Homepage of
Jan Karman
Middelburg (Neth)

Design & Copyright
Jan Karman
Last revised: November 2016

Migration and migrants

International migration is a major factor of demographic and social change and for an increasing number of countries, international migration has become the most important factor of population growth. As a result European populations are becoming more diverse than ever before. Our research focuses both on migration flows in a macro perspective to better understand European migration patterns, as well as on migrant behavior at the micro level. Emphasis is put on the demographic and socio-economic position of migrants and the demographic dynamics in migrant families, applying the life course approach to complete the wealth of studies on the structural and cultural position of migrants. See more


Otium cum dignitate

"Organizing chaos"

Graduation of Mortality
(from: samples | K | Show | Mortality)
Free Download (193Kb)
See also: Most recent article

Mortality tables are usually graduated for either practical or scientific purposes. The formulae, in which the mortality is expressed as a function of x (= age) are often of the type (Makeham's law):
   mx = A + B.cx (force of mortality)
with A, B and c as parameters. Finding the values of those parameters from the crude material is the hard part.
King-Hardy's method is a suitable way to transform this power function into a linear equation system; it is solved here by way of a least square K-runtime function.
See also E.Zwinggi - Versicherungsmathematik
When invoked, one will find four controls in the bottom part. The first two controls act like a spinbox, the two right most controls simulate the Windows-locator. The challenge is to find as large as possible ranges for making the "law" valid.
Later, famous methods came from Th.N. Thiele, published posthumously in 1910, and recent approaches and remarks can be found in W.J. Willemse

Recommended for Africa:
G.M.K. Kpedekpo - Essentials of Demographic Analysis for Africa

Jan Karman LinkedIn
Middelburg (Neth), November 2006

My music
 Recent Compositions
 My harpsichord
Grand Fugue
Actuarial & financial applications:
 Actuarial Factors
 Annuity Loan
 Graduation of Mortality
 Profit & Loss in Stocks
 The Price of Bonds
 Afronding van sterftetafels
 Ausgleichung von Sterbetafeln
Art Gallery Orsmaal
De Vleeshal Middelburg