叶面积与树木生长密切相关,是量化树木潜在生产能力的重要因子,其动态变化直接驱动林木生长的变化。树木或林分的材积(蓄积)平均生长量达到最大时的年龄为数量成熟龄,它是确定合理采伐年龄的依据之一。为了对杉木这一重要速生用材树种进行更有效的培育管理,分析杉木林分叶面积的动态变化规律及其峰值时间节点,并解析峰值时间节点与数量成熟龄的关系至关重要。
我所人工林定向培育研究组依托江西、湖北和湖南3个地区54块样地,共144株解析木的数据,基于6种生长方程,采用非线性混合效应模型解析杉木林分叶面积峰值时间与数量成熟龄的关系取得了新进展。
研究结果表明,在不同气候区,林分叶面积的动态变化都呈单峰形式;林分蓄积平均生长量与林分叶面积在林分动态变化过程中的变化趋势很接近,且达到峰值的时间也基本相同;不同气候区林分叶面积峰值时间(江西:21年;湖北:21年;湖南:19年)与数量成熟龄(江西:22年;湖北:21年;湖南:20年)保持高度一致。
本研究在考虑林分自然稀疏的前提下,从数学分析和理论模型的角度证明了杉木林分叶面积动态变化呈单峰型,而非达到顶峰后保持不变,同时也表明林分叶面积达到顶峰后下降是由于林分密度的降低引起的。另外,数量成熟龄确定合理与否,直接关系到林地资源是否能够得到合理利用,直接影响经营者的经济利益。本研究结果表明杉木人工林林分叶面积峰值时间与数量成熟龄具有高度的一致性,不仅填补了领域内的研究空白,同时也为数量成熟龄的划定以及合理经营不同气候梯度的杉木人工林提供了理论依据。
相关论文“Does the peak time of stand leaf area equal the biological maturity age of forests?”于4月14日线上发表在一区Top期刊《Forest Ecology and Management》上。我所硕士生屈彦成为论文第一作者,张雄清研究员为通讯作者,张建国研究员指导并参与了该研究工作。该工作得到了国家自然科学基金面上项目的资助。(张雄清/林业所)
图1 林分叶面积随林龄的变化趋势
(a, b, c分别代表江西(21年)、湖北(21年)和湖南(19年))
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)
图2 林分蓄积平均生长量(MAI)和连年生长量(CAI)随林龄的变化趋势
(a, b, c分别代表江西(22年)、湖北(21年)和湖南(20年))