28:
435:
Schaefer's seminal paper further extends the biological model to account for dynamics of fishing pressure in an unregulated fishery, assuming that fishing effort increases until profit can no longer be made. Thus, the fishery reaches an equilibrium, referred to as the
448:. It is a common to credit Schaefer only for the biological part of this model , but this is a mistake. Together, the work by Schaefer and Gordon set the basis for quantitative analyses of fisheries economics.
440:
by H. Scott Gordon in a paper published the same year as
Schaefer's but focused on purely economics of fishing. Apparently, Schaefer and Gordon did not know about each other's work, and today their
409:
331:
267:
157:
681:
298:
represents the catchability of the stock. Assuming the catch to equal the net natural growth in the population over the same period (
193:
173:
113:
637:
575:
423:
Schaefer published during the 1950s a range of papers of empirical studies based on the model, the most famous perhaps being
342:
216:
671:
197:
117:
156:
Schaefer worked as a biologist at the
Washington State Fisheries Department. From 1937 to 1942 as a scientist for the
161:
209:
141:
219:
and an assumption of a bi-linear catch equation, often referred to as the
Schaefer short-term catch equation:
676:
420:
being biological parameters representing intrinsic growth rate and natural equilibrium biomass respectively.
495:(2) (reprinted in Bulletin of Mathematical Biology, Vol. 53, No. 1/2, pp. 253-279, 1991 ed.): 27–56,
485:"Some aspects of the dynamics of populations important to the management of commercial marine fisheries"
213:
441:
189:
88:
73:
301:
224:
545:"A study of the dynamics of the fishery for yellowfin tuna in the Eastern Tropical Pacific Ocean"
425:
A study of the dynamics of the fishery for yellowfin tuna in the
Eastern Tropical Pacific Ocean
445:
137:
666:
661:
590:
Gordon, H. Scott (1954), "The economic theory of a common-property resource: the fishery",
530:
8:
177:
626:
607:
514:
427:. Other researchers also soon saw the potential of developing the model tools further.
467:
633:
611:
571:
518:
291:
133:
84:
599:
504:
496:
181:
165:
208:
During his period at the IATTC, Schaefer worked on the development of theories of
180:. Later, he worked at the Pacific Oceanic Fisheries Investigations Laboratory in
280:
655:
294:
at the beginning of the period (or the average biomass), and the parameter
275:, referring to catch (harvest) over a given period of time (e.g. a year);
568:
Quantitative
Fisheries Stock Assessment: Choice, Dynamics and Uncertainty
288:
628:
Mathematical
Bioeconomics: The Optimal Management of Renewable Resources
27:
500:
333:), the equilibrium catch is a function of the long term fishing effort
509:
185:
145:
603:
192:
in 1950. In 1951 Schaefer became
Director of Investigations at the
544:
484:
169:
176:
and held various posts at the
Fishery Biology Headquarters at
196:(IATTC). IATTC established its first headquarters at the
549:
Bulletin of the Inter-American
Tropical Tuna Commission
489:
Bulletin of the Inter-American
Tropical Tuna Commission
212:
and published a fishery equilibrium model based on the
404:{\displaystyle H(E)=qKE\left(1-{\frac {qE}{r}}\right)}
345:
304:
227:
203:
625:
403:
325:
261:
258:
158:International Pacific Salmon Fisheries Commission
653:
623:
533:Deborah Day. La Jolla, CA: UCSD Libraries, 1997
470:Deborah Day. La Jolla, CA: UCSD Libraries, 1997
565:
463:
461:
26:
508:
478:
476:
617:
542:
482:
458:
430:
194:Inter-American Tropical Tuna Commission
174:United States Fish and Wildlife Service
114:Inter-American Tropical Tuna Commission
654:
589:
473:
566:Hilborn, R.; Walters, C. J. (1992),
198:Scripps Institution of Oceanography
118:Scripps Institution of Oceanography
13:
531:Milner Baily Schaefer Bibliography
204:Schaefer short-term catch equation
140:), is notable for his work on the
14:
693:
682:20th-century American zoologists
468:Milner Baily Schaefer Biography
130:Milner Baily ("Benny") Schaefer
