title: Migration, relationship capital and international travel: theory and evidence

authors: McCann, Philip

subjects: international migration

abstract: In this article we consider how international migration is related to the frequency and duration of trips to the home country. For many migrants, international migration triggers a series of trips to visit the home country that allow for a replenishment of the depleted relationship capital with family and friends back home, but these trips incur travel costs and foregone earnings. Given plausible assumptions about the depreciation and replenishment of home country relationship capital, a steady-state level of average maintained relationship capital implies that the optimized travel frequency is inversely related to the distance and the transportation costs, and positively related to the psychological costs of separation. The total time spent at home is increasing in the trip frequency, but with an elasticity that is decreasing in cultural proximity. Empirical evidence in support of these theoretical predictions is found in a unique longitudinal sample of international travel of 13,674 New Zealand citizens and 6882 UK citizens who migrated to Australia between 1 August 1999 and 31 July 2000.

text: Migration, relationship capital and international travel: theory and evidence In this article we consider how international migration is related to the frequency and duration of trips to the home country. For many migrants, international migration triggers a series of trips to visit the home country that allow for a replenishment of the depleted relationship capital with family and friends back home, but these trips incur travel costs and foregone earnings. Given plausible assumptions about the depreciation and replenishment of home country relationship capital, a steady-state level of average maintained relationship capital implies that the optimized travel frequency is inversely related to the distance and the transportation costs, and positively related to the psychological costs of separation. The total time spent at home is increasing in the trip frequency, but with an elasticity that is decreasing in cultural proximity. Empirical evidence in support of these theoretical predictions is found in a unique longitudinal sample of international travel of 13,674 New Zealand citizens and 6882 UK citizens who migrated to Australia between 1 August 1999 and 31 July 2000.

year: 2010

title: Families of Orthogonal and Biorthogonal Polynomials on the N-Sphere

authors: Kalnins, Ernie G.

subjects: Science & Technology

abstract: The Laplace–Beltrami eigenvalue equation $H\Phi = \lambda \Phi $ on the n-sphere is studied, with an added vector potential term motivated by the differential equations for the polynomial Lauricella functions $F_A $. The operator H is self adjoint with respect to the natural inner product induced on the sphere and, in certain special coordinates, it admits a spectral decomposition with eigenspaces composed entirely of polynomials. The eigenvalues are degenerate but the degeneracy can be broken through use of the possible separable coordinate systems on the n-sphere. Then a basis for each eigenspace can be selected in terms of the simultaneous eigenfunctions of a family of commuting second-order differential operators that also commute with H. The results provide a multiplicity of n-variable orthogonal and biorthogonal families of polynomials that generalize classical results for one and two variable families of Jacobi polynomials on intervals, disks, and paraboloids.

text: Families of Orthogonal and Biorthogonal Polynomials on the N-Sphere The Laplace–Beltrami eigenvalue equation $H\Phi = \lambda \Phi $ on the n-sphere is studied, with an added vector potential term motivated by the differential equations for the polynomial Lauricella functions $F_A $. The operator H is self adjoint with respect to the natural inner product induced on the sphere and, in certain special coordinates, it admits a spectral decomposition with eigenspaces composed entirely of polynomials. The eigenvalues are degenerate but the degeneracy can be broken through use of the possible separable coordinate systems on the n-sphere. Then a basis for each eigenspace can be selected in terms of the simultaneous eigenfunctions of a family of commuting second-order differential operators that also commute with H. The results provide a multiplicity of n-variable orthogonal and biorthogonal families of polynomials that generalize classical results for one and two variable families of Jacobi polynomials on intervals, disks, and paraboloids.

year: 1991

title: Accommodating multiculturalism and biculturalism in Aotearoa New Zealand: implication for language education.

authors: May, Stephen

subjects: bilingual education

abstract: The field of language education in Aotearoa New Zealand, as elsewhere, has developed significantly since its early and almost exclusive focus on the acquisition of English literacy in schools. As the field has expanded, so too has the range of language education sectors addressed and the theoretical approaches and understandings employed in relation to language and literacy education. Both developments have resulted in a more coordinated literacy education policy - exemplified to date most clearly in the New Zealand Literacy Taskforce - and a more situated, less monolithic understanding of the widely different literacies available to learners. Despite these developments, however, one area still remains noticeably under-theorised and marginalized in relation to the ongoing development of language and literacy education policy in Aotearoa New Zealand - the place of second language learners within it. This paper explores this lacuna and the potential policy implications of addressing and integrating first and second language educational concerns within an evolving national literacy education policy. This has particular implications for the further development of bilingual education - both for Maori and, possibly, other minority groups - and for the related possibilities of multicultural education. It also requires a wider and clearer recognition of minority language education rights, as developed within both international law and political theory, in order to apply these rights appropriately to an Aotearoa New Zealand context which is currently witnessing rapid and extensive demographic (and linguistic) change.

text: Accommodating multiculturalism and biculturalism in Aotearoa New Zealand: implication for language education. The field of language education in Aotearoa New Zealand, as elsewhere, has developed significantly since its early and almost exclusive focus on the acquisition of English literacy in schools. As the field has expanded, so too has the range of language education sectors addressed and the theoretical approaches and understandings employed in relation to language and literacy education. Both developments have resulted in a more coordinated literacy education policy - exemplified to date most clearly in the New Zealand Literacy Taskforce - and a more situated, less monolithic understanding of the widely different literacies available to learners. Despite these developments, however, one area still remains noticeably under-theorised and marginalized in relation to the ongoing development of language and literacy education policy in Aotearoa New Zealand - the place of second language learners within it. This paper explores this lacuna and the potential policy implications of addressing and integrating first and second language educational concerns within an evolving national literacy education policy. This has particular implications for the further development of bilingual education - both for Maori and, possibly, other minority groups - and for the related possibilities of multicultural education. It also requires a wider and clearer recognition of minority language education rights, as developed within both international law and political theory, in order to apply these rights appropriately to an Aotearoa New Zealand context which is currently witnessing rapid and extensive demographic (and linguistic) change.

year: 2002