Periodic time series modeling of environmental proxy records with guaranteed positive growth rate estimation

Identifying a periodic time-series model from environmental records, without imposing the positivity of the growth rate, does not necessarily respect the time order of the data observations. Consequently, subsequent observations, sampled in the environmental archive, can be inversed on the time axis, resulting in a non-physical signal model. In this paper an optimization technique with linear constraints on the signal model parameters is proposed that prevents time inversions. The activation conditions for this constrained optimization are based upon the physical constraint of the growth rate, namely, that it cannot take values smaller than zero. The actual constraints are defined for polynomials and first-order splines as basis functions for the nonlinear contribution in the distance-time relationship. The method is compared with an existing method that eliminates the time inversions, and its noise sensitivity is tested by means of Monte Carlo simulations. Finally, the usefulness of the method is demonstrated on the measurements of the vessel density, in a mangrove tree, Rhizophora mucronata, and the measurement of Mg/Ca ratios, in a bivalve, Mytilus trossulus.

State estimation using model order reduction for unstable systems

The problem of state estimation occurs in many applications of fluid flow. For example, to produce a reliable weather forecast it is essential to find the best possible estimate of the true state of the atmosphere. To find this best estimate a nonlinear least squares problem has to be solved subject to dynamical system constraints. Usually this is solved iteratively by an approximate Gauss–Newton method where the underlying discrete linear system is in general unstable. In this paper we propose a new method for deriving low order approximations to the problem based on a recently developed model reduction method for unstable systems. To illustrate the theoretical results, numerical experiments are performed using a two-dimensional Eady model – a simple model of baroclinic instability, which is the dominant mechanism for the growth of storms at mid-latitudes. It is a suitable test model to show the benefit that may be obtained by using model reduction techniques to approximate unstable systems within the state estimation problem.

State estimation using the particle filter with mode tracking

A particle filter is a data assimilation scheme that employs a fully nonlinear, non-Gaussian analysis step. Unfortunately as the size of the state grows the number of ensemble members required for the particle filter to converge to the true solution increases exponentially. To overcome this Vaswani [Vaswani N. 2008. IEEE Trans Signal Process 56:4583–97] proposed a new method known as mode tracking to improve the efficiency of the particle filter. When mode tracking, the state is split into two subspaces. One subspace is forecast using the particle filter, the other is treated so that its values are set equal to the mode of the marginal pdf. There are many ways to split the state. One hypothesis is that the best results should be obtained from the particle filter with mode tracking when we mode track the maximum number of unimodal dimensions. The aim of this paper is to test this hypothesis using the three dimensional stochastic Lorenz equations with direct observations. It is found that mode tracking the maximum number of unimodal dimensions does not always provide the best result. The best choice of states to mode track depends on the number of particles used and the accuracy and frequency of the observations.

Internal rents and corporate property management: a study into the use of internal rents in UK corporate organisations

Research in the late 1980s showed that in many corporate real estates users were not fully aware of the full extent of their property holdings. In many cases, not only was the value of the holdings unknown, but there was uncertainty over the actual extent of ownership within the portfolio. This resulted in a large number of corporate occupiers reviewing their property holdings during the 1990s, initially to create a definitive asset register, but also to benefit from an more efficient use of space. Good management of corporately owned property assets is of equal importance as the management of other principal resources within the company. A comprehensive asset register can be seen as the first step towards a rational property audit. For the effective, efficient and economic delivery of services, it is vital that all property holdings are utilised to the best advantage. This requires that the property provider and the property user are both fully conversant with the value of the property holding and that an asset/internal rent/charge is made accordingly. The advantages of internal rent charging are twofold. Firstly, it requires the occupying department to “contribute” an amount to the business equivalent to the open market rental value of the space that it occupies. This prevents the treating of space as a free good and, as individual profit centres, each department will then rationalise its holdings to minimise its costs. The second advantage is from a strategic viewpoint. By charging an asset rent, the holding department can identify the performance of its real estate holdings. This can then be compared to an internal or external benchmark to help determine whether the company has adopted the most efficient tenure pattern for its properties. This paper investigates the use of internal rents by UK-based corporate businesses and explains internal rents as a form of transfer pricing in the context of management and responsibility accounting. The research finds that the majority of charging organisations introduced internal rents primarily to help calculate true profits at the business unit level. However, less than 10% of the charging organisations introduced internal rents primarily to capture the return on assets within the business. There was also a sizeable element of the market who had no plans to introduce internal rents. Here, it appears that, despite academic and professional views that internal rents are beneficial in improving the efficient use of property, opinion at the business and operational level has not universally accepted this proposition.

“Financial alchemy” or a zero sum game? Real estate finance, securitisation and the UK property market

Following the US model, the UK has seen considerable innovation in the funding, finance and procurement of real estate in the last decade. In the growing CMBS market asset backed securitisations have included $2.25billion secured on the Broadgate office development and issues secured on Canary Wharf and the Trafford Centre regional mall. Major occupiers (retailer Sainsbury’s, retail bank Abbey National) have engaged in innovative sale & leaseback and outsourcing schemes. Strong claims are made concerning the benefits of such schemes – e.g. British Land were reported to have reduced their weighted cost of debt by 150bp as a result of the Broadgate issue. The paper reports preliminary findings from a project funded by the Corporation of London and the RICS Research Foundation examining a number of innovative schemes to identify, within a formal finance framework, sources of added value and hidden costs. The analysis indicates that many of the gains claimed conceal costs – in terms of market value of debt or flexibility of management – while others result from unusual firm or market conditions (for example utilising the UK long lease and the unusual shape of the yield curve). Nonetheless, there are real gains resulting from the innovations, reflecting arbitrage and institutional constraints in the direct (private) real estate market