Replication of the Demographic Prisoner’s Dilemma

This paper documents our efforts in replicating Epstein’s (1998) demographic prisoner’s dilemma model. While, qualitatively speaking, our replicated model resembles the results of the original model reasonably well, statistical testing reveals that in quantitative terms our endeavor was only partially successful. This fact hints towards some unstated assumptions regarding the original model. Confronted with a number of ambiguous descriptions of model features we introduce a method for systematically generating a large number of model replications and testing for their equivalence to the original model. With the help of this approach we show that the original model was probably based on a number of dubious assumptions. Finally we conduct a number of statistical tests with respect to the influence of certain design choices like the method of updating, the timing of events and the randomization of the activation order. The results of these tests highlight the importance of an explicit documentation of design choices and especially of the timing of events.Demographic, Prisoner’s Dilemma, Replication, Simulation, Complex Adaptive Systems, Social Science Models

Prospects and Pitfalls of Statistical Testing: Insights from Replicating the Demographic Prisoner's Dilemma

This paper documents our efforts (and troubles) in replicating Epstein's (1998) demographic prisoner's dilemma model. Confronted with a number of ambiguous descriptions of model features we introduce a method for systematically generating a large number of model replications and testing for their equivalence to the original model. While, qualitatively speaking, a number of our replicated models resemble the results of the original model reasonably well, statistical testing reveals that in quantitative terms our endeavor was only partially successful. This fact hints towards some unstated assumptions regarding the original model. Finally we conduct a number of statistical tests with respect to the influence of certain design choices like the method of updating, the timing of events and the randomization of the activation order. The results of these tests highlight the importance of an explicit documentation of design choices and especially of the timing of events. A central lesson learned from this exercise is that the power of statistical replication analysis is to a large degree determined by the available data.Agent-Based Model, Verification, Comparative Computational Methodology, Prisoners Dilemma, Replication, Demographic Prisoners Dilemma

The space of metrics of positive scalar curvature

We study the topology of the space of positive scalar curvature metrics on high dimensional spheres and other spin manifolds. Our main result provides elements of infinite order in higher homotopy and homology groups of these spaces, which, in contrast to previous approaches, are of infinite order and survive in the (observer) moduli space of such metrics. Along the way we construct smooth fiber bundles over spheres whose total spaces have non-vanishing A-hat-genera, thus establishing the non-multiplicativity of the A-hat-genus in fibre bundles with simply connected base.Comment: 24 pages, v2: minor additions and corrections, based in particular on comments of referees, v3: minor corrections, final version, to appear in Publ.Math. IHE

UML-F: A Modeling Language for Object-Oriented Frameworks

The paper presents the essential features of a new member of the UML language family that supports working with object-oriented frameworks. This UML extension, called UML-F, allows the explicit representation of framework variation points. The paper discusses some of the relevant aspects of UML-F, which is based on standard UML extension mechanisms. A case study shows how it can be used to assist framework development. A discussion of additional tools for automating framework implementation and instantiation rounds out the paper.Comment: 22 pages, 10 figure

New approaches for removing the Si-OH layer of biogenic silica before analysing oxygen isotopes - Helium Flow Dehydration (HFD) and Vacuum Bead Melting (VBM) technique

The analysis of oxygen isotopes from diatom silica (&#948;18OSi) in sediment cores has obtained importance for palaeoclimate reconstruction especially where carbonate proxies are either rare or not available. Compared to the widely accepted relation of oxygen isotopes of carbonate origin to climate-relevant parameters, challenges still occur using biogenic silica. These questions arise at sample preparation as well as and the analysis itself, but are especially related to the removal of loosely bound oxygen of the hydrous layer. It is the common view that diatoms consist of an isotopically homogenous inner Si-O-Si layer and a less dense, hydrous layer forming Si-OH bonds, which has to be removed from the sample prior to analysis. Three methods have been accepted so far to perform this step: Controlled Isotopic Exchange (CIE) followed by fluorination, Stepwise Fluorination (SWF) and inductive High-Temperature carbon reduction (iHTR). The former method of vacuum dehydration (VD) proved to be unable to remove all exchangeable oxygen.Here, a new, remotely-operated laser-fluorination based mass spectrometry unit is used for the analysis. The silica is reacted with a CO2 laser in a BrF5 atmosphere and oxygen is then transferred to and analysed in a mass spectrometer (PDZ Europa 20-20). As CIE is both time-consuming and work-intense and SWF is impractical for this setup mainly due to the high pressure increase during dehydration, a new, efficient and fast method should be developed to remove the hydrous layer using the laser-fluorinationprocess.Two approaches were tested to remove the Si-OH layer and the impact on &#948;18OSi was assessed by performing tests on internal standard materials of marine and lacustrine biogenic silica and of quartz. For VBM, a minimum of 1.5 mg of pure sample is melted to a bead with a defocused laser to eliminate the hydrous outer layer and to reduce the surface. After the bead has formed it is transferred into the reaction chamber completely reacted with a focused laser under BrF5 atmosphere and subsequently analysed on-line.The second method, HFD is an improvement of the outdated VD technique. The sample is heated to 1050°C in a He flow transporting away any removed exchangeable oxygen immediately and thus, not allowing it to re-react with the sample. Various tests have been performed considering pre-heating at 200°C, He flow adjustments and the time of the sample exposed to 1050°C.VBM has difficulties to fully remove the hydrous layer, which results in comparatively lower &#948;18O values. The final set-up was not found yet. The HFD generated similar data than SWF in other laboratories with a high reproducibility and accuracy (standard deviation <0.2 ). Best results could be achieved by pre-heating the sample at 200°C and later on expose it for 15 minutes under a Helium counter flow at 1050°C. Experience with both techniques will be discussed and the reliability of the data compared to other methods