Why a Population Converges to Stability

1247 12 1276 2 2522 document 1276 RR-80-019.pdf application/pdf 48fc8c09be977b71aa5942367445b6d4 MD5 269219 2016-01-15 01:47:16 https://pure.iiasa.ac.at/id/eprint/1247/1/RR-80-019.pdf 1247 1 1 text en public

RR-80-019.pdf

14 26174 1 37906 document 26174 indexcodes.txt text/x-pascal 4a140ad9389bc5bdeaf50dbe598b6910 MD5 5010 2016-01-15 19:54:10 https://pure.iiasa.ac.at/id/eprint/1247/2/indexcodes.txt 1247 2 2 text/x-pascal other Generate index codes conversion from text to indexcodes en public

indexcodes.txt

http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/1276 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/1276 http://eprints.org/relation/isIndexCodesVersionOf https://pure.iiasa.ac.at/id/document/1276 26177 2 37909 document 26177 lightbox.jpg image/png cdad653e653673e952831ca25bac97b0 MD5 6788 2016-01-15 19:54:38 https://pure.iiasa.ac.at/id/eprint/1247/3/lightbox.jpg 1247 3 3 image/png other Thumbnails conversion from text to thumbnail_lightbox en public

lightbox.jpg

http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/1276 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/1276 http://eprints.org/relation/islightboxThumbnailVersionOf https://pure.iiasa.ac.at/id/document/1276 26178 2 37910 document 26178 preview.jpg image/png c16c1c1312578e0500dd9f307629f7c0 MD5 3233 2016-01-15 19:54:38 https://pure.iiasa.ac.at/id/eprint/1247/4/preview.jpg 1247 4 4 image/png other Thumbnails conversion from text to thumbnail_preview en public

preview.jpg

http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/1276 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/1276 http://eprints.org/relation/ispreviewThumbnailVersionOf https://pure.iiasa.ac.at/id/document/1276 26179 2 37911 document 26179 medium.jpg image/png 4693517879d63594ad24363c02a70a4f MD5 1149 2016-01-15 19:54:39 https://pure.iiasa.ac.at/id/eprint/1247/5/medium.jpg 1247 5 5 image/png other Thumbnails conversion from text to thumbnail_medium en public

medium.jpg

http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/1276 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/1276 http://eprints.org/relation/ismediumThumbnailVersionOf https://pure.iiasa.ac.at/id/document/1276 26180 2 37912 document 26180 small.jpg image/png 51a6bf944ab7b59385b48280cc13e599 MD5 698 2016-01-15 19:54:40 https://pure.iiasa.ac.at/id/eprint/1247/6/small.jpg 1247 6 6 image/png other Thumbnails conversion from text to thumbnail_small en public

small.jpg

http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/1276 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/1276 http://eprints.org/relation/issmallThumbnailVersionOf https://pure.iiasa.ac.at/id/document/1276 70103 2 193592 document 70103 RR-80-019.pdf application/pdf 958625c4ab89988be62b5899fcc2511f MD5 476336 2016-08-16 02:06:22 https://pure.iiasa.ac.at/id/eprint/1247/7/RR-80-019.pdf 1247 7 7 application/pdf other Coversheet Pages conversion from text to application/pdf en public

RR-80-019.pdf

http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/1276 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/1276 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/1276 archive 351 disk0/00/00/12/47 2016-01-15 01:47:16 2021-08-27 17:09:37 2016-01-15 01:47:16 monograph show 3 Arthur W.B. 518 Why a Population Converges to Stability pub iis_met iis_pop prog_sds A central theorem in mathematical demography tells us that the age distribution of a closed population with unchanging fertility and mortality behavior must converge to a fixed and stable form. Proofs rely on ready-made theorems borrowed from linear algebra or from asymptotic transform theory, notably the Perron-Frobenius and the Tauberian theorems. But while these are efficient and expedient, they give little insight into the mechanisms that forces the age distribution to converge. This paper proposes a simple argument for convergence. An elementary device allows us to view the birth sequence as the product of an exponential sequence and a weighted smoothing process. Smoothing progressively damps out the peaks and hollows in the initial birth sequence; thus the birth sequence gradually becomes exponential, and this forces the age distribution to assume a fixed and final form. 1980-04 published RR-80-019 RR-80-019 10 1694 public research_report IIASA, Laxenburg, Austria 16 TRUE FALSE info:eu-repo/semantics/book