Jussi Laitila

Identification of policies for a sustainable legal trade in rhinoceros horn based on population projection and socioeconomic models.

Between 1990 and 2007, 15 southern white (Ceratotherium simum simum) and black (Diceros bicornis) rhinoceroses on average were killed illegally every year in South Africa. Since 2007 illegal killing of southern white rhinoceros for their horn has escalated to >950 individuals/year in 2013. We conducted an ecological–economic analysis to determine whether a legal trade in southern white rhinoceros horn could facilitate rhinoceros protection. Generalized linear models were used to examine the socioeconomic drivers of poaching, based on data collected from 1990 to 2013, and to project the total number of rhinoceroses likely to be illegally killed from 2014 to 2023. Rhinoceros population dynamics were then modeled under 8 different policy scenarios that could be implemented to control poaching. We also estimated the economic costs and benefits of each scenario under enhanced enforcement only and a legal trade in rhinoceros horn and used a decision support framework to rank the scenarios with the objective of maintaining the rhinoceros population above its current size while generating profit for local stakeholders. The southern white rhinoceros population was predicted to go extinct in the wild <20 years under present management. The optimal scenario to maintain the rhinoceros population above its current size was to provide a medium increase in antipoaching effort and to increase the monetary fine on conviction. Without legalizing the trade, implementing such a scenario would require covering costs equal to approximately

A method for calculating minimum biodiversity offset multipliers accounting for time discounting, additionality and permanence

147,000,000/year. With a legal trade in rhinoceros horn, the conservation enterprise could potentially make a profit of

Weighted Composition Operators on BMOA

717,000,000/year. We believe the 35-year-old ban on rhinoceros horn products should not be lifted unless the money generated from trade is reinvested in improved protection of the rhinoceros population. Because current protection efforts seem to be failing, it is time to evaluate, discuss, and test alternatives to the present policy. El Grano de los Datos de Costo Económico con Referencia Espacial y de Beneficio a la Biodiversidad y la Efectividad de una Estrategia de Determinación de Costos Resumen Entre 1990 y 2007, en promedio fueron cazados ilegalmente cada año 15 rinocerontes sureños blancos (Ceratotherium simum simum) y negros (Diceros bicornis) en Sudáfrica. Desde 2007 la caza ilegal de rinocerontes sureños blancos por su cuerno ha escalado a más de 950 individuos al año en 2013. Llevamos a cabo un análisis ecológico-económico para determinar si el comercio legal de cuerno de rinoceronte sureño blanco podría facilitar la protección del rinoceronte. Se usaron modelos lineales generalizados para examinar a los conductores socio-económicos de la caza furtiva, con base en datos colectados desde 1990 hasta 2013, y también para proyectar el número total de rinocerontes con probabilidad de ser cazados ilegalmente desde 2014 hasta 2023. Las dinámicas poblacionales de los rinocerontes fueron entonces modeladas bajo ocho escenarios políticos diferentes que podrían implementarse para controlar la caza furtiva. También estimamos los costos económicos y los beneficios de cada escenario solamente bajo la ejecución aumentada del plan de manejo y el comercio legal de cuerno de rinoceronte y usamos un marco de trabajo de apoyo a decisiones para ordenar los escenarios con el objetivo de mantener la población de rinocerontes por encima de su tamaño actual mientras se generan ganancias para los accionistas locales. Se predijo que la población de rinocerontes sureños blancos se extinguiría en menos de 20 años bajo el manejo actual. El escenario óptimo para mantener la población de rinocerontes por encima de su tamaño actual fue el de proporcionar un incremento mediano en el esfuerzo contra la caza furtiva e incrementar la multa monetaria de la condena. Sin legalizar el mercado, implementar tal escenario requeriría cubrir costos de aproximadamente

FORUM: Indirect leakage leads to a failure of avoided loss biodiversity offsetting

147, 000, 000 al año. Con un comercio legal de cuerno de rinoceronte, la iniciativa de conservación podría ganar potencialmente

Rigidity of composition operators on the Hardy space Hp

717, 000, 000 al año. Creemos que la prohibición de 35 años de los productos de cuerno de rinoceronte no debería ser levantada a menos que el dinero generado de este comercio sea reinvertido en la protección mejorada de la población de rinocerontes. Ya que los esfuerzos de protección actuales parecen estar fallando, es momento de evaluar, discutir y probar alternativas a la política actual.

