Spatial and Sex-Specific Variation in Growth of Albacore Tuna (Thunnus alalunga) across the South Pacific Ocean

Spatial variation in growth is a common feature of demersal fish populations which often exist as discrete adult sub-populations linked by a pelagic larval stage. However, it remains unclear whether variation in growth occurs at similar spatial scales for populations of highly migratory pelagic species, such as tuna. We examined spatial variation in growth of albacore Thunnus alalunga across 90° of longitude in the South Pacific Ocean from the east coast of Australia to the Pitcairn Islands. Using length-at-age data from a validated ageing method we found evidence for significant variation in length-at-age and growth parameters (L∞ and k) between sexes and across longitudes. Growth trajectories were similar between sexes up until four years of age, after which the length-at-age for males was, on average, greater than that for females. Males reached an average maximum size more than 8 cm larger than females. Length-at-age and growth parameters were consistently greater at more easterly longitudes than at westerly longitudes for both females and males. Our results provide strong evidence that finer spatial structure exists within the South Pacific albacore stock and raises the question of whether the scale of their “highly migratory” nature should be re-assessed. Future stock assessment models for South Pacific albacore should consider sex-specific growth curves and spatial variation in growth within the stock

Batched Multi-hop Multi-key FHE from ring-LWE with Compact Ciphertext Extension

Traditional fully homomorphic encryption (FHE) schemes support computation on data encrypted under a single key. In STOC 2012, López-Alt et al. introduced the notion of multi-key FHE (MKFHE), which allows homomorphic computation on ciphertexts encrypted under different keys. In this work, we focus on MKFHE constructions from standard assumptions and propose a new construction of ring-LWE-based multi-hop MKFHE scheme. Our work is based on Brakerski-Gentry-Vaikuntanathan (BGV) FHE scheme where, in contrast, all the previous works on multi-key FHE with standard assumptions were based on Gentry-Sahai-Waters (GSW) FHE scheme. Therefore, our construction can encrypt ring elements rather than a single bit and naturally inherits the advantages in aspects of the ciphertext/plaintext ratio and the complexity of homomorphic operations. Moveover, the proposed MKFHE scheme supports the Chinese Remainder Theorem (CRT)-based ciphertexts packing technique, achieves $poly\left(k,L,\log n\right)$ computation overhead for $k$ users, circuits with depth at most $L$ and an $n$ dimensional lattice, and gives the first batched MKFHE scheme based on standard assumptions to our knowledge. Furthermore, the ciphertext extension algorithms of previous schemes need to perform complex computation on each ciphertext, while our extension algorithm just needs to generate evaluation keys for the extended scheme. So the complexity of ciphertext extension is only dependent on the number of associated parities but not on the number of ciphertexts. Besides, our scheme also admits a threshold decryption protocol from which a generalized two-round MPC protocol can be similarly obtained as prior works

Population structure of yellowfin tuna (Thunnus albacares) and bigeye tuna (T. obesus) in the Indonesian region

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