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Whether exploring your own backyard or somewhere new, discover the freedom of the open road with Lonely Planet San Francisco Bay Area & Wine Country Road Trips. Featuring four amazing road trips, plus up-to-date advice on the destinations you'll visit along the way, explore San Francisco, Napa Valley and Sonoma County, all with your trusted travel companion. Jump in the car, turn up the tunes, and hit the road!
Inside Lonely Planet San Francisco Bay Area & Wine Country Road Trips:
The Perfect Choice: Lonely Planet San Francisco Bay Area & Wine Country Road Trips is perfect for exploring the San Francisco Bay Area in the classic American way - by road trip!
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Authors: Written and researched by Lonely Planet.
About Lonely Planet: Since 1973, Lonely Planet has become the world's leading travel media company with guidebooks to every destination, an award-winning website, mobile and digital travel products, and a dedicated traveler community. Lonely Planet covers must-see spots but also enables curious travelers to get off beaten paths to understand more of the culture of the places in which they find themselves.
The task of modelling the evolution of cities - the dynamics - is one of the major challenges of the social sciences. This book presents mathematical and computer models of urban and regional dynamics and shows how advances in computer visualisation provide new insights. Models of non-linear systems in general have three characteristics: multiple equilibria, 'path dependence' over time and phase transitions - that is, abrupt change at critical parameter values. These phenomena all exhibit themselves in reality, and it is an ongoing task to match model-based analysis with real phenomena.
There are three key features of cities and regions to be represented in models: activities at a location - residence, health, education, work and shopping; flows between locations - spatial interaction; and the structures that carry these activities - buildings, transport and communications networks. Spatial interaction and many elements of activities' location can be modelled by statistical averaging procedures, which are related to Boltzmann's methods in statistical mechanics. This is while the evolution of structure can be represented in equations that connect to the Lotka-Volterra equations in ecology.
Within this broad framework, alternative approaches can be brought to bear. This book uses entropy-maximising versions of spatial interaction models. The authors explore the dynamics in more detail, using advanced visualisation techniques. These ideas have wide potential uses, and the book illustrates this with applications in history and archaeology.
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