University
Birmingham University
General Chemical Company
US Patent Office
National Bureau of Standards
Scientific American
Johns Hopkins University
Metropolitan Life Insurance Company

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