Statistics for Spatial Data.

A link exists between global warming and the worldwide proliferation of harmful cyanobacterial blooms.

https://science.sciencemag.org/content/sci/320/5872/57.full.pdf

Blooms like it hot

 Many atmospheric chemicals occur in the gas phase as well as in liquid cloud droplets and aerosol particles Therefore, it is necessary to understand the distribution between the phases According to Henry's law, the equilibrium ratio between the abundances in the gas phase and in the aqueous phase is constant for a dilute solution Henry's law constants of trace gases of potential importance in environmental chemistry have been collected and converted into a uniform format The compilation contains 17 350 values of Henry's law constants for 4632 species, collected from 689 references It is also available at http://wwwhenrys-laworg 

/pdf/compilation-of-henry-s-law-constants-version-4-0-for-water-58il9q0ogv.pdf

Compilation of Henry's law constants (version 4.0) for water as solvent

The rise of harmful cyanobacteria blooms: The potential roles of eutrophication and climate change

PROMETHEE: A comprehensive literature review on methodologies and applications

Cylindrospermopsis raciborskii, an invasive freshwater cyanobacterium, originated from the tropics but has spread to temperate zones over the last few decades. Its northernmost populations in Europe occur in North German lakes. How such dramatic changes in its biogeography are possible and how its population dynamics in the newly invaded habitats are regulated are still unexplained. We therefore conducted a long-term (1993–2005) study of two German lakes to elucidate the mechanisms behind C. raciborskii population dynamics and to identify the abiotic constraints on its development. Our data revealed that pelagic populations of C. raciborskii thrived for three months during the summer, contributing up to 23% of the total cyanobacteria biovolume. Population sizes varied greatly between years without exhibiting any distinct long-term trends. In the annual lifecycle, C. raciborskii filaments emerged in the pelagic habitat when the temperature rose above 15–17 °C. At that time, mean photosynthetically active radiation in the mixed water column (Imix) overstepped its maximum. Rates of population net increase were highest at the beginning of the season (0.15–0.28 day−1), declined continuously over time, and were significantly positively correlated with Imix. This indicates that the onset of the pelagic population is temperature-mediated and that Imix controls its growth. Since Imix peaks before the population onset, the time of germination is of crucial importance for successful development. To test this hypothesis, we designed a model to simulate pelagic population size, starting at different dates in the annual cycle. Moving the population onset forward by 30 days resulted in a doubling of the population size. We therefore conclude that an earlier rise in water temperature associated with climate change has promoted the spread of C. raciborskii to the temperate zone. Earlier warming permits earlier germination, thereby shifting the pelagic populations to a phase with higher Imix, which advances growth and the population establishment.

Climate change affects timing and size of populations of an invasive cyanobacterium in temperate regions.

This paper continues the series of publications about applications of partial ordering. The focus of this publication is the derivation of approximate analytical expressions for the averaged rank and the ranking probabilities. To derive such combinatorial formulas a local partial order is suggested as an approximation. The performance of the approximation is rather high; we therefore conclude that three very simple descriptors of the local partial order seem to be sufficient to get a rough impression of the linear order, induced by the averaged ranks and the ranking probabilities of empirical partially ordered sets. Linear order derived from the partial order, ranking probabilities, and other characteristics are considered as parts of a so-called “General Ranking Model” (GRM). Following the local partial order, the averaged rank of an object x can be estimated applying the following simple formula:  Rkav = (S+1)*(N+1)/(N+1−U). S is the number of successors of the object x, N is the total number of objects...

Estimation of Averaged Ranks by a Local Partial Order Model

Henry's law constants for a diverse set of organic chemicals: Experimental determination and comparison of estimation methods

Preface.- Why Prioritization, Why Ranking.- Partial Order and Hasse Diagrams.- Simple Combinatorial Structures.- Sensitivity and Ambiguity.- Structures of Partial Orders.- Hasse Diagrams Based on Transformed Data Matrices.- Reducing the Number of Incomparabilities.- Formal Concept Analysis.- Methods to Obtain Linear or Weak Orders by Means of Partial Order.- Comparison of Partial, Linear and Weak Orders.- Illustrative Case Studies.- Case Studies: Child Development (Sociology).- Case Study: Stream Channel Stability Infrastructure at Bridge Crossings (Engineering Sciences).- Case Study: Watersheds Analysis (Hydrology).- Case Study: Environmental Performance Index (EPI) (Human and Environmental Health).- Partial Order and Related Disciplines.- Partial Order and Software.- Ranking and Prioritization with Partial Order for Multi-Indicator Systems - An Integrative View with a Look Forward.- Appendix.- Index.

Rainer Brüggemann

Papers

Climate change affects timing and size of populations of an invasive cyanobacterium in temperate regions.

Estimation of Averaged Ranks by a Local Partial Order Model

Henry's law constants for a diverse set of organic chemicals: Experimental determination and comparison of estimation methods

Ranking and Prioritization for Multi-indicator Systems: Introduction to Partial Order Applications

Half-lives of tetra-, penta-, hexa-, hepta-, and octachlorodibenzo-p-dioxin in rats, monkeys, and humans--a critical review.