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"History Mathematical models."
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Wassily Leontief and Input-Output Economics
2004
Wassily Leontief (1905–1999) was the founding father of input-output economics, for which he received the Nobel Prize in 1973. This book offers a collection of papers in memory of Leontief by his students and close colleagues. The first part, 'Reflections on Input-Output Economics', focuses upon Leontief as a person and scholar as well as his personal contributions to economics. It includes contributions by Nobel Laureate Paul A. Samuelson who shares his memories of a young Professor Leontief at Harvard and ends with the last joint interview with Wassily and his wife, to date previously unpublished. The second part, 'Perspectives of Input-Output Economics', includes theoretical and empirical research inspired by Leontief's work and offers a wide-ranging sample of the state of interindustry economics, a field Leontief founded. This is a strong collection likely to appeal to a wide range of professionals in universities, government, industry and international organizations.
Historical dynamics : why states rise and fall
\"Taking up the problem of territorial dynamics - why some polities at certain times expand and at other times contract - this book shows that a similar research program can advance our understanding of dynamical processes in history.\" \"Peter Turchin develops hypotheses from a wide range of social, political, economic, and demographic factors: geopolitics, factors affecting collective solidarity, dynamics of ethnic assimilation/religious conversion, and the interaction between population dynamics and sociopolitical stability. He then translates these into a spectrum of mathematical models, investigates the dynamics predicted by the models, and contrasts model predictions with empirical patterns. Turchin's highly instructive empirical tests demonstrate that certain models predict empirical patterns with a high degree of accuracy. For instance, one model accounts for the recurrent waves of state breakdown in medieval and early modern Europe. And historical data confirm that ethno-nationalist solidarity produces an aggressively expansive state under certain conditions (such as in locations where imperial frontiers coincide with religious divides). The strength of Turchin's results suggests that the synthetic approach he advocates can significantly improve our understanding of historical dynamics.\"--Jacket.
New trends in geometry
by
Boi, Luciano
,
Sinigaglia, Corrado
,
Bartocci, Claudio
in
All General Interest Titles
,
BioMathematics
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Biostatistics
2011
This volume focuses on the interactions between mathematics, physics, biology and neuroscience by exploring new geometrical and topological modelling in these fields. Among the highlights are the central roles played by multilevel and scale-change approaches in these disciplines.
Dynamics in human and primate societies : agent-based modeling of social and spatial processes
by
Kohler, Timothy A.
,
Gumerman, George J.
in
Animal societies
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Animal societies -- Computer simulation
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Animal societies -- Mathematical models
2000
As part of the SFI series, this book presents the most up-to-date research in the study of human and primate societies, including recent advances in software and algorithms for modeling societies, and it is ideal for professionals in archaeology, cultural anthropology, primatology, or computer science.
Secular cycles
by
Turchin, Peter
,
Nefedov, Sergey A
in
BUSINESS & ECONOMICS
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Business cycles
,
Business cycles -- Mathematical models
2009
Many historical processes exhibit recurrent patterns of change. Century-long periods of population expansion come before long periods of stagnation and decline; the dynamics of prices mirror population oscillations; and states go through strong expansionist phases followed by periods of state failure, endemic sociopolitical instability, and territorial loss. Peter Turchin and Sergey Nefedov explore the dynamics and causal connections between such demographic, economic, and political variables in agrarian societies and offer detailed explanations for these long-term oscillations--what the authors call secular cycles.
Ecological niches and geographic distributions
by
Enrique Martínez-Meyer
,
Richard G. Pearson
,
Miguel Nakamura
in
Biogeography
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Biogeography -- Mathematical models
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Biological Sciences
2011,2012
This book provides a first synthetic view of an emerging area of ecology and biogeography, linking individual- and population-level processes to geographic distributions and biodiversity patterns. Problems in evolutionary ecology, macroecology, and biogeography are illuminated by this integrative view. The book focuses on correlative approaches known as ecological niche modeling, species distribution modeling, or habitat suitability modeling, which use associations between known occurrences of species and environmental variables to identify environmental conditions under which populations can be maintained. The spatial distribution of environments suitable for the species can then be estimated: a potential distribution for the species. This approach has broad applicability to ecology, evolution, biogeography, and conservation biology, as well as to understanding the geographic potential of invasive species and infectious diseases, and the biological implications of climate change.
The authors lay out conceptual foundations and general principles for understanding and interpreting species distributions with respect to geography and environment. Focus is on development of niche models. While serving as a guide for students and researchers, the book also provides a theoretical framework to support future progress in the field.