Planning and governance approaches for protecting World Heritage Areas: A comparison of the Great Barrier Reef and the Florida Everglades

The focus of this paper is on two World Heritage Areas: the Great Barrier Reef in Queensland, Australia and the Everglades in Florida. While both are World Heritage listed by the UNESCO, the Everglades is on the "World Heritage in Danger" list and the Great Barrier Reef could be on this list within the next year if present pressures continue. This paper examines the planning approaches and governance structures used in these two areas (Queensland and Florida) to manage the growth and development pressures. To make the analysis manageable, given the scale of these World Heritage areas, case studies at the local government level will be used: the Cairns Regional Council in Queensland and Monroe County in Florida. The case study analysis will involve three steps: (1) examination of the various plans at the federal, state, local levels that impact upon environmental quality in the Great Barrier Reef and Everglades; (2) assessing the degree to which these plans have been implemented; and (3) determine if (and how) the plans have improved environmental quality. In addition to the planning analysis we will also examine the governance structures (Lebel et al. 2006) within which planning operates. In any comparative analysis context is important (Hantrais 2009). Contextual differences between Queensland and Florida have previously been examined by Sipe, et al. (2007) and will be used as the starting point for this analysis. Our operating hypothesis and preliminary analysis suggests that the planning approaches and governance structures used in Florida and Queensland are considerably different, but the environmental outcomes may be similar. This is based, in part, on Vella (2004) who did a comparative analysis of environmental practices in the sugar industry in Florida and Queensland. This research re-examines this hypothesis and broadens the focus beyond the sugar industry to growth and development more broadly.

Detailed analysis of a conservative difference approximation for the time fractional diffusion equation

Diffusion equations that use time fractional derivatives are attractive because they describe a wealth of problems involving non-Markovian Random walks. The time fractional diffusion equation (TFDE) is obtained from the standard diffusion equation by replacing the first-order time derivative with a fractional derivative of order α ∈ (0, 1). Developing numerical methods for solving fractional partial differential equations is a new research field and the theoretical analysis of the numerical methods associated with them is not fully developed. In this paper an explicit conservative difference approximation (ECDA) for TFDE is proposed. We give a detailed analysis for this ECDA and generate discrete models of random walk suitable for simulating random variables whose spatial probability density evolves in time according to this fractional diffusion equation. The stability and convergence of the ECDA for TFDE in a bounded domain are discussed. Finally, some numerical examples are presented to show the application of the present technique.