The Refractory Model: The Logistic Curve and the History of Population Ecology

Kingsland, Sharon

doi:10.1086/412574

Cited by 158 publications

(76 citation statements)

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“…We note that in the field of population biology/ecology from which the logistic model was originally developed (22), all data were actually based on stock indictors (e.g., population of humans, animals, or bacteria) rather than flow indicators (e.g., growth or birth of population). Using stock indicators for the present study provides several advantages.…”

Section: Discussionmentioning

confidence: 99%

In-use product stocks link manufactured capital to natural capital

Chen

Graedel

2015

Proc. Natl. Acad. Sci. U.S.A.

127

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In-use stock of a product is the amount of the product in active use. In-use product stocks provide various functions or services on which we rely in our daily work and lives, and the concept of inuse product stock for industrial ecologists is similar to the concept of net manufactured capital stock for economists. This study estimates historical physical in-use stocks of 91 products and 9 product groups and uses monetary data on net capital stocks of 56 products to either approximate or compare with in-use stocks of the corresponding products in the United States. Findings include the following: (i) The development of new products and the buildup of their in-use stocks result in the increase in variety of in-use product stocks and of manufactured capital; (ii) substitution among products providing similar or identical functions reflects the improvement in quality of in-use product stocks and of manufactured capital; and (iii) the historical evolution of stocks of the 156 products or product groups in absolute, per capita, or per-household terms shows that stocks of most products have reached or are approaching an upper limit. Because the buildup, renewal, renovation, maintenance, and operation of in-use product stocks drive the anthropogenic cycles of materials that are used to produce products and that originate from natural capital, the determination of in-use product stocks together with modeling of anthropogenic material cycles provides an analytic perspective on the material linkage between manufactured capital and natural capital.in-use stocks | manufactured capital | industrial ecology | sustainability

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Section: Discussionmentioning

confidence: 99%

In-use product stocks link manufactured capital to natural capital

Chen

Graedel

2015

Proc. Natl. Acad. Sci. U.S.A.

127

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“…Although this equation has been employed in many disciplines, it was originally designed to study the growth of populations with an intrinsic growth rate r and a saturation level K (for historical notes on this equation, see [24,35]). It is this framework of population dynamics the one we are interested in.…”

Section: Introductionmentioning

confidence: 99%

Delayed logistic population models revisited

Liz¹

2014

Publicacions Matemàtiques

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Abstract:We discuss the global dynamics of some logistic models governed by delaydifferential equations. We focus on models of exploited populations, and study the changes in the dynamics as the harvesting effort is increased. We get new results and highlight the link among different logistic equations usually employed in population models.2010 Mathematics Subject Classification: 34K18, 34K20, 92D25.

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“…Armed with this very simple mathematical technique (see Appendix and references [2][3][4][5] for further details), let us look at how efficient the system is in removing the obstacles to the expression of longevity in large human populations. I have measured Fig.…”

Section: Methodsmentioning

confidence: 99%

Longevity and life expectancy

Marchetti

1997

Technological Forecasting and Social Change

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The increase in life expectancy at all ages during the last two centuries is in need of a quantitative model capable of resuming the whole process under a single concept and simple mathematics. The basic hypothesis was that through improved hygiene, medicine, and life-style, the stumbling blocks to the full expression of longevity were progressively removed. The mathematics of learning processes was then applied to the secular evolution of life expectancy at various ages. The hypothesis proved very fertile . Logistic equations fit long strings of statistical data, covering the evolution of life expectancy at various ages, for both sexes, and in many European nations for almost two centuries. These life expectancy increases seem to move progressively to a common asymptote of about 79 years for men and about 84 years for women . It is suggested that these values are taken as a definition of longevity, presumably explicitating a coding in DNA. The evolution of life expectancy during the last couple of centuries appears to follow consistent paths precisely mapped with simple mathematics. This opens the way to more integrated and holistic theories . . © 1997 Elsevier Science Inc.

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The Refractory Model: The Logistic Curve and the History of Population Ecology

Cited by 158 publications

References 0 publications

In-use product stocks link manufactured capital to natural capital

In-use product stocks link manufactured capital to natural capital

Delayed logistic population models revisited

Longevity and life expectancy

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