Composition operators on vector-valued analytic function spaces

Biodiversity offsetting, which means compensation for ecological and environmental damage caused by development activity, has recently been gaining strong political support around the world. One common criticism levelled at offsets is that they exchange certain and almost immediate losses for uncertain future gains. In the case of restoration offsets, gains may be realized after a time delay of decades, and with considerable uncertainty. Here we focus on offset multipliers, which are ratios between damaged and compensated amounts (areas) of biodiversity. Multipliers have the attraction of being an easily understandable way of deciding the amount of offsetting needed. On the other hand, exact values of multipliers are very difficult to compute in practice if at all possible. We introduce a mathematical method for deriving minimum levels for offset multipliers under the assumption that offsetting gains must compensate for the losses (no net loss offsetting). We calculate absolute minimum multipliers that arise from time discounting and delayed emergence of offsetting gains for a one-dimensional measure of biodiversity. Despite the highly simplified model, we show that even the absolute minimum multipliers may easily be quite large, in the order of dozens, and theoretically arbitrarily large, contradicting the relatively low multipliers found in literature and in practice. While our results inform policy makers about realistic minimal offsetting requirements, they also challenge many current policies and show the importance of rigorous models for computing (minimum) offset multipliers. The strength of the presented method is that it requires minimal underlying information. We include a supplementary spreadsheet tool for calculating multipliers to facilitate application.

New performance guarantees for the greedy maximization of submodular set functions

Let ψ and φ be analytic functions on the unit disk D such that φ(D) ⊂ D. We characterize the boundedness and compactness of the weighted composition operators f ↦ ψ · (f oφ) on BMOA, the space of analytic functions on D that have bounded mean oscillation on ∂D, and its subspace VMOA. We also provide estimates for the norm of a weighted composition operator on BMOA and its essential norm on VMOA. Finally, we use the above results to show that boundedness or compactness of a weighted composition operator on BMOA implies its boundedness or compactness on the Bloch space B, respectively.

Weighted composition operators between weak spaces of vector-valued analytic functions

Summary Biodiversity offsetting has quickly gained political support all around the world. Avoided loss (averted risk) offsetting means compensation for ecological damage via averted loss of anticipated impacts through the removal of threatening processes in compensation areas. Leakage means the phenomenon of environmentally damaging activity relocating elsewhere after being stopped locally by avoided loss offsetting. Indirect leakage means that locally avoided losses displace to other administrative areas or spread around diffusely via market effects. Synthesis and applications. Indirect leakage can lead to high net biodiversity loss. It is difficult to measure or prevent, raising doubts about the value of avoided loss offsetting. Market demand for commodities is on the rise, following increasing human population size and per capita consumption, implying that indirect leakage will be a rule rather than an exception. Leakage should be accounted for when determining offset multipliers (ratios) even if multipliers become extremely high.

Compact and Weakly Compact Composition Operators on BMOA

Abstract Let ϕ be an analytic map taking the unit disk D into itself. We establish that the class of composition operators f ↦ C ϕ ( f ) = f ∘ ϕ exhibits a rather strong rigidity of non-compact behaviour on the Hardy space H p , for 1 ≤ p ∞ and p ≠ 2 . Our main result is the following trichotomy, which states that exactly one of the following alternatives holds: (i) C ϕ is a compact operator H p → H p , (ii) C ϕ fixes a (linearly isomorphic) copy of l p in H p , but C ϕ does not fix any copies of l 2 in H p , (iii) C ϕ fixes a copy of l 2 in H p . Moreover, in case (iii) the operator C ϕ actually fixes a copy of L p ( 0 , 1 ) in H p provided p > 1 . We reinterpret these results in terms of norm-closed ideals of the bounded linear operators on H p , which contain the compact operators K ( H p ) . In particular, the class of composition operators on H p does not reflect the quite complicated lattice structure of such ideals.

Isometric composition operators on BMOA

We survey recent results about composition operators induced by analytic self-maps of the unit disk in the complex plane on various Banach spaces of analytic functions taking values in infinite-dimensional Banach spaces. We mostly concentrate on the research line into qualitative properties such as weak compactness, initiated by Liu, Saksman and Tylli (1998), and continued in several other papers. We discuss composition operators on strong, respectively weak, spaces of vector-valued analytic functions, as well as between weak and strong spaces. As concrete examples, we review more carefully and present some new observations in the cases of vector-valued Hardy and BMOA spaces, though the study of composition operators has been extended to a wide range of spaces of vector-valued analytic functions, including spaces defined on other domains. Several open problems are stated.