583:
559:
536:
524:
355:
349:
243:
231:
1:
451:
592:Journal of Political Economy
543:Schaefer, Milner B. (1957),
483:Schaefer, Milner B. (1954),
326:{\displaystyle {\dot {X}}=0}
262:{\displaystyle H(E,X)=qEX\!}
7:
10:
698:
672:American marine biologists
271:where the variables are;
151:
123:
109:
102:
94:
79:
69:
53:
34:
25:
18:
624:Clark, Colin W. (1990),
190:University of Washington
172:. In 1946 he joined the
74:University of Washington
283:over the given period;
217:population growth model
405:
327:
263:
446:Gordon-Schaefer Model
431:Gordon-Schaefer model
406:
328:
264:
138:San Diego, California
20:Milner Baily Schaefer
677:Fisheries scientists
438:bionomic equilibrium
343:
302:
225:
83:The Schaefer model,
188:doctorate from the
178:Stanford University
142:population dynamics
501:10.1007/BF02464432
444:model is known as
401:
323:
259:
639:978-0-471-50883-0
577:978-0-412-02271-5
394:
314:
134:Cheyenne, Wyoming
127:
126:
104:Scientific career
85:fisheries science
48:Cheyenne, Wyoming
45:December 14, 1912
689:
643:
642:
631:
621:
615:
614:
587:
581:
580:
563:
557:
556:
540:
534:
528:
522:
521:
512:
480:
471:
465:
410:
408:
407:
402:
400:
396:
395:
390:
382:
332:
330:
329:
324:
316:
315:
307:
268:
266:
265:
260:
210:fishery dynamics
184:and completed a
182:Honolulu, Hawaii
166:British Columbia
60:
44:
42:
30:
16:
15:
697:
696:
692:
691:
690:
688:
687:
686:
652:
651:
649:
647:
646:
640:
622:
618:
588:
584:
578:
564:
560:
541:
537:
529:
525:
481:
474:
466:
459:
454:
433:
383:
381:
374:
370:
344:
341:
340:
306:
305:
303:
300:
299:
226:
223:
222:
206:
162:New Westminster
154:
70:Alma mater
65:
62:
58:
49:
46:
40:
38:
21:
12:
11:
5:
695:
685:
684:
679:
674:
669:
664:
645:
644:
638:
616:
604:10.1086/257497
598:(2): 124–142,
582:
576:
558:
535:
523:
472:
456:
455:
453:
450:
432:
429:
399:
393:
389:
386:
380:
377:
373:
369:
366:
363:
360:
357:
354:
351:
348:
322:
319:
313:
310:
281:fishing effort
257:
254:
251:
248:
245:
242:
239:
236:
233:
230:
205:
202:
153:
150:
125:
124:
121:
120:
111:
107:
106:
100:
99:
96:
92:
91:
81:
80:Known for
77:
76:
71:
67:
66:
63:
61:(aged 57)
55:
51:
50:
47:
36:
32:
31:
23:
22:
19:
9:
6:
4:
3:
2:
694:
683:
680:
678:
675:
673:
670:
668:
665:
663:
660:
659:
657:
650:
641:
635:
630:
629:
620:
613:
609:
605:
601:
597:
593:
586:
579:
573:
569:
562:
554:
550:
546:
539:
532:
527:
520:
516:
511:
506:
502:
498:
494:
490:
486:
479:
477:
469:
464:
462:
457:
449:
447:
443:
439:
428:
426:
421:
419:
415:
411:
397:
391:
387:
384:
378:
375:
371:
367:
364:
361:
358:
352:
346:
338:
336:
320:
317:
311:
308:
297:
293:
290:
286:
282:
278:
274:
269:
255:
252:
249:
246:
240:
237:
234:
228:
220:
218:
215:
211:
201:
199:
195:
191:
187:
183:
179:
175:
171:
167:
163:
159:
149:
147:
143:
139:
135:
131:
122:
119:
115:
112:
108:
105:
101:
98:Isabella Long
97:
93:
90:
86:
82:
78:
75:
72:
68:
57:July 26, 1970
56:
52:
37:
33:
29:
24:
17:
648:
627:
619:
595:
591:
585:
567:
561:
555:(6): 243–285
552:
548:
538:
526:
492:
488:
437:
434:
424:
422:
417:
413:
412:
339:
334:
295:
284:
276:
272:
270:
221:
207:
155:
129:
128:
110:Institutions
103:
89:bioeconomics
59:(1970-07-26)
667:1970 deaths
662:1912 births
442:bioeconomic
656:Categories
510:1834/21257
452:References
289:fish stock
136:– 1970 in
41:1912-12-14
612:222437331
519:189885665
379:−
312:˙
186:fisheries
146:fisheries
132:(1912 in
64:San Diego
214:Verhulst
292:biomass
636:
610:
574:
517:
287:, the
279:, the
170:Canada
152:Career
95:Spouse
608:S2CID
515:S2CID
634:ISBN
572:ISBN
416:and
54:Died
35:Born
600:doi
505:hdl
497:doi
160:in
144:of
658::
632:,
606:,
596:62
594:,
570:,
551:,
547:,
513:,
503:,
491:,
487:,
475:^
460:^
337::
200:.
168:,
164:,
148:.
116:,
87:,
602::
553:2
507::
499::
493:1
418:K
414:r
398:)
392:r
388:E
385:q
376:1
372:(
368:E
365:K
362:q
359:=
356:)
353:E
350:(
347:H
335:E
321:0
318:=
309:X
296:q
285:X
277:E
273:H
256:X
253:E
250:q
247:=
244:)
241:X
238:,
235:E
232:(
229:H
43:)
39:(
